Answer:
Given that one hundred students are asked a survey question as they walk through the front gate at their middle school.
Step-by-step explanation:
This a representative sample of the schools population because the sampling is random and is not biased.
Answer:
The point which is the midpoint is equally spaced from both ends of the line. We know the coordinates of A and we know the coordinates of M, the midpoint.
Step-by-step explanation:
<h3>
Answer: 96 units</h3>
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Explanation:
Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.
Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x
a^2 + b^2 = c^2
(BD)^2 + (CD)^2 = (BC)^2
24^2 + x^2 = 25^2
576 + x^2 = 625
x^2 = 625 - 576
x^2 = 49
x = sqrt(49)
x = 7
Segment CD is 7 units long.
Since ED = 20, this means,
EC = ED + DC
EC = 20 + 7
EC = 27
The perimeter of this trapezoid is
P = sum of all exterior sides
P = AB+BC+CE+EA
P = 20+25+27+24
P = 96 units
Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.
Find the unit rate for each Olivia and Ryan:
2 2/5 km 15 36 km
------------ * ------- = ------------ = 3.6 km/hr (Olivia)
2/3 hr 15 10 hr
4 1/2 km 2 9 km
------------- * --------- = --------- = 3 km/hr (Ryan)
1 1/2 hr 2 3 hr
Olivia walked 0.6 km/hr faster than did Ryan.
