From the given diagram, the following statements are true:
AB = BC
3y = 5y - 22
3y - 5y = -22
-2y = -22
y = 11
Similarly, m<DBE = 50 degrees
m<BED = 90 - m<DBE
m<BED = 90 - 50
m<BED = 40 degrees
Since BE = BC = 3y
BE = BC = 3(11) = 33
Also, 7x - 2 = 40
7x = 40 + 2
7x = 42
x = 6
Get the measure of m<BEA
m<BEA = 7x - 2
m<BEA = 7(6) - 2
m<BEA = 40 degrees
Learn more on angles here: brainly.com/question/16281260
Answer:
0.8660
Step-by-step explanation:
cosine theta = -1/2
theta = cosinearctan(-0.5)
theta = 120
sine4theta = sine 4(120)
= sine480
= 0.8660
<span>Even though you have no choices listed:
Each Exterior Angle = Each Central Angle = (360 degrees) ÷ (Number of Sides)
</span>Each Exterior Angle = <span>(360 degrees) ÷ (Number of Sides)
</span><span>(Number of Sides) = 360 / 36
</span><span>Number of Sides = 10
a 10-sided polygon is a decagon
</span>
Answer:

Step-by-step explanation:
Using the Pythagorean Theorem, if you take 8 and square it, you get 64.
You then take 5 and square it giving you 25.
add the 64 and 25 to get you 89 = x squared.
Then take the square roots of x. (Keep in mind, what you do to one side must be done to the other.)
Because 89 is not a perfect square, you can it it as the square root of 89.
Equilateral
equi means equal
lateral means sides
all sides are equal
triangle has 3 sides
perimiter=side1+side2+side3
side1=side2=side3
area=1/2 times base times height
base=side
draw a line down the middle of te tiangle so you get 2 right triangles side by side
1/2base is one leg
base is hypotonuse
height is unknown
equilateral means that it is a 30-60-90 triangle with hypotonuse equal to 2x, height=x√3, bottom is x
1/2 times base times height=1959
1/2 times x times x√3=1959
multiply both sides by 2
(x^2)√3=3918
divide both sides by √3
x^2=3918/√3
square root both sides
x=47.5611
side=hypotonuse=2x
2x=2*47.5611
side=95.12222
legnth of each side is

cm or about 95.12222 cm