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Mazyrski [523]
3 years ago
8

Given that the measure of ?x is 30°, and the measure of ?y is 35 °, find the measure of ?z.

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

The measure of angle z is 115

Step-by-step explanation:

In order to find the measure of the third angle in a triangle, note that all of them should be equal to 180. So we can add them together and set equal to 180.

30 + 35 + z = 180

65 + z = 180

z = 115

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27/2 Is your answer



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-(3 sqrt(2) - 4)/(2 - sqrt(3))

-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
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Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))

(2 - sqrt(3)) (sqrt(3) + 2) = 2×2 + 2 sqrt(3) - sqrt(3)×2 - sqrt(3) sqrt(3) = 4 + 2 sqrt(3) - 2 sqrt(3) - 3 = 1:
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((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
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4 0
3 years ago
A spool of rope contains 79 yards of rope. How many​ 4-foot pieces of rope can be cut from the​ spool? How much rope is left​ ov
mart [117]
<h2>Answer:</h2>

59 can be cut from the spool.

3 Inches is left over.

<h2>Step-by-step explanation:</h2>
  1. 237 feet in 79 yards.
  2. 237 / 4 = 59.25
  3. 59 is the whole number, .25 is what is left over.
  4. .25 feet is 3 inches.

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