Answer: x=120°
Step-by-step explanation:
What you are looking for is the value of the exterior angle of the regular polygon.
For a n-sided regular polygon, the external angle is given by the formula 360°/n.
Because the shape in this example is a regular triangle, the value of n is 3.
360°/n
=360°/3
=120°
Therefore, x=120°
Answer:
-12y + 20
Step-by-step explanation:
First, you simplify each term:
apply the distributive property:
4 - 5y - 2 (3.5y) - 2 x -8
Multiply 3.5 by -2:
4 - 5y - 2 (3.5y) - 2 x -8
Multiply -2 by -8:
4 - 5y - 7y +16
Next, we simplify by adding terms:
Add 4 + 16:
-5y - 7y + 20
Subtract 7y from 5y:
-12y + 20
Hence the simplified form is -12y + 20
Answer:
13.8
Step-by-step explanation:
Recall the trigonometric ratios
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
Now lets look back at the question
We are given an angle and its adjacent side length (11) and we need to find the hypotenuse
The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x
( remember that cosine = adjacent over hypotenuse )

step 1 multiply each side by x

now we have 
step 2 divide each side by cos(37)

we're left with x = 13.77439
Our last step would be to round to the nearest tenth
We would get that the answer is 13.8
Area(A)= lw
perimeter(P)= 2w+2l= 34in
length(l)= w+5
width(w)= w
1/2 P= 17= w+l
17= w+(w+5)
17= 2w+5
2w=12
w=6 in
l= w+5
l= 6+5
l=11 in
A= lw= (11)(6)= 66in²
Answer:
Area of rectangle is 66 in².