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SVETLANKA909090 [29]
3 years ago
15

Find x and y 30 points

Mathematics
2 answers:
Vika [28.1K]3 years ago
7 0

Since the two triangles are similar

\frac{5 + x}{5}  =  \frac{7 + y}{7}  =  \frac{10}{8}  \\ \implies \frac{5 + x}{5}  =  \frac{10}{8}  \\ \implies x =  \frac{50}{8}  - 5 =  \frac{50 - 40}{8}  =  \frac{10}{8}   =  \frac{5}{4} \\  \therefore x =   \frac{5}{4}

Also,

\\ \frac{7 + y}{7}  =  \frac{10}{8}  \\ \implies y =  \frac{70}{8}  - 7 =  \frac{70 - 56}{8}  \\  \therefore y =   \frac{14}{8}  =  \frac{7}{4}

Feliz [49]3 years ago
5 0

Answer:

Scalar factor (k) = Image/Object = 10/8 = 5/4

Also Scalar factor = (5 + x)/5

5/4 = (5 + x)/5

multiplying both sides by 20 gives;

5 × 5 = 4(5 + x)

25 = 20 + 4x

4x = 25 - 20

x = 5/4

Scalar factor = (7 + y)/7

5/4 = (7 + y)/7

multiplying both sides by 28 gives;

7 × 5 = 4(7 + y)

35 = 28 + 4y

4y = 35 - 28

y = 7/4

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