Answer:
13. B. 24 cm²
14. y = 5⅝ (none of the options is correct)
Step-by-step explanation:
13. The figure is a trapezoid
Area of the trapezoid = ½(a + b)h
Where,
a = 3 cm
b = 5 cm
h = 6 cm
Area = ½(3 + 5)6
= ½(8)6
= 4*6
= 24 cm²
14. Area of the triangle = ½*b*h
The area is given to be 45 cm²
base (b) = 16 cm
height (h) = y
Plug in the values and solve for y
45 = ½*16*y
45 = 8y
Divide both sides by 8
45/8 = 8y/8
45/8 = y
5⅝ = y
y = 5⅝ (none of the options is correct)
Answer:
x = -8/b
Step-by-step explanation:
2bx – bx = -8
Combine like terms
bx = -8
Divide by b
bx/b = -8/b
x = -8/b
Answer: 63 degrees.
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
Therefore: 54 + y + y = 180
So 54 + 2y = 180
So 2y = 126
Therefore y = 63 degrees.
Answer:
x=-10
Step-by-step explanation:
6x+4=5x-6
Subtract 5x from each side
6x-5x+4=5x-5x-6
x +4 = -6
subtract 4 from each side
x+4-4 = -6-4
x=-10
