1Distributive
2Commutative
3Associative
4Commutative
5Associative
An item is regularly priced at $30. It is on sale for 20% off the regular price. How much in dollars) is discounted from the regular price?
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get




Therefore, the value of x is 111.
Let's create this right triangle. We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C. If the ratio is 5:4, then it is A:C. 5+4 = 9. The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10. So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees. The smallest angle, angle C, is 40 degrees.
Answer:
for the third one 2/5 for the fourth one 3/5
Step-by-step explanation:
For the first one, I put 10/25 as a fraction and found the least common multiple, which is 5. I then simplified, and got 2/5.
For the second one, I chose 3/5 because there are 3 friends whose names end in a, and 5 friends whose names do not end in a. My theory was that I took the friends and divided them into 2 groups by most common.
hope this helps if it doesn't I will correct myself :)