Answer:
x=6
B = 20
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
55+ 3x+2 = 13x-3
Combine like terms
57+3x = 13x -3
Subtract 3x from each side
57+3x-3x = 13x-3x-3
57 = 10x-3
Add 3 to each side
57+3 = 10x-3+3
60 = 10x
Divide each side by 10
60/10 = 10x/10
6 =x
We also want angle B
B = 3x+2
3*6+2
18+2
20
I believe the answer is 62
Answer:
Vertical Angles
Step-by-step explanation:
Vertical Angles are the angles opposite each other when two lines cross.
For question 1, you need to look at the number and decide on the closest square numbers.
For this example, the two closest square numbers to 160 are 144 (12²) and 169 (13²).
Therefore, we can say that the square root of 160 must be between 12 and 13.
For question 2, when we find the area of a 4-sided shape, we have to multiply the 2 adjacent sides. In this case, as the shape is a square when we multiply the 2 sides it is this same as squaring 1 side. This means that when we find the side from an area of a square you take the square root.
We found in question 1 that 13² is 169, therefore the square root is 13 and the sides must each be 13 ft long.
