Consider parallelogram JKLM below.
Use the information given in the figure to find x, m
ZL, and m ZLMK.

Consider Parallelogram JKLM Below.Use The Information Given In The Figure To Find X, MZL, And M ZLMK.

Answers

Answer 1

Answer:

x = 5

∠L = 114°

∠ LMK  = 31°

Step-by-step explanation:

In parallelogram, opposite sides are parallel and equal.

3x = 15

Divide both sides by 3

3x/3 = 15/3

x = 5

In parallelogram, opposite angles are equal

∠L = ∠J

∠L = 114°

In ΔJKM,

∠J + ∠JKM +  ∠JMK = 180 {Angle sum property of triangle}

114 + ∠JKM  + 35 = 180

149 + ∠JKM  =180

∠JKM  = 180 - 149

∠JKM  = 31°

JK & ML are parallel and  KM is transversal

Therefore, ∠ LMK  =JKM    { oppoiste interior angles are congruent}

                  ∠ LMK  = 31°

Answer 2

Answer:

x = 5

∠L = 114°

∠ LMK  = 31°


Related Questions

WHAT IS THE TRUE SIMILARITY STATEMENT

Answers

Answer:

Option 2

Step-by-step explanation:

ΔPQR - ΔSTR

Because

∠S ≅ ∠P

∠T ≅ ∠Q

∠R ≅ ∠R

I hope this helps you

The right triangular prism has a volume of 1,152 cm3. A right triangular prism has a volume of 1,152 centimeters cubed. The triangular bases have 2 sides with lengths of 12 centimeters. The hypotenuse length is not given. The height of the prism is x centimeters. What is the value of x, the height of the prism? 6 8 12 16

Answers

Answer:

  16 cm

Step-by-step explanation:

A "right" prism is one that has the planes of the lateral faces perpendicular to the plane of the base. Here, we assume your "right triangular prism" is one that has a right triangle as a base, because you mention the "hypotenuse."

The area of the base is ...

  A = (1/2)bh = (1/2)(12 cm)(12 cm) = 72 cm²

The volume of the prism is ...

  V = Bh . . . . where B represents the area of the base

Filling in the numbers, we have ...

  1152 cm³ = 72 cm²×h

  h = (1152/72) cm = 16 cm

The height of the prism is 16 cm.

Answer:

16 cm

Step-by-step explanation:

g(x) = x2 + 2x - x - 2

Answers

Hope this image helps you :)

Can someone help me ​

Answers

Answer:

y=22cm

Step-by-step explanation:

using L×B=A where y is L

308=14y

y=308/14

y=22cm

Match each polynomial expression to is additive inverse

Answers

Answer:

hope you get it ........

here is a screenie of the answer !!

Which represents the reflection of f(x) = x over the y-axis?
х
-1
0
1
4
f(x)
undefined
0
1
2
f(x)
х
-1
0
1
1
0
-1
-2
4

Answers

Answer:

Graph having x ≤ 0

Step-by-step explanation:

f(x) = [tex]\sqrt{(-x)}[/tex]

Given function 'f' when reflected across the y--axis,

Translated form of the parent function will be,

g(x) = [tex]\sqrt{(-x)}[/tex]

Table for the input-output values for this function will be,

x             g(x)

-1               1

0               0

1              undefined

4             undefined

Table shows that the given function is undefined for x > 0

Domain of g(x) will be (-∞, 0],

Therefore, graph having values of x ≤ 0 will be the answer.

Answer:

I think its D on edge!

Step-by-step explanation:

Explain the significance of the equation 100x -2y+ 400 = 0 which represents the hourly cost of a car repair.

Answers

Answer: The significance is that it is how much you will pay for the total repair which will help you know how much money you will spend.

Step-by-step explanation:

WILL MARK BRAINLIEST!!! 70 POINTS!!! for real answers plz(●'◡'●)

Answers

Answer:

In explanation ! :P

Step-by-step explanation:

Likes hamburgers and burritos : 39

Likes nothing : 33

Total missing : 205

Percentage who do like nothing : 16,09 %

Percentage who like all (without frequency table ) : 19,02 %

( without relative frequencies, sorry they don't let me :( : Is people who don't like burritos but likes hamburgers,they are the strongest )

I hope I helped you !^^

Sorry they don't let me do the frequency table ! :(

The volume of a cone with a height of 6 cm is 8 pi cubic centimeters. Which expression can be used to find r, the radius of the base of the cone? 6 = one-third pi (r squared) (8 pi) 8 pi = one-third pi (r) (6 squared) 6 = one-third (pi r)(8 pi) 8 pi = one-third pi (r squared) (6)

Answers

Answer:

last option is correct

Step-by-step explanation:

Mathematically, we can write the volume of a cone as;

V = 1/3 * pi * r^2 * h

From the question, V is 8 pi cm^3 while h is 6cm

Thus, substituting these values into the equation, we have;

8pi = 1/3 * pi * r^2 * 6

The last option is the correct answer that tallies with the above

Answer:

8 pi = one-third pi (r squared) (6)

its d

Step-by-step explanation:

On a coordinate plane, a straight red line with a negative slope, labeled g of x, crosses the y-axis at (0, negative 7). A straight blue line with a positive slope, labeled f of x, crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2). Both lines intersect at (negative 3, negative 4). Which statement is true regarding the functions on the graph? f(–3) = g(–4) f(–4) = g(–3) f(–3) = g(–3) f(–4) = g(–4)

Answers

Answer:

f(-3) = g(-3)

Step-by-step explanation:

We know that f(x) = g(x) where the two graphs  intersect

f(-3) = g(-3)

Answer:

f(-3) = g(-3)

Step-by-step explanation:

did on edguniuty

A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option. Part B: Graph each equation on the same set of axes and compare. Under what conditions is each purchasing option the best choice? Be sure to provide a thorough answer. Use detailed information from your graph to back up your choices.

Answers

Answer:

y=250x+4000y=400x+400

Step-by-step explanation:

Given that:

x represents the number of months of ownership; and y represents the total paid for the car after ‘x' months.

First Option (Leasing)

250x - y + 4000 = 0

Expressing the equation in the Slope-Intercept Form y=mx+b, we have:

y=250x+4000

Second Option (Financing)

$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).

First, we determine the slope of the line joining (0,400) and (10,4400)

[tex]Slope, m= \dfrac{4400-400}{10-0}= \dfrac{4000}{10}=400[/tex]

We have:

y=400x+b

When y=400, x=0

400=400(0)+b

b=400

Therefore, the Slope-Intercept Form of the second option is:

y=400x+400

Significance

In the first option, there is a down payment of $4000 and a monthly payment of $250.In the second option, there is a down payment of $400 and a monthly payment of $400.

Part B

We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.

i.e

When x=0, y=$4000 for leasingWhen x=0, y=$400 for financing

Find the area of the shaded triangle.

Answers

Answer:

7.5

Step-by-step explanation:

The area of a triangle is found by the formula A=1/2bh, where b is the base length, and h is the height. If we count the squares, we can find that the base length of the triangle is 3 units, and the height is 5 units. If we plug those numbers into the equation to get A=1/2*3*5, we can solve to get A=7.5

On Friday, Mica has $22.50 in her bank account. Mica goes to the market to get groceries for the week and ends up spending more than planned. When Mica checks her account, she now has a balance of $-48.15. How much money did Mica spend at the market?

Answers

Answer: $70.65

Step-by-step explanation:

From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.

To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:

= $22.50 - (-$48.15)

= $22.50 + $48.15

= $70.65

Mics spent $70.65 at the market.

NEED ANSWER IN 2 MINUTES!

Answers

Answer: 11

Step-by-step explanation:

The stem is the 10s place and leaf is the ones

A cylinder has a diameter of 18 inches and a volume of 405/2π cubic inches. What is the height, in inches, of the cylinder? Enter the height in decimal form rounded to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

diameter = 18 inches

radius = r = 18/2 = 9 in

Volume of cylinder = 405π/2

[tex]\pi r^{2}h = \frac{405}{2}\pi \\\\\\\pi * 9 * 9* h =\frac{405}{2}\pi \\\\\\h =\frac{405}{2*9*9*\pi }*\pi \\\\\\h=\frac{5}{2}[/tex]

h = 2.5 inches

Pleaseeeeeee. Helpppppppppppp meeeeeeeeeeee

Answers

Answer:

first tower needs 4

second needs 3

third needs 2

and the fourth needs 1

Total needed triangles for all is 10

Step-by-step explanation:

can someone please help me understand this

Answers

Answer:

No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

Given a function where x represents an input of a particular value, which gives an output for that particular value inputted as defined by the function, if the function is true and valid, a particular value of input should not give us different values of output.

Thus, from the table given, at x = 5, we have y = 3.

Also, at x = 5, we have y = 2.

Here, one x-value is given us two different y-values. This is not true if a function. We cannot regard the table given as representing a function.

Therefore, the answer is:

No, because one x-value corresponds to two different y-values.

. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores pastel, al realizar la revisión de su paleta de pintura, este artista cuenta con siete colores fluorescentes y cinco colores pastel. De lo anterior se puede indicar que la cantidad de maneras en que puede realizar la pintura como lo desea es *

A. 305.
B. 350.
C. 405.
D. 450

Answers

Answer: B. 350.

Step-by-step explanation:

Given: Total number of fluorescent colors = 7

Total number of pastel colors = 5

Since , he want three fluorescent colors and two pastel colors.

Number of ways to select r things out of n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Number of ways to choose colors = [tex]^7C_3\times\ ^5C_2[/tex]

[tex]=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350[/tex]

Hence, the correct option is B. 350.

Yuri measures the height of the water in an aquarium in one metric unit. He then moves the decimal point three units to the left. Which pair of measurements might he be converting? Use the metric table to help answer the question.

Answers

Answer:the answer A( kiloliters to liters)

Answer:

Millimeter to Meter

Step-by-step explanation:

i will give best answer a right rectangular prism is shown What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle

Answers

Answer:

parallelogram

Step-by-step explanation:

Answer:

parallelogram

Step-by-step explanation:

did the test

Andy is buying a car he negitiated a 7% decrease on a £6500 car he wil pay the full balance in 12 equal monthly payments calvulate the amount paid each month

Answers

Answer:

£503.75

Step-by-step explanation:

he negotiated a 7% decrease on a £6500:

the price of the car after discount is : 6500-(6500*7%) = £ 6045

£6045 paid fully in 12 month: £ 6045/12= £503.75

Which of the following equations is graphed below?

Answers

Answer: 3rd answer choice

Step-by-step explanation:

Answer: 4th answer choice

Step-by-step explanation:

The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 390 people entered the park, and the admission fees collected totaled $10650. How many children and how many adults were admitted? NUMBER OF CHILDREN= ? NUMBER OF ADULTS= ?

Answers

Answer:

Children = 200

Adults = 190

Step-by-step explanation:

Children = x

Adults = y

x + y = 390

x = 390 - y..............(1)

20x + 35y = 10650

Substituting

20(390-y) + 35y = 10650

y = 190

x = 390 - 190 = 200

Answer:

Step-by-step explanation:

Number of children = c

Number of adults = a

Total people = 390

a + c = 390 ------------------ (I)

Admission fee for 'c' children = 20 * c = 20c

Admission fee for 'a' adult = 35 * a = 35a

Total amount = $ 10650

35a + 20c = 10650 -------------(II)

Multiply equation (I) by (-20)

(I)*(-20)  -20a - 20c = - 7800

(II)           35a + 20c = 10650    { Now add and so 'c' will be eliminated}

              15a            = 2850

a = 2850/15

a =  190

Plug in a = 190 in equation (I)

190 + c = 390

          c =  390 - 190

c = 200

Number of children = 200

Number of adults = 190

I need help with this question please help

Answers

EF and GF

Explanation:
Congruent means that they are the same size and shape.
The answer is EF and GF

Can someone explain how to do this?

Answers

Answer:

Step-by-step explanation:

You have to make a table. Do this by taking each of the x values you see there and plug in for x into the equation and solve for y. Then plot the points.

x| -1  |  -2  |   -3   |   -4   |   -5   |

y|                                            

We will plug each x value in, do the math, and come up with y. The first x value is -1:

[tex]y=(-1)^2+6(-1)+10[/tex].  Do the math on that and you should get that y = 5. So one coordinate on this graph is (-1, 5).

At x = -2:

[tex]y=(-2)^2+6(-2)+10[/tex]. Do the math on that and you should get that y = 2. Another coordinate on this graph is (-2, 2).

At x = -3:

[tex]y=(-3)^2+6(-3)+10[/tex]. Do the math on that and you should get that y = 1. A third coordinate on this graph is (-3, 1).

At x = -4:

[tex]y=(-4)^2+6(-4)+10[/tex]. Do the math on that and you should get that y = 2. A fourth coordinate on this graph is (-4, 2).

At x = -5:

[tex]y=(-5)^2+6(-5)+10[/tex]. Do the math on that and you should get that y = 5. A fifth point on that graph is (-5, 5).

Plot all those points and connect the dots. This is a parabola-shaped graph because your equation is a second degree (quadratic).

Which of the following is the graph of y= log3(x + 2)?
PLEASE ANSWER

Answers

Answer:

Correct answer option A.

Step-by-step explanation:

We need to figure out the graph of

[tex]y= log_3(x + 2)[/tex]

First of all, let us discuss graph of:

[tex]y=log_3x[/tex]

Putting x = 1 :

[tex]y=log_31 = 0[/tex] ([tex]\because[/tex] log of 1 is always 0 irrespective of the base)

i.e. point (1, 0) lies on the graph.

And when we put x = 1, the log function tends to -[tex]\infty[/tex].

i.e. [tex]x\rightarrow 1 \Rightarrow y\rightarrow -\infty[/tex]

Putting x = 3

[tex]y =log_33 = 1[/tex] i.e. point (3, 1)  lies on the graph

Graph of logarithmic function is always increasing.

Now, let us consider the graph of [tex]y= log_3(x + 2)[/tex]

Putting x = -1, [tex]y= log_3(-1 + 2) = log_31 = 0[/tex] So, the point that lies on graph is (-1, 0)

Putting x = 1, [tex]y= log_3(1 + 2) = log_33 = 1[/tex] So, the point that lies on graph is (1,1).

Putting x = -2, [tex]y= log_3(-2 + 2) = log_30 \rightarrow -\infty[/tex]

Please refer to attached graph as well.

Correct answer option A.

The correct option is A, just got it right (:

help I don’t understand this

Answers

Answer: 90 degrees

Step-by-step explanation: Each of these angles are at 90 degrees since there is a square box at each of their second points.

What is g(x)?
A. g(x) = -2
B. g(x) = -x
C. g(x) = -|x|
D. g(x) = -x^2

Answers

Answer:

A. g(x) = -2^x.

Step-by-step explanation:

If g(x) = -2, it would be a straight line running horizontally.

If g(x) = -x, it would be a linear equation.

If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.

So, the remaining answer is that A. g(x) = -2^x.

Hope this helps!

Its A, [tex]-2^x[/tex].

For inputs x you can find corresponding y-values on the graph of function:

[tex]x=1\implies y=-2^1=-2[/tex]

[tex]x=2\implies y=-2^2=-4[/tex]

[tex]x=3\implies y=-2^3=-8[/tex]

.

.

.

Hope this helps.

Use long division to find the quotient below.
(4x3 + 2x2 + 50) / (2x+5)

Answers

The quotient of the equation 4x³ + 2x² + 50 ÷ 2x + 5 using long division method is 2x² - 4x

Long division

4x³ + 2x² + 50 ÷ 2x + 5

[tex] \sqrt[2x + 5]{ {4x}^{3} + {2x}^{2} + 50 } [/tex]

2x² - 4x

_____________

= 2x + 5 | 4x³ + 2x² + 50

4x³ + 10x²

__________

- 8x² + 50

-8x² - 10

__________

40

Therefore,

the quotient is 2x² - 4xThe remainder is 40

Learn more about long division:

https://brainly.com/question/25289437

#SPJ1

please help mee plzzzzz...solving quadratics​

Answers

Answer:

equation: x^2+12x-220 = 0

factored form: (x-10)(x+22) = 0

solution: x=10 or x=-22

dimensions: 4 cm, 11 cm, and 21 cm.

Step-by-step explanation:

Given:

Volume = 924

dimensions of cuboid = 4, (x+1), (x+11)

Solution

Calculate volume

4(x+1)(x+11) = 924

simplify

(x+1)(x+11) = 231

Expand

x^2+12x+11 = 231

Simplify

x^2+12x-220 = 0

Factor  

x^2-10x + 22x -220 = 0

x(x-10) + 22(x-10) = 0

(x-10)(x+22) = 0

x=10 or x=-22

Since x=-22 will give rise to negative dimensions, root will be rejected.

For x=10, the dimensions can be obtained by substituting x=10

x+1 = 11

x+11 = 21

So dimensions are

4 cm, 11 cm, and 21 cm.

Check: 4*11*21 = 924 checks.

Other Questions
Please answer this correctly Anita purchased apples priced at $1.79 per pound at the grocery store. Her receipt shows that she spent $5.37 on apples. Hommie Delicacies produces two products (Orapine and Banango) from a joint process. The joint cost of production is GH80,000. Five thousand units of Orapine can be sold at split-off for GH20 per unit or processed further at an additional cost of GH20,000 and sold for GH25 per unit. Ten thousand units of Banango can be sold at split-off for GH15 per unit or processed further at an additional cost of GH20,000 and sold for GH16 per unit. Advise Hommie on further processing each of the products? (5 marks) Which of the following is an example of competition in the marketplace? What is the solution to the equation x^2+2x-25=x+5 x = 6 x = 5 x = 6, x = 5 x = 6, x = 5 PLEASE HELP ME OUT Move point b to different locations in the coordinate plane. What do you notice about the relationship between BG and GF? Explain in terms of Point C AB and AB = 33 cm. Point C is 2 times farther from point B than point C is from point A. Find AC and CB. Answer:AC = cm, CB = cm Which gland controls blood glucose levels?A. TestesB. OvariesC. ThymusD. Pancreas The probability of a randomly selected adult in one country being infected with a certain virus is 0.003. In tests for the virus, blood samplesfrom 29 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combinedsample to test positive? Note that the combined sample tests positive if at least one person has the virus.The probability that the combined sample will test positive is(Round to three decimal places as needed.) Pls help ima mark BRAINLIST Number of Enlistment Cards35030025020015010050193819391940194119421943194419451946Number of Enlistment Cards (in 10.000)Which event led to the peak of 3,030,407 enlistments for US military service in 1942?the Blitzkrieg of London by German air forcesthe declaraton of war by the Soviet Union on Germanythe attack on the Pearl Harbor naval base by JapanO the discovery of concentration camps in Poland Stacey wishes to make a hamburger which is lower in fat without having to give up the great taste. She purchases 5 pounds of ground beef which is 15% fat and combines it with 7 pounds of ground turkey which is only 3% fat. What is the percentage of fat in the mixture? what is traslocation Please help!! (07.04 LC) The solution to 12x = 36 is x =___. Equipment was purchased for $300,000. Freight charges amounted to $14,000 and there was a cost of $40,000 for building a foundation and installing the equipment. It is estimated that the equipment will have a $60,000 salvage value at the end of its 5-year useful life. Depreciation expense each year using the straight-line method will be:________. a. $70,800 b. $58,800 c. $49,200 d. $48,000 The next dividend payment by Skippy, Inc., will be $2.12 per share. The dividends are anticipated to maintain a growth rate of 8 percent, forever. The stock currently sells for $43 per share. What is the required return erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. Which explicit formula models this situation? A. an=100 + (n-1)21 B. an=100 + (n-1)5 C. an=5 + (n-1)100 D. an=21 + (n-1)5 Can someone help me solve this? Solve algebraically for x: -23(x + 12) + 23x = 54x + 2 Chorionic villi are more prolific Select one: a. Adjacent to the yolk sac b. Opposite the cervical os c. Near the implantation site d. Adjacent to the uterine fund us