Answer:
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5y - 3 = 3y + 27
2y = 30
y = 15
m<A= 5(15) - 3 = 75 - 3 = 72
m<B = [360 - 2(72)]/2
m<B = [360 - 144] / 2
m<B = 216 / 2
m<B = 108
Answer:
the other two dimensions are (x + 1) and (x - 6)
Step-by-step explanation:
Given;
Polynomial function as volume of refrigerator = x³ - 3x²- 16x - 12
factor of the function as height of the refrigerator, = x + 2
Divide the polynomial function by the given factor to get the remaining factors, which are the other two dimensions;
x² - 5x - 6
--------------------------------------
x + 2 √ x³ - 3x²- 16x - 12
- (x³ + 2x²)
------------------------------
-5x² - 16x - 12
- (-5x² - 10x)
-------------------------------
-6x - 12
- (-6x - 12)
--------------------------------------
0
Factorize the quotient ( x² - 5x - 6);
x² - 5x - 6 = x² + x -6x - 6
= x (x + 1) - 6( x + 1)
= (x + 1) (x - 6)
Thus, the other two dimensions are (x + 1) and (x - 6)
1. 2x + 50 = 100
subtract 50 on both sides and then divide by 2.
x = 25
180 - 100 = 80
m
2. 7x - 4 = 87
add 4 on both sides and divide by 7.
x = 13
180 - 87 = 93
m
3. 5x - 2 = 38
add both sides by 2 and divide by 5.
x = 8
180 - 38 = 142
m
4. 14 + 6x = 134
subtract both sides by 14 and divide by 6.
x = 20
180 - 134 = 46
m
5. x = 53
m
6. x = 14
m
Answer:
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Step-by-step explanation:
I
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