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3 years ago

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

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

Answer:

A. x = 4; B. x = 6; y = 24

Step-by-step explanation:

The corresponding sides of similar figures are proportional to each other.

A. Rectangles

x/2 =16/8 Multiply each side by 2

x = 2 × 16/8

x =4

B. Triangles

x/18 = 4/12 Multiply each side by 12

x = 18 × 4/12

x = 6

y/8 = 12/4 Multiply each side by 8

y = 8 × 12/4

y = 24

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Pls help (kinda easy)

3241004551 [841]

Answer:

$f(x)=(2x+1)(2x-1)$ .

Step-by-step explanation:

We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form $(ax+b)(cx+d)$ because then we can find the x-intercept in the following manner:

$(ax+b)(cx+d)=0$

$x=-b/a$

$x=-d/c$

We factor our function $f(x)=4x^2-1$ and get

$\boxed{f(x)=(2x+1)(2x-1)}$

Now this form let's us easily find the x-intercepts:

$x=-1/2$

$x=1/2$

and so we pick the second choice: f(x)=(2x+1)(2x-1).

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3 years ago

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Each pail of plaster covers 90 square feet of ceiling. What is the least number of plaster you would need to buy to cover the ce

denpristay [2]

You would need 3 pails of plaster, specifically about 2 pails and a fifth of another but you cant buy a fraction of a pail, so 3 pails are needed.

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3 years ago

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is

qwelly [4]

Answer:

Step-by-step explanation:

Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.

Consider the attached diagram

AB=BC=x

However to be able to solve for x, we form a right triangle with endpoints A and C.

Since the hypotenuse is always the longest side in a right triangle

Hypotenuse, AC=30 Inches

Using Pythagoras Theorem

$30^2=x^2+x^2\\900=2x^2\\x^2=450\\x=\sqrt{450}\\x=21.21$ inches$

Therefore, the smallest possible perimeter of the triangle

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Question 4 of 15

melisa1 [442]

“C” Os the correct answer

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Which expressions are equivalent to

andrew-mc [135]

Answer

Step-by-step explanation:

the answer is :

90 - 60 = 30

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