Problem 1
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Explanation:
Complementary angles add to 90
(angle1)+(angle2) = 90
(5x+6)+(68-x) = 90
4x+74 = 90
4x = 90-74
4x = 16
x = 16/4
x = 4
So,
angle1 = 5x+6 = 5(4)+6 = 26
angle2 = 68-x = 68-4 = 64
Note how
angle1+angle2 = 26+64 = 90
to help check our answer
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Problem 2
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Explanation:
The shortest side of a triangle is always opposite the smallest angle.
The longest side of a triangle is always opposite the largest angle.
Based on those two facts, we can say the shortest side is BC (since angle A = 53 is the smallest angle) and the longest side is AB (since angle C = 70 is the largest)
The order from smallest to largest is
BC, AC, AB
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Problem 3
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Explanation:
Use the reverse of the idea from problem 2. We know that AC is the smallest side which must mean that angle B is the smallest angle. Since BC is the largest side, angle A must be the largest angle.
The order of the angles is B < C < A
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Problem 4
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Explanation:
The same side exterior angles must be supplementary to have parallel lines.
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Problem 5
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Explanation:
Use the same idea as problem 2. The smallest angle is opposite the smallest side. The smallest side is 48, so angle G being opposite of that side, is the smallest angle.
Angle O would be the largest as it is opposite the largest side DG = 70
Answer: 22
Step-by-step explanation:
it is 22 because 30-8=22
If Jaclyn has 30 times as many apples as her sister and her sister has 8 stickers, we can find out how many stickers Jaclyn has by multiplying her sister's number of stickers by 30.
Stickers Jaclyn has = 30 * (Stickers her sister has)
Stickers Jaclyn has = 30 * 8
Stickers Jaclyn has = 240
So, Jaclyn has 240 stickers.
B. 2
C. 4
D.
Answer:
B. 2
Step-by-step explanation:
The number next to the variable is the coefficient. So, it is 2
Answer:
B
Step-by-step explanation:
2 is the coefficient and x is the variable.