Answer:
Step-by-step explanation:
<h3>Question 1</h3>
V and W are midpoints of RU and ST ⇒ VW is a midsegment
VW = 1/2(RS + UT) ⇒ RS = 2*VW - UT
<u>Substitute values:</u>
- 2x + 15 = 2(2x + 5) - (6x - 37)
- 2x + 15 = 4x + 10 - 6x + 37
- 2x + 15 = -2x + 47
- 2x + 2x = 37 - 15
- 4x = 22
- x = 5.5
RS = 2x + 15 = 2(5.5) + 15 = 11 + 15 = 26
Question 2
- Trapezoid given with congruent sides, JM = KL
- Angle J and K are congruent, both are (7x + 2)
- Angles M and L are congruent, both are (2x - 14)
<u>J and M are supplementary, so sum to 180°</u>
- 7x + 2 + 25x - 14 = 180
- 32x = 192
- x = 192/32
- x = 6
Answer:
Systematic Sampling
Step-by-step explanation:
Systematic sampling is one of the types of probability sampling method. It is an advanced form of simple random sampling. In this form, from the population of members, sample members are selected randomly. In this random selection, a starting point is fixed. The sample is created when the members are selected from the fixed intervals.
In the given excerpt, systematic sampling method has been used. Here, the sample has been created by selecting every third listed phone member. The interval has been created between in the sample size.
First, you need to figure out how much the boots weigh together. You can do this by subtracting 144.9 from 150.7.
150.7-144.9=5.8
Assuming each boot weights the same, you can divide 5.8 by 2 to find the weight of each boot.
5.8/2=2.9
Each boot weighs 2.9 pounds.
I hope this helps :)
Answer:
Step-by-step explanation:
- 5/6 x 48 =
- 5 x 48/6 =
- 5 x 8 =
- 40