First you need to find the sum of all the interior angles using the formula (n-2)*180, where n is the number of sides.
There are 6 sides to this figure so the interior angles need to equal (6-2)*180 = 4*180 = 720.
Now add all the given angles together: 2x + 3x + 3x + 3x +3x +2x = 16x
Now we know 16X = 720
Find X by dividing both sides by 16:
X = 720 / 16
X = 45
Now we know X, so to find E, replace X with 45 and multiply by 3:
3X = 3(45) = 135.
E = 135. The answer is D.
∠CAE = 120°
∠CAD = 60°
∠BAE = 180°
∠DEC = 30°
We start out with the fact that points C and D split the semicircle into 3 sections. This means that ∠BAC, ∠CAD and ∠DAE are all 60° (180/3 = 60).
Since it forms a straight line, ∠BAE is 180°.
Since it is formed by ∠CAD and ∠DAE, ∠CAE = 60+60 = 120°.
We know that an inscribed angle is 1/2 of the corresponding arc; since CD is 1/3 of the circle, it is 1/3(180) = 60; and this means that ∠DEC = 30°.
The Average test score start = 100%
It increases by 10%:
100% = 1
10% = 0.10
1 x 0.10 = 0.1
1 + 0.1 = 1.1
It increases by another 15%
1.1 x 0.15 = 0.165
1.1 + 0.165 = 1.265
Remember to move the place value digit to the right two spaces to make it a percentage
126.5% increase is your answer
hope this helps
Answer:
81.63
Step-by-step explanation:
40: 49*100 =
(40*100): 49 =
4000: 49 = 81.63