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Tanya [424]
3 years ago
15

NEED HELP ASAP!!!!!!!!!!!

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

a.  \frac{x + 3}{21}=\frac{x + 1}{15}

b. x = 4 (see steps below)

Step-by-step explanation:

Since the two polygons are similar, the sides are proportional to each other.  Using a proportion, you can solve for 'x' using cross-multiplication and division:

\frac{smaller}{larger}=\frac{x + 3}{21}=\frac{x + 1}{15}

Cross-multiply: 15(x + 3) = 21(x + 1)

Distribute:  15x + 45 = 21x + 21

Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21

Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x

Divide by 6 on both sides: 24/6 = 6x/6

Solve for x: x = 4

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