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saw5 [17]
2 years ago
5

Are the two triangles similar? If so, state the reason and the similarity statement.

Mathematics
1 answer:
OverLord2011 [107]2 years ago
6 0

Answer:

C

Step-by-step explanation:

LF//RO,

So angle TLF and angle TOR are congruent.

Angle TFL and angle TRO are congrurent.

Because the two pairs of angles are alternate angles.

So the two triangles are similar by AA corollary.

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If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y ?
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Answer:

10

Step-by-step explanation:

2x - 3y = 24 ------ (1)

3x + 4y = 2 ------ (2)

(1) × 4,

8x - 12y = 96 ------ (3)

(2) × 3,

9x + 12y = 6 ------ (4)

(3) + (4)

17x = 96 + 6

= 102

x = 102 ÷ 17

= 6

Sub x = 6 into (2),

3(6) + 4y = 2

18 + 4y = 2

4y = 2 - 18

= -16

y = -16 ÷ 4

= -4

Therefore,

x - y = 6 - (-4)

= 6 + 4

= 10

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