Answer:
∠J = 115
∠N = 65
∠M = 50
∠K = 130
Step-by-step explanation:
Sum of all the angles = 360
2x + 15 + x + 15 +x + 3x - 20 = 360
Combine like terms
2x + x + x + 3x + 15 + 15 - 20 = 360
7x + 10 = 360
7x = 360 - 10
7x = 350
x = 350/7
x = 50
∠J = 2x + 15 = 2*50 + 15 = 100+15 = 115
∠N = x +15 = 50 +15 = 65
∠M = x = 50
∠K = 3x - 20 = 3*50 - 20 = 150 - 20 = 130
If a point bisects a segment, each line is congruent. So if UT is 4.5 yards TU would be 4.5 yards as well. UV is 9 yards
The regression equation for the data given is y= -8.57 -2.31x
Step-by-step explanation:
The first step is to form a table as shown below;
x y xy x² y²
1 4 4 1 16
2 1 2 4 1
3 5 15 9 25
4 10 40 16 100
5 16 80 25 256
6 19 114 36 361
7 15 105 49 225
28 60 360 140 984 ------sum
A linear regression equation is in the form of y=A+Bx
where ;
x=independent variable
y=dependent variable
n=sample size/number of data points
A and B are constants that describe the y-intercept and the slope of the line
Calculating the constants;
A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²
A=(60)(140) - (28)(360) / 7(140)-(28)²
A=8400 - 10080 /980-784
A= -1680/196
A= - 8.57
B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²
B= 7(360)-(28)(60) / 7(60) - (28)²
B=2520 - 1680 /420-784
B=840/-364
B= -2.31
y=A+Bx
y= -8.57 -2.31x
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Regression equation :brainly.com/question/12280902
Keywords : equations, regression line, data
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9514 1404 393
Answer:
(c) $72
Step-by-step explanation:
Each tile is 8/12 ft = 2/3 ft on a side. Then 8/(2/3) = 12 tiles will fit along each edge of the square area to be tiled. That is ...
12 × 12 = 144
tiles will be needed to cover the area.
The cost of 144 tiles at $0.50 each is ...
(144)($0.50) = $72.00
