Answer:
x = 12, z = 86
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
(12x -58 + 13x - 62 ) = 180°
12 x + 13x -58 - 62 = 180°
25x - 120 = 180
25x = 180 + 120
x = 300/ 25
x = 12
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(z° + 13x - 62) = 180
(z° + 13(12) - 62 )= 180
(z° + 156 - 62 )= 180
(z° + 94 ) = 180
z° = 180 - 94
z = 86
-5 is the adjacent side, -12 is the opposite side, the hypotenuse is 13
Cos = adjacent/hypotenuse
Cos = -5/13
The answer is C.
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)
The answer is 52.
20+52=72
