Answer:
x = 30°.
Step-by-step explanation:
To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.
Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.
There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:
180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.
(x + 10) + (x + 10) = 80
2x + 20 = 80
2x = 60
x = 30°.
Answer:
A.
Step-by-step explanation:
Answer:
The function that can be used in the online shopping club about its monthly revenue is:

Step-by-step explanation:
First, we're gonna take into account the different values we have in the exercise:
- 10,000 members
- $7 per month for membership
- Loses of 400 members by each $1 monthly increase
How the variable
represents the price increase, we can do the formula below:
In this formula, we represent in the first part that by each 1 in the variable
, the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of
. Now we must simplify this function:
We operate the values:
Solve we can:
And organize:
At the end, how
represents the monthly revenue received by the club, we use that variable for our formula:
Answer:
It is 432
Step-by-step explanation:
21 is 84% of
25Convert the percentage (84) into a decimal by dividing it over 100:

Divide 21 over 0.84: