14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.
14k + 35 = 2•7k + 5•7 = 7 (2k + 5)
(Remember that the distributive property says a (b + c) = ab + ac.)
Answer:Median=7.42
Mean=7.61
Step-by-step explanation:
Answer:
1. 23.8
2. 7.7
Step-by-step explanation:
<u>for the first blank</u>
use sin because x is opposite and 25 is hypotenuse
set up an equation:
sin(72)= (x/25)
multiply both sides by 25:
25(sin(72))= (x/25)25
25(sin(72))= x
multiply 25 by sin(72):
23.8 = x
<u>for the second blank</u>
use cos because x is adjacent and 25 us hypotenuse
set up an equation:
cos(72)= (x/25)
multiply both sides by 25:
25(cos(72))= (x/25)25
25(cos(72))= x
multiply 25 by cos(72):
7.7= x
Answer:
33.3 % (Approx) percent of fish that Tom’s caught of the number of fish his son caught .
25% is the percent of the total amount Tom caught.
Step-by-step explanation:
Formula
Part First
As given
Tom caught 4 fish and his son caught 12 fish.
Here
Part value = 4
Total value = 12
Put in the formula
Percentage = 33.3 % (Approx)
Therefore the 33.3 % (Approx) percent of fish that Tom’s caught of the number of fish his son caught .
Second Part
As given
Tom caught 4 fish and his son caught 12 fish.
Total number of fish caught = 4 + 12
= 16
Part value = 4
Total value = 16
Put in the formula
Percentage = 25%
Therefore the 25% is the percent of the total amount Tom caught.
Answer:
Step-by-step explanation:
The exterior angle is 151 degrees. The theorem states that the sum of its 2 remote interior angles, 5x+3 and 9x-20, will add up to this exterior angle. Therefore,
5x+3+9x-20 = 151 and
14x - 17 = 151 and
14x = 151 + 17
14x = 168 so
x = 12
If you want to find out the measure of each of these angles, just plug in 12 for x and do the math:
5(12) + 3 = 63 and
9(12) - 20 = 88 and
88 + 63 = 151 as it should.
