If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.
AE / PT = AB / PQ
---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.
6 / x = 5 / 12.5
5x = 75
x = 15
Length of PT = 15 cm
Option C
Hope this helps!
The variable S is used to exemplify Sawyers age. Therefore S-6= Sister’s age. 3(S-6) is used to demonstrate that Sawyer is three times as old as his sister. When broken down it is equal to S=3S-18 where you will add 18 to both sides giving you S+18=3S. Then, you will subtract S from both sides giving you 2S=18 making your final answer 9. Sawyer is 9 years old now.
3x-11=17-4x add 4x to both sides
7x-11=17 add 11 to both sides
7x=28 divide both sides by 7
x=4
False; halving is dividing a number by two, not four.
I hope I helped! :)
Answer: C) 4
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Explanation:
Let's isolate t
-3 > -3t + 6
-3+3t > 6
3t > 6+3
3t > 9
t > 9/3
t > 3
This means any value can replace t such that it's larger than 3.
Something like t = 1/3 = 0.33 won't work since it's not larger than 3.
But something like t = 4 would work because it makes t > 3 true.
That's why choice C is the final answer.