The sum of the measures of angle Y and angle Z is 180 degrees. Angle Y measures (3x + 20) degrees and Angle Z measures x degrees . A.) write an equation and solve for the value of x.
B.) what is the measure of each angle?
1 answer:
A) The question tells us that y + z = 180 And y=3x+20 z=x So we put them in the first formula: y + z = 180 (3x + 20) + x = 180 Add and get x to one side: 4x + 20 = 180 4x + 20 - 20 = 180-20 4x = 160 Divide both sides by 4 x = 40 B) Put x back in to equation to get size of each angle: Y =3x +20 Y=3(40)+20 Y=120+20 Y=140 Z=x Z=40 Verify: y+z=180 140+40=180 180=180
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Step-by-step explanation:
Answer:
a = 1
b = 3
c = 1
d = 2
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Step-by-step explanation:
Any integer with power as zero = 1
<h3>
For a </h3>
2^x
2^0
= 1
<h3>
For b </h3>
3 * 2^x
3 * 2^0
3 * 1
= 3
<h3>
For c </h3>
2 ^ 3(x)
2 ^ 3(0)
2 ^ 0
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2^1
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<h3>
For e </h3>
3 * 2^x
3 * 2^1
3 * 2
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2 ^ 3(1)
2 ^ 3
2 * 2 * 2
= 8
Answer:
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x=2