Darpana solved the equation s = a+b+c/3 for a. her steps are shown below:
1. multiply by 3: s=a+b+c/3
3s=a+b+c

2. subtract b: 3s-b=a+b+c-b
3s-b=a+c
3. divide by c: 3s-b/c=a
which statement about darpana’s work is true?
in step 1 she needed to divide by 3 rather than multiply.
in step 2 she needed to add b rather than subtract.
in step 3 she needed to subtract c rather than divide.
darpana solved the equation correctly.

The true statement is: In step 3 she needed to subtract c rather than divide.

Step-by-step explanation:

Lets solve our equation step by step.

Step 1. Since 3 is the denominator of the right hand side, we need to multiply both sides of the equation by 3:

Now we can cancel the 3 in the numerator and the 3 in the denominator to get

As you can see, the first statement is false

Step 2. Since we want to isolate the variable , we need to subtract b from both sides of the equation:

The second statement is also false

Step 3. The last thing we to do to isolate (and solve for it) is subtract c from both sides of the equation:

Therefore, the third statement is true: In step 3 she needed to subtract c rather than divide.

Third option (In step 3 she needed to subtract c rather than divide)

Step-by-step explanation:

When she subtract b from both sides of the equation, she obtained:

Therefore, to leave the a alone at one member of the equation, she needs to subtract c from both sides of the equation.

Then, she would obtain the following:

Therefore the answer is the third option: In step 3 she needed to subtract c rather than divide.

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