So when your adding and subtracting juss put 6 with 9
This means that everybody answered the same number of items. This means that every data value is equal to the mean. This outcome permits us to say that the sample standard deviation of a data set is zero if and only if all of its values are same or identical.
Answer:
a.true
b.false
c.true
d.true
e.false
Step-by-step explanation:
Answer:
![x=29](https://tex.z-dn.net/?f=x%3D29)
Step-by-step explanation:
Given:
For Δ ABC
m∠A=
°
m∠B=
°
m∠C=
°
To find value of
.
Solution:
For all triangles the sum of all 3 angles = 180°
Thus, we have:
![m\angle A+m\angle B+m\angle C=180\°](https://tex.z-dn.net/?f=m%5Cangle%20A%2Bm%5Cangle%20B%2Bm%5Cangle%20C%3D180%5C%C2%B0)
Plugging the values in degrees.
![3x+8+2x+7+x-9=180](https://tex.z-dn.net/?f=3x%2B8%2B2x%2B7%2Bx-9%3D180)
Combining like terms.
![3x+2x+x+8+7-9=180](https://tex.z-dn.net/?f=3x%2B2x%2Bx%2B8%2B7-9%3D180)
![6x+6=180](https://tex.z-dn.net/?f=6x%2B6%3D180)
Subtracting both sides by 6.
![6x+6-6=180-6](https://tex.z-dn.net/?f=6x%2B6-6%3D180-6)
![6x=174](https://tex.z-dn.net/?f=6x%3D174)
Dividing both sides by 6.
![\frac{6x}{6}=\frac{174}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B6%7D%3D%5Cfrac%7B174%7D%7B6%7D)
∴
(Answer)
A right triangle has the two legs that form an angle of 90°, which means that the two legs are perpendicular.
In order to prove that FGH is a right triangle, you need to calculate the slopes of the lines passing through its vertexes and see if there is a pair of opposite reciprocals:
m = (y₂ - y₁) / (x₂ - x₁)
m(FG) = (-9 - 4) / (5 - 2) = -13/3
m(FH) = (-4 - 4) / (-3 - 2) = 8/5
m(HG) = (-4 -(-9)) / (-3 - 5) = -5/8
Since m(FH) and <span>m(HG) are opposite reciprocals, FH is perpendicuar to HG and FGH is a right triangle.</span>