HELP ASAP!!!!!!!!!!!!!!!!!!

HELP ASAP!!!!!!!!!!!!!!!!!!

Answers

Answer 1

Answer:

A: 3x^2/x^2 - 6x-7

numerator: 3x * x = 3x^2

denominator: (x+1) (x-7) = x^2 - 7x + x -6 = x^2 - 6x - 7


Related Questions

I NEED HELP ASAP,THANKS! :)
Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy seats must be sold and at least 6 deluxe seats must be sold. The maximum number of passengers allowed on each boat is 30 Roland’s Boat Tours makes $40 profit for each economy seat sold and $35 profit for each deluxe seat sold. What is the maximum profit from one tour? Show work.

Answers

Answer:

  $1170

Step-by-step explanation:

Let x and y represent the numbers of economy and deluxe seats sold. The constraints are ...

x ≥ 1y ≥ 6x +y ≤ 30

And the objective function we want to maximize is ...

  p = 40x +35y

__

I find it convenient to graph the equations and locate the objective function line as far from the origin as possible. The graph is shown, along with the solution.

Here, it's even simpler than that. The profit per seat is the greatest for economy seats, so Roland's should sell as many of those as they can. The only limit is that 6 seats must be deluxe. The remaining 30-6=24 can be economy. So, the profit will be maximized for ...

  24 economy seats and 6 deluxe seats

The corresponding profit will be ...

  24(40) +6(35) = 1170

The maximum profit from one tour is $1170.

What is this expression in simplified form?
3^3 x 6^6

Answers

Answer:

i think its 1259712.

Step-by-step explanation:

when we find3^3 and 6^6 we get, 27×46656

and by multiplying them we get, 1259712...

is answer

Answer:

  1,259,712

Step-by-step explanation:

Follow the order of operations, evaluating exponents first:

  3^3 × 6^6 = 27 × 46,656 = 1,259,712

_____

When in doubt, the Google calculator can be relied upon to follow the order of operations. (Use an asterisk (*) for multiplication.)

What is the greatest common factor of 42 and 35?

Answers

What is the greatest common factor of 42 and 35? 7

Answer:

  7

Step-by-step explanation:

Your knowledge of multiplication tables tells you ...

  42 = 6·7

  35 = 5·7

The common factor is 7.

_____

You can use Euclid's algorithm to find the GCF. Find the remainder when the larger number is divided by the smaller. If that remainder is zero, the smaller number is the GCF. If the remainder is not zero, start again using the smaller number and the remainder.

  42 ÷ 35 = 1 r 7 . . . the remainder is not 0

  35 ÷ 7 = 5 r 0 . . . . the GCF is the divisor, 7.

Which equation represents a population of 250 animals that decrease at the annual rate of 12%

Answers

Answer:

P = 250(1 - 0.12)^t

Step-by-step explanation:

Since it is a decrease in population, we have 1 minus the rate. Since we start out with 250, we have 250 times 1 minus the rate. Since we are dealing with annual loss, we get 250(1 - 0.12)^t.

250 - starting population

1 - rate (0.12) - decreasing rate

t - time elapsed

Answer: p = 250(0.88)^t

If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation?

Answers

Answer:

A

Step-by-step explanation:

First, we can change the equation into y = mx + b form:

y - 3x = -14

y = 3x - 14

Now, we can just replace y with g(x):

g(x) = 3x - 14

help with this I don't know how to solve

Answers

Answer:

86.53

Step-by-step explanation:

Area of Triangle Formula: A = 1/2bh

Pythagorean Theorem: a² + b² = c²

Step 1: Draw altitude and label numbers

If we draw a line down the middle, we can see that we get a perpendicular bisector and that we get 2 right triangles with a hypotenuse of 29 and a leg of 3. We need to find h using Pythagorean Theorem in order to use area formula:

3² + b² = 29²

b² = 29² - 3²

b = √832 = h

Step 2: Plug in known variables into area formula:

A = 1/2(√832)(6)

A = 3√832

A = 86.5332

compute the probability of drawing two spades from a deck of cards

Answers

Answer:

The probability of drawing two spades is 3/51. Hope this helps!!

Step-by-step explanation:

Box A contains 5green and 7 red balls. Box B contains 3green, 3 red and 6 yellow balls. A box is sleeted at random and a ball is drawn at random from it. What is the probability that the drawn ball is green?

Answers

Answer:

5/48

Step-by-step explanation:

Given

the sample space for box A

green balls = 5

red balls= 7

sample size= 5+7= 12

the sample space for box B

green balls = 3

red balls= 3

yellow balls= 6

sample size= 3+3+6= 12

The probability of drawing a green ball from box A= 5/12

The probability of drawing a green ball from box B= 3/12= 1/4

Therefore the probability of picking a green ball from either of the boxes at random is =[tex]=\frac{5}{12} *\frac{1}{4}[/tex][tex]=\frac{5}{48}[/tex]

What is the greatest common factor of 48 and 32?

Answers

Answer:

GCF - 16

Step-by-step explanation:

48 - 1, 2, 3, 4, 6, 8, 12, 16

32 - 1, 2, 4, 8, 16

Hope this helps! :)

Answer:

16

Step-by-step explanation:

48=3*16

32=2*16

The width of a rectangle is 6 less than the length. Let L represent the length of the rectangle. Write an expression for the width of the rectangle.

Answers

Answer:

W+6 = Y.

Or

Y -6 = W

Step-by-step explanation:

Let's call the length of the rectangle L.

And let W represent the width of the rectangle.

Let's write an expression to determine the width of the rectangle relative to the length of the rectangle.

From the question, the width W is 6 less than the length L of the rectangle.

It means the length is greater than the width with 6 units.

The expression is

W+6 = Y.

Or

Y -6 = W

can someone help me asap pls?

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Trigonometry.

so here, we gonna use the cosine ratios.

so here, we also use the Pythagoras Theorem.

[tex] {h}^{2} + {k}^{2} = {r}^{2} [/tex]

so we here, we get

h= 1 ,

[tex]h = 1 \: r = 2 \: k = \sqrt{3} \: \\ \alpha = 60 \: \beta = 30[/tex]

one more and my little friend is done with school loll

Look at the following numbers: –7, 0, 7, 14 Which pair of numbers has a sum of 0?
Which pair of numbers has a sum of 0?

0, 7
–7, 7
7, 14
–7, 14

Answers

Answer:

-7 and 7

Step-by-step explanation:

-7+7=0

because they are opposite numbers

Step-by-step explanation:

-7+7= 0

it is hence -7 and 7

Consider the following equations. f(x) = − 4/ x3, y = 0, x = −2, x = −1. Sketch the region bounded by the graphs of the equations and find the area of the region.

Answers

Answer:

1.5 unit^2

Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

                         [tex]f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2[/tex]

- The plot is given in the document attached.

- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).

- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.

We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).

The double integration formulation can be written as:

                           [tex]A= \int\limits_c^d \int\limits_a^b {} \, dy.dx \\\\A = \int\limits_c^d { - \frac{4}{x^3} } . dx\\\\A = \frac{2}{x^2} |\limits_-_2^-^1\\\\A = \frac{2}{1} - \frac{2}{4} \\\\A = \frac{3}{2} unit^2[/tex]

Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.

if there are about 3.346x10^26 molecules of water in a liter of water and the ocean is about 1.26x10^21 liters in volume, how many water molecules are there in the ocean?

Answers

Answer: 4.21596 x 10⁴⁷

Step-by-step explanation:

  (3.346 x 10²⁶) (1.26 x 10²¹)

= (3.346 x 1.26) x 10²⁶⁺²¹

= 4.21596 x 10⁴⁷

PLEASE HELP ASAP!!! A toy store has 10 stores all about the same size in a city the graph shows sales for one of the stores last month. Which statement is best supported by the information in the graph?

Answers

Answer:

The first one

Step-by-step explanation:

Took the test

Answer: 1/10 of the store's total sales last month were in appliances (lower right corner)

Step-by-step explanation:

Let's go through the four possible answers

In the upper left corner it says "Total mobile phone sales is likely 27,000" which is a paraphrase of what is given. The chart gives 9000 as the phone sales for that one particular store. If all stores are identical in performance, then we have 4*9000 = 36000 in total mobile phone sales. Of course, it's impossible to know for sure how the other stores did. So we can eliminate this as one of the answers.

In the upper right corner, it says "13% of the stores sales was in car electronics" (also paraphrased). We have 13 thousand in car electronics out of 17+13+6+9+15 = 60 thousand total. Divide the two values: 13/60 = 0.2167 = 21.67% approximately. So we can eliminate this as an answer.

In the lower left corner, it says "the total sales is likely greater than $300,000" but we don't know for sure because again we don't have the other charts for the three other stores. Assuming the four stores perform the same, then we'd have 4*60 = 240 thousand as the total and not 300 thousand. It's safe to say we can eliminate this as an answer.

In the lower right corner, it says "1/10 of the stores sales were appliances". This statement is true. Why? Because 6 thousand is the sales figure for appliances out of 60 thousand total. Divide the values: 6/60 = 1/10. So this is why the lower right corner is the answer.

g The p-value of a test is the probability of obtaining a result as or more extreme as the one obtained in the sample, assuming the null hypothesis is false

Answers

Answer:

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

Step-by-step explanation:

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

We reject the null hypothesis if the p-value of a statistic is lower than the level of significance α.

And we fail to eject the null hypothesis if the p-value of a statistic is greater than the level of significance α.

A lower p-value indicates that the result is statistically significant.

And a higher p-value indicates that the result is not statistically significant.

A statistics professor drew a random sample of 81 observations and found that x with bar on top equals 62 s equals 15. Estimate the LCL of the population mean with 90% confidence. Report your answer to two decimal places.

Answers

Answer:

LCL = 59.26 to two decimal places

Step-by-step explanation:

Here, we want to estimate the LCL of the population mean with 90% confidence

We proceed as follows;

Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15

Mathematically;

LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81

LCL = 62- (24.675)/9 = 59.2583

LCL = 59.26 to two decimal places

The shape on the left is transformed to the shape on the right. Figure A B C D is rotated to form figure A prime B prime C prime D prime. Which of the following statements describes the transformation? A B C D right-arrow A prime B prime C prime D prime A prime B prime C prime D prime right-arrow A B C D A B C D right-arrow D prime A prime C prime B prime D prime B prime C prime A prime right-arrow C A D B

Answers

Answer:

A

Step-by-step explanation:

I did the test and it is the only one that makes sense

Answer:

a

Step-by-step explanation:

18. You are standing beside the Colorado River, 400 feet
from the base of Hoover Dam. Using an electronic distance
measuring device, you find the distance to the top of the dam
to be 965 feet. Use the diagram at the right to find the height
of the dam.
965ft
a.
561.6 ft
b. 781.6 ft
c. 566 ft
400 ft
166 ft

Answers

Answer: B. 781.6 feet approximately

=======================================================

Work Shown:

The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965

Use the pythagorean theorem

a^2+b^2 = c^2

566^2+x^2 = 965^2

x^2 = 965^2 - 566^2

x = sqrt( 965^2 - 566^2 )

x = 781.58108984289 which is approximate

x = 781.6 feet when rounding to one decimal place

I flip a fair coin 17 times. Answer the following questions:
a. What is the probability of getting 9 heads?
b. What is the probability of getting 2 heads?
c.. What is the probability of getting 1 tail?
d. What is the probability of getting 14 or more heads?
e. What is the probability of getting 17 tails?

Answers

Answer:

A) 0.1855

B) 0.0010376

C) 0.0001297

D) 0.006363

E) 0.000007629

Step-by-step explanation:

In calculation of a probability, we normally take the ratio of the number of ways to meet a certain condition (i.e. the numerator) divided by the number of ways to pick from a pool (i.e. the denominator).

So what are the number of ways the flip of a coin 17 times can come out?

A coin has a head and tail, so each toss will have two possible results. If we toss once, we have 2 possible results. If we toss, twice we have 2² = 4 possible results.

If we toss thrice, we have 2³ = 8 possible results, etc.

Thus, for 17 tosses, we will have 2^(17) = 131072 possible results.

A) To achieve the probability of getting 9 heads, we will use combination formula;

C(n, k) = n! / (k!(n - k)!)

In this case, n = 17 and k = 9

So,

P(9 heads) = 17! / (9!(17 - 9)!) = 24310

Thus,

P(9 heads in 17 tosses of a fair coin) = 24310/131072 = 0.1855

B) Similar to A above;

P(2 heads) = 17! / (2!(17 - 2)!) = 136

Thus,

P(2 heads in 17 tosses of a fair coin) = 136/131072 = 0.0010376

C) Similar to A above;

P(1 tail) = 17! / (1!(17 - 1)!) = 17

Thus,

P(1 tail in 17 tosses of a fair coin) = 17/131072 = 0.0001297

D) probability of getting 14 or more heads?

Since, there are 17 tosses, this will be;

P(14 or more heads in 17 tosses) = P(14 heads in 17 tosses) + P(15 heads in 17 tosses) + P(16 heads in 17 tosses) + P(17 heads in 17 tosses)

P(14 heads) = 17! / (14!(17 - 14)!) = 680

P(15 heads) = 17! / (15!(17 - 15)!) = 136

P(16 heads) = 17! / (16!(17 - 16)!) = 17

P(17 heads) = 17! / (1!(17 - 17)!) = 1

Thus;

P(14 heads in 17 tosses) = 680/131072 = 0.005188

P(15 heads in 17 tosses) = 136/131072 = 0.0010376

P(16 heads in 17 tosses) = 17/131072 = 0.0001297

P(1 head in 17 tosses) = 1/131072 = 0.00000763

P(14 or more heads in 17 tosses) = 0.005188 + 0.0010376 + 0.0001297 + 0.00000763 = 0.006363

E) Similar to A above;

P(17 tails) = 17! / (17!(17 - 17)!) = 1

Thus,

P(17 tails in 17 tosses of a fair coin) = 1/131072 = 0.000007629

During a 5 5 -day period, a florist served a different number of customers at a flower shop each day. The mean number of daily customers served during this period was 17 17 . In the following month, during another 5 5 -day period, the florist served 16 16 customers per day for four of the days, but served 25 25 customers on the fifth day. What is the difference between the mean number of customers the florist served during each of the two five-day periods?

Answers

Answer:

0.8

Step-by-step explanation:

Mean for the first 5 day period = 17

Mean for the second 5 day period = 17.8

Difference 17.8 - 17 = 0.8

The difference between the mean number of customers the florist served during each of the two five-day periods is of 0.8.

-------------------------------

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

-------------------------------

First period:

5 days, mean of 17.

-------------------------------

Second period:

First four days, mean of 16, thus total of [tex]4 \times 16 = 64[/tex]Fifth day, 25 customers.

Thus, 64 + 25 = 89 customers in 5 days, and the mean is:

[tex]M = \frac{89}{5} = 17.8[/tex]

-------------------------------

Difference:

17.8 - 17 = 0.8

The difference between the mean number of customers the florist served during each of the two five-day periods is of 0.8.

A similar question is given at https://brainly.com/question/10235056

Find the values of x and y in these equations. (x + yi) + (4 + 6i) = 7 − 2i (equation A) (x + yi) − (-8 + 11i) = 5 + 9i (equation B)

Answers

Answer:

Step-by-step explanation:

(x+yi)+4+6i=7-2i

x+yi=7-2i-4-6i

x+yi=3-8i

equating real and imaginary parts

x=3,y=-8

B.

x+yi=5+9i+(-8+11i)

x+yi=5+9i-8-11i

x+yi=-3-2i

equating real ,and imaginary parts

x=-3

y=-2

The value of x  and y for equation A is

[tex]x=3, y=-8[/tex]

The value of x  and y for equation B is

[tex]x=-3 , y=20[/tex]

Given :

[tex](x + yi) + (4 + 6i) = 7 - 2i[/tex]

find the value of x  and y in the given equation

Lets open the parenthesis and combine like terms

Equate the real and imaginary part to solve for x  and y

[tex]\left(x+4\right)+\left(y+6\right)i=7-2i\\x+4=7\\x=3\\\\y+6=-2\\y=-2-6\\y=-8[/tex]

The value of x=3  and y=-8

Now we do the same with second equation

[tex](x + yi) - (-8 + 11i) = 5 + 9i\\\\x+8+yi-11i=5+9i\\\left(x+8\right)+\left(y-11\right)i=5+9i\\x+8=5\\x=-3\\\\y-11=9\\y=9+11\\y=20[/tex]

The value of x  and y is x=-3 and y=20

Learn more : brainly.com/question/18552411

If a sample of size 41 is selected, the value of A for the probability P(-A ≤ t ≤ A) = 0.90 is:

Answers

Answer: 1.684

Step-by-step explanation:

since sample size (n) is 41

confidence level = 0.90 = 90%

df = n - 1

df = 41 - 1

df = 40

that is For Degrees of Freedom = 40

significance level α = 1 - (confidence level / 100)

Significance Level α = 1 - (90/100 ) =  0.10

using the z-score

critical values of t = 1.684

A graph has been attached to further assist.

solve for n n/5+0.6=2

Answers

Tip: use inverse operations
n/5 +.6 =2
n/5 = 1.4
n=7

Check:
7/5 + .6=2
1.4 + .6= 2
2=2

Final answer:
N=7

Answer:

N=7

Step-by-step explanation:

It is correct on Khan

how do you mathematically write 6 inches and 4 1/2 inches

Answers

I’m not exactly sure what this means.

But you can use “ to abbreviate the labels.

So it would be 6” and 4.5”

Answer:

Step-by-step explanation:

There is some ambiguity in this question. I think you want 4.5 + 6 = 10.5 inches.

You wish to accumulate $14,580 in 6 years. Payments are made at the end of every six-month period into an account earning 7.2% compounded semi-annually. Find the required payment amount to accomplish your goal.

Answers

Equation required for this question:

an • 1.072^n = 14,580

Where a = payment every half year and n = number of half years

There are 12 half years in 6 years.

Therefore n = 12, substitute this.

12a • 1.072^12 = 14,580

12a = 14,580 / 1.072^12

12a = 6,330~

a = 527.5 ~

Please help I will give out brainliest

Answers

Answer:

answer B

Step-by-step explanation:

the front elevation is facing you and has 2 squares on the top-layer and the bottom row starts under the right top-layer square

that makes the answer B.  I'm prett sure

Answer:

I believe the answer is B

Write your answer using only positive exponents

Answers

Answer:

Step-by-step explanation:

Hello

[tex](-4b^5c^{-6})^3\\\\=(-1)^34^3b^{15}v^{-18}\\=-64b^{15}c^{-18}\\\\=\dfrac{-64b^{15}}{c^{18}}\\[/tex]

hope this helps

The simplified form of the given exponential expression is -64b¹⁵/c¹⁸.

What is the exponent?

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given exponential expression is (-4b⁵c⁻⁶)³.

Here, the given expression can be written as -4³(b⁵)³(c⁻⁶)³

= -64b¹⁵c⁻¹⁸

= -64b¹⁵/c¹⁸

Therefore, the simplified form of the given exponential expression is -64b¹⁵/c¹⁸.

To learn more about an exponents visit:

https://brainly.com/question/15993626.

#SPJ2

You just purchased two coins at a price of $1,030 each. Because one of the coins is more collectible, you believe that its value will increase at a rate of 7.7 percent per year, while you believe the second coin will only increase at 7.1 percent per year. If you are correct, how much more will the first coin be worth in 20 years

Answers

Answer:4541(Rounded) 4541.99779(Unrounded)

Step-by-step explanation:

A= P(1 + r)^T

A= answer

P=principle(amount of money)

r=Rate(percent / 100)

T=Time(Annually)

1030(1 + .077)^20

Brainliest would be appericiated!

URGENT!! Solve the triangle for all missing sides and angles. Part 2: Use the law of sines to find the length of side a. Part 3: Use any method to find the length of side c.

Answers

Answer:

B = 55°

a ≈ 143

c ≈ 212

Step-by-step explanation:

From the triangle above we are given a triangle with two known angles and a known side. The sum of angles in a triangle is 180°. Since we are given two angles, the last angle can be gotten when you subtract the two known angles from 180°. Therefore,

angle B = 180° - 42° - 83°

angle B = 55°

To find side a we can use law of sine

a/sin A = b/sin B

a/sin 42° = 175/sin  55°

a/0.66913060635  = 175/0.81915204428

cross multiply

0.81915204428 a  = 117.097856113

divide both sides by 0.81915204428

a =  117.097856113 /0.81915204428

a = 142.950087143

a ≈ 143

To find side c

b/sin B = c/sin C

175/sin 55 = c/sin 83°

cross multiply

c sin 55° = 175 sin 83°

divide both sides by sin 55°

c = (175 × 0.99254615164)/0.81915204428

c = 173.695576537 / 0.81915204428

c = 212.043146019

c ≈ 212

Other Questions
PLEASE HELP!! will mark brainliest! Complete the point-slope equation of the line through (1,3) and (5,1). y-3= The equation of a parabola in the xy-plane is given asy= n(x + 5)(x - 3) where n is a non-zero constant. Whatis the y-coordinate of the vertex of this parabola interms of n?A. -18nB. -16nC. -15nD. -12n Solve: 6(1-3) = 2(9-21) Rank the following in terms of increasing atomic radius Mg, Sc, Ca How does the use of imagery help establish the setting of this poem Title: Ohms Law using PhET Simulation The fundamental relationship among the three important electrical quantities current, voltage, and resistance was discovered by Georg Simon Ohm. The relationship and the unit of electrical resistance were both named for him to commemorate this contribution to physics. One statement of Ohms law is that the current through a resistor is proportional to the voltage across the resistor and inversely proportional to the resistance. In this experiment you will see if Ohms law is applicable by generating experimental data using a PhET Simulation:_____________. A_____ Cell is one that has one copy of each chromosome How is a voltmeter used in a circuit?A. It is connected in series and measures current.B. It is connected in parallel and measures potential difference.C. It is connected in parallel and measures current.D. It is connected in series and measures potential difference. consider a politician discussion group consisting of eight Democrats three Republicans and seven Independents suppose that two group members are randomly selected in succession to attend political convention find the probability of selecting an independent and then a Democrat Let X be the damage incurred (in $) in a certain type of accident during a given year. Possible X values are 0, 1000, 5000, and 10000, with probabilities 0.80, 0.08, 0.10, and 0.02, respectively. A particular company offers three different policies: a $200 deductible with a $780 premium, a $500 deductible with a $700 premium, and a $1000 deductible with a $590 premium. (A $Y deductible means the insurance company pays X - Y for X Y and 0 for X Y.) Compute the expected profit for each policy. Five red marbles, 3 green marbles, and 2 blue marbles are place in a jar. What is the probability of selecting a green marble and then a blue marble, given the first marble is not returned to the jar after it is drawn? What is the hypothesis in the following conditionalstatement?"If a polygon has three sides, then it is a triangle."O A) It is a triangle.OB) It is not a triangle.OC) A polygon has three sides.OD) A polygon does not have three sides. A rectangle with an area of 192 square meters has a length and width in a ratio of 3:1. What are the length and width? Complete the following statements to prove that IKL and JLD are supplementary angles. It is given that EIJ GJI. Also, EIJ IKL and GJI JLK, as they are corresponding angles for parallel lines cut by a transversal. By the definition of congruent angles, mEIJ = mGJI, mEIJ = mIKL, and mGJI = mJLK. So, mIKL = mJLK by the ___________ (substitution property of equality, subtraction property of equality , or symmetry property of equality.) . Angle JLK and JLD are supplementary angles by the _____________________ (vertical angles theorem, congruent supplements theroem, or linear pair theroem.) so mJLK + mJLD = 180. By the (substitution property of equality reflexive property of equality, or division property of equality) , mIKL + mJLD = 180. Therefore, IKL and JLD are supplementary angles by definition. I need the answer to C. select the correct answer from each drop down menu. jack has to pay 1.) ___ taxx to the government for his house. This type of tax is 2.)___ tax. options for answer 1.) excise, gift, property, sales 2.) a direct, an indirect, a proportional, a regressive. A cup of instant rice makes 1.5 cups of cooked rice . How many cups of cooked rice will 3 cups of instant rice make ? You need to have $33,250 in 20 years. You can earn an annual interest rate of 4 percent for the first 6 years, 4.6 percent for the next 5 years, and 5.3 percent for the final 9 years. How much do you have to deposit today Intangible assets derived mostly from human capital are on the rise, according to the advisory firm Ocean Tomo. A study of the Standard and Poors' 500 index from 1975 to 2015 demonstrated a 17 percent increase in market value of intangible assets over this time period. Companies such as Stryker get 70 percent of its value from intangibles. Intangible assets are The mean of 3,x,14,11,13 is 10. find x