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3 years ago

Enter the appropriate value to answer the question or solve the problem.

Mathematics

1 answer:

Stolb23 [73]3 years ago

6 0

Answer:

x = 40 degrees

Step-by-step explanation:

Triangle angle sum is 180 so 180 = 65 + 75 + x.

180 = 65 + 75 + x

180 = 140 + x

40 = x

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3 years ago

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3 years ago

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3 years ago

If XY = 5x-3 and XZ=44, find x and the value of YZ

mixer [17]

The midpoint of a line divides the line into equal halves.

The value of x is 5
The value of YZ is 22

Given that:

$XY = 5x -3$

$XZ = 44$

Y is the midpoint of XZ. So:

$XZ = 2 \times XY$

$44 = (5x - 3 ) \times 2$

$44 = 10x - 6$

Collect like terms

$10x = 44 +6$

$10x = 50$

Divide both sides by 10

$x = 5$

Recall that: Y is the midpoint of XZ

This means that:

$YZ = \frac12 XZ$

$YZ = \frac12 \times 44$

$YZ = 22$

Hence, the value of x is 5 and YZ is 22