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Lapatulllka [165]
4 years ago
7

Alex has two different size bookends for his bigger books and smaller books. What is the length of the diagonal distance, x, of

his smaller bookend? Enter your answer, as a decimal, in the box.

Mathematics
2 answers:
maksim [4K]4 years ago
5 0

Answer:

Just took the test and got the the correct answer *\(♡°▽°♡)/*

Step-by-step explanation:

Look at the image down below!!

Lynna [10]4 years ago
4 0
The length of x is 7.2 in. The two triangles in the diagram are similar triangles. In other words, the lengths of their corresponding sides are proportional. In the first triangle, the ratio of the vertical length to the diagonal length is 10:12, and this proportionality is the same in the second triangle. 6:x=10:12, so x=6*12/10=7.2 in.
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The scale drawing below shows an enlargement by a scale factor of 2.
mars1129 [50]

Answer:

4.5

Step-by-step explanation:

The scale factor is 2

This means that the sides are proportional by a factor of 2.

In other words, you multiply 2 with the side lengths of first trapezoid to get the side length of second trapezoid.

You can see the pattern:

12 goes with 24

4.5 goes with 9

7 goes with 14

<u>X goes with 9</u>

<u></u>

The "X" is the missing side.

As you can see, we multiply each number on the left-hand side by 2 to get the number on the right-hand side (larger trapezoid).

So, that means:

X multiplied by "2" will gives us 9, we can write:

x*2=9\\

Complete the equation and find x:

x*2=9\\2x=9\\x=\frac{9}{2}\\x=4.5

The missing side length in the original trapezoid is "4.5"

5 0
4 years ago
Read 2 more answers
A hyperbola centered at the origin has a vertex at (9, 0) and a focus at (−15, 0). Which are the equations of the asymptotes? y
chubhunter [2.5K]
Well, we know is centered at the origing, thus h,k are just 0,0.

using the provided vertex and focus point, gives us a distance for "a" of 9 and a distance for "c" of 15, check the picture below.

\bf \textit{hyperbolas, horizontal traverse axis }\\\\&#10;\cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1&#10;\qquad &#10;\begin{cases}&#10;center\ ( h, k)\\&#10;vertices\ ( h\pm a,  k)\\&#10;c=\textit{distance from}\\&#10;\qquad \textit{center to foci}\\&#10;\qquad \sqrt{ a ^2+ b ^2}\\&#10;\textit{asymptotes}\quad  &#10;y= k\pm \cfrac{b}{a}(x- h)&#10;\end{cases}\\\\&#10;-------------------------------

\bf \begin{cases}&#10;a=9\\&#10;c=15&#10;\end{cases}\implies c=\sqrt{a^2+b^2}\implies \sqrt{c^2-a^2}=b&#10;\\\\\\&#10;\sqrt{15^2-9^2}=b\implies \sqrt{144}=b\implies \boxed{12=b}\\\\&#10;-------------------------------\\\\&#10;asymptotes\qquad y=0\pm\cfrac{12}{9}(x-0)\implies y=\pm\cfrac{4}{3}x

3 0
4 years ago
Read 2 more answers
The radius of a circle is 18 inches. What is the circle's area?
oksano4ka [1.4K]

Answer:

1017.88 inches

Step-by-step explanation:

Area = πr2 = π x 182 ≈ 1017.87602

3 0
3 years ago
Researchers wanting to assess skin irritation associated with a new sunscreen developed for those with photosensitivity. They ra
vazorg [7]

Answer:

Blablabka

Step-by-step explanation:

Blablabla

3 0
3 years ago
12. (01.06)
OLEGan [10]

Answer:

I choose my choice as A

Step-by-step explanation:

Two times the sum of (x+7) x plus seven plus ten (+10)

7 0
3 years ago
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