<em><u>Simplified </u></em><em><u>Recap:</u></em>
PQR and XYR are similar.
PQ: 4 inches (shortest side)
PR: 9 inches
QR: 12 inches (longest side)
<em><u>Solving:</u></em>
Because they are similar triangles, we know that the sides of one triangle are proportional to the ones on the other. Therefore, the smallest side of PQR is proportional to the smallest side of XYZ. Now, we just need to figure out the constant of proportionality , and we can do that by dividing the smallest side of XYZ triangle by the smallest side of PQR.

Now we know that the constant of proportionality is 4. All we have to do now is solve the problem. The question is asking what the longest side of XYZ is, and to find that we just need to multiply the longest side of PQR by our constant of proportionality.

Therefore, our answer is 48.
Answer:
There is a 50.18% probability that they are of the same gender.
Step-by-step explanation:
We have these following percentages:
53% of the students are males.
47% of the students are females.
If two students from this college are selected at random, what is the probability that they are of the same gender?
The probability that each is male is 53%. So the probability of both being males is

The probability that each is female is 47%. So the probability of both being females is

The probabilty that both are the same gender is:

There is a 50.18% probability that they are of the same gender.
-15 26/40=<span>-15.65
-15
18/25=0.72
15.85
so From least to greatest
-15.65, -15, 0.72, and 15.85
</span>
Answer:
She earned $288 this week
Step-by-step explanation:
x = 12
Work = 2(12) + 8
24 + 8 = 32 hours
Earned = (12) - 3 = 9 per hour
32 × 9 = $288
I hope this helps!
To solve such questions we need to know more about expression.
<h2 /><h2>Expression
</h2>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.
<h2 /><h2 /><h2>Given to us,</h2>
![2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-16\sqrt[4]{2y}+13\sqrt[4]{4}-10\sqrt[4]{2y}+35\sqrt[4]{x}-18\sqrt[4]{2y}](https://tex.z-dn.net/?f=2%5Csqrt%5B4%5D%7B16x%7D-2%5Csqrt%5B4%5D%7B2y%7D%2B3%5Csqrt%5B4%5D%7B81x%7D-4%5Csqrt%5B4%5D%7B32y%7D%2B5%5Csqrt%5B4%5D%7Bx%7D-4%5Csqrt%5B4%5D%7B32y%7D%2B5%5Csqrt%5B4%5D%7Bx%7D-16%5Csqrt%5B4%5D%7B2y%7D%2B13%5Csqrt%5B4%5D%7B4%7D-10%5Csqrt%5B4%5D%7B2y%7D%2B35%5Csqrt%5B4%5D%7Bx%7D-18%5Csqrt%5B4%5D%7B2y%7D)
rearranging we get,
![=2\sqrt[4]{16x}+3\sqrt[4]{81x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{4}+35\sqrt[4]{x}-2\sqrt[4]{2y}-4\sqrt[4]{32y}-4\sqrt[4]{32y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}](https://tex.z-dn.net/?f=%3D2%5Csqrt%5B4%5D%7B16x%7D%2B3%5Csqrt%5B4%5D%7B81x%7D%2B5%5Csqrt%5B4%5D%7Bx%7D%2B5%5Csqrt%5B4%5D%7Bx%7D%2B13%5Csqrt%5B4%5D%7B4%7D%2B35%5Csqrt%5B4%5D%7Bx%7D-2%5Csqrt%5B4%5D%7B2y%7D-4%5Csqrt%5B4%5D%7B32y%7D-4%5Csqrt%5B4%5D%7B32y%7D-16%5Csqrt%5B4%5D%7B2y%7D-10%5Csqrt%5B4%5D%7B2y%7D-18%5Csqrt%5B4%5D%7B2y%7D)
we know that,
![\sqrt[4]{81}=3\\\sqrt[4]{16}=2\\\sqrt[4]{32}=2\sqrt[4]{2}\\](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%3D3%5C%5C%5Csqrt%5B4%5D%7B16%7D%3D2%5C%5C%5Csqrt%5B4%5D%7B32%7D%3D2%5Csqrt%5B4%5D%7B2%7D%5C%5C)
therefore,
![=4\sqrt[4]{x}+9\sqrt[4]{x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{x}+35\sqrt[4]{x}-2\sqrt[4]{2y}-8\sqrt[4]{2y}-8\sqrt[4]{2y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}](https://tex.z-dn.net/?f=%3D4%5Csqrt%5B4%5D%7Bx%7D%2B9%5Csqrt%5B4%5D%7Bx%7D%2B5%5Csqrt%5B4%5D%7Bx%7D%2B5%5Csqrt%5B4%5D%7Bx%7D%2B13%5Csqrt%5B4%5D%7Bx%7D%2B35%5Csqrt%5B4%5D%7Bx%7D-2%5Csqrt%5B4%5D%7B2y%7D-8%5Csqrt%5B4%5D%7B2y%7D-8%5Csqrt%5B4%5D%7B2y%7D-16%5Csqrt%5B4%5D%7B2y%7D-10%5Csqrt%5B4%5D%7B2y%7D-18%5Csqrt%5B4%5D%7B2y%7D)
taking
and
as common
=![[(\sqrt[4]{x})(4+9+5+5+13+35)]-[(2+8+8+16+10+18)(\sqrt[4]{2y})]](https://tex.z-dn.net/?f=%5B%28%5Csqrt%5B4%5D%7Bx%7D%29%284%2B9%2B5%2B5%2B13%2B35%29%5D-%5B%282%2B8%2B8%2B16%2B10%2B18%29%28%5Csqrt%5B4%5D%7B2y%7D%29%5D)
Further simplifying
![=71\sqrt[4]{x}-62\sqrt[4]{2y}](https://tex.z-dn.net/?f=%3D71%5Csqrt%5B4%5D%7Bx%7D-62%5Csqrt%5B4%5D%7B2y%7D)
Learn more about the expression:
brainly.com/question/13947055?referrer=searchResults