8. If APTS – APQR, find the value of x.
5x + 13
T
36
Q
P
30
6x-2
-
S
R

8. If APTS APQR, Find The Value Of X.5x + 13T36QP306x-2-SR

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

you can create a proportion:

PT / ST =  PQ / RQ

36 / 30 = (5x+13) / (6x-2)

cross-multiply:

36(6x-2) = 30(5x+13)

distribute:

216x - 72 = 150x + 390

216x = 150x + 462

66x = 462

x = 7

Answer 2

The value of x for the given triangle sides is x = 7.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.

Given that the side PQ = 5x + 13 and the QR is 6x- 2. The value of x will be calculated by the concept of similarity.

PT / ST =  PQ / RQ

36 / 30 = (5x+13) / (6x-2)

Cross-multiply the equations,

36(6x-2) = 30(5x+13)

Distribute:

216x - 72 = 150x + 390

216x = 150x + 462

66x = 462

x = 7

To know more about geometry follow

https://brainly.com/question/28832881

#SPJ2


Related Questions

There are fewer than 30 students in the A-level mathematics class. One half of them
play the piano, one quarter play hockey and one seventh are in the school play.
How many of the students play hockey?

Answers

The number of students that play hockey is 7

The proportion is given as:

[tex]Piano =\frac 12[/tex]

[tex]Hockey =\frac 14[/tex]

[tex]School\ Play =\frac 17[/tex]

The total number of students must be a multiple of 2, 4 and 7 less than 30;

The only multiple of 2, 4 and 7 less than 30 is 28.

The number of students that play hockey is the product of 28 and the proportion that plays hockey.

So, we have:

[tex]Hockey =\frac 14 \times 28\\[/tex]

Multiply

[tex]Hockey =7[/tex]

Hence, 7 students play hockey

Read more about common multiples at:

https://brainly.com/question/290451

Find the slope of the line through each pair of points. (5, −5) (0, −1)

Answers

Answer:

slope = - [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (5, - 5 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-(-5)}{0-5}[/tex] = [tex]\frac{-1+5}{-5}[/tex] = [tex]\frac{4}{-5}[/tex] = - [tex]\frac{4}{5}[/tex]

If there are 18 boys and 54 gurls in a room,fill out a of the possible ratios of boys to girls that could be made

Answers

Answer:

2:6 and 1:3.

Step-by-step explanation:

18 divided by 9 = 2

54 divided by 9 = 6

18 divided by 18 = 1

54 divided by 18 = 3.

Hope that helps. x

Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .

Step - by - step explanation :

18:54 divided by 6/6 = 3:9

3:9 divided by 3/3 = 1:3 <-- simplest form :D

Pls solve this with solution​

Answers

Okay so for these problems it’s best to break up the problem and solve it step by step. First, 10 to the 5th power(the little 5) is the same as 10x10x10x10x10=100,000. So, 10 to the second power(little 2 on top) is equal to 10x10=100. Then after you find your answer there the problem becomes easier and all that’s left is to multiply and add. Next multiply 6x100,000=600,000 and 6x100=600. Finally we add them, 600,000 + 600= 600,600. 600,060 does not equal 600,600 so the equation is false.

What is the property to be used in each equation to solve for x? APE, SPE, MPE or DPE? (Property of Equality)


x+47=28


20=x-11


3.9x=27.3


5/7=-5/7 x


-x=27


32-x=27

Answers

Answer:

S, A, D, D, M

Step-by-step explanation:

Always do the opposite of what is happening in the equation.

x + 47 = 28, is adding, so you would use subtraction to solve for x.

I need help please it’s for school

Answers

From Sweatcoin, London to the residence of Santa Claus is about 4,280 km away.

Where is the Santa Clause's residence?

The residence of Santa Clause is popularly known as the North Pole.

According to the above, we have to roughly calculate the distance from Sweatcoin in London to the North Pole. This distance is equivalent to about 4,280 km

Learn more about London in: https://brainly.com/question/7416097

What is the distance from 5,1 and 2,1

Answers

Use this rule it will help

Answer:

2.0

Step-by-step explanation:

This question has 3 parts: subject (distance), and numbers (5.1 and 3.1).

Distance means subtraction. Between means to 5.1 and 3.1 .

So 5.1 - 3.1 = 2.0

1. Classify the following polynomials as monomial, binomial trinomial and polynomial.
i) 7ab – 5a

Answers

Answer:

it's binomial...............................

It is binomial hope this helps

The function f is defined below.
f(x)=−2x−3
Find f(1).

Answers

Answer:

[tex]f(1)=-5[/tex]

Step-by-step explanation:

[tex]f(1)=-2(1)-3\\\\f(1)=-2-3\\\\f(1)=-5[/tex]

f(1) means to substitute x with 1 or that x=1. So since x=1  you will substitute it in where x is and then solve like a regular equation which will give you -5.

please please look at the picture and see if you can help!!!! i’m struggling so badly!

Answers

Can u take another one it’s blurry

4. Find the solution for each equation:
x + 4 = 16

Answers

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

when solving and equation with a variable, you must work backwards and do the opposite of the equation

sooo… you must subtract 4 (opposite of +4 is -4)

[tex]16-4=2[/tex]

x=12

Answer:

12 easy

Step-by-step explanation:

4 +12 =16 it's easy

A square with side length s has perimeter 4s. Nellie painted on a square canvas that is 10.5
inches on each side.
What is the perimeter of the picture?
Write your answer as a whole number or decimal.

Answers

Answer:

42inches

Step-by-step explanation:

Perimeter = 4s

where s is length of each side

when s is 10.5

Perimeter = 4 × 10.5

= 42

the two triangles below are similar.

Answers

Answer:

Step-by-step explanation:

yes they are just a rotated triangle

Mrs. Jenson's science quiz has 4 questions. Each question has answer choices "A," "B," "C," and "D." How many combinations of 4 answers are possible for the 4-question science quiz? Possible answers 16 , 24, 64, and 256.​

Answers

Answer:

14

Step-by-step explanation:

For every question, there should be 1 answer.

There are 4 answers for the 4 questions

4 times 4 = 16

How do I find the percentage of two column data table?

Answers

A) 47.70%
B) 52.30%
hope this is helpful!

is the expression x³·x³·x³ equivalent to x³·³·³? why or why not? explain your reasoning

Answers

Answer:

Definitely not equivalent.

Exponent rules state that whenever you multiply terms with the same power, you add the powers together and multiply the coefficients.

x^3*3*3 is equivalent to something like ((x^3)^3)^3 or x^27

x^3 * x^3 * x^3 would be x^3+3+3 or x^9

What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2

Answers

The most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

The given expression is:

[tex](5y)^2(16y^4)^{\frac{1}{2}[/tex]

Expand the expression using the laws of indices

[tex]5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\[/tex]

[tex]25y^2 \times 4y^2[/tex]

Multiply like terms

[tex](25 \times 4)y^{2+2}[/tex]

The resulting expression is:

[tex]100y^4[/tex]

Therefore, the most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

Learn more on indices here: https://brainly.com/question/10339517

3x - 1 = 5 help me plz

Answers

Answer:

x = 2

Step-by-step explanation:

3x - 1 = 5

First, add 1 onto both sides. (When doing these type of questions you must do the inverse!)

3x = 6

Divide by 3 on both sides to get x.

x = 2

Hope this helps and I hope you have a good day!

Answer: 2

Step-by-step explanation: move constant to the right, calculate, divide both sides


[tex] \huge{꧁\: \large \frak{ \huge question } \: \huge꧂}[/tex]


what's the Answer ?

[tex]5 - 5 \div 5[/tex]

Answers

Answer:

[tex]5 \div 5 = 1[/tex]

[tex]5 - 1 = 4[/tex]

Hence , 4 is the answer !!

Answer:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

5/5 =1

5-1 = 4

*4 is the ANSWER

(Have a Great Day)

please help what is 4.651-50.3

Answers

Answer: 2604-150=2454

Help me plz I would really appreciate it!

Answers

Given,[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Write an equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.

Answers

Answer:

send the graph and ill solve it

Step-by-step explanation:

i have questions up will mark brainliest

Answers

Answer:

what questions?

Step-by-step explanation:

the size of the angles of a quadrilateral are in the ratio 1:2:3:3. calculate the size of each angle???​

Answers

The size of the angles of a quadrilateral are in the ratio 1:2:3:3. Calculate the size of each angle. Explanation. Verified. Step 1. 1 of 2.


A 20-foot piece of metal is cut INTO pieces that each measure 1 1/4 feet. How many pieces are there after the cut?

A. 16
B. 25
C. 18.75
D. 5

Answers

Answer:

I believe the answer is 16    Don't get mad if incorrect just trying my best

Answer:

A. 16

Step-by-step explanation:

If a 20 ft piece of metal is cut in 1 1/4 feet pieces you would divide the total length (20) by each of the pieces length (1 1/4) to find the answer. 20 ÷ 1 1/4 = 16.

tyson is 6 feet 2 inches tall. there are 2.54cm in 1 inch. what is tysons height in centimeters?

Answers

Answer: Tyson is 188 centimetres tall.

amplitude of y=-2sin(3x)+6

Answers

Answer:

amplitude = 2

Step-by-step explanation:

Given sine in standard form

y = asinbx + c

amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex] , c is the vertical shift

Given

y = - 2sin(3x) + 6

amplitude = | - 2 | = 2

Solve the equation below and explain how you solved it

x- 5 (x-1) = x- (2x-3)

(No bots or u will be reported)

Answers

Answer:

x = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides

x - 5x + 5 = x - 2x + 3

- 4x + 5 = - x + 3 ( add x to both sides )

- 3x + 5 = 3 ( subtract 5 from both sides )

- 3x = - 2 ( divide both sides by - 3 )

x = [tex]\frac{2}{3}[/tex]

17) The growth of a certain bacteria colony is modeled by the function y = 100(1.20)*. Which statements are
correct?
A)
B)
100 is the initial number of bacteria.
x is the growth factor.
This is an exponential function.
1.20 is the number of time intervals.
D)
E)
y equals the final number of bacteria.
C)

Answers

Answer:

the corect answers is d and c

Step-by-step explanation:

Answer: B D E

Step-by-step explanation: I got it right on usetestprep

13. This body system regulates body activities using homones. Slow response, tong lasting
A. Respiratory
C. Skeletal
B. Muscular
D. Endocrine

Answers

Answer:

hi

Step-by-step explanation:

Two forces X = 50N and Y = 60 N are acting on a wooden block and it moves to the left as

shown below in figure.

The force which causes motion is ?

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