If the measure of 1 is x and the measure of <2 is x+50, what is the measure of <4?A. 50B. 55C. 110D. 115

If the measure of 1 is x and the measure of <2 is x+50, what is the measure of <4?
A. 50
B. 55
C. 110
D. 115

Answers

Answer 1

Answer:

Measure of angle 4 is 115°

Step-by-step explanation:

First, we want to find the measure of angle 2, because the measure of angle 2 is equal to angle 4. When 2 straight lines cross each other, the angles formed are always equal to the angle right across from it.

Find angle 2 by setting up an equation:

[tex]x+x+50=180[/tex]

This is basically saying that angle 1 plus angle 2 equals 180°. In a half turnaround, the angle is 180°. Angle 1 and 2 make up a half turnaround.

Solve the equation:

[tex]x+x+50=180[/tex]

Combine the 2 x's to get 2x.

[tex]2x+50=180[/tex]

Subtract 50 from both sides.

[tex]2x=130[/tex]

Divide both sides by 2.

[tex]x=65[/tex]

Since x=65, plug 65 into x in the measure of angle 2 (x+50).

65+50=115.

Since Angle 2 is equal to angle 4, angle 4 is also 115.

Related Questions

What two things are needed to create an algebraic equation? Provide an example of an algebraic equation.

Answers

Answer:

a variable and an equal sign

Step-by-step explanation:

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Answer:

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Answers

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Answer:

y= -4x

Step-by-step explanation:

Jenna ordered four pizzas for $8.55 each, including tax. If she wanted to give a
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Answers

Given:

Cost of each pizza including tax = $8.55

Number of pizzas = 4

Tip = 15%

To find:

Her total bill.

Solution:

We have,

Cost of 1 pizza including tax = $8.55

Cost of 4 pizza including tax = [tex]4\times \$8.55[/tex]

= [tex]\$34.2[/tex]

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[tex]\dfrac{15}{100}\times \$34.2=\$5.13[/tex]

Thus, the amount of tip is $5.13.

Now the total amount of bill is:

[tex]\text{Total amount of bill}=\text{Cost including tax}+\text{Tip}[/tex]

[tex]\text{Total amount of bill}=\$34.2+\$5.13[/tex]

[tex]\text{Total amount of bill}=\$39.33[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

Find the prime factorization of 58

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

n ≥ - 1

The inequality states that n is greater than or equal to - 1

To show the equal part on the number line the point at - 1 must be a solid circle, not an open one

No, the given number line does not represent the number line shown by Charles.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,

The inequality is given by Charles,
n ≥ -1

But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.

Thus, the given number line does not represent the number line shown by Charles.

Learn more about number line here:

brainly.com/question/17683084

#SPJ2

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Answers

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Answer:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

<1 = 130

<2 = 50

Step-by-step explanation:

<1 = 130 since it is an alternate interior angle and alternate interior angles are equal when the lines are parallel ( a is parallel to b)

<1 + <2 = 180 since the form a straight line

130+ <2 = 180

<2 = 180-130

<2 = 50

Answer:

Solutions given:

m<1=130°[alternate angle are equal]

again

m<1+m<2=180°[linear pair]

m<2=180°-130°

m<2=50°

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Answers

Answer:

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