Answer:
X=65°
Step-by-step explanation:
Both angles combined is a right angle as indicated by the small square drawn on it, a right angle is always 90° therefore
(x-15°)+40°=90°
combine like terms
x+25°=90°
subtract 25° from each side
x=65°
Answer:
120 minutes
Explanation:
The film starts at noon (12pm) and takes 120 minutes or 2 hours meaning it will stop and replay at 2:00pm. The documentary is 30 minuets meaning it will finish and replay again at 12:30, 1:00, 1:30 then at 2:00.
Answer:
x = 4y+28
Step-by-step explanation:
x/4 -7 = y
Solve for x
Add 7 to each side
x/4 -7+7 = y+7
x/4 = (y+7)
Multiply each side by 4
x/4*4 = 4(y+7)
x = 4y+28
Answer:
y-coordinate is 5 or -1.
Step-by-step explanation:
Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2 and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).
Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).
The area of ΔABC is 6. So,
9 = 1/2 (b)(h)
where b is the base and h is the height.
so b = 6 and h = AC
Solving this for C gives
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.
If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.
Therefore, y-coordinate is 5 or -1.
Step-by-step explanation:
