PLEASE ANSWER ASAP THANKS

Answer:

Check it below, please

Step-by-step explanation:

Hi there!

Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.

Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.

Statement                     Reason

[tex]\overline{AB} \cong \overline{AC}\\[/tex]                     Given

[tex]\widehat{ACB} \:bisects\: \overline{AB}[/tex]        Isosceles Triangle the altitude, the bisector coincide.          

[tex]\overline{AD} \cong \overline{DB}[/tex]               Bisector equally divide a line segment into two congruent      

[tex]m\angle CDA =m \angle CBD=90^{\circ}[/tex] Right angles, perpendicular lines.                  

[tex]\overline{CD}\perp \overline{AB}[/tex]                    Perpendicular Line segment      

Answer:

Both expressions equal 5 when substituting 2 for x because both expressions are equivalent

Step-by-step explanation:

Given

[tex]\frac{1}{2}x + 4[/tex] - Expression 1

[tex]x + 6 - \frac{1}{2}x - 2[/tex] -- - Expression 2

Required

Find the result of both expressions when [tex]x = 2[/tex]

Expression 1

[tex]\frac{1}{2}x + 4[/tex]

Substitute [tex]x = 2[/tex]

[tex]\frac{1}{2} * 2 + 4[/tex]

[tex]1 + 4[/tex]

[tex]Result = 5[/tex]

Expression 2

[tex]x + 6 - \frac{1}{2}x - 2[/tex]

Substitute [tex]x = 2[/tex]

[tex]2 + 6 - \frac{1}{2} * 2 - 2[/tex]

[tex]2 + 6 -1 -2[/tex]

[tex]Result = 5[/tex]

Answer:

Putting it short: Both expressions equal 5 when substituting 2 for x because both expressions are equivalent

Step-by-step explanation:

Answer:

The correct options are;

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

4) Double the amount of dogs walked per week but  keep the same rate of $3 per dog

Step-by-step explanation:

The parameters given are;

Jonah is hoping to earn $200 from 8 weeks of dog walking

Therefore, Jonah has to make $200/8 per week or $25 per week

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

With the above strategy, Jonah will make $5 × 5 = $25 per week which will amount to $25 × 8 = $200 in 8 weeks total

2) Walking 5 dogs per week at $4 per dog = $20 per week and 8 × $20 = $160 in 8 weeks

3) Walking 8 dogs per week at $3 per dog = $24 per week and 8×$24 = $192 in 8 weeks

4) Double the amount of dogs walked per week to 5×2 or 10 dogs per week but keep the same rate of $3 per dog would give him 10 × $3 = $30 per week and 8 × $30 = $240 in 8 weeks

5) Double the amount of dogs walked per week to 5×2 or 10 dogs per week and cut his rate to $2 per dog would give him 10 × $2 = $20 per week and 8 × $20 = $160 in 8 weeks

Therefore, the strategies that would allow Jonah to reach his $200 goal in 8 weeks are;

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

4) Double the amount of dogs walked per week but  keep the same rate of $3 per dog.

Answer:

30+37=67

180-67=113

Step-by-step explanation:

its a triangle lol

Answer:

1. Using the jug 6 times and the bucket 3 times

2. Using the bucket 6 times, then using the jug two times

Step-by-step explanation:

Firstly, let’s remember that 1000 ml = 1l

Thus 2L = 2000 ml

And 15L = 15,000 ml

So the situation we are having now is that we want to fill a barrel of 15,000 ml using a jug of 1500 ml and a bucket with a capacity of 2000 ml

Firstly, the first way is using the bucket 6 times and the jug 2 times

What i mean by this is using the bucket 6 times bringing the total volume from the bucket as (6* 2000) = 12,000 ml

Then we are left with 15,000-12,000 = 3,000 ml

Now, she can fill the barrel with 2 times the full volume of the jug making 3,000

Secondly, she can also use the combination of both.

She can use the bucket 6 times and the jug 2 times

The total volume in each case here would be;

For the bucket; (2,000 * 6) = 12,000 ml

while for the jug, we have (1500 * 2) = 3,000 ml

And thus we shall be having a total of 12,000 + 3,000 = 15,000 ml this way

Answer:

∠A ≅ ∠E

Step-by-step explanation:

The AAS (Angle-Angle -Side) congruence theorem implies that triangles ABC and EDC are congruent if both have equal two angles and a non included side.

In the given figures,

<ACB ≅ <ECD (vertical opposite angles)

BC ≅ DC (congruence property)

<ABC ≅ <EDC (alternate angles property)

∠A ≅ ∠E (alternate angle property)

With respect to AAS congruence theorem, ∠A ≅ ∠E is the correct option.

Answer:

C.

Step-by-step explanation:

You are looking for an equation that, when you input 0 for x, you get 4 for y, and when you input -5 for x, you get -1 for y.

That only works for Option C.

Hope this [sorta] helps!

Answer:

C

Step-by-step explanation:

C

Answer:

7.87?

Step-by-step explanation:

Answer:

B. The amount spent on grapes compared with the weight of the purchase.

Step-by-step explanation:

A: The shoe size of a young girl compared with her age in years. For the first few years of a girl's life, her shoe size is relatively the same. When she goes through a growth spurt, her shoe size increases exponentially. So, that is not a constant rate of change.

B: The amount spent on grapes compared with the weight of the purchase. In most grocery stores, grapes are sold based on their weight, like $2.50 per pound. With each increase in 1 pound, the cost increases by $2.50. That is a constant rate of change.

C: The number of people on a city bus compared with the time of day. This value widely changes throughout the day. For example, during rush hour, there will be many people. But during times at, say, 2 to 3 AM, there will not be many people. So, this is not a constant rate of change.

D: The number of slices in a pizza compared with the time it takes to deliver it. The number of slices in a pizza never changes, so it does not depend on the time it takes to deliver. There is no rate of change.

So, B is your answer.

Hope this helps!

Answer:

B

Step-by-step explanation:

i just did it

Answer:

[tex] \frac{97pi}{18} m [/tex]

Step-by-step Explanation:

==>Given:

radius (r) = 10 m

m<VCW = 97°

==>Required:

Length of arc VW

==>Solution:

Formula for length VW is given as 2πr(θ/360)

Using the formula, Arc length = 2πr(θ/360), find the arc length VW in the given circle

Where,

θ = 97°

r = radius of the circle = 10 m

Thus,

Arc length VW = 2*π*10(97/360)

Arc length VW = 20π(97/360)

Arc length VW = π(97/18)

Arc length VW = 97π/18 m

Our answer is,

[tex] \frac{97pi}{18} m [/tex]

Answer:

8 and 25

Step-by-step explanation:

We can set up an equation to help solve this problem.

Let x represent the smaller number

x+(x+17)=33

2x+17=33

2x=16

x=8

The smaller number is 8

Add 17 to 8

The larger number is 25

Answer:

Smaller number:8 larger number:25

Step-by-step explanation:

25-8=17

25+8=33

You can also set up an equation to help things be easier.

Answer:

7.405882353 years

Step-by-step explanation:

Simple interest is

A = P(1+rt)

Where A is the amount in the account

P is the principle invested

r is the rate and

t is the time

6593.75 = 5000( 1+ .0425*t)

Divide each side by 5000

6593.75/5000 = ( 1+ .0425*t)

1.31475 = ( 1+ .0425*t)

Subtract 1 from each side

.31475 = .0425t

Divide each side by.0425

.31475/.0425 = .0425t/.0425

7.405882353 = t

7.405882353 years

Answer:

time =31.029 close to 31

Step-by-step explanation:

A=PRT ( A: amounted investment, p is the investment, R is the rate, T is the time)

rate=%4.25=0.0425

6593.75=5000*0.0425

t=6593.75/(5000*0.0425)

t=31 ( month or weeks the question did not mention the period of time)

Answer:

The height of the building is approximately 18 meters.

Step-by-step explanation:

The question is:

FROM THE HIGH PART OF A WALL OF 8M HEIGHT, YOU CAN SEE THE LOW AND HIGH PART OF A BUILDING WITH ELEVATION AND DEPRESSION ANGLES OF 37° AND 45° RESPECTIVELY. CALCULATE THE HEIGHT OF THE BUILDING A.18 B.14 C.12 D.24 E.16

Solution:

Consider the diagram below.

Consider the triangle ABC.

Compute the value of y as follows:

[tex]tan\ 37^{o}=\frac{AB}{BC}[/tex]

  [tex]0.754=\frac{8}{y}[/tex]

        [tex]y=\frac{8}{0.754}[/tex]

           [tex]=10.61\\\approx 11[/tex]

Thus, the length of side AD is also 11 meters.

Now consider the triangle AED.

Compute the value of x as follows:

[tex]tan\ 45^{o}=\frac{AE}{ED}[/tex]

        [tex]1=\frac{11}{x}[/tex]

        [tex]x=11[/tex]

Then the height of the building is:

[tex]\text{Height of the Building}=x+8[/tex]

                                 [tex]=11+8\\=19[/tex]

From the options provided it can be concluded that the height of the building is approximately 18 meters.

Answer:

105

Step-by-step explanation:

m= minutes

Minutes*15= Whole water

m*15=w

7*15=105

Answer:

6,8

Step-by-step explanation:

Answer:

7.5 years

Step-by-step explanation:

P = $5000,

R = 4.25%,

A = $6593.75,

N =?

SI = A - P = 6593.75 - 5000 =$1593. 75

[tex] \because \: SI = \frac{ PNR}{100} \\ \\ \therefore \: 1593.75 = \frac{5000 \times N \times 4.25}{100} \\ \\ \therefore \: 1593.75 \times 100 = 21,250 \times N \\ \\ N = \frac{159375}{21250} \\ \\ N = 7.5 \: years \: [/tex]

Answer:

a. Domain = All real numbers

Range = y ≥ 2

b. Domain = -4 < x ≤ 4

Range = 0 ≤ y < 4

Answer: x = 13

Step-by-step explanation:

28 - 15 = 13

Answer:

x=13

Step-by-step explanation:

28 - 15 = 13 thus x=13

Answer

y= 12.5x + 210,000

Step-by-step explanation:

This is a linear function because it is increasing constantly by 12.5 percent so it will me written as y=mx+b

The value of function that represents the situation is,

⇒ P = 210,000 (1.125)ⁿ

Where, n is number of years.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The situation is,

⇒ A population of 210,000 increases by 12.5% each year​.

Now, Let number of years = n

Hence, The value of function that represents the situation is,

⇒ P = 210,000 (1 + 12.5%)ⁿ

⇒ P = 210,000 (1 + 0.125)ⁿ

⇒ P = 210,000 (1.125)ⁿ

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Answer:

The probability that the fruits will be selected in the order of banana then apple then orange is 0.1094

Step-by-step explanation:

The given information are;

The number of bananas = 4

The number of apples = 3

The number of oranges = 5

The total number of fruits are 4 + 3 + 5 = 12

The probability of selecting a banana, p(b) = 4/12 = 1/3

The probability of selecting an apple, p(a) = 3/12 = 1/4

The probability of selecting an oranges, p(o) = 5/12

The probability of selecting one banana, then one apple, then one orange, in that order, from the basket with replacement is the product of the individual probabilities found as follows;

p(p(b) then p(a) then p(o)) =

The number o

The probability that the first fruit is a banana = ₁₁C₃×(1/3)^(3)×(2/3)^8 = 0.2384

The probability that the second fruit is an apple = ₁₁C₃×(1/4)^(3)×(3/4)^8 = 0.258

The probability that the third fruit is an apple = ₁₁C₃×(5/12)^(3)×(7/12)^8 = 0.16

The total probability = 0.2384 + 0.285 + 0.16 = 0.657

The number of ways in which the three can be selected = 3 × 2 × 1 = 6 ways

Therefore, the probability that the fruits will be selected in the order of banana then apple then orange = 0.657/6 = 0.1094.

Answer:

four and six one hundredths

406/100

Step-by-step explanation:

Answer:

C. 2mn and mn^2

Step-by-step explanation:

All of the other options are like terms.

Option A: -x+3x=2x

Option B: 4a+7a=11a

Option D. 3p^2q+(-p^2q)=2p^2q

Option C: These terms are not like terms since 2mn is not squared while mn^2 is squared.

Hence,

the correct option would be C.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

The thrid option or 2mn and mn^2

Step-by-step explanation:

Like terms are sets of terms that have the same variables and powers. All these answer choices have the same variables but answer c are not like terms because the second term is raised to the power of 2 and the first is not. Coefficients do not matter for like terms.

There are 4060 different groups of runners.

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

The formula of combination is [tex]^nC_r[/tex] = n!/r!(n - r)!

We have,

Number of runners = 30

Number of runners in the group = 3

The number of different groups of runners.

= [tex]^{30}C_3[/tex]

= 30 x 29 x 28 / 3 x 2

= 5 x 29 x 28

= 4060

Thus,

The number of different groups of runners is 4060.

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Answer:

B.$1080

Step-by-step explanation:

her monthly income = $54,000 / 12 = $4,500

maximum monthly payment for debt services = $4,500 x 36% = $1,620

the closest amount without exceeding this good debt to income ratio rule is $1,080

generally speaking a good debt to income ratio = 36%, in other words, you should not spend more than 36% of your income paying loans. This "rule" is applied by banks along with the 28% rule for household expenses. Banks use the ²⁸/₃₆ rule when classifying clients. So, if you want to pay lower interest rates it is better if you do not spend more than 28% of your income in household expenses and 36% on debt service. The maximum debt to income ratio allowed in order to qualify for a Qualified Mortgage is 43%, but that is really pushing the banks' limits. It also depends on your total income, e.g. a person earning $1,000,000 per year can easily pay 43% in credit services, but it will be very difficult for someone earning $40,000.

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the adults who think that the U.S. government is doing too little to protect the environment presently and the adults who think that the U.S. government is doing too little to protect the environment 10 years ago. The population proportions would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of adults who think that the U.S. government is doing too little to protect the environment presently and the adults who think that the U.S. government is doing too little to protect the environment 10 years ago.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For the present,

x1 = 580

n1 = 1066

p1 = 580/1066 = 0.54

For 10 years ago,

x2 = 514

n2 = 1038

P2 = 514/1038 = 0.5

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (580 + 514)/(1066 + 1038) = 0.52

1 - pc = 1 - 0.52 = 0.48

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.54 - 0.5)/√(0.52)(0.48)(1/1066 + 1/1038) = 0.04/0.02178551744

z = 1.84

Since it is a two tailed test, the curve is symmetrical. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above the test z score in the right tail 1 - 0.967 = 0.033

We would double this area to include the area in the left tail of z = - 1.84 Thus

p = 0.033 × 2 = 0.066

Alpha = 0.1

Since alpha, 0.1 > p value 0.066, we would reject the null hypothesis.

Therefore, at a = 0.10, we can reject the

claim that the proportion of U.S. adults who think that the U.S. government

is doing too little to protect the environment has not changed.

Answer:

Basketball players are generally taller.

Basketball player heights vary slightly more.

Step-by-step explanation:

I hope this helps!

Basketball players are taller because the average (mean) of basketball players is greater than soccer players.

Basketball player heights vary more because the MAD is greater or more than the soccer players.

Basketball players are generally taller. Basketball player heights vary slightly more.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Basketball players are taller because the average (mean) of basketball players is greater than soccer players.

Basketball player heights vary more because the MAD is greater or more than the soccer players.

Therefore, basketball players are generally taller. Basketball player heights vary slightly more.

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Answer:

Measure of angle T = 25 degrees and TU = 12

Step-by-step explanation:

Tamar is measuring the sides and angles of Triangle T U V to determine whether it is congruent to the triangle below. For triangle K L M, side K M is 27 millimeters, side L M is 20 millimeters, and side K L is 12 millimeters. Angle K is 45 degrees, angle M is 25 degrees, angle L is 110 degrees. Which pair of measurements would eliminate the possibility that the triangles are congruent? Measure of angle T = 25 degrees and Measure of angle U = 45 degrees Measure of angle T = 110 degrees and Measure of angle V = 25 degrees Measure of angle T = 25 degrees and TU = 12 Measure of angle T = 110 degrees and UV = 27

Answer:  Two triangles are congruent to each other if they have the same shape and size (i.e the same sides and angles).

The ways used to find congruence are:

1) Angle-side-angle: If two angles and an included side of a triangle is equal to the two angles and corresponding side of another triangle, then they are equal.

2) Side-side-side: If all three sides of a triangle is equal to the three sides of another triangle, then the two triangles are congruent.

3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are equal.

4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are equal.

5) Angle angle side: If two angles and an non included side of a triangle is equal to the two angles and corresponding side of another triangle, then they are equal.

Measure of angle T = 25 degrees and TU = 12 would eliminate the possibility that the triangles are congruent because if T = 25°, then the side opposite angle T (UV) is suppose to be 12

Answer:

the answer is C

Step-by-step explanation:

I got it right on my final exam on edge

Answer:

Perimeter = 22

Step-by-step explanation:

To find the perimeter, we will follow the steps below:

A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1).

First, we will find the distance AB

A = (-1,-1), B = (2,3)

|AB| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = -1    y₁=-1     x₂=2     y₂=3

we can now proceed to insert the values into the formula

|AB| = √(x₂-x₁)²+(y₂-y₁)²

      = √(2+1)²+(3+1)²

      = √(3)²+(4)²

      = √9 + 16

      =√25

      = 5

|AB| = 5

Next, we will find the distance BC

B = (2,3), C = (5,3),

|BC| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = 2    y₁=3    x₂=5     y₂=3

we can now proceed to insert the values into the formula

|BC| = √(x₂-x₁)²+(y₂-y₁)²

      = √(5-2)²+(3-3)²

      = √(3)²+(0)²

      = √9 + 0

      =√9

      = 3

|BC|=3

Next, we will find the distance CD

C = (5,3), D = (8,-1).

|CD| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = 5    y₁=3    x₂=8    y₂=-1

we can now proceed to insert the values into the formula

|CD| = √(x₂-x₁)²+(y₂-y₁)²

      = √(8-5)²+(-1-3)²

      = √(3)²+(-4)²

      = √9 + 16

      =√25

      = 5

|CD|=5

Next, we will find the distance DA

D = (8,-1)      A = (-1,-1)

|DA| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = 8    y₁=-1   x₂=-1    y₂=-1

we can now proceed to insert the values into the formula

|DA| = √(x₂-x₁)²+(y₂-y₁)²

      = √(-1-8)²+(-1+1)²

      = √(-9)²+(0)²

      = √81 + 0

      =√81    

      = 9

|DA|=9

PERIMETER = |AB|+|BC|+|CD|+|DA|

                     =5 + 3+5 +9

                     =22

Perimeter = 22

Answer:

Infinite solutions

Step-by-step explanation:

Both lines have the same slope and y-intercept, therefore they are the same line and intersect at all points, resulting in infinite solutions.