Answer:
<h2>m∠EFG = 126°</h2><h2>m∠GFH = 54°</h2>
Step-by-step explanation:
If ∠EFG and ∠GFH are a linear pair, then m∠EFG + m∠GFH = 180°
(look at the picture).
We have
m∠EFG = 5n + 16
m∠GFH = 2n + 10
Substitute:
(5n + 16) + (2n + 10) = 180 <em>combine like terms</em>
(5n + 2n) + (16 + 10) = 180
7n + 26 = 180 <em>subtract 26 from both sides</em>
7n + 26 - 26 = 180 - 26
7n = 154 <em>divide both sides by 7</em>
7n/7 = 154/7
n = 22
Insert the value of n into expressions that specify angle measures:
m∠EFG = 5n + 16 → m∠EFG = 5(22) + 16 = 110 + 16 = 126°
m∠GFH = 2n + 10 → m∠GFH = 2(22) + 10 = 44 + 10 = 54°
Answer:
150m^2
Step-by-step explanation:
Given data
a=8m
b=17m
h=12m
We know that the expression for the area of a trapezoid is given as
Area= (a+b/2)*h
substitute
Area= (8+17/2)*12
Area= 25/2 *12
Area= 12.5*12
Area= 150 m^2
Hence the area is 150m^2
Answer:
x+14y
Step-by-step explanation:
9x+2y-8x+12y
x+14y
Answer:
Step-by-step explanation:
- The first question's slope is 0 because it is a straight horizontal line
- The second question is undefined because it is a straight vertical line
- The third question's slope isn't able to be found with a blank line, but the line is positive because the more it travels right, it also goes up. So the slope of the third is positive
- The fourth is similar to the third as its slope cannot be calculated with a blank line, but the more it moves right, the more it moves down, meaning the slope is negative.
