Every evening jenna empties her pocket and puts pockets and puts her change in a jar. at the end of the week she counts her money. one week she had 50 coins all of them were dimes and quarters. when she added them up she had a total of $10.25 let d=number of dimes and q=numbers of quarters. how many quarters did jenna have?

35 quarters

Step-by-step explanation:

This problem is a system of equations solving problem.

"one week she had 50 coins all of them were dimes and quarters":

We can write the equation as  

"when she added them up she had a total of $10.25":

Since value of quarter is 0.25 dollars and dime is 0.10 dollar and total value is 10.25, we can write the equation as  

To solve both of this equation, we can multiply the first equation by -0.1 and then add the 2 equations and solve for q (shown below):

Hence, Jenna had 35 quarters.

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