Answer:
348 out of 725
Step-by-step explanation:
This is a ratio question, giving us a sample that we can use to extend the number to all students.
12/25 students play a sport so we want the value of x in x/725
So:
12/25 = x/725
Cross-Multiply:
25x = 8700
Divide by 25 to get x:
348
You can also check by dividing these ratios to see if you get the same number. In this case, you do (.48).
Answer:
<h2>x = 0, y = 5, z = 3</h2>
Step-by-step explanation:



Answer: y>-3 and x is all real numbers
Given:
Point F,G,H are midpoints of the sides of the triangle CDE.

To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get




GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get




Now, the perimeter of the triangle CDE is:



Therefore, the perimeter of the triangle CDE is 56 units.
Answer: 
Step-by-step explanation:
We have the following polynomial:

This is a polynomial of the form
. Following this rule to expand it, we have:


Applying common factor
:

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to
. Hence, the final simplification is:
