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arsen [322]
3 years ago
6

The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through

each of the parallel segments. A sketch of two parking spaces is shown below. 2 diagonal parallel lines are cut by a horizontal transversal. Where the first parallel line intersects the transversal, the top right angle is angle 1. Where the second parallel line intersects the transversal, the top left angle is angle 2. If m∠2 = 115°, what is m∠1?

Mathematics
2 answers:
Svetach [21]3 years ago
3 0

Answer:

65°

Step-by-step explanation:

The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).

Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:

m∠1 + m∠2 = 180°

m∠1 + 115 = 180

m∠1 = 180 - 115

m∠1 = 65°

lapo4ka [179]3 years ago
3 0

Answer:

65

Step-by-step explanation:

just did it in edge  2020

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alina1380 [7]

The formula to find the volume multiplies the length by the width by the height.A cube has all edges the same length .If we multiply the edges three times we get the volume of any cube.

Volume of cube with sides a is Volume V= a^{3}

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Volume V= 3.4^{3} =(3.4)(3.4)(3.4)=39.3

Volume of cube is 39.3 cubic meters.

4 0
3 years ago
Is this a function or not a function​
Lemur [1.5K]

Answer:

It is a function

Step-by-step explanation:

The Vertical line test

Draw a vertical line. If it touches the graph one time, it's a function.

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3 years ago
Slope intercept of (1,1) and (0,7)
Sonja [21]

Answer:

\boxed {m = -6}

Step-by-step explanation:

Use the <u>Slope Formula</u> to help you determine the slope of the following two points:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

(Where (x_{1}, y_{1}) is the first point and (x_{2}, y_{2}) is the second point)

-Apply both points onto that formula:

(x_{1}, y_{1}) = (1, 1)

(x_{2}, y_{2}) = (0, 7)

m = \frac{7 - 1}{0 - 1}

-Solve:

m = \frac{7 - 1}{0 - 1}

m = \frac{6}{-1}

\boxed {m = -6}

3 0
3 years ago
2) Lisa is ordering sand from the Internet, On one site she found sand on sale for
Anastasy [175]

For this case we must find the unit cost (dollars per pound) of each site and then compare.

We take into account that:

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So, we have:

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C = 2.25 \frac {dollars} {pound}

Site 2:

5kg = 5 (2.205\ pounds) = 11.025 pounds

So, the unit cost is:

C = \frac {14} {11.025} \frac {dollars} {pound} = 1.27 \frac {dollars} {pound}

Thus, the best deal is on site 2.

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Maru [420]

Answer:

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Step-by-step explanation:

We have that the polynomial, has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2.

This means the factored form of the polynomial will be.

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Also, it was given that, the y-intercept is y=-12.6.

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Therefore the polynomial is

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7 0
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