Answer:
b = 90
Step-by-step explanation:
Sum the interior angles of the pentagon and equate to 540
Starting from the top and going clockwise
b + b + 45 + 90 + 2b - 90 +
b = 540 ← simplify left side
b + 45 = 540 ( multiply through by 2 to clear the fraction )
11b + 90 = 1080 ( subtract 90 from both sides )
11b = 990 ( divide both sides by 11 )
b = 90
Thus
b + 45 = 90 + 45 = 135
2b - 90 = 2(90) - 90 = 180 - 90 = 90
b =
× 90 = 135
The angle measure from the top clockwise are
90°, 135°, 90°, 90°, 135°
It’s the first answer choice
step-by-step.
x
3
+10=15
Step 1: Simplify both sides of the equation.
1
3
x+10=15
Step 2: Subtract 10 from both sides.
1
3
x+10−10=15−10
1
3
x=5
Step 3: Multiply both sides by 3.
3*(
1
3
x)=(3)*(5)
x=15
Answer:
x=15
If he gets 20% commission and he sold $2580, multiply 2580 * .2 to get what he made
2580*.2 = $516
The sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) in our case:
s(n)=3(1-4^n)/(1-4)
s(n)=-(1-4^n)
s(n)=(4^n)-1 and s=1023
(4^n)-1=1023
4^n=1024
n ln4=ln1024
n=(ln1024)/(ln4)
n=5