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Paladinen [302]
3 years ago
11

Find x in the diagram

Mathematics
1 answer:
Dominik [7]3 years ago
3 0
It is 45 degrees because a straight line is 180, there is a right angle which is 90 and 45+45+90=180
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Solve for x.<br><br> Help please
MAVERICK [17]
X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
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Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
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