Answer:
x = 13.75
Step-by-step explanation:
a right-angled triangle.
so, we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90 degree angle).
so, in our case
17² = 10² + x²
289 = 100 + x²
189 = x²
x = 13.75
Answer:
Step-by-step explanation:
The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).
You are expected to use this relation to write and solve an equation.
exterior angle = angle D + angle B
(2x +16) = 58 + (x+12)
2x +16 = x +70
x + 16 = 70
x = 54
Then angle ACD is ...
angle ACD = (2x +16)° = (2·54 +16)°
angle ACD = 124°
Answer:
x must be 5
Step-by-step explanation:
Recall that the area formula for a trapezoid is
A = (average of base lengths)(width)
Here we have
17 cm + x
(average of base lengths) = 11 cm = ----------------
2
So 2(11 cm) = 17 cm + x, or
22 cm = 17 cm + x
Then x must be 5.
Answer: X is equal to -3
Step-by-step explanation: I isolated x and then divided both sides by x
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