It means that those 2 angles are the exact same length
SOLVE FOR X (FIRST BOX) SOLVE FOR Y (SECOND BOX)
Answer:
Step-by-step explanation:
ΔABD ≅ ΔCBD .
So AD = DC
8x - 4 = 3x + 1 {add 4 to both sides}
8x = 3x + 1 + 4
8x = 3x + 5 {subtract 3s from both sides}
8x - 3x= 5
5x = 5 {divide both sides by 5}
x = 5/5
x = 1
Answer:
-3
Step-by-step explanation:
slope (m) = (y2 - y1)/(x2 - x1)
(1, 1) --> 1 = x1, 1 = y1
(2, -2) --> 2 = x2, -2 = y2
(-2 - 1) / (2 - 1) = -3 / 1 = -3
therefore, the slope is -3
hope this helps <3
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
