Answer:
m∠B = 110°
Step-by-step explanation:
We know that,
The sum of the measures of the angles in a pentagon is 540°.
So, we get,
130 + (x-5) + (x+30) + 75 + (x-35) = 540
i.e. 3x + (130+30+75) - (5+35) = 540
i.e. 3x + 235 - 40 = 540
i.e. 3x + 195 = 540
i.e. 3x = 540 - 195
i.e. 3x = 345
i.e. x= 115°
Now, as m∠B = (x-5)° = (115-5)° = 110°
Hence, the measure of angle B is 110°.
Answer:
40 square meters
Step-by-step explanation:
Perimeter means to add up all sides.
area means one side times one side
10 times 10 makes 100 so i am guessing each side is 10
10 + 10 + 10 + 10 = 40
Answer:
5 x^2 y^ (-3) z = ?
Step-by-step explanation:
We know the volume of a rectangular prism is given by
V = l*w*h
V = 2x^2 * y^-2 * ?
We are given the volume
V =10x^4 y^-5 z
Set the two equal
10x^4 y^-5 z = 2x^2 * y^-2 * ?
Divide each side by 2x^2 y^-2
10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2
10x^4 y^-5 z/ 2x^2 y^-2 = ?
Simplifying
10/2 * x^4/x^2 y^-5/ y^-2 z = ?
We know that a^b/ a^c = a^(b-c)
5 x^ (4-2) y^(-5 - -2) z = ?
5 x^2 y^ (-5 +2) z = ?
5 x^2 y^ (-3) z = ?
Answer: She will pay $52.68, including taxes
Step-by-step explanation: One can of tennis ball is $4 and there are no discount on it. Elena bought 3 cans, so:
can = 3 x 4 = 12
One tennis racket is $43 but it has a discount of 15%:
discount = 0.15 x 43 = 6.45
total racket = 43 - 6.45 = 36.55
Elena will have to pay:
pay = 12 + 36.55 = 48.55
She will also have to pay taxes, which are 8.5% over the price she paid:
pay + tax = 48.55 x 0.085 = 4.13
total to pay = 48.55 + 4.13 = 52.68
Buying 3 can of tennins ball and one racket, Elena paid $52.68, including taxes.
Answer:
7 goes into 163 23 times.
Step-by-step explanation:
You can find this answer by dividing 163 and 7 which would lead you to 23, with some remainder.
