Answer:
21
Step-by-step explanation:
Answer:



Step-by-step explanation:
Given



Rotation: 90 degrees clockwise
Required
Determine A'B'C'
When a point
is rotated 90 degrees in the clockwise direction, the new coordinates is: 
So, we have:



Becomes



Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
Answer:
15. Area of parallelogram = bh
b = 9m
h = 4m
a = 9*4 = 36m^2
You can also use the rectangle property here.
a = l*b
l = 9
b = 6
a = 9*6 = 54 m^2
Though I would prefer the first one better.
16. Area of triangle = 1/2*bh
b = 17m
h = 3
a = 17*3/2 = 51/2 = 25.5m^2
18. Area of a trapezium = a+b/2*h (a and b are two parallel sides and h the height)
a = 15
b = 7
h = 15
a = 15+7/2*15 = 22/2*15 = 11*15 = 165m^2
19. Area of triangle = 1/2*bh
b = 24
h = 7
a = 24*7/2 = 168/2 = 84
Hope u understood
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