If ∠rst = 65, m∠qst = 2x, and m∠qsr= 3x – 10, what is the value of x?

35

13

65

15

x = 15

Step-by-step explanation:

Given: ∠RST = 65, m∠QST = 2x, and m∠QSR= 3x – 10

∠QST + ∠QSR = ∠RST

Plug in

2x  + 3x – 10 = 65

Combine like terms

5x - 10 = 65

Add 10 to both sides

5x = 75

Divide both sides by 5

x = 15

So x = 15

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc