Answer: less than
Step-by-step explanation:
We have m(<CBO) = (1/2) · m(<CBE) = (1/2) · ( x + z );
In the same way, m(<BCO) = (1/2) ·( x + y);
m(<BOC) = 180 - [(1/2) · ( x + z ) + (1/2) ·( x + y)] = 180 - (1/2)· ( x + x + y + z );
But, x + y + z = 180;
Then, m(<BOC) = 180 - (1/2)·( x + 180 );
Finally, m(<BOC) = 90 - (1/2)·x;
So, m(<BOC) = 90 - (1/2)·m(<BAC).
Answer:240.1 m
Step-by-step explanation:
We are given the following equation that models the the time it takes to an object to fall to the ground:
Where:
is the time it takes to the object to fall to the ground
is the object's initial height
is the acceleration due gravity
Isolating :
Solving with the given data:
This is the initial height
Answer:
x = 19
Step-by-step explanation:
The two angles form a right angle
A right angle has a measure of 90 degrees
Thus, x + 14 + 3x = 90
^This is the equation we will use to solve for x
x + 14 + 3x = 90
step 1 combine like terms
x + 3x = 4x
we now have 4x + 14 = 90
step 2 subtract 14 from each side
90 - 14 = 76
14 - 14 cancels out
we now have 76 = 4x
step 3 divide each side by 4
4x / 4 = x
76 / 4 = 19
we're left with x = 19
