Answer:
Exterior angle to be used for parking is 72°
Step-by-step explanation:
I've attached an image of a paralelogram.
Now, we are told that from the outside it looks like a parallelogram with one of the interior angles as 108.
This means that the bigger angle internally would be 108°
Which from the attached image is angle B internally or angle D internally.
So, the interior angle observed will be either at point B or D on the parallelogram.
Now, the sum of angles on a straight line is 180°
Thus,
Internal angle D + External Angle D = 180
Or
Internal angle B + External Angle B = 180
Internal angle is 108°
Thus;
External angle for either B or D = 180 - 108 = 72°
So the exterior angle to be used for parking is 72°
Answer:
The season will last 4 months after the first month (5 months in total)
Step-by-step explanation:
53 games
9 games first month
11 games per month (since the second one)
x - number of months
9 + 11x = 53
11x = 53-9
11x = 44
x = 4
Answer:
94°
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle is 180°. To do it the easier (but longer) way, simply do the following. Add all the interior angles up, and subtract it from 180 to get the angle you do not know, and then solve for angle 1:
180 = (29 + 65 + m∠2)
= 180 - 94 = m∠2
= m∠2 = 86°
Next, note that ∠1 & ∠2 are directly next to each other. When this occurs, solve for their supplementary angle. We know that m∠2 = 86°. Supplementary Angle = 180°:
180 - 86 = 94°
m∠1 = 94°.
The simpler way to solve this, is to first note that it is a triangle. To solve for the outlier angle, simply add the two opposite angles together to get your answer:
m∠1 = 29 + 65
m∠1 = 94°.
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Answer:
x = 40 1/2
Step-by-step explanation:
The hash marks tell you the triangles are similar and the smaller one is 1/2 the size of the larger one. Then x is half the length of the corresponding segment marked 81.
x = 81/2
x = 40 1/2
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You may have to write it as 81/2 or as 40.5. Sometimes the answer needs to be in a particular form.
1/6 = 0.16 with a line over the 6 because it is repeating
