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marusya05 [52]
2 years ago
10

Can someone please help me?

Mathematics
1 answer:
adoni [48]2 years ago
7 0

Answer:

2. x = 3

3. x = 10 and y =2

Step-by-step explanation:

2.

From inspection, we can see that EF = 10 and KL = 5

Therefore the ratio KL : EF = 5 : 10 = 5/10 = 1/2

This means that the side measures of ΔJKL are 1/2 the corresponding side measures of ΔGEF

Therefore, if GF = 22, then JL = 22 ÷ 2 = 11

So:  2x + 5 = 11

⇒  2x = 11 - 5 = 6

⇒ x = 6 ÷ 2 = 3

x = 3

3.

From inspection, we can see that DF = 12 and HJ = 9

Therefore the ratio DF : HJ = 12 : 9 = 12/9 = 4/3

This means that the side measures of ΔDEF are 4/3 times the corresponding side measures of ΔHGJ

Therefore, if HG = 6, then DE = 6 x 4/3 = 8

So:  2y + 4 = 8

⇒  2y = 8 - 4 = 4

⇒ y = 4 ÷ 2 = 2

y = 2

Similarly, if GJ = 24, then EF = 24 x 4/3 = 32

So:  4x - 8 = 32

⇒  4x = 32 + 8 = 40

⇒ x = 40 ÷ 4 = 10

x = 10

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