Answer:
Hi there!
Your answer is:
996 students were apart of this survey!
Step-by-step explanation:
3 out of 4 students means that 75% of students prefer the assemblies be held on Friday.
If 75% = 747 students then:
/75
1% = 9.96 students
×100
100% = 996 students
I hope this makes sense!
<h3>
Answer: 2 < x < 7</h3>
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Explanation:
We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.
Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)
In symbols we say
5x - 10 < 25
We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.
Put the two inequalities together and we get 0 < 5x - 10 < 25
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Solve for x
0 < 5x - 10 < 25
0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides
10 < 5x < 35
10/5 < 5x/5 < 35/5 ... dividing all sides by 5
2 < x < 7
We have x between 2 and 7, and not equal to either endpoint.
Answer:
D
Step-by-step explanation:

Which is about .57
Given,
- HK is the perpendicular bisector of GJ. So, <u>GK = KJ</u>.
- GK = 2x + 10
- KJ = 3x - 15
_______________
Find KJ .
_______________
First find the value of x

Now, find the value of KJ.

-> The value of KJ is <u>6</u><u>0</u><u>.</u>
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Hope it helps.
RainbowSalt2222