The opposite angles of a cyclic quadrilateral add up to 180 degrees , so
2x + 3 + 4x + 3 = 180
6x = 180 - 6
6x = 174
x = 29
so m<C = 2(29) + 1 = 59 degrees
Answer: The length is 12 feet and the width is 4 feet.
Step-by-step explanation:
Let L represent the length of the bedroom closet.
Let W represent the width of the bedroom closet..
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the bedroom closet is 32 ft. This means that
2(L + W) = 32
Dividing through by 2, it becomes
L + W = 32/2
L + W = 16
The area of the bedroom closet is 48 ft². This means that
LW = 48 - - - - - - - -- - - - - - 1
Substituting L = 16 - W into equation 1, it becomes
W(16 - W) = 48
16W - W² = 48
W² - 16W + 48 = 0
W² - 12W - 4W + 48 = 0
W(W - 12) - 4(W - 12) = 0
W - 12 = 0 or W - 4 = 0
W = 12 or W = 4
L = 16 - 4 = 12
Answer:
1.) $1.07
2.) $2.25
3.) $14.20
Step-by-step explanation:
1.) Toonie = 2 CAD
CAD = USD $1.57
$1.57 - $0.50 = $1.07 (USD)
2.) $2.75 - $5 = $2.25 (USD)
3.) $20 x 4 = 80
$80 - $65.80 = $14.20 (USD)
Hope this helped!
Answer:
The rock splashes down when h(t) = 0. Set h(t) = 0 and solve for t using quadratic formula.
0 = − 4.9t^2 + 178t + 325
t = 38.07, -1.74
(Throw away the negative answer, since time can't be negative.)
t = 38.07 sec
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Answer:
12 years
Step-by-step explanation:
T + 5 = A
Therefore T =A - 5
In three years T = 3+ (A-5)
thus T = A - 2
Also in three years T = 2/3 (A+3)
Equating the two
A -2 = 2/3 (A+3)
3A - 6 = 2A + 6
3A - 2A = 6 + 6
Therefore A = 12
