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Zepler [3.9K]
1 year ago
13

Find the measure of each missing angle in the parallel lines and transversals below

Mathematics
1 answer:
never [62]1 year ago
6 0

The equation is 10x=2x+60

 x=15/2

∠CFH=75

∠CBD= 75

We are dealing with parallel lines, which are the lines that are equidistant to each other and never meet,  will never meet, when such lines are crossed by another line called the transversal creates many angles such as corresponding angles, vertical angles, alternate interior angles, alternate exterior angles, consecutive angles.

Since, angle CBD and angle CFH are the corresponding angles and they are equal to each other, we are given CBD=2x+60 and CFH = 10x

therefore , 10x=2x+60

=>10x-2x=60

=>8x=60

x=15/2

So, the angle CBD= 2x+60= 2(15/2)+60=  75

and the angle CFH = 10x= 10(15/2)= 75

To know more about  parallel lines refer to the link brainly.com/question/16701300?referrer=searchResults.

#SPJ1

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STatiana [176]
75 degrees,
All triangles have a sum 180on the interior angles.
We know 90 and 30,
90+30=120,
180-120= 60.
60 is the measure of angle A.
Angle bisectors “cut an angle in half” per se, so 90/2=45.
45 is the measure of angle ACM
So, 60+45= 105,
180-105=75,
So the measure of the angle in question is 75.
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2 years ago
Cisco and Misty need to construct a chicken coop for their famous egg-laying hens. The hens need at least 108 square feet of liv
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The dimensions of the coop are length = 12 ft and width = 9 ft

<h3>Area of the coop</h3>

Since the coop is a rectangle, the area of the coop is A = LW where

  • L = length of coop and
  • W = width of coop.

Now, the length of the coop 3 feet longer than the width, so, L = W + 3

Now, the area of the coop A = 108 ft²

So, A = LW

A = (W + 3)W

108 = W² + 3W

Re-arranging,

W² + 3W - 108 = 0

So, we solve the equation to find the width of the coop

<h3>Width of coop</h3>

W² + 3W - 108 = 0

Factorizing, we have

W² + 12W - 9W - 108 = 0

W(W + 12) - 9(W + 12) = 0

(W + 12)(W - 9) = 0

W + 12 = 0 or W - 9 = 0

W = -12 or W = 9

Since W cannot be negative, W = 9

<h3>Length of coop</h3>

Since L = W + 3

Substituting the value of W into L, we have

L = W + 3

L = 9 + 3

L = 12 ft

So, dimensions of the coop are length = 12 ft and width = 9 ft

Learn more about dimensions of coop here:

brainly.com/question/15558785

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