Given : Angle < CEB is bisected by EF.
< CEF = 7x +31.
< FEB = 10x-3.
We need to find the values of x and measure of < FEB, < CEF and < CEB.
Solution: Angle < CEB is bisected into two angles < FEB and < CEF.
Therefore, < FEB = < CEF.
Substituting the values of < FEB and < CEF, we get
10x -3 = 7x +31
Adding 3 on both sides, we get
10x -3+3 = 7x +31+3.
10x = 7x + 34
Subtracting 7x from both sides, we get
10x-7x = 7x-7x +34.
3x = 34.
Dividing both sides by 3, we get
x= 11.33.
Plugging value of x=11.33 in < CEF = 7x +31.
We get
< CEF = 7(11.33) +31 = 79.33+31 = 110.33.
< FEB = < CEF = 110.33 approximately
< CEB = < FEB + < CEF = 110.33 +110.33 = 220.66 approximately
False. The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
Thank you for posting your question here at brainly. If point B on the pre-image lies at (3, 4), the are the coordinates of B'' on the final is (5, -6). Below is the solutions, I hope the answer helps.
rx-axis ◦ T2,2 (3,4)
<span>= rx-axis ( T2,2 (3,4) ) </span>
<span>= rx-axis ( 5,6 ) </span>
= (5, -6)
Taking the upward direction to be positive, the cannonball's height
in the air at time
is given by

where
is the magnitude of the acceleration due to gravity, 10 m/s^2, and
is the height of the building from which the ball is being thrown.
At the moment the cannonball reaches its maximum height of 30 m, its velocity at that time is 0, so that

Substitute this into the height equation above, and let
, for which we have
:

Solve for
: (units omitted for brevity; we know that
should be given in m)






