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Andrej [43]
3 years ago
11

Please answer asap!!!!!!!!!!!!!!!!!!1

Mathematics
2 answers:
Vlad [161]3 years ago
8 0

Answer:

x= 145 degrees

Step-by-step explanation:

I'm going to assume that the 2 lines are parallel only because if they weren't, the problem would be impossible to solve.

If 2 parallel lines are cut by a transversal, then:

1. Corresponding angles are congruent

2. Alternate interior angles are congruent

3. Alternate exterior angles are congruent

4. Consecutive interior angles are supplementary

So, how do you solve this?

There are many ways.

1. All vertical angles are congruent. In this case, x and a 145 degree angle is congruent. This is one way to show x=145

2. x and another 35 degree angle are consecutive interior angles. They should add up to 180 degrees, 180-35-145. Therefore x=145 degrees.

Mkey [24]3 years ago
6 0

Answer:

x=145° (vertically opposite angles)

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3 years ago
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Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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\mu = 4.84, \sigma = 0.05

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

Z = \frac{X - \mu}{\sigma}

1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*1.88

X = 4.934

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X - 4.84 = 0.05*(-1.88)

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