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laila [671]
3 years ago
15

Given ABCD, solve for x.

Mathematics
2 answers:
Fynjy0 [20]3 years ago
5 0
X value is 9 degree.
s344n2d4d5 [400]3 years ago
5 0

Answer:

x=9

Step-by-step explanation:

Given is a parallelogram ABCD

AB and CD are parallel sides and also BC with AD

Since AB and CD are parallel we have

angle A + angle D =180

Angle A = 30+5x and angle B =15+10x

Sum = 30+5x+15+10x = 180

Simplify to get

45+15x =180

Subtract 45

15x = 180-45 =135

Divide by 15

x=9

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Step-by-step explanation:

<u>To solve for 'x', isolate it</u>. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

<u>When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations</u>. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, <u>what you do to one side you have to do to the other</u>.

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\frac{3}{8}x-17+17=10+17        Add 17 to both sides. "-17" cancels out on the left.

\frac{3}{8}x=27        Simplified right side

\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}        Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

x=27/\frac{3}{8}        To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

x=27*\frac{8}{3}        Combine the factors into one fraction.

x=\frac{27*8}{3}        Multiply 27 by 8 in the numerator.

x=\frac{216}{3}        Simplify the fraction by dividing top by bottom.

x=72        Final answer, solved for 'x'

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3 years ago
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