Answer:
x = 18 cm
Step-by-step explanation:
(4x)^2 = 3(4x)(x+6)
16x^2=3(4x)(x+6)
divide both sides by 4x
4x = 3(x+6)
4x=3x+18
x = 18
Draw a line from point Q to point A. Then draw another line segment from point Q to point A'. These lines are marked in red in the attached image (figure 1). Notice we have a 90 degree angle form. To go from A to A', we rotate 90 degrees counterclockwise (green angle in figure 2). Or we can rotate 270 degrees clockwise (gray angle in figure 2).
So that's why the two answers are:
choice B) 90 degrees counterclockwise
choice D) 270 degress clockwise
Side Note: the other points (B, C, and D) will follow a similar rotation path compared to point A. Either rotate those preimage points 90 degrees counterclockwise or 270 degrees clockwise so they match with their respective image points. All rotations are done around point Q.
Answer:
Step-by-step explanation:
Answer:
BAC angle is 61
ABC angle is 107
ACB angle is 12
Step-by-step explanation:
x is equal to 11 so you plug it in
Answer:
Part 1: 30.42
Part 2: 33.598 (33.6)
Step-by-step explanation:
Part 1:
First you're going to start by subtracting 142 from 360 to get 218
Then you're going to divide 218 by 360 to get a rounded .61
Then you're going to multiply that by pi (3.14)
.61 x 3.14 = 1.9
Then you're going to square 4
4 x 4 = 16
Then multiply 1.9 x 16
Your answer should be 30.42
<u>Part 2: </u>
<u>Since it gives you the measurment you need, you're going to skip the subtracting and just divide 107 by 360</u>
<u>This gives you .3 (rounded)</u>
<u>Multiply by pi</u>
<u>.3 x 3.14 = .94</u>
<u>multiply by square of 6 (36)</u>
<u>.94 x 36 = 33.84</u>
<u>if you shove it all into a calculator without rounding inbetween at all you get 33.59</u>