Answer:
smaller angle is 50.5 degrees
Step-by-step explanation:
supplementary angles when added together = 180 degrees
(2x + 10) + 6x + 8 = 180
combine like terms
8x + 18 = 180
move the 18 over by subtraction
8x = 162
divide by 8 to get x by itself
x = 20.25
so plug in to find smaller angle
2(20.25) + 10 = 50.5
6(20.25) + 8 = 129.5
The directions of travel are at right angles to each other, so the Pythagorean theorem can be used to find the straight-line distance to the starting point. That distance (d) satisfies ...
d² = 65² +102²
d = √(4225 +10404) = √14629 ≈ 120.95
The appropriate choice is ...
... c. 121 miles
Answer: When you divide 408 by 4 You will get 102.
Step-by-step explanation:
408/4 =102
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Answer:
Frog 1 - 8 feet 3 inches =
8 feet x (1 yard/3 feet) = 2.667 Yards
3 inches x (1 foot /12 inches) x ( 1 yard / 3 feet) = 0.83 yards
So Frog 1 = 2.75 Yard
Frog 2 - 2 yards 36 inches
36 inches x (1 foot /12 inches) x (1 yard / 3 feet) = 1 Yard
So Frog 2 = 3 yards
Frog 2 won
It won by 3 - 2.75 = 0.25 Yards
0.25 yards x (3 feet / 1 yard) = 0.75 feet
0.75 feet x (12 inches /1 foot) = 9 inches
<u>So Frog 2 won by 9 inches</u>
Answer:
y=¾(4x-20)
y=3x-15
Final answer= y - 3(x+12)
=y - 3x-36
=3x-15-3x-36
= -51
