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2 years ago

21x + 7 22x + 2 180

Mathematics

2 answers:

serious [3.7K]2 years ago

4 0

Answer:

x = 5

Explanation:

If the angle are parallel:

step 1:

21x + 7 = 22x + 2

21x - 22x = 2 -7

-x = -5

x = 5

finding upper angle, then when both lies on straight line equals to 180°

step 2:

180 = (180 - 22x - 2 ) + 21x + 7

180 = 180 - 2 + 7 - 22x + 21x

180 = -x 185

-5 = -x

x = 5

schepotkina [342]2 years ago

3 0

Solution:

Note that:

21x + 7 = 22x + 2 (Vertically opposite angles)

Solve the equation to find the value of x.

21x + 7 = 22x + 2
=> -2 + 7 = 22x - 21x
=> 5 = x

The value of x is 5.

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Plz i need this done quick thx

eduard

Answer:

106 degrees

Step-by-step explanation:

Sides AB and CD are equal in length and sides AD and BC are parallel to each other. This tells us that angles B and C are equivalent. Knowing this, we can set up the following equation to solve for x:

$4x+42=74+2x$

Subtract both sides by 42

$4x+42-42=74+2x-42\\4x=32+2x$

Subtract both sides by 2x

$4x-2x=32+2x-2x\\2x=32$

Divide both sides by 2

$\frac{2x}{2} =\frac{32}{2} \\x=16$

Now, to find angle ABC, or angle B, we can plug x back into its expression:

$4x+42\\= 4(16)+42\\=64+42\\= 106$

Therefore, the measure of angle ABC is 106 degrees.

I hope this helps!

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3 years ago

A __________ is a quadrilateral that has one pair of opposite sides parallel.

Ann [662]

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4 years ago

Help please 3^4 + 4 ⋅ 5 = ____. (Input whole numbers only.) (20 points)

Akimi4 [234]

Answer:

101

Step-by-step explanation:

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3 years ago

Read 2 more answers

Select the two statements that are true about the equation −10=60(−40)

Aleksandr-060686 [28]

Answer:

The slope of the line is 60

One point on the line is (40, 10)

Step-by-step explanation:

The missing choices are :

1) The slope of the line is 10

2)One point on the line is (40, 10)

3)The slope of the line is 60

4)One point on the line is (10, 60)

Given the equation y−10=60(x−40), applying distributive property we get:

y−10=60x - 60*40

t = 60x - 2400 + 10

t = 60x - 2390

The slope is the number that multiplies x, that is, 60.

To check if the point (40, 10) belongs to the equation, replace the values x = 40 and y = 10 in the equation, as follows:

(10)−10=60((40)−40)

0 = 0

The same number appear at both sides of the equal sign, then the point (40, 10) is on the line. Analogously, for point (10, 60):

(60)−10=60((10)−40)

50 = 60*(-30)

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The two numbers are different, then, the point (10, 60) is not on the line.

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3 years ago

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Alchen [17]

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