Answer:
64
Step-by-step explanation:
As the angle in the bottom is shared and the 2 sides are proportional, one is 40 and 80 (times 2) and the other, 25 and 50 (times 2) so the triangles are similar so all we do is multiply 32 by 2 as its the rule. So the answer is 64.
Answer:
429 beats
Step-by-step explanation:
The number of beats is proportional to the time of the song.
Convert the time to seconds to avoid recurring decimals.
4 minutes 12 seconds = 4×60+12=252 seconds
3 minutes 54 seconds = 4×60−6=234
seconds
Set up a direct proportion using equivalent fractions:
x234=462/252
←beats/←seconds
x=234×462/252
x=429 beats
To determine when -8 is a solution, you will replace each variable with -8 and see which statements are true.
A. x + 4, -8 + 4<span> = -4, this is not in between 0 and 1
</span>B. x - 3, -8 - 3 = -11, not between -5 and 2
C. 8x + 7, 8(-8) + 7 = -57 is not between -1 and 1
D. 3x, 3(-8) = -24 is equal to -24, so this one is true
A. <span>5x, 5(-6) = -30 is not less than -35 or greater than 35
</span>B. 3x - 2, 3(-6) - 2 = -20 is not between -5 and 1
C. 3x + 5, 3(-6) + 5 = -13 is between -16 and 11
D. x - 5, -6 - 5 = -11 is not between -8 and 3
Answer:
8
Step-by-step explanation:
48/6 = 8
Division is the opposite of multiplication (times)