Start by dividing the isosceles triangle in half along the upper vertex angle (not the congruent base angles). This creates two right triangles. Since you divide the triangle in half along an angle, they both have an equal base angle, and they share a side, they are congruent by ASA. Since the corresponding sides of congruent triangles are equal, the sides opposite the congruent base angles of a triangle must be congruent.

Hope this helps!

8 0

3 years ago

Ms. Novas bought 3 pounds of jelly beans. She kept 8 ounces for her family and gave the rest to her friends. She gave each frien

Yuki888 [10]

Answer:

A = 40/n

Therefore, she gave each friend 40/n ounces of jelly beans.

Step-by-step explanation:

Given;

Total amount of jelly beans To = 3 pounds = 3×16 ounces = 48 ounces

Total amount kept for family Ta = 8 ounces

Total amount given to friends = Ti

Number of friends = n

Amount given to each friend = A

Ti = To - Ta

A = Ti/n = (To-Ta)/n

A = (48 - 8)/n

A = 40/n

Therefore she gave each friend 40/n ounces of jelly beans.

4 0

3 years ago

Read 2 more answers

If a = 12 and 120% of a is equal to 80\% of bthen what is a + b ?

Novosadov [1.4K]

Answer:

The answer is 30

Step-by-step explanation:

First you have to find 120% of a (12).

$\frac{12}{1} \times \frac{120}{100} = 14.4$

Therefore; 14.4 is 80% of b, and we are trying to find 100% of b

$14.4 = 80\% \\ x = 100\%$

we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.

$14.4 \times 100\% = 80\% \times x$

This is the same as saying;

$14.4 \times 1 = x \times \frac{4}{5}$

100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).

so the new equation is: 14.4= 4/5x

We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so. 18+12 = 30