a) For AQRS use the Triangle Proportionality Theorem to solve for x.
b) After you have solved for x, what is the Perimeter of AQRS?

A) For AQRS Use The Triangle Proportionality Theorem To Solve For X.b) After You Have Solved For X, What

Answers

Answer 1

Answer:

a. x = 14

b. Perimeter = 77

Step-by-step explanation:

a. Based on the Triangle Proportionality Theorem:

[tex] \frac{2x - 2}{13} = \frac{21 - 7}{7} [/tex]

[tex] \frac{2x - 2}{13} = \frac{14}{7} [/tex]

[tex] \frac{2x - 2}{13} = 2 [/tex]

Cross multiply

[tex] 2x - 2 = 2(13) [/tex]

[tex] 2x - 2 = 26 [/tex]

Add 2 to both sides

[tex] 2x = 26 + 2 [/tex]

[tex] 2x = 28 [/tex]

Divide both sides by 2

x = 14

b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7

Plug in the value of x

= (2(14) - 2) + 13 + 17 + 14 + 7

= 26 + 13 + 17 + 14 + 7

= 77


Related Questions

Find the measure of one interior angle in each regular polygon.

Answers

Answer:

108°

Step-by-step explanation:

Polygon has n sides.

Each interior angle = 180° - (360/n)°

n = 5 ⇒ interior angle = 180° - (360/5)° = 108°

The table represents a linear function.
What is the slope of the function?
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-2
-1
0
1
2
у
8
2
-4
-10
-16
04
O 6
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Submit

Answers

The ratio of the change in the y and x values, in the table gives the slope

graph of the linear function.

Correct response:

The slope of the linear function is -6

Method used for finding the slope

From the given table, we have;

The first difference of the y-values = 2 - 8 = -6 = Constant

The rate of change of the x-values = 1 = Constant

Therefore;

The function is a linear function;

The slope, m, is given by the formula;

[tex]Slope, \ m = \mathbf{ \dfrac{y_2 - y_1}{x_2 - x_1}}[/tex]

Taking a pair of points as follows;

(0, -4) = (x₁, y₁)

(2, -16) = (x₂, y₂)

We have;

[tex]m = \dfrac{-16 - (-4)}{2 - 0} = \dfrac{-16 + 4}{2} = \dfrac{-12}{2} = \mathbf{ -6}[/tex]

The slope of the linear function, m = -6

Learn more about linear functions here:

https://brainly.com/question/14322770

on a map 5 inches repents. 100 miles. how many inches would. there be between. two cites that are 2,500 miles apart​

Answers

Answer:

500 miles

Step-by-step explanation:

2,500 divided by 5 = 500

2. Write an addition problem with
integers to solve this problem.
Sue took good care of her
meat-eating plant. It grew
from a seed to a six-inches tall
plant in three weeks. Then she
forgot to water it. The plant
lost two inches in height.
How tall was the plant then?
1081
Someone
has
shrunk
8C

Answers

Answer:

i would if you put me brainilest

Step-by-step explanation:

5x- 2y = 30
Complete the missing value in the solution to the equation.
(8,____)

Answers

Answer:

The missing value is 5.

Step-by-step explanation:

Since we already have x-value for the equation. What we need to do is to substitute the value of x in the equation.

Substitution

[tex]5x - 2y = 30[/tex]

Then we substitute x = 8 in the equation.

[tex]5(8) - 2y = 30 \\ 40 - 2y = 30 \\ 40 - 30 = 2y \\ 10 = 2y \\ \frac{10}{2} = y \\ 5 = y[/tex]

Answer Check

It is better to check the answer before jumping to the conclusion. We can check if the answer is right by substituting both terms in the equation. If the equation is true then the answer is correct. If the equation is false then one of the term is incorrect.

[tex]5x - 2y = 30[/tex]

Substitute x = 8 and y = 5 in the equation.

[tex]5(8) - 2(5) = 30 \\ 40 - 10 = 30 \\ 30 = 30[/tex]

The equation is true for (8,5)

Therefore, the missing value is 5.

Write the exponent for the expression.
1.9^3

Answers

Answer:

3

Step-by-step explanation:

The exponent is 3 because of the ^

Answer:

3  

Step-by-step explanation:

E Premium gasoline costs $4.33 per gallon. Noni's car holds 11.6 gallons of gas. What is the estimated cost of filling the tank of Noni's car? $12 $48 $55 $60​

Answers

48 dollars cause I got 50.22

Answer:

48

Step-by-step explanation:

Factor 7x3y4−7x2y5 completely.

A) 7xy(x^2y^3−xy^4)
B) 7x^2y^4(x−y)
C) 7(x^3y^4−x^2y^5)
D) x^2y^4(7x−7y)

Answers

Answer:

B

Step-by-step explanation:

when we factor completely, we take a look at what is the biggest common factor of 7x³y⁴ and 7x²y⁵. In this case it is 7x²y⁴.

7x³y⁴-7x²y⁵ = 7x²y⁴(x-y) which is B.

GUYS PLS HELP 25 POINTS PLUS BRAINLIEST IF CORRECT

Answers

Answer:

I looked it up and it says in a hierarchy based on similarities and physical traits as well as binomial nomenclature but you don't have that answer and it also says it describes the linnean taxonomy

Step-by-step explanation: but I think it's animals and species

sorry but hope this helps

He had to wait 1 hour and 45 minutes at the airport in San Francisco. Then Frank
father had to wait another 35 minutes while the plane was in Portland.
How long did Frank's father spend waiting?

Answers

Answer:

Step-by-step explanation:

The larger of two numbers is 10 less than twice the smaller number. If the sum of the two
numbers is 38, find the two numbers.

Answers

Answer:

Let the larger number = y and the smaller number = x.

The largest number is 10 less than twice the smaller number. Remember that less than means subtract the 10 from the other amount while twice means multiply by two. Therefore,

y = 2x - 10

The sum of the two numbers is 38. Remember sum means add the two numbers to get their result. Therefore,

x + y = 38

Since y = 2x - 10, we rewrite the lower equation as:

x + (2x - 10) = 38

Solving:

3x - 10 = 38

3x = 48

x = 16

The lesser number is 16 and the greater number is 2(16) - 10 or 22.

How do I solve 300x300=

Answers

Answer:

its 90,000

Step-by-step explanation:

just put the zeros together then multiply 3x3

What percent of 54 is 28?
F) 192%

G) 19%

H) 0.52%

Answers

Answer:

Step-by-step explanation:

H

plz help i will do anything plz

Answers

Answer:whole sheet?

Step-by-step explanation:

The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable that is uniformly distributed) between 26 and 63 minutes. One student is selected at random. Find the probability of the following events.

A. The student requires more than 58 minutes to complete the quiz.
Probability =
B. The student completes the quiz in a time between 32 and 36 minutes.
Probability =
C. The student completes the quiz in exactly 40.85 minutes.
Probability =

Answers

Answer:

A.  This is possible but less likely

B.  This is very possible

C.  This is highly unlikely

B. is the most possible   A. is the second most possible   C. is least possible

Hope this helps <33

Classifg each angle as acute , right , obtuse , or straight

1) 10°

2) 98°

3) 180°

4) 90°

Answers

Answer:

1) acute

2) obtuse

3) straight

4) right

Step-by-step explanation:

acute angle=less than 90

right angle=90 exactly

obtuse=greater than 90

straight=exactly 180

hope this helps

ML is equal to 342 L 645 ML

Answers

Answer:

1 L = 1000 ml

Step-by-step explanation:

342L = 342 ml

645 ml = 645 ml

The given quantity 342 l 645 ml can be written as 342645 ml.

Given that, 342 l 645 ml.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, 1 l = 1000 ml

Now, 342 l = 342000 ml

So, 342 l 645 ml = 342000+645 = 342645 ml

Therefore, the given quantity 342 l 645 ml can be written as 342645 ml.

To learn more about the metric conversion visit:

https://brainly.com/question/10943201.

#SPJ2

Find the distance between the points (4,-8) and (7-10).

Answers

Answer:

[tex]\displaystyle d = \sqrt{13}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, -8)

Point (7, -10)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [DF]:                     [tex]\displaystyle d = \sqrt{(7-4)^2+(-10+8)^2}[/tex](Parenthesis) Subtract/Add:                [tex]\displaystyle d = \sqrt{(3)^2+(-2)^2}[/tex][√Radical] Exponents:                         [tex]\displaystyle d = \sqrt{9+4}[/tex][√Radical] Add:                                    [tex]\displaystyle d = \sqrt{13}[/tex]

Answer:

The distance between the points (4,-8) and (7-10)

[tex] = \sqrt{ {(7 - 4)}^{2} + {( - 10 - ( - 8))}^{2} } \\ = \sqrt{ {(7 - 4)}^{2} + {( - 10 + 8)}^{2} } \\ = \sqrt{ {3}^{2} + { (- 2)}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: units [/tex]

√13 is the right answer.

Quick IM timed!!
A researcher is comparing three new formulas for grass killer. To conduct the experiment, the researcher purchases 30 pieces of sod from various vendors to use in the study. The 30 pieces of sod are laid out in three different areas. The researcher places three slips of paper in a bowl labeled formula 1, formula 2, and formula 3 and randomly picks a piece of paper to apply that formula to the sod in the first area. Then the researcher picks again and applies that formula to the second area. Finally, the last formula is used on the last area.

Which component is missing from the researcher’s process?

A The researcher should not have laid out the pieces of sod in different areas.
B The researcher did not randomly assign the pieces of sod to the treatment groups.
C The researcher did not randomly pick the vendors when purchasing the pieces of sod.
D The researcher did not use randomization when selecting the pieces of sod from the vendors.

Answers

Answer:

The researcher did not randomly assign the pieces of sod to the treatment groups.

Step-by-step explanation:

Edge 2020/2021

Answer:

The researcher did not assign the chosen pieces of sod to treatment groups.

Step-by-step explanation:

The researcher needs to create three treatment groups, each containing 10 pieces of sod, and assign the chosen pieces of sod to these groups. Without this step, it is not clear how the three formulas will be applied to the pieces of sod.

Which equation represents the linear function that is shown on the graph below?
10.14
9
8
00
7 6 5
4 +
3
2
1
1 2 3 4 5 6 7 8 9
Х

Answers

Answer:

[tex]y = \frac{1}{2}x - 2[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the linear equation

First, we need to calculate the slope

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph, the following relationships exist:

[tex](x_1,y_1) = (4,0)[/tex]

[tex](x_2,y_2) = (10,3)[/tex]

So, the expression for calculating slope becomes:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{3-0}{10-4}[/tex]

[tex]m = \frac{3}{6}[/tex]

[tex]m = \frac{1}{2}[/tex]

Next, we calculate the equation using:

[tex]y - y_2 = m(x - x_2)[/tex]

This gives:

[tex]y - 3 = \frac{1}{2}(x - 10)[/tex]

Open bracket

[tex]y - 3 = \frac{1}{2}x - 5[/tex]

Make y the subject:

[tex]y = \frac{1}{2}x - 5+3[/tex]

[tex]y = \frac{1}{2}x - 2[/tex]

Please helpppp me pleaseee

Answers

The answer is square

help i need help with this im being timed‍‍

Answers

1.greater then or equal to =
2. >
3. <

(4x+3)(3x)-25 graph

Answers

Answer:

12x^2+9x^2-25    (quadratic equation)

a=12, b=9, c=-25

put this in quadratic formula

Step-by-step explanation:

Answer:

Plz brainliest

Step-by-step explanation:

please help me please please

Answers

Answer:

I am pretty sure the answer is A

Step-by-step explanation:

Answer:

I think but l sure answer is A

Kim uses decals to decorate 5 cars and 2 motorbikes. She uses 2/3 of the decals on the cars and 2/5 of the remaining on the motorbikes. She has 6 decals left. How many decals does Kim use on each car?​

Answers

Answer:

I decal per car and motor bike

Step-by-step explanation:

Helppppp!! Pleaseeeee

Answers

you need to subtract your interest paid by your principal paid. which would be $352.15 so the answer is A.

If there are 44 successful outcomes in a sample with a size of 80, what is the
sample proportion?
O A. 0.55
OB. 0.45
O C. 0.36
OD. 0.44

Answers

Answer:

The sample proportion is 0.55

Step-by-step explanation:

Given that:

Successful outcomes = 44

Size of sample = 80

We will divide the number of successful outcomes by size of sample to find the sample proportion.

Sample proportion = [tex]\frac{Successful\ outcomes}{Size\ of\ sample}[/tex]

Sample proportion = [tex]\frac{44}{80}\\[/tex]

Sample proportion = 0.55

Hence,

The sample proportion is 0.55

Answer:

0.55

Step-by-step explanation:

really need the answer to​ this thanks !

Answers

Answer: 2662.25 (now u just need to round it to the whole)

Step-by-step explanation: Ok we know that it can last 5750 years, and we know 53.7 percent of those years is gone, meaning it only got 46.3 percent of it years left. until it gone. So 46.3 percent of 5750 is 2662.25. Now go round it if u need to.

If a truck weighs 1200 kg and is traveling at 30 m/s, how much kinetic energy does it have?

Answers

KE = 540,000 or J = 540 kJ

Can someone help me find the x?

Answers

Answer: 8

Step-by-step explanation:

By the angle bisector theorem,

[tex]\frac{12}{18}=\frac{x}{12}\\\\\frac{2}{3}=\frac{x}{12}\\ \\ x=\boxed{8}[/tex]

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