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mestny [16]
3 years ago
5

In the figure, m<2 = 44. What is the measure of <1?

Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer:

m∠1 = 112°

Step-by-step explanation:

To solve for m∠1, we need to find the supplementary angle and subtract from 180°.  We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.

Therefore m∠2 + x + x = 180; combine x's

m∠2 + 2x = 180; substitute m∠2 = 44°

44 + 2x = 180; subtract 44 from both sides

2x = 136; divide by 2

x = 68°

Therefore using the supplementary angle

x + m∠1 = 180 (because it is supplementary)

68 + m∠1 = 180; subtract 68 from both sides

m∠1 = 112°

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What is the answer of equation 9x(30+7)=(9x30)+(9x7)
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Step-by-step:

Simplify both sides of the equation

1/5n+4=0

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1/5n + 4 - 4 = 0 - 4

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How tall is a building that casts a ​78-ft shadow when the angle of elevation of the sun is 30 degrees​?
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Answer: 45.03\ ft

Step-by-step explanation:

Given

The length of the shadow is 78 ft

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8 0
3 years ago
Marty is taking piano lessons. She is going to practice every afternoon. The 1st week she practiced for 11 minutes each day. The
defon

Answer:

m=7w+4

Step-by-step explanation:

<u>Linear Modeling</u>

It consist is setting up a linear relationship between two variables, given some experimental data. Only 2 points are needed to set up the equation of a line, but if more than 2 points are used, then the result should use statistical approaches like linear regression to find the best-fit line.

For the question at hand, Marty practices his piano lessons 11 minutes the week #1. It provides the first point (1,11). He practices 25 minutes per day on the third week. It gives us another point (3,25). This is enough to find the equation of a line. The general formula for a line, having two points (m1,w1) (m2,w2) is

\displaystyle m-m_1=\frac{m_2-m_1}{w_2-w_1}(w-w_1)

Let's plug in our values

\displaystyle m-11=\frac{25-11}{3-1}(w-1)

Simplifying:

m-11=7w-7

\boxed{m=7w+4}

3 0
4 years ago
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