Supplementary angles add up to 180
so (2x + 3) + (3x + 2) = 180
.
<u>Solve x:</u>
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
.
<u>Find the angles:</u>
One angle = (2x + 3) = 2(35) + 3 = 73°
Other angle = (3x + 2) = 3(35) + 2 = 107°
.
Answer: The two angles are 73° and 107°
It's not enough money. they need 14 extra dollars to get all 19 a walking stick.
Answer:
The maximum height of the watermelon is 74 feet.
Step-by-step explanation:
The watermelon reaches its maximum height when its velocity is zero. Mathematically speaking, velocity is the first derivative of the function height, that is:
(1)
Where 
is the velocity, in feet per second.
If we know that 
and 
, then the time associated with maximum height is:
(2)
Now we evaluate the function height at time found in the previous step: ()
The maximum height of the watermelon is 74 feet.
The options are;
A) b + c = 90
B) 90 + c = 180
C) b + c = 180
D) 42 + b = 150
Answer:
C) b + c = 180
Step-by-step explanation:
From angle theorems, we know that sum of angles on a straight line is 180°
Now, c and 42° form a straight line.
Thus;
c + 42 = 180°
c = 180 - 42
c = 138°
Similarly b and c form a straight line and so;
b + c = 180°
From the given options, the only correct one is Option C.
