AE = AC = 4
m<CAB = 60 (equilateral triangle)
m<CAE = 90 (square)
m<BAE = 150 (= 60 + 90)
Triangle BAE is isosceles since AB = AE;
therefore, m<AEB = m<ABE.
m<AEB + m<ABE + m<BAE = 180
m<AEB + m< ABE + 150 = 180
m<AEB + m<AEB = 30
m<AEB = 15
In triangle ABE, we know AE = AB = 4;
we also know m<BAE = 150, and m<AEB = 15.
We can use the law of sines to find BE.
BE/(sin 150) = 4/(sin 15)
BE = (4 sin 150)/(sin 15)
BE = 7.727
<span>2x + x</span>²<span> + 3x + 5x</span>²<span> - 10x (combine like terms)
6x</span>² + 5x -10x
6x² - 5x
which is the same as
-5x +6x²
Your answer is C
Answer:
48
Step-by-step explanation:
Let p = ticket price of the shoes
p * 3/4 = 36
Multiply each side by 4/3
4/3 *3/4 p = 4/3 *36
p = 48
The ticket price is 48 dollars
The length of the shortest side of the hexagon is; 41.833 inches
<h3>How to find the perimeter of a Polygon?</h3>
Let the length of the shortest side of the hexagon be x. Now, a hexagon has six sides and if the next side is 10 inches longer than the previous side, then the length of the six sides are;
x, x + 10, x + 20, x + 30, x + 40, x + 50
Perimeter is given as 401 inches. Thus;
x + x + 10 + x + 20 + x + 30 + x + 40 + x + 50 = 401
6x + 150 = 401
6x = 401 - 150
6x = 251
x = 251/6
x = 41.833 inches
Read more about Polygon Perimeter at; brainly.com/question/14490532
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