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AysviL [449]
3 years ago
5

Given: ∠1 , ∠2 , ∠3 , and ∠4 formed by two intersecting segments. Prove: ∠1 and ∠3 are congruent. The figure shows 2 intersectin

g lines. One line rises from left to right and the other line falls from left to right. The 4 angles formed moving clockwise as angles 1, 2, 3, and 4. Drag the answers into the boxes to correctly complete the proof.

Mathematics
2 answers:
Shkiper50 [21]3 years ago
8 0

Answer:

Angle 1 and angle 3 are congruent by Vertical Angle theorem. It can also be proven using reflection.

Step-by-step explanation:

Two line segments which intersect form one intersection point which has 4 angles from it. Angles 1 and 3 will be directly across from each other off this intersection point. Vertical Angle Theorem states these are congruent.

Angles can be reflected across this intersection point. Since reflection preserves size and shape, these two angles will land on one another and be the same angle.

notsponge [240]3 years ago
5 0

Answer:

1 ) definition of a linear pair

2 ) substitution property

3 ) subtraction property of equality

4 ) angle congruence postulate

Step-by-step explanation:

Just took the test, hope this helped :)

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The amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y=22x+42.
sasho [114]

Answer:

Step-by-step explanation:"

The electrician charges an initial fee of $42", AND "The electrician charges $22 for every hour worked" is true.

The equation is y=22x+42. The formula is y=mx+b.m is the slope, or is this case, the number of dollars for every "x", which is the number of hours worked. So you have to pay $22 for every hour the electrician works.b is the y-intercept, or the amount it starts with, in this case, you have to pay a fee of $42 even when the electrician worked 0 hours. This is because $42 is the amount it starts with.On a graph, the line will start at (0,42) because that is when you start paying. And then it will increase by 22 for each hour, so the next coordinate would be (1,64).

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4 years ago
Please help! Write down the quadratic equation whose roots are x = -7 and x = 1, and the coefficient of x^2 is 1.
garik1379 [7]

Answer:

x²+6x-7

Step-by-step explanation:

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3 years ago
A rectangular tank is 100cm, 30cm wide and 12cm deep. The volume of liquid it will hold is?
konstantin123 [22]
Assuming that you mean 100cm in length, I think I know the answer, but message me if I’m wrong so that I can correct myself!!!

Volume is L • W • H where L is length, W is width, and H is height.

To find the volume you have to multiply all the dimensions, so 100 * 30 * 12 = 36,000, and since its 3 dimensional we use cm^3 which is centimetres cubed.
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Grace hikes 2.5 miles per hour. If she hikes for 5.5 hours, how far will she have gone? HELPPP
kykrilka [37]
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3 years ago
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