A. Which reduction should she use so the picture fills as much of the frame as possible, without being too large?
Find the scale factor to get rom 7 1/3 inches to 5 1/3 inches:
5 1/3 / 7 1/3 = 0.7272
Now rewrite the fraction as decimals:
2/3 = 0.667
¾ = 0.75
5/9 = 0.555
The closest scale that would still fit the frame would be 2/3 because it is under 0.727.
B. How much extra space is there in the frame when she uses the reduction from Part A?
Multiply the original size by the scale factor to use:
7 1/3 x 2/3 = 4 8/9
Now subtract the scaled size from the original size:
7 1/3 – 4 8/9 = 2 4/9 inches extra
C. If she had a machine that could reduce by any amount, so that she could make the reduced picture fit in the frame exactly, what fraction would the reduction be?
Convert the scale from part A to a fraction:
0.72 = 72/99 which reduces to 8/11
Answer:
y = 1/3x + 8
Step-by-step explanation:
*perpendicular means the reciprocal slope of the given line
m = 1/3
y = 1/3x + b
*plug in points with the point-slope equation
10 = 1/3(6) + b
10 = 2 + b
b = 8
*now plug everything into the equation
y = 1/3x + 8
Answer:
a) a + c = 90
d) a + b + c + 30 = 180
e) The angles marked a and b are vertical
f) The angles marked a and c are complementary.
Step-by-step explanation:
A complementary angle is and angle that has a sum of 90 degrees. A vertical angle is 2 angles facing each other, that are completely identical. 180 degrees is the sum of a strait line. 90 degrees is a right angle.
Hope this helps! Have a wonderful rest of your day!
<em>-kiniwih426</em>
C. add 3 to 15 because the sequence is +3 every time
