If the triangle has a right angle, the measure of the third side is 12.8 inches
7 1/12 - 2 3/4
First we have to change mixed numbers to improper fractions
7 1/12 = 7 x 12 + 1 = 85 85/12
2 3/4 = 2 x 4 + 3 = 11 11/4
85/12 - 11/4
Now we need to find the LCD (least common denominator) for 4 and 12
4, 8, 12
12
12 is our LCD, so it becomes our new denominator
85/12 would stay the same because the denominator wasn't changed but for 11/4 our new denominator is 12, so our fraction will change.
11/4 = 33/12
4 goes into 12, 3 times. What you do to the bottom, you do to the top.
3 x 11 = 33
3 x 4 = 12
So, our new fraction is 33/12. Now we subtract
85/12 - 33/12 = 52/12
Now we convert back to a mixed number
52 ÷ 12 = 4 4/12 reduce
4 1/3
Hope this helps.
Answer:
increase
Step-by-step explanation:
First, we need to find the mean of the given data set without any change.
10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264
264 ÷ 8 = <u>33</u>
Now that we have the mean, we can find the mean of the data set with the change of 52.
10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304
304 ÷ 8 = <u>38</u>
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From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.
hope this helps!
Answer:
The answer to your question is the letter B) y = 3x - 3
Step-by-step explanation:
Data
Point = (2, 3)
slope = m = 3
Process
To solve this problem just substitute the values given in the slope-point equation.
Formula
y - y1 = m(x - x1)
x1 = 2 y1 = 3
-Substitution
y - 3 = 3(x - 2)
-Expand
y - 3 = 3x - 6
-Solve for y
y = 3x - 6 + 3
-Result
y = 3x - 3
all the coordinates of the original triangle have been multiplied by 1/2
A (-4,-6) x 1/2 = -2,-3
B (-8,2) * 1/2 = -4,1
C (-2,4) *1/2 = -1,2
so the scale factor is 1/2
Answer is B
