Answer:
1) angle 1 is 55 degrees
2) angle 2 is 55 degrees
3) angle 3 is 70 degrees
4) angles 1 and 2 are vertical
Step-by-step explanation:
1) angle 1 = 180 - (85 + 40)
2) angle 2 has the same measure of angle 1
3) angle 3 is 180 - (55 + 55)
4) angles 1 and 2 are vertical and congruent
Let the unknown number be x.
x × -7 = 7 (x + -40)
-7x = 7x - 280
-14x = -280
x = 280/14
x = 20
Hope this helps!
Answer:
180=x+139
x=41
90=x+18
x=72
Step-by-step explanation:
the 1st one is a straight line, it is a 180° angle. To find the missing piece, x, you need to do 180-139 and get 41°.
the 2nd one is a right angle (because it has a square at the inner corner), its 90°. To find x, you need to do 90-18 and get 72°
Answer:
(96/5) mph, or 19.2 mph
Step-by-step explanation:
Average speed = (total distance traveled) / (total time elapsed)
Here we need to calculate the two elapsed times (going and returning)
Going: t1 = d/(24 mph)
Returning: t2 = d/(16 mph)
Less time is required for the outward bound trip.
16d + 24d
Total time elapsed: t = t1 + t2 = d/24 + d/16 = ------------------- = (5/48)*d hr
16*24
Thus, the average speed is (total distance traveled) / (total elapsed time)
2d
which here is --------------------- = (96/5) mph, or 19.2 mph
(5/48)d
tan = opposite/adjacent
tan 57° = x/12
Cross multiply.
x = 1.53986496381 * 12
x = 18.5 (rounded to nearest tenth).