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sammy [17]
3 years ago
15

I need help with these two

Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

Part 1) Slope-intercept form

Part 2) The slope of 2.20 tells me the rate per mile and the y-intercept of 2.50 tells me the flat fee

Step-by-step explanation:

Part 1) we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

y=2.50+2.20x

This is a linear equation in slope intercept form

where

m=2.20

b=2.50

Part 2) we have that

x -----> represent the number of miles

y ----> represent the total charge in dollars

The slope is

m=\$2.20\ per\ mile ---> unit rate

The y-intercept is

b=\$2.50 ----> initial value or flat fee

therefore

The slope of 2.20 tells me the rate per mile and the y-intercept of 2.50 tells me the flat fee

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What are the remaining angle measures if the figure is to be a parallelogram?
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Answer:

We conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

Step-by-step explanation:

Given the parallelogram ABCD

We know that a parallelogram has opposite angles that are congruent.

Here,

The angles ∠A and ∠C are opposite angles.

Thus,

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The angles ∠B and ∠D are opposite angles.

Thus,

  • ∠B = ∠D

<u>Determining the measure of angles of a parallelogram:</u>

As

∠A = 79°

We know

  • ∠A = ∠C

Thus, the measure of the angle ∠C is:

m∠C = 79°

We know that the sum of the measure of two consecutive angles is 180°.

As ∠A and ∠D are consecutive angles, so

∠A + ∠D = 180°

substituting ∠A = 79° in the equation

79° + ∠D = 180°

subtracting 79° from both sides

79° + ∠D - 79° = 180° - 79°

∠D = 101°

Thus, the measure of the angle D is:

m∠D = 101°

We know that the angles ∠B and ∠D are opposite angles.

Thus,

  • ∠B = ∠D

so if m∠D = 101° then ∠B is also 101°.

Therefore, the measure of angle B is:

m∠B = 101°

Hence, we conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

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