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Montano1993 [528]
3 years ago
12

The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.

Mathematics
1 answer:
topjm [15]3 years ago
4 0
- Two angles that are complements of each other add to equal 90 degrees (they are complementary angles). 
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.

To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.

90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x

If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.

4x + 25
4(13) + 25
52 + 25
77

Answer:
x = 13
m∠x = 77°
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If b is the midpoint of ac, ac=cd, ab=3x+4, ac=11x-17, and ce=49, find de
IrinaK [193]

First, we draw our line.

 

|------------------------------------------------------------------------------------|

a                                                                                                            e

 

 

Next, break up this line into segments using the information.

 

|----------------------|----------------------|--------------------|------------------|

a                            b                            c                         d                      e

 

 

The entire line is 29.

 

ab + bc + cd + de = ae

ab + bc + cd + de = 29

 

You also know that

 

bd = bc + cd

 

 

Due to midpoint theorem,

 

ab = bc

cd = de

 

 

Then,

 

2ab + 2cd = 29

 

 

The equations we will use are

 

bd = bc + cd                       eq1

2bc + 2cd = 29                   eq2

 

 

Dividing both sides of the equation in eq2 yields

 

bc + cd = 14.5

 

bd = bc + cd

bd = 14.5

5 0
3 years ago
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You planted 488 acres of corn last season. You sold all your corn: 8,120 bushels in August and 46,100 bushels in September. What
strojnjashka [21]
Add August and September for total amount of bushels:

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3 years ago
Find the area of a circle that has a diameter of 11 inches. Approximate ar as 3.14. Round your answer to the
swat32

Answer:

94.99

Step-by-step explanation:

Hi,

The formula to find the area of a circle is: A = πr²

So...

A = 3.14 (r)²

The radius of the circle is 5.5 because half of the diameter is the radius.

A = 3.14 (5.5)²

A = 3.14 (30.25)

A = 94.985 rounded is 94.99

I hope this helps :)

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Answer: 45/60 in simplest form would be B. 3/4

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B.Figures A and C

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