Answer:
1st scenario: 163.3°
2nd scenario: 125.2°
3rd scenario: 142.3°
Step-by-step explanation:
1st scenario: angles 1 and 2 form a linear pair and add up to 180
2nd scenario: angles 1 and 4 are same-side interior and add up to 180
3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3
26 = 3x - 2 - 7x
26 + 2 = -4x
28 / -4 = x
x = -7
Best answer me please!
Answer: B.
Y = 4x
Step-by-step explanation:
Given that the side of a shape is x
The perimeter of the shape is y
Perimeter of a rectangle can be expressed as:
P = 2L + 2W
Where L = length and W = width
But if the shape is a square, and the side of the shape is x, then, the perimeter will be
P = 4x
Where perimeter P = Y
Therefore, perimeter Y will be;
Y = 4x
Therefore, the correct answer is B which is:
Y = 4x
Answer: The measurement of ∠EFG is equal to 70°.
Step-by-step explanation:
Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:
(6x - 10) + 38 = 7x + 18
In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.
(6x - 10) + 38 = 7x + 18
6x + 28 = 7x + 18
We then substract 18 on both sides.
6x + 10 = 7x
We finally substract 6x from both sides in order to have the value of x.
x = 10
Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.
m∠EFG = 6x + 10
m∠EFG = 6(10) + 10
m∠EFG = 60 + 10
m∠EFG = 70
