Answer:
∠YXZ = 62°
Step-by-step explanation:
A straight line measures 180 degrees
The angle "8x - 14" PLUS its adjacent angle Z sum up to 180, so we can write:
Z + 8x - 14 = 180
Z = 180 +14 - 8x
Z = 194 - 8x
Sum of 3 angles of a triangle is 180 degrees, thus we can write:
X + Y + Z = 180
3x + 5 + 4x + 194 - 8x = 180
Now, we solve for x:
The measure of ∠YXZ is "3x + 5", we substitute the value of x and find this angle to be:
3x + 5
3(19) + 5
62
Thus,
∠YXZ = 62°
Answer:
(5, -1)
Step-by-step explanation:
Midpoint = (x1 + x2 ÷ 2) , (y1 + y2 ÷ 2)
MP= (7 + 3 ÷ 2), (-5 + 3 ÷ 2)
= (10÷2), (-2÷2)
=(5), (-1)
MP= (5, -1)
The vehicle traveling 60 mph is going 4 times as fast. the brakes must do an amount of work that's equal to the original kinetic energy. the brakes exert the same amount of force no matter what the case is, so the stopping distance will be four times as long for the car going 60 mph compared to the car going 30 mph.
Answer:
It is vertically stretched by a factor of 200 and shifted 10 units up.
Step-by-step explanation:
cool like that
Answer: The result is one half (
)
Step-by-step explanation:
We have the following expression:
Since both fractions have the same denominator, we can just add both numerators and keep the denominator:
Dividing numerator and denominator by 
:
This is the result
