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:
answer is 1
Step-by-step explanation:
Sum of numbers = -3-2+2+2+6 = 5
Count = 5
So, Average = 5/5
=> Average = 1
300° – 840°
300° – 740°
300° – 720°
The correct answer is:
300° – 720°
Explanation:
Coterminal angles are angles that, when drawn in standard position, have terminal sides in the same place.
Any angles that are coterminal are some multiple of 360° different in measure. This is because in order to be coterminal, they must travel the entire circle at least once, possibly more times.
Out of the given options, the only one that is a multiple of 360° is 300° – 720° .
The table of values by the equation 4y - 2x = 16 is (d)
The table of values that complete the question is added as an attachment
The equation is given as:
4y - 2x = 16
Add 2x to both sides
4y = 2x + 16
Divide through by 4
y = 0.5x + 4
Set x = 0, 2 and 4
y = 0.5(0) + 4 = 4
y = 0.5(2) + 4 = 5
y = 0.5(4) + 4 = 6
So, we have:
x y
0 4
2 5
4 6
Hence, the table of values by the equation is (d)
Read more about linear equations at:
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Answer: x > 5
Step-by-step explanation: To solve for x in this inequality, your goal is the same as it would be if you were solving an equation, to get x by itself on one side.
Since 8 is being subtracted from x, add
8 to both sides of the inequality.
On the left the -8 +8 cancels out
and on the right, -3 + 8 is 5.
So we have x > 5.