Answer:
PR= 8
ST=5
Step-by-step explanation:
PQ and PR are congruent so
2x=8
x=4
2*4=8
PR=8
ST and TU are congruent so
5z=2z+3
3z=3
z=1
5*1=5
ST=5
The average rate of change over the interval (-3, 2) is 1
<h3>Average rate of change</h3>
The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation
<h3>Interval</h3>
The interval is given as: (-3,2)
From the graph, we have:
So, the average rate over these intervals is calculated as:

This gives

Substitute known values

Simplify


Hence, the average rate of change is 1
Read more about average rate of change at:
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1 chip is $10
So, for 79 chips,
= 79 x $10
= $790
First, prime factor all of the numbers. Then, collect the factors which appear in all three lists:
28 = 2 x 2 x 7
48 = 2 x 2 x 2 x 2 x 3
64 = 2 x 2 x 2 x 2 x 2 x 2
The only factor which appears in all lists is 2. It appears twice in the first number, so the greatest common factor in the group is 2 x 2 = 4
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Answer:
76 m²
Step-by-step explanation:
The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:
Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
✔️Area of rectangle 1:
Area = L*W
L = 2 m
W = 4 m
Area = 2*4 = 8 m²
✔️Area of rectangle 2:
Area = L*W
L = 4 m
W = 6 - 4 = 2 m
Area = 4*2 = 8 m²
✔️Area of rectangle 3:
Area = L*W
L = 10 m
W = 6 m
Area = 10*6 = 60 m²
✅Area of the figure = 8 + 8 + 60
= 76 m²