A. C is on the bottom, Bis on the left
Answer:
x = 2.667
Step-by-step explanation:
so first you wanna isolate the x by adding 2 to both sides
3x - 2 = 6 ---> 3x = 8
then divide both sides by 3 to get the x alone
x = 8/3 = 2.667
The width of the rectangle is 15in
Part (A)
We have n = 5 sides, so the measure of any exterior angle of a regular pentagon is E = 360/n = 360/5 = 72
Each interior angle is therefore 180-E = 180-72 = 108 degrees.
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Alternatively, you could use the formula below with n = 5
i = interior angle
i = 180(n-2)/n
i = 180(5-2)/5
i = 180(3)/5
i = 540/5
i = 108
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<h3>Answer: 108 degrees</h3>
====================================================
Part (B)
We're told that CDF is 70 degrees. From part (A) we know that angle CDE is 108 degrees, so this must mean that angle EDF is 108-70 = 38 degrees.
Similarly, angle FEA is 85 degrees, which subtracts from angle AED to get 108 - 85 = 23 degrees. This is the measure of angle DEF.
So far we found
angle EDF = 38
angle DEF = 23
Let's call these x and y for shorthand. Let z be the missing third angle of triangle DFE.
So,
x+y+z = 180
38+23+z = 180
61+z = 180
x = 180-61
x = 119
Interior angle DFE is 119 degrees.
Note how 90 < x < 180 showing we have an obtuse angle. It is not a reflex angle because the statement 180 < x < 360 is false.
So we subtract the value of x from 360
360-x = 360-119 = 241
This is the reflex angle DFE
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<h3>Answer: 241 degrees</h3>
Answer:
78.54 m^2
Step-by-step explanation:
The computation of the area of the circle is shown below:
As we know that
Area of the circle = πr^2
Also
Diameter = 2r
10 = 2r
r = 5
So, the area of the circle is
= 3.14 × 5^2
= 78.54 m^2
