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tester [92]
3 years ago
8

NEED HELP ASAP 70 POINTS

Mathematics
2 answers:
Viefleur [7K]3 years ago
8 0

Answer:

x = 24 inches

Step-by-step explanation:

We can use similar triangles to solve this problem.  Put the same side of the small triangle over the same side of the large triangle

5 in           8 in

--------- = ------------

15 in         x in

Using cross products

5x = 8*15

Divide by 5

5x/5 = 8*15/5

x = 8*3

x = 24 inches

Vera_Pavlovna [14]3 years ago
7 0

Look at the picture.

We have the similar triangles (AAA). Therefore the lengths of the sides are in proportion:

\dfrac{x}{8}=\dfrac{15}{5}

\dfrac{x}{8}=3           <em>multiply both sides by 8</em>

\boxed{x=24\ in}

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