<span>The mean of a set of data can be determined from a box-and-whisker plot; <em>True.
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Have a wonderful day! :)
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we are given
![\sqrt{144}](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D)
Firstly, we will find all possible factors of 144
![144=2\times 2\times 2\times 2\times 3\times 3](https://tex.z-dn.net/?f=144%3D2%5Ctimes%202%5Ctimes%202%5Ctimes%202%5Ctimes%203%5Ctimes%203)
we can also write as
![144=(2\times 2)^2\times (3)^2](https://tex.z-dn.net/?f=144%3D%282%5Ctimes%202%29%5E2%5Ctimes%20%283%29%5E2)
now, we can put exponent to over entire term
![144=(2\times 2\times 3)^2](https://tex.z-dn.net/?f=144%3D%282%5Ctimes%202%5Ctimes%203%29%5E2)
now, we can replace 144
![\sqrt{144}=\sqrt{(2\times 2\times 3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D%3D%5Csqrt%7B%282%5Ctimes%202%5Ctimes%203%29%5E2%7D)
now, sqrt will get cancelled with square
and we get
![\sqrt{144}=(2\times 2\times 3)](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D%3D%282%5Ctimes%202%5Ctimes%203%29)
now, we can simplify it
![\sqrt{144}=(4\times 3)](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D%3D%284%5Ctimes%203%29)
.............Answer
Answer:
![6m - 14](https://tex.z-dn.net/?f=6m%20-%2014)
Step-by-step explanation:
![2(m + 5) + 4(m - 6) \\ = 2m + 10 + 4(m - 6) \\ = 2m + 10 + 4m - 24 \\ = (2m + 4) + (10 - 24) \\ = 6m - 14](https://tex.z-dn.net/?f=2%28m%20%2B%205%29%20%2B%204%28m%20-%206%29%20%5C%5C%20%20%3D%202m%20%2B%2010%20%2B%204%28m%20-%206%29%20%5C%5C%20%20%3D%202m%20%2B%2010%20%2B%204m%20-%2024%20%5C%5C%20%3D%20%20%282m%20%2B%204%29%20%2B%20%2810%20-%2024%29%20%5C%5C%20%20%3D%206m%20-%2014)
<h3>Hope it is helpful.....</h3>
Answer:
x = 30°
y = 115°
Step-by-step explanation:
Given = AB ║ DC
∠A = 2x + 10
∠B = 65
∠C = y
∠D = 3x + 20
( AD is the transversal on the parallel lines AB and DC)
∴ ∠A + ∠D = 180 and ∠B + ∠C = 180
(1) ∠A + ∠D = 180
2x + 10 + 3x + 20 = 180
5x + 30 = 180
5x = 180 - 30 = 150
x = 150÷5
x = 30°
(2) ∠B + ∠C = 180
65 + y = 180
y = 180 - 65 = 115
y = 115°
Answer:
1. x=72, y=, 108
2.x=30, y=72
Step-by-step explanation:
Brainliest please~