Answer:
PQ = 5 units
QR = 8 units
Step-by-step explanation:
Given
P(-3, 3)
Q(2, 3)
R(2, -5)
To determine
The length of the segment PQ
The length of the segment QR
Determining the length of the segment PQ
From the figure, it is clear that P(-3, 3) and Q(2, 3) lies on a horizontal line. So, all we need is to count the horizontal units between them to determine the length of the segments P and Q.
so
P(-3, 3), Q(2, 3)
PQ = 2 - (-3)
PQ = 2+3
PQ = 5 units
Therefore, the length of the segment PQ = 5 units
Determining the length of the segment QR
Q(2, 3), R(2, -5)
(x₁, y₁) = (2, 3)
(x₂, y₂) = (2, -5)
The length between the segment QR is:




Apply radical rule: ![\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%2C%5C%3A%5Cquad%20%5Cmathrm%7B%5C%3Aassuming%5C%3A%7Da%5Cge%200)

Therefore, the length between the segment QR is: 8 units
Summary:
PQ = 5 units
QR = 8 units
Answer: C.
Simple random sampling
Step-by-step explanation:
A simple random sample in statistics, is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability for the entire larger set.
Answer:
3 inches
Step-by-step explanation:
4(3/4) <- Beacuse there are 4 weeks and every four weeks it grows that amount.
So that being said, in a month the plant would grow:
12/4=3
So 3 inches every month
Hope it helps!
Wait...are you an army????
Step-by-step explanation:
<h2>SUM OF INTERIOR ANGLES OF A TRIANGLE </h2><h2>180 </h2>
Answer:

Step-by-step explanation:
In any 30-60-90 triangle, the side lengths are in the ratio
, where
is the hypotenuse, or longest side, of the triangle and
is the side opposite to the 30 degree angle.
In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since
is opposite to the 30 degree angle,
Therefore, we have:

Based on our side length ratio
,
is then:
