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OleMash [197]
3 years ago
10

Using the diagram below, find x.

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

x=28

Step-by-step explanation:

we~know~ that~ all~ the~ angles ~in ~a ~triangle ~all~add ~up ~to ~180° That ~means: x + ( 2x + 5 ) + ( 3x + 7 ) = 180.~Since~ addition~ is~ associative,\\~x + ( 2x + 5 ) + ( 3x + 7 ) = 180~ is ~the~ same ~as~ x + 2x + 5 + 3x + 7 = 180.

Combining~ like~ terms,~ we ~get: 6x + 12 = 180.

After~ we ~move~ 12~ to~ the~ other~ side~ so ~the~ x~ is~ iscolated,~ we~ get:\\\ 6x = 168.\\

Dividing~ each~ side~ by~ 6 ~gets~ us ~to~: x = 28, ~so ~the~ answer~ to~ this~ question~ is D.\\

Hope~this~helps!~Have~a~blessed~day~ahead!

-Isabelle~Williams

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Solve the system of equations algebraically.<br><br> 3x+8y=−6<br> x−y=9 <br> (x,y)= (
vova2212 [387]

Step-by-step explanation:

x=y+9

substitute

3(y+9)+8y=-6

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faltersainse [42]

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A rectangular yard has area 96 square feet. If the width of the yard is 4 ft less than length, what is the perimeter,in feet, of
marusya05 [52]
Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
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x(x - 12) +8(x - 12) = 0
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As the value of length cannot be negative so
x - 12 = 0
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So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
                             = 12 - 4 feet
                             = 8 feet
Then
Perimeter of the yard = 2 (length + width)
                                   = 2(12 + 8)
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6 0
3 years ago
Solve for u.<br> 8u-21 = 2u-9
erastovalidia [21]

Answer:

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Step-by-step explanation:

8u-21 = 2u-9

+21             +21

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-2u    -2u

6u= 12

divide by 6, u=2 !!

6 0
3 years ago
Read 2 more answers
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