to find the angle at point E you would take 180-105. which equals 75.
75+55= 130
180-130=50
Angle D= 50 degrees
Angle C= 55 degrees
Angle E= 75 degrees
Step-by-step explanation:
8x + x² - 2y + y² - 64 = 0
(x + 4)² + (y - 1)² - 81 = 0
(x + 4)² + (y - 1)² = 81
Hencr the center is (-4,1) and the radius is 9.
Answer c=5.196
c=sqrt(27)
c=5.196
Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
Answer:
$488
Step-by-step explanation:
16×20=320
8%×2100
0.08×2100
168
320+168=$ 488