Answer:
See image
Step-by-step explanation:
This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.
So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.
The Add exponents rule and Subtract are 100% correct.
Answer:
84
Step-by-step explanation:
Pretend her first 3 quizzes were all 83 since that was the average. So the 4th was 87.
83+83+83+87 = 336
Divide by the total number of quizzes because they are equally weighted.
336/4 = 84
Her new average score is 84.
Answer:
The 7.14% of her income is the income tax .
Step-by-step explanation:
Formula

As given
A house painter has an annual income of $35,000 and paid $2,500 in income tax.
Here
Part value = $2500
Total value = $35000
Put in the formula



Therefore the 7.14% of her income is the income tax .
Answer:
18, 19, and 20.
Step-by-step explanation:
Consecutive means beside. Numbers 2 and 3 are consecutive integers. Given this question, numbers 6, 8, and 9 could possibly be the answer. However, we don't know this, so let's represent the 6 as x, 7 as x+1. 9 is x+2. We know when these are added together the sum is 57, so 3x+3 should be 57. Now, solve as a normal algebraic question.
Answer:

Step-by-step explanation:
we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal and the corresponding angles are also equal
In this problem

we have

Find the value of TS

substitute




see the attached figure to better understand the problem