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3 years ago

Below are two parallel lines with a third line intersecting them

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

5 0

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Paraphin [41]3 years ago

4 0

Answer:

x=66°

Step-by-step explanation:

Solve for x:

If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:

∠1+∠2=180°

Substitute known values:

$x+114=180$

Subtract 114 from both sides to isolate x:

$x+114-114=180-114\\\\x=66$

The value of x is 66°.

:Done

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Mark runs back and forth on a football field for a total of 3000 yards. How many miles did Mark run to the nearest tenth of a mi

gizmo_the_mogwai [7]

Answer:

1.7 miles.

Step-by-step explanation:

We have been given that Mark runs back and forth on a football field for a total of 3000 yards.

Since we know that 1 mile equals to 1760 yards. To find the number of miles Mark ran we will divide 3000 yards by number of yards in one mile (1760).

$\text{ Mark ran}=\frac{3000\text{ yards}}{1760\frac{\text{yards}}{\text{mile}}}$

$\text{ Mark ran}=\frac{3000\text{ yards}}{1760}\times \frac{\text{miles}}{\ext{yards}}$

After cancelling out yards from numerator and denominator we will get,

$\text{ Mark ran}=\frac{3000}{1760} \text { miles}}$

$\text{ Mark ran}=1.7045454545454545\text{ miles}}\approx 1.7\text { miles}}$

Therefore, Mark ran 1.7 miles on the football field.

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