Answer:
x = 7
Step-by-step explanation:
See the attached figure.
As shown: A C D F is a trapezoid and BE is a mid-segment.
The mid-segment of the trapezoid is the average of its bases.
BE = 0.5 ( A F + C D)
Given: CD = 18 , BE = 2x + 10 and A F = 6x - 12
So,
2x + 10 = 0.5 ( 18 + 6x - 12)
Solve for x
2x + 10 = 0.5 (6 + 6x)
2x + 10 = 3 + 3x
10 - 3 = 3x - 2x
∴ x = 7
<u>So, the value of x is 7</u>
Answer:
The angle inscribed in a semicircle is a right angle. The inscribed angle theorem states that the angle θ, inscribed in a circle is half the measure of the central angle of the circle. So, if the given is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle
Answer:
27x +6
Step-by-step explanation:
3(7x+2)+6x
Distribute
21x+6 +6x
Combine like terms
27x +6
Answer:
I would put B
Sorry if it's wrong I would have to know what the test is about to answer this
Step-by-step explanation:
For this case we have the following angle:
theta = (9/5) pi
Having the conversion we have:
theta = ((9/5) pi) * (180 / pi)
Rewriting we have:
theta = (9/5) * (180)
theta = (9/5) * (180)
theta = 324 degrees
Answer:
The angle is equivalent to:
theta = 324 degrees