the triangles below are similar.

The Triangles Below Are Similar.

Answers

Answer 1

Answer: 54

Step-by-step explanation:

Since the triangles are similar, the sides form s equalivent proportion. The hypotunse of the bigger triangle and the smaller triangles correspond with each other and the base of the smaller and larger triangle correspond so we use this proportion: hypo. of big triangle/ base of larger triangle= hypo of smaller triangle/ base of smaller triangle.

Let substitue: 52.5/x= 5/4: ( I  Reduce 15/12 into 5/4).Cross multiply:    210=5x: Divide by 5 both sides. x=42. Then add the 42 and and the 12 to find the whole distance which is 54.


Related Questions

What is the value of the square root of 2 to the third decimal place?

Answers

Answer:

1.414

Step-by-step explanation:

In how many different ways can you answer a multiple cholce test that has 5 questions and 3 choices for each answer?
a) 243
b) 125
c) 15

Answers

Answer:

243

Step-by-step explanation:

3*3*3*3*3

I need help with this.​

Answers

Answer:

D=4

C=12.56

Step-by-step explanation:

D=2r

d=2×2

D=4

C=pi ×D

C=3.14×4

C=12.56

A 270 inch board is cut into two pieces one piece is 4 times the length of the other, find the length of the shorter piece

Answers

Answer:

54 inches

Step-by-step explanation:

let 4x = the bigger piece

let x = the smaller one

4x + x = 270

5x = 270

x = 54

Answer:

54 inches

Step-by-step explanation:

x + 4x = 270

5x = 270

x = 54 (shorter piece)

4x = 216 (longer piece)

f(x) = 5x – 10 and g(x) = x – 16. Which of the following represents h(x) = f(x) + g(x)? h(x) = 6x – 16 h(x) = 6x – 26 h(x) = x – 26 h(x) = x – 16

Answers

Answer:

h(x)=6x-26

Step-by-step explanation:

f(x)=5x-10

g(x)=x-16

h(x)=f(x)+g(x)=(5x-10)+(x-16) = 6x-26

Need help solving!!!!​

Answers

It is 3 cause they are all the same leatheth so 3

Answer:

no its 2

Step-by-step explanation:

because 21+3=7. and 14+7=2. so it's 2

Literally have been at this for 20 minutes PLEASE HELP!!!!

Answers

Step-by-step explanation:

first: if we add 3x+7 and 4x+5, it will total a 180 degree angle. This will allow us to solve for x.

3x+7+4x+5=180

7x+12=180

7x=180-12

7x=168

x=24

now we can also see that angle 6 is the same as the angle 3x+7.  and Since we know x=24, we can solve for those angles.

3(24)+7:

72+7=79

So :

<6 =79°

How many 1/2s are in 6?

Answers

12

How many .5 can fit into 6

You must divide 6 by .5 to find the answer

Due in 3 minutes Need help ASAP

Will mark you brainlist

Answers

Answer:

I think it's 10 gallons less than Evan

Graph? Which is linear

Answers

Answer:

Below

Step-by-step explanation:

1. Linear because it is of the form y = mx + b. The variable x  is of the first degree.

The coefficient of x (1/3)  ( = slope) is positive so it is increasing.

2. This is non-linear because the variable x is an exponent.

3. Because  its of the second degree (x^2) - it is non-linear.

Arthur has been challenged to donate $50,000. He decides to donate exactly 50% of the money every day until less than $1 remains. Write a function that would represent this situation.

Answers

Answer:(-1/2^x)(50000)

Step-by-step explanation:

Two hundred people responded to a survey. Of those who had green eyes, 7 had blonde hair, 9 had brown hair, and 2 had red hair. Construct a two-day table to display these data. Then identify the least common combination of eye and hair color. Explain.

Answers

Answer:

18

Step-by-step explanation:

Help asap plsplspls !!

Answers

Answer:1/4

Step-by-step explanation:

2/8 = 1/4

2/8 over 2 is 1/4

Answer is 1/4 pretty sure

my friend needs help with this can someone help

Answers

Answer:Sorry

Step-by-step explanation:

Hi would help but i dont know and im not in collage sorry.

Promise Easy Points
Calculate the average monthly expenses for these individuals?

Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____

Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____

Answers

$420+$350+$432=kelsey's monthly expenses  

$700+$800=Micheal's Monthly expenses

Michael's average monthly expenses are $750.

What is the average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, Kelsey spent $350 in May, $432 in June and $420 in July.

Now, average monthly expenses are

(350+432+420)/3

= 1202/3

= 400.67

Michael spent $700 in April and May and $800 in June and July.

Here, (700×2+800×2)/4

= (1400+1600)/4

= 3000/4

= $750

Therefore, Michael's average monthly expenses are $750.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ2

Pls help out need answers quick

Answers

Answer: answer is 8 because -5 + 1 = -4 then + 10 = 4

Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

Solve the equation

-3x - 5 =16

What does x =??

Answers

Answer:

x=-7

Step-by-step explanation:

[tex]x = 21 \div - 3 \\ x = - 7[/tex]

Answer: -7

Step-by-step explanation:

Move all terms that don't contain

x

x

to the right side and solve

Solve for X. what are the measures of the two smaller angles? show your work

will mark brainiest for work​

Answers

Answer:

x=10

Step-by-step explanation:

right angle is always 90

we can add 4+6=10

90-10=80

3*x+5*x=8*x

8*x=80

divide both sides by eight

x=10

PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION

Answers

I dont have my calculator with me but first find the square root of 6 and it will give u a decimal number and then just plot it

Answer:

√6: 2.44

Step-by-step explanation:

first one since it's closer to the square root of 6

The area of triangle ABC is 4 root 2. Work out the value of x

Answers

Answer:

x ≈ 2.4

Step-by-step explanation:

Area of the triangle = 1/2 absin theta

Find the diagram of the triangle attached

a = 2x-3

b =x+2

theta = 45°

Substitute and find x

4√2 = 1/2(2x-3)(x+2)sin45

8/√2 = (2x-3)(x+2)(1/√2)

8 = (2x-3)(x+2)

Expand

8 = 2x²+4x-3x-6

2x²+x-6-8=0

2x²+x-14 = 0

x = -1±√1²-4(14)(2)/2(2)

x = -1±√1+112/4

x = -1±√113/4

x = -1+10.63/4

x = 9.63/4

x = 2.4

The value of x is 3.075.

Given that,

The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,

and [tex]\theta[/tex] is 45 degrees.

The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).

We have to determine

The value of x.

According to the question

The area of the triangle is determined by the following formula,

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]

Substitute all the values in the formula

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]

[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]

The value of x can not be negative so the value of x is 3.075.

Hence, The required value of x is 3.075.

For more details refer to the link given below.

https://brainly.com/question/15894203

Help please______________________________

Answers

Answer:

By rounding each number to the nearst whole number, estimate the solution:

2.7²X4.3=31.347

8.8-5.15=3.65

for this 31 and 4 if you want to round

Step-by-step explanation:

Answer:

?????????

Step-by-step explanation:

Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.​

Answers

Given:

The graph of a function.

To find:

The range of the function.

Solution:

Range is the set of y-values or output values.

From the given graph it is clear that,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]

And the value function can be any real number. So,

Range = [tex]-\infty<y<\infty[/tex]

Range = [tex](-\infty, \infty)[/tex]

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer:

D. y is all real numbers.​

Step-by-step explanation:

Range is the set of y-values or output values.

From the given graph it is clear that,

And the value function can be any real number. So,

Range =

Range =

Range = y is all real numbers.​

Therefore, the correct option is D.

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. 3, 5

Answers

square both numbers and equal them to c squared and then add up the numbers and find the square root. it would be 5.8

Step-by-step explanation:

use the pythagorean theorem to find the length of the leg in the triangle below

Bob built birdhouses to sell at the craft fair for $8.00 each. He had to spend $40 for materials . Which inequality represents the number of bird houses he must sell to make more than $ 200?

Answers

Answer:

8x - 40 > 200

Step-by-step explanation:

Hey! Please explain your answer!

Answers

Answer:

The inside of the pentagon and the angle outside the pentagon can add up the the angle of 180 degrees.

Step-by-step explanation:

Answer:

72°

Step-by-step explanation:

Exterior angles of any polygon sum to 360°

We have:

5b = 360°b = 360°/5b = 72°

87,900

3. Salome is 2 feet 5 inches tall. How many inches tall is Salome? *

5 points

31

29

24

There are 13 students in one line and 21 students in the other line. If the 5 points

Salome is 2 feet 5 inches tall. How many inches tall is Salome?

Answers

Answer:

Salome is 29 inches tall.

Step-by-step explanation:

Each feet has 12 inches.

Salome:

Salome is 2 feet 5 inches tall.

Since each has 12 inches, 2 feet = 2*12 = 24 inches

24 + 5 = 29 inches.

So Salome is 29 inches tall.

find the height of the cylinder if the volume is 340, and the length is 3

Answers

Answer:

113

Step-by-step explanation:

divide the volume with the length

Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?


Group of answer choices


4/8


0


6/8


6/16

Answers

Answer:
4/8



Good luck

which expression is equivalent to (3c)-2?

Answers

Answer:

Assuming that the notation there is meant as:

[tex](3c)^{-2}[/tex]

then the answer would be 1/(9c²)

If the -2 is indeed just subtraction and not an exponent, then it is simply 3c - 2

The expression equivalent to 1/9c².

What is expression?

An expression is a set of terms combined using the operations +, – , x or for example 4 x − 3 or x 2 – x y + 17 .

An equation states that two expressions are equal in value,

for example 4 b − 2 = 6 .

Given:

[tex](3c)^{-2}[/tex]

To make the power positive, just do the reciprocal

=1/ (3c)²

=1/9c²

Hence, the expression

[tex](3c)^{-2}[/tex] is equivalent to 1/9c².

Learn more about expression here:

https://brainly.com/question/11742947

#SPJ2

PLZ HELP!! WILL AWARD BRAINLIEST!!
Graph the following equations.
y = 2x + 1

Answers

Answer:

The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one

Step-by-step explanation:

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