Answer:
x = 7
Step-by-step explanation:
There is a total of 180 degrees in a triangle. To solve you add the other angles and set = to 180 then solve for x
180 = 33 + 90 + 7x +8
172 = 33 + 90 + 7x
139 = 90 +7x
49 = 7x
7 = x
Answer:
The eastbound train travels at 92 mph and the westbound train travels at 96 mph.
Step-by-step explanation:
We know that Velocity = distance / time
If the eastbound train travels at x miles per hour, the westbound train travels at x + 4 mph.
After 3.5 hours, they are 658 miles apart. If we solve for distance the formula given above we have: Distance = velocity x time. We have that the total distance between both trains is 658 miles.
Substituting the values of the problem and solving for x we have

Thus, the eastbound train travels at 92 mph and the westbound train travels at 96 mph.
Answer:
C, 39.3 in²
Step-by-step explanation:
Lets first find the area of the rectangle part of the house.
To find the area of a rectangle its base × height.
So its 6×4=24 in².
Now lets find the area of the top triangle.
Area for a triangle is (base × height)/2.
The height is 3 inches, because its 7-4. While the base is 6 inches.
(6×3)/2=9 in².
To find the area of the half circle the formula, (piR²)/2.
The radius of the circle is 2 because its half of the diamter which is 4.
(pi2²)/2=6.283 in².
Now we just need to add up the area of every part,
24+9+6.283=39.283in²
Answer:
-4(6)+10= -14
Step-by-step explanation:
(-4 x 6) +10
-24+10=-14