Answer:
(a, b, c, d) = (101°, 79°, 83°, 97°)
Step-by-step explanation:
∠a is the supplement of the one marked 79°, so is ...
∠a = 180° -79°
∠a = 101°
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∠b is a corresponding angle to the one marked 79°, so is congruent to it.
∠b = 79°
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∠c is a vertical angle with the one marked 83°, so is congruent to it.
∠c = 83°
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∠d is a same-side interior angle between two parallel lines, so is supplementary to ∠c.
∠d = 180° -83°
∠d = 97°
42 ft 13in. that is the answer
Answer:
Step-by-step explanation:
The equation expressing the number y of shopping centers in terms of the number x of years after 1992 will be LINEAR in nature
The standard equation is expressed as;
y = mx+c
m is the slope
c is the intercept
If in 1992, there were 41,984 shopping centers in a certain country and in 2002, there were 48,225 we can express this as coordinate points
(0, 41984) and (10, 48,225)
Get the slope
m = 48,225-41,984/10-0
m = 6241/10
m = 624.1
Get the intercept, substitute m = 624.1 and the point (0,48225) into the formula y = mx+c
48225 = 624.1(0)+c
48225 = 0+c
c = 48225
Get the required equation
y = 624.1x+48225
Let x = first number, and y = second number.
x + y = 40 (1)
x - y = 6.5 (2)
Rearrange (2)
y = x - 6.5 (3)
Sub (3) in (1)
x + (x - 6.5) = 40
2x - 6.5 = 40
2x = 33.5
x = 16.75 (4)
Sub (4) in (1)
16.75 + y =40
y = 23.25
x * y = 16.75 * 13.25 = 221.9375
The product is 221.9375
Answer:
A'C'=AC=3
Step-by-step explanation:
