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ipn [44]
4 years ago
14

Find the measure of z

Mathematics
2 answers:
Andrew [12]4 years ago
7 0

Answer:

Answer z = 55

Step-by-step explanation:

Remark

I think you have to assume that the horizontal line is a straight line. If that is so, the other line, the one that looks like it is going up and to the left, cuts that horizontal line in such a way that the angles are supplementary. Supplementary angles are angles that add up to 180 degrees.

Equation

2z - 10 + 80 = 180 Combine the like terms on the left.

Solution

2z + 70 = 180                    Subtract 70 from both sides.

2z + 70 - 70 = 180 - 70     Combine

2z = 110                             Divide by 2

2z/2 = 110/2                      Do the division

z = 55                                 Answer


IRISSAK [1]4 years ago
5 0

Answer:

z=55

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

80 + 2z-10 = 180

Combine line terms

70 +2z = 180

Subtract 70 from each side

70-70 +2z= 180 -70

2z = 110

Divide by 2

2z/2 = 110/2

z = 55

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Step-by-step explanation:

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3 years ago
Simplify each expression by combining like terms. 7x - 4x + 28
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3x + 28

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7 0
3 years ago
The number of phone calls between two​ cities, N, during a given time period varies directly as the populations p 1 and p 2 of t
kherson [118]

Answer:

∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.

Step-by-step explanation:

Given that,

The number of phone calls between two cities (N )

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N\propto\frac{p_1p_2}{d}

N=k.\frac{p_1p_2}{d}

Given that,

N=18,000, d=310 miles,  p_1=15,500 and p_2=180,000

18,000=k.\frac{15,500\times 180,000}{310}

\Rightarrow k=\frac{18,000\times310}{15,500\times 180,000}

\Rightarrow k=\frac{31}{15,500}

Now,

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N=\frac{31}{15,500}.\frac{100,000\times 160,000}{435}

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∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.

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3 years ago
A board is leaning against a vertical wall. One end of the board rests on the ground at a point eight feet from the wall. The ot
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Answer:

36.87°

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Since ABC is a right-angle triangle, we can use trigonometric ratios to solve for unknown angles and sides.

For Angle at A, we have lengths of opposite and adjacent sides so we can use tangent at A.

tan(A) = opposite/adjacent

tan(A) = CB/AB

tan(A) = 6/8

A = (tan^-1)(0.75)

A = 36.86989765°

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