I’m not gonna lie. I’m just answering so I could upload my question
Answer:
Option A. x = 8
Step-by-step explanation:
Please see attached photo.
From the attached photo,
we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:
(√80)² = 8² + y²
80 = 64 + y²
Collect like terms
80 – 64 = y²
16 = y²
Take the square root of both side
y = √16
y = 4
Finally, we shall determine the value of x. This can be obtained as follow:
From the attached photo,
x = 2y
but:
y = 4
Therefore,
x = 2y
x = 2 × 4
x = 8
Answer:
x = 70°
Step-by-step explanation:
Clockwise from top, call the three tangent points A, B, and C. Central angle AXC is the supplement of the marked external angle, so is 140°. Arc AB is bisected by the upper ray of angle x; and arc BC is bisected by the lower ray of angle x. That is to say x is half the measure of arc AC, so is 70°.
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Attached is the output of a geometry program. The angle at lower left is 40° as in the given figure. The central angle α (70°) remains the same as tangent point C is moved around, which is to say that the measure of the angle α does not depend on the dimensions of the triangle containing α. It just depends on the fact that the triangle is tangent to the circle.
Answer:
x = 3/2
Step-by-step explanation:
(2x + 3)2 – 4(2x + 3) - 12 = 0
Simplify the equation then isolate for x.
Distribute over brackets:
(4x + 6) – (8x + 12) - 12 = 0
Combine like terms:
4x + 6 – 8x + 12 - 12 = 0
6 - 4x = 0
Isolate x:
6 = 4x
6/4 = x
Reduce the fraction:
6/4 = x <= divide top and bottom by "scale factor" of 2
3/2 = x
x = 3/2 <= having x on the left side is standard