Ask question

Ask question

All categories

4 years ago

7

2. The figures in each pair are similar. Find the value of each variable. Show your work.

2 answers:

Gelneren [198K]4 years ago

8 0

Line up the shapes.
a. 2/8 = x/16

b. 12/4 = 18/x = y/8

c. 6/4=8/y=7/x

a. Cross multiply. 8x = 2*16
8x = 32
divide both sides by 8
x = 4

b. 12/4 = 18/x
cross multiply
12x = 18*4
12x = 72
divide both sides by 12
x = 6

12/4 = y/8
cross multiply
4y = 12*8
4y = 96
divide both sides by 4
y = 24

c. 6/4 = 8/y
cross multiply
6y = 8*4
6y = 32
divide both sides by 6
y = 32/6 = 16/3

6/4 = 7/x
cross multiply
6x = 7*4
6x = 28
divide both sides by 6
x = 14/3

Olegator [25]4 years ago

4 0

I hope this helps you option C Y = 16/3

You might be interested in

Is 33,44,55 a right triangle?

Paul [167]

Answer:

Yes!

Step-by-step explanation:

We know that right triangles follow the Pythagorean Theorem, where

$a^{2} + b^{2} = c^{2}$

So we will put our side lengths into this formula, keeping in mind that c = the hypotenuse, which is the longest side. a and b are fairly arbitrary.

$33^{2} + 44^{2} = 55^{2}$

If this works, we know it's a right triangle.

1089 + 1936 = 3025

3025 = 3025

It worked! It's a right triangle!!

6 0

3 years ago

Read 2 more answers

(u^4)^4 write without parenthesis

icang [17]

U^16 is the answer to this problem

5 0

3 years ago

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

8 0

3 years ago

What is the square root of 16

ser-zykov [4K]

Answer:

4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

PLEASE HELP!! I WILL GIVE BRAINLIEST AND POINTS!!

Bingel [31]

Answer:

Rewrite in vertex form and use this form to find the vertex

Rewrite in vertex form and use this form to find the vertex

(h,k).(−3,9)

Step-by-step explanation:

3 0

3 years ago