Answer:
54 students
Step-by-step explanation:
First, change the percent to a decimal.
12% = 0.12
Now, multiply the decimal by the total amount of students to find the amount of students that stay after school.
450 × 0.12 = 54
54 students stay after school for Comedy Club.
16, 36, 40
Set the problem up as 4x+9x+10x= 92
26x= 92
X= 4
Plug back in to get the lengths of the sides (shown above)
Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.
Answer:
the slope becomes 3 and the graph moves up 7 units. 2. The slope becomes 5 and the graph moves down 2 units.
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