Answer:
x = 12
Step-by-step explanation:
The two marked angles where the transversal crosses the parallel lines are alternate interior angles, so are congruent. This fact gives you the relation you need to solve for x.
4x +12 = 60
4x = 48 . . . . . . subtract 12
x = 12 . . . . . divide by 4
7n-22 ≥ 64
1. Move constant to the right.
7n ≥ 64 + 22
2. Combine like terms.
7n ≥ 86
3. Divide 7n by 7 to get n alone.
n ≥ 86
4. Divide 86 by 7.
n ≥ 86 / 7 OR n ≥ 12.29
<span>multiply 100 by 1.609</span>
Answer: (x -4)^2 +(y -7)^2 = 36
Step-by-step explanation: The equation of a circle with radius r and center at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...
(x -4)^2 +(y -7)^2 = 36
X = t +4
y = t^2
Rewrite the first equation:
x = t+4
Subtract 4 from each side:
t = x-4
Replace t in the 2nd equation with the rewritten equation:
y = x-4^2
Rewrite x-4^2 as (x-4)(x-4)
Use FOIL to get y = x^2-8x+16
The answer is D.
