Answer:
B.
Step-by-step explanation:
So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.
Now we can look at the sides.
The ratio for 27:18 = 3:2
The ratio for 36:24 = 3:2
They check out.
That means that the answer is B. SAS
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
Answer:
12.3 feet of chain is your answer.
Answer:
11th month which is November
Step-by-step explanation:
1860 + 45(m - 1) = 2310
1860 + 45m - 45 = 2310
1815 + 45m = 2310
45m = 495
m = 11
It is 2 inches long this is because of the length of the hands .
