Which data set has the largest range? A. 55, 57, 59, 60, 61, 49, 48 B. 21, 25, 14, 16, 29, 22, 20 C. 12, 15, 16, 19, 18, 15, 27
irina [24]
Answer:
Step-by-step explanation:
Data D has the largest range.
Data A: 61-48=13
Data B: 29-14=15
Data C:27-12=15
Data D:54-31=23
Answer: D
Step-by-step explanation:
When two triangles are listed as congruent, their corresponding angles are congruent, so when you have triangle EFG and triangle STU are congruent, it the angles E and S are congruent, F and T are congruent, and G and U are congruent, so the answer would be D.
Answer:
-1
Step-by-step explanation:
0.
The x on the bottom will cancel out the x on the top here.
Answer:
-- (a)
-- (b)
--- (c)
-- (d)
Step-by-step explanation:
Given
![a.\ m = \frac{4}{3}](https://tex.z-dn.net/?f=a.%5C%20m%20%3D%20%5Cfrac%7B4%7D%7B3%7D)
![b.\ m = \frac{3}{7}](https://tex.z-dn.net/?f=b.%5C%20m%20%3D%20%5Cfrac%7B3%7D%7B7%7D)
![c.\ m = 4](https://tex.z-dn.net/?f=c.%5C%20m%20%3D%204)
![d.\ m = \frac{1}{3}](https://tex.z-dn.net/?f=d.%5C%20m%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
Required
Determine the slope of a perpendicular line
In geometry, the condition for perpendicularity is:
![m_2 = -\frac{1}{m}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7Bm%7D)
This formula will be applied in solving these questions.
![a.\ m = \frac{4}{3}](https://tex.z-dn.net/?f=a.%5C%20m%20%3D%20%5Cfrac%7B4%7D%7B3%7D)
![m_2 = -\frac{1}{m}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7Bm%7D)
Substitute 4/3 for m
![m_2 = -\frac{1}{4/3}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7B4%2F3%7D)
Express as a proper division
![m_2 = -1/ \frac{4}{3}](https://tex.z-dn.net/?f=m_2%20%3D%20-1%2F%20%5Cfrac%7B4%7D%7B3%7D)
Convert to *
![m_2 = -1* \frac{3}{4}](https://tex.z-dn.net/?f=m_2%20%3D%20-1%2A%20%5Cfrac%7B3%7D%7B4%7D)
![m_2 = -\frac{3}{4}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B3%7D%7B4%7D)
![b.\ m = \frac{3}{7}](https://tex.z-dn.net/?f=b.%5C%20m%20%3D%20%5Cfrac%7B3%7D%7B7%7D)
![m_2 = -\frac{1}{m}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7Bm%7D)
Substitute 3/7 for m
![m_2 = -\frac{1}{3/7}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7B3%2F7%7D)
Express as a proper division
![m_2 = -1/ \frac{3}{7}](https://tex.z-dn.net/?f=m_2%20%3D%20-1%2F%20%5Cfrac%7B3%7D%7B7%7D)
Convert to *
![m_2 = -1* \frac{7}{3}](https://tex.z-dn.net/?f=m_2%20%3D%20-1%2A%20%5Cfrac%7B7%7D%7B3%7D)
![m_2 = -\frac{7}{3}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B7%7D%7B3%7D)
![c.\ m = 4](https://tex.z-dn.net/?f=c.%5C%20m%20%3D%204)
![m_2 = -\frac{1}{m}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7Bm%7D)
Substitute 4 for m
![m_2 = -\frac{1}{4}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7B4%7D)
![d.\ m = \frac{1}{3}](https://tex.z-dn.net/?f=d.%5C%20m%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
![m_2 = -\frac{1}{m}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7Bm%7D)
Substitute 1/3 for m
![m_2 = -\frac{1}{1/3}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B1%7D%7B1%2F3%7D)
Express as a proper division
![m_2 = -1/ \frac{1}{3}](https://tex.z-dn.net/?f=m_2%20%3D%20-1%2F%20%5Cfrac%7B1%7D%7B3%7D)
Convert to *
![m_2 = -1* \frac{3}{1}](https://tex.z-dn.net/?f=m_2%20%3D%20-1%2A%20%5Cfrac%7B3%7D%7B1%7D)
![m_2 = -\frac{3}{1}](https://tex.z-dn.net/?f=m_2%20%3D%20-%5Cfrac%7B3%7D%7B1%7D)
![m_2 = -3](https://tex.z-dn.net/?f=m_2%20%3D%20-3)