Answer: Width = 24 inches
Step-by-step explanation:
Let W represent the width of the rectangular sign.
The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be
W/2 + 6
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be
W(W/2 + 6) = 432
W²/2 + 6W = 432
Multiplying both sides of the equation by 2, it becomes
W² + 12W = 864
W² + 12W - 864 = 0
W² + 36W - 24W - 864 = 0
W(W + 36) - 24(W + 36) = 0
W - 24 = 0 or W + 36 = 0
W = 24 or W = - 36
Since W cannot be negative, then
W = 24
Answer:
∠ADB ≅ ∠CBD
Step-by-step explanation:
The three arcs at each of D and B identify congruent angles. However, the angles cannot be identified by their vertices alone. The 3-letter designations of the congruent angles are ...
∠ADB ≅ ∠CBD
It is false that the midpoint is in quadrant IV
<h3>How to determine the midpoint location?</h3>
The endpoints are given as:
S (1,4) and T (5,2
The midpoint is
(x, y) = 0.5 *(x1 + x2, y1 + y2)
So, we have:
(x, y) = 0.5 *(1 + 5, 4 + 2)
Evaluate the expression
(x, y) = (3, 3)
The point (3, 3) is located in the first quadrant
Hence, it is false that the midpoint is in quadrant IV
Read more about quadrants at:
brainly.com/question/7196312
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Answer:
Go to photo math thank me later
Step-by-step explanation:
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