8+10+8+9+10+9= 54
54/6 = 9
Victor scored 9 points on his sixth quiz.
9
Answer:
im really smart (no im not thats why im here)
The coordinates of R are (6,9)
Step-by-step explanation:
Given
S(6,7) = (x2,y2)
R = (x1,y1)
M = (6,8)
The formula for mid-point is:
![M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=M%20%3D%20%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Putting values
![(6,8) = (\frac{x_1+6}{2} , \frac{x_2+7}{2})](https://tex.z-dn.net/?f=%286%2C8%29%20%3D%20%28%5Cfrac%7Bx_1%2B6%7D%7B2%7D%20%2C%20%5Cfrac%7Bx_2%2B7%7D%7B2%7D%29)
Putting respective coordinates equal
![6 = \frac{x_1+6}{2}\\6*2 = x_1+6\\12 = x_1+6\\x_1 = 12-6\\x_1 =6\\AND\\8 = \frac{y_1+7}{2}\\8*2 = y_1+7\\16 = y_1+7\\16-7 = y_1\\y_1 = 9](https://tex.z-dn.net/?f=6%20%3D%20%5Cfrac%7Bx_1%2B6%7D%7B2%7D%5C%5C6%2A2%20%3D%20x_1%2B6%5C%5C12%20%3D%20x_1%2B6%5C%5Cx_1%20%3D%2012-6%5C%5Cx_1%20%3D6%5C%5CAND%5C%5C8%20%3D%20%5Cfrac%7By_1%2B7%7D%7B2%7D%5C%5C8%2A2%20%3D%20y_1%2B7%5C%5C16%20%3D%20y_1%2B7%5C%5C16-7%20%3D%20y_1%5C%5Cy_1%20%3D%209)
Hence,
The coordinates of R are (6,9)
Keywords: Coordinate geometry
Learn more about coordinate geometry at:
#LearnwithBrainly
The measure of ∠STU = ∠VWX = 90°
Hence, ∠STU≅∠VWX.
What is Perpendicular line?
Two lines that meet or intersect each other at right angles is called a Perpendicular line.
Given that;
TU ⊥ ST
WX ⊥ VW
Now,
When TU ⊥ ST
Then by the image,
∠STU = 90°
When, WX ⟂ VW.
Then by image,
∠VWX = 90°
Hence, The measure of ∠STU = ∠VWX = 90° (right angle)
So, ∠STU ≅ ∠VWX.
Learn more about the perpendicular lines visit:
brainly.com/question/1202004
#SPJ1