Answer:
The answer is 9 5/12
Step-by-step explanation:
Convert both to improper fractions, then change the denominator to 12, add them, and change back to Mixed Fraction
Complementary angles are angles that add up to 90 degrees
< DFG + < JKL = 90
x + 5 + x - 9 = 90
2x - 4 = 90
2x = 90 + 4
2x = 94
x = 94/2
x = 47
< DFG = x + 5 = 47 + 5 = 52
< JKL = x - 9 = 47 - 9 = 38
<u>Answer:</u>
<span>C. 32
</span>
<u>Explanation:</u>
Base of larger triangle
= Hypotenuse of smaller triangle
= √(14^2+14^2)
= 14√2
So,
x
= Hypotenuse of larger triangle
= √(25^2+(14√2)^2)
= √(625+392)
= √1017
= √(9 * 113)
= 3 √113
= 31.89
= 32 approximately
So the correct answer is C. 32
Answer:
1. 48 seconds or 0.8 minutes per lap.
2. 1,008 seconds or 16.8 minutes to run 21 laps.
Step-by-step explanation:
1. Turn 4 minutes into seconds which is 240 then divide it by 5 and you'll get 48 seconds per lap. 48/60 to turn it into minutes = 0.8 minutes
2. use 48 seconds and times it by 21 which gets you 1,008 seconds, then divide that by 60 which gets you 16.8 minutes to run 21 laps.