Answer:
m∠B=143°
Step-by-step explanation:
we know that
<u><em>Vertical Angles</em></u> are the angles opposite each other when two lines cross. They are always equal
so
In this problem we have that
m∠A=m∠B ----> by vertical angles
substitute the given values and solve for x

Find the measure of angle B
m∠B=(5x-7)°
substitute the value of x
m∠B=(5(30)-7)°
m∠B=143°
Answer:
The frequency table is attached below.
Step-by-step explanation:
Given the total number of candies in the box = 18
Frequency table is used to list the occurence of a thing or product and it helps to calculate and sort down easily.
<u>Contains caramel</u> <u>Do not contain caramel</u> Total
<u>Contains chocolate</u> 10 2 12
<u>Do not contain </u> 3 3 6
<u>chocolate</u>
Total number of candies as per the frequency tablr = 12 + 6 = 18 which tallies with the given data.
Answer:
Step-by-step explanation:
Amounts spent on Wednesday and Thursday are $4 and $5.
<u>The rate of change over one day is:</u>
b.
0.22(100)=22.0
we have to move the decimal point twice to the right to get a percent!
Formula for volume of a cylinder is

where r is the radius and h is the height
We can set v equal to 112π as we are given that.
We can set r to 7 as we are given the diameter, 14, and the radius is half of that.

Simplify this equation,

Our goal is to to isolate h, as we are trying to find the height.
So divide 49π on both sides,
The π's cancel out and we are left with

or 16/7 centimeters.
Hope this helped! :)