Answer:
x = 6
Step-by-step explanation:
Since, ∠1 ≅ ∠2
By angle bisector theorem,

By substituting the measures of each side in the given ratio of the sides,

12 = x(x - 4)
12 = x² - 4x
x² - 4x - 12 = 0
x² - 6x + 2x - 12 = 0
x( x - 6) + 2(x - 6) = 0
(x + 2)(x - 6) = 0
x = -2, 6
Since, measure of the sides can't be negative, x can not be negative.
Therefore, x = 6 will be the answer.
20:28 plus 9 hours = 05:28
05:28 plus 10 minutes = 05:38
Answer= 05:38
Answer:
26.5 miles.
Step-by-step explanation:
Given: Time for running Boston Marathon= 2.12 h
Speed= 12.5 mph
Distance covered in Boston Marathon
Distance covered= speed x time
Distance covered = 12.5 x 2.12=26.5 miles
∴ Distance covered in the Boston Marathon is <u>26.5 miles.</u>
Answer:
V = 3216.9 
Step-by-step explanation:
Volume of a cylinder = π
h
We are given diameter, 16cm, and half of it is the radius
r = 8cm
h = 19cm
Substitute the values into the equation
V = π *
* 19
V = 3216.9 