Answer:
128.57 degrees per each interior angle
Step-by-step explanation:
For interior angles of regular polygons, all you have to do is add 180 degrees to the sum for each side added. For example, from triangle to quadrilateral, you would do 180 + 180 to get 360. Then from quadrilateral to pentagon, you would do 360 + 180 = 540. Do that all the way up to a heptagon and you get a sum of 900 degrees. 900 divided by seven angles will get you <u>128.57 degrees per interior angle.</u>
Notice, is really the same. All we do is, "insert one function into the other".
so, a way to do it is, get the value of the first one, then insert that output into the second.
K/21=15
multiply 21 by 15
equals 315
k= 315
check answer: 315 divided by 21 equals 15!
Answer:
The value of x is 20.
Step-by-step explanation:
Given that
Number of songs Marcus has = 10x+8
Number of songs Lara has = 15x-92
It is also given that they have the same number of songs that means both the expressions should be equal.
Putting both equal

This is a linear equation in one variable which can be solved using properties of equality
Subtracting 10 from both sides

Adding 92 on both sides

Dividing both sides by 5

Hence,
The value of x is 20.
Answer:

Step-by-step explanation:
The area of sector of a circle (in radians) is:

Where
r is the radius
is the angle of the sector
We know the angle but we need the radius.
We are given the total circle's area is
, putting in area of circle formula, we find the radius:

Now, using the values, we find the area of the sector:

Area of sector is 