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Vinvika [58]
4 years ago
9

Help me solve and show all steps please and thank you

Mathematics
2 answers:
melisa1 [442]4 years ago
5 0
<span>Okay. So m<A=120 m<B=120 m<C= 60 m<D = 60 :D
</span>
Work:<span>

</span>opposite angles add up to 180 if it's an isosceles trapezoid. 
So you do 2x+x=180
3x=180
x=60
Then you plug it in. 
2(60)= 120
(60)=60
and the top two angles are always congruent in an isosceles trapezoid, and the bottom two too. 
so <span>m<A=120 m<B=120 m<C= 60 m<D = 60 </span>
musickatia [10]4 years ago
4 0
Since opposite angles in a trapezoid are supplementary (add to 180) we can say that :

x + 2x =180
3x = 180
x=60

So, angle A = 120 ° and angle C = 60°
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Problem 3
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Problem 1 Answer: x=10

<u>Simplify both sides of the equation</u>

<u></u>(2)(x)+(2)(-3)=14(Distribute)<u></u>

<u></u>2x+-6=14<u></u>

<u></u>2x-6=14<u></u>

<u></u>

<u>Add 6 to both sides</u>

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<u></u>x=10<u></u>

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Problem 2 Answer: x=-7

<u></u>

<u>Simplify both sides of the equation</u>

<u></u>(-5)(x)+(-5)(-1)=40(Distribute)<u></u>

<u></u>-5x+5=40<u></u>

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<u>Subtract 5 from both sides</u>

<u></u>-5x+5-5=40-5<u></u>

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<u>Divide both sides by -5</u>

<u></u>-5x/5=35/-5<u></u>

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Problem 3 Answer: x=-8

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<u>Simplify both sides of the equation</u>

<u></u>(12)(x)+(12)(10)=24(Distribute)<u></u>

<u></u>12x+120=24<u></u>

<u></u>

<u>Subtract 120 from both sides</u>

<u></u>12x+120-120=24-120<u></u>

<u></u>12x=-96<u></u>

<u></u>

<u>Divide both sides by 12</u>

<u></u>12x/12=-96/12<u></u>

<u></u>x=-8<u></u>

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Problem 4 Answer: x=-1/2

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<u>Move all terms to the left:</u>

<u></u>2(x+6)-(11)=0<u></u>

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<u></u>2x+12-11=0<u></u>

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<u>Add all the numbers together, and all the variables</u>

<u></u>2x+1=0<u></u>

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