Answer:
Step-by-step explanation:
Remark
An angle bisector sets up a triangle ratio that looks like the following proportion.
3x - 3 5x
====== = ====== Cross multiply
24 44
44*(3x-3) = 24*5x Remove the brackets on the left
132x - 132 = 24*5x Combine the right side
132x - 132 = 120x Add 132 to both sides
132x = 120x + 132 Subtract 120x from both sides
132x- 120x = 132 Combine
12x = 132 Divide by 12
x = 11
Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

Now, using algebra, we can solve for x:



Plugging x back into the equation, we get:

Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
The answer is D. In the function

, A value of 5 would make the denominator 0. This is undefined, so 5 is excluded.
Answer:
The speed of the truck is 42 mph
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
s -----> the speed in miles per hour
d ----> the distance in miles
t ----> the time in hours


step 1
Find out the distance traveled by the car at 7:00 P.M
we have



substitute the values

step 2
Find out the speed of the truck
we know that
At 7:00 P.M the distance is equal to


substitute

