Answer:
30
Step-by-step explanation:
let EFH = x
Let GFH = y
x + y = 90
x = 2y
Substitute: 2y + y = 90
3y = 90
y = 30
Answer:

Step-by-step explanation:
we know that
The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle
step 1
Find the area of the triangle
The area of the triangle is equal to

we have

To find out the height of the triangle Apply the Pythagorean Theorem

solve for h




<em>Find the area of triangle</em>


step 2
Find the area of rectangle
The area of rectangle is equal to

we have

substitute

step 3
Find the area of the figure
Adds the areas

S^2 + s^2 = 9^2 => 2s^2 = 81 => s^2 = 81/2 => side length s = 9(sqrt(2))/2 = 6.37 cm.
Answer:
x = 1
y = 4
Step-by-step explanation:
5x + 2y = 13
x + 2y = 9
Add both equations.
6x + 4y = 22
Solve for x.
6x = 22 - 4y
x = 22/6 - 4/6y
Put x as 22/6 - 4/6y in the second equation and solve for y.
22/6 - 4/6y + 2y = 9
-4/6y + 2y = 9 - 22/6
4/3y = 16/3
y = 16/3 × 3/4
y = 48/12
y = 4
Put y as 4 in the first equation and solve for x.
5x + 2(4) = 13
5x + 8 = 13
5x = 13 - 8
5x = 5
x = 5/5
x = 1
Since f(x) = -3x + 2, the slope of f(x) is greater than the slope of g(x).
Hence, the answer is (D).