What is the measure on an interior angle of this polygon?
2 answers:
Answer:
a. 160
b. 18
Step-by-step explanation:
a. When the exterior and interior angles are added together, they add up to 180°. So this means that the interior angle equals 160°
b. The total of all exterior angles will always add up to 360°. With this information, you can divide 360 by the exterior angle to get the total sides of the shape.
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Answer:
Step-by-step explanation:
In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.
What the formula means is that we have to add up all the values then divide by the total number of values.
Let's represent our unknown number as .
(since we want AT LEAST an 86).
Let's solve this inequality for x.
So, Alex must score at least an 87% on his next quiz to have an average of 86%.
Hope this helped!
Answer: x = -4 ; Angle = 60°
Concept:
The given figure is a triangle with 3 arc signs on each angle. This <u>arc sign </u>stands for the corresponding angles are congruent, which in this question, it shows that all three angles are congruent. Sometimes, if the figure has multiple angles and there are different groupings of congruent angles, then we use different numbers of arcs or symbols.
Solve:
<u>Given information</u>
An angle = 3x + 72
Total measure of angles = 180 (triangle angle sum theorem)
Total number of congruent angles = 3
<u>Given expression</u>
Total measure = Total number of congruent angles × An angle measure
<u>Substitute values into the expression</u>
180 = 3 (3x + 72)
<u>Divide 3 on both sides</u>
180 / 3 = 3 (3x + 72) / 3
60 = 3x + 72
<u>Subtract 72 on both sides</u>
60 - 72 = 3x + 72 - 72
-12 = 3x
<u>Divide 3 on both sides</u>
-12 / 3 = 3x / 3
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<u>Find the angle measure</u>
3x + 72 = 3 (-4) + 72 =
Hope this helps!! :)
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