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Stolb23 [73]
2 years ago
12

Help me please. Thank you if you do.

Mathematics
1 answer:
Daniel [21]2 years ago
6 0

Answer:

See below

Step-by-step explanation:

Angle A is congruent to Angle C because of alternative interior angles

ABE is congruent to CDE because of ASA

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<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7Bz%7D%7B4%7D%20%2B30%29%20%2B%20%28%5Cfrac%7Bz%7D%7B2%7D%20%29%20%3D%20180" id="Te
Dovator [93]

Answer:

  x = 200

Step-by-step explanation:

Multiply by 4:

  x + 120 + 2x = 720

  3x = 600 . . . . . . collect terms, subtract 120

  x = 200 . . . . . . . divide by 3

_____

<em>Check</em>

  (200/4 +30) +(200/2) = 180

  (50 +30) + 100 = 180

  80 + 100 = 180 . . . . . true

_____ _____

<em>Alternate solution</em>

If you like, you can simply work with the equation given.

  (3/4)x + 30 = 180 . . . . collect terms

  (3/4)x = 150 . . . . . . . . . subtract 30

  x = 200 . . . . . . . . . . . . multiply by 4/3

4 0
3 years ago
Is true that the equation of a line in slope-intercept form is y = mx + b where m is the y-intercept?
Elan Coil [88]
No, b is the y-intercept, m is the slope
3 0
3 years ago
The human population doubles approximately every 50 years if there were 2.5 million people in 1950 how many people are forecaste
Margarita [4]
The equation that would let us determine the number of people or population at a certain year is calculated through the equation,

    A(t) = A(o)(2^(t - 1950)/50)

Substituting the known values,

   A(t) = (2.5 million people)(2^(2100 - 1950)/50))

   A(t) = 20 million 

<em>Answer: 20 million people</em>
3 0
3 years ago
Simplify √20 x √5<br><br> 10<br> 4√5 <br> √10
nlexa [21]

Answer: 10

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the area of a cone that has a diameter of 45ft. and the height of the cone is 96 ft.
jarptica [38.1K]

The formula for area of a cone is A=πr(r+√h²+r²). The radius is half the diameter, so 22.5.

Plug our numbers into the formula.

A=π22.5(22.5+√96²+22.5²)

the answer is 8560.16

6 0
3 years ago
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