Answer:
33.75 miles in 45 minutes,
45 miles in an hour
Step-by-step explanation:
45 minutes: 2 1/3= 7/3 ---> 7/3*3=7,
1 3/4= 7/4 ---> 7/4*3=5.25
car travels 5.25 miles for every 7 minutes,
45/7*5.25= 33.75 miles
1 hour (60 minutes):
using that the car travels 5.25 miles for every 7 minutes,
60/7*5.25= 45 miles
Hope that makes sense!
.444444 divided by 3/8 = 0.01666666666
9514 1404 393
Answer:
132°
Step-by-step explanation:
Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.
Angle ZXQ is vertical to ∠x, so is the same measure.
Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...
∠YQX = 180° -51° -57° = 72°
This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...
∠z = 72° +60°
∠z = 132°
_____
<em>Additional comment</em>
The relations we used are ...
- vertical angles are congruent
- sum of angles in a triangle is 180°
- an exterior angle is equal to the sum of the remote interior angles
Answer:
d
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
f(x) - g(x)
= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute parenthesis by - 1
= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms
= - x³ - 3x² + 2x + 4 → d
