Answer:
-76 is the remainder
Step-by-step explanation:
hope helps
Answer:
- (1,3) is inside the triangle
Step-by-step explanation:
Orthocenter is the intersection of altitudes.
We'll calculate the slopes of the two sides and their altitudes ad find the intersection.
<h3>Side QR</h3>
- m = (3 - 5)/(4 - (-1)) = -2/5
<u>Perpendicular slope:</u>
<u>Perpendicular line passes through S(-1, -2):</u>
- y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2
<h3>Side RS</h3>
- m = (-2 - 3)/(-1 -4) = -5/-5 = 1
<u>Perpendicular slope:</u>
<u>Perpendicular line passes through Q(-1, 5):</u>
- y - 5 = -(x - (-1)) ⇒ y = -x + 4
The intersection of the two lines is the orthocenter.
<u>Solve the system of equations to get the coordinates of the orthocenter:</u>
- 5/2x + 1/2 = x + 4
- 5x + 1 = -2x + 8
- 7x = 7
- x = 1
<u>Find y-coordinate:</u>
The orthocenter is (1, 3)
If we plot the points, we'll see it is inside the triangle
Answer:
48
Step-by-step explanation:
8 divided by 2 = 4
4 times 12 = 48
Answer:
HOPE THIS HELPS
Step-by-step explanation:
Number of students in Mr.Skinner's class who brought lunch from home if there are 20 students in the class=12
Fraction of students who brought lunch from home in Mr. Skinner's class=
Number of students in Ms. Cho's class who brought lunch from home if there are 21 students in the class=14
Fraction of students who brought lunch from home in Ms. Cho's class=
As Siloni is using two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria.
Number of Congruent sectors in each Spinner=15
So, if we represent students from Mr. Skinner's class who brought lunch from home in Spinner having 15 congruent Sectors =
So, if we represent students from Mrs. Cho's class who brought lunch from home in Spinner having 15 congruent Sectors =
Mr Skinner class +1 = Mr's Cho's Class
So Ms Cho's class =One more sector of the Skinner-class spinner will represent bringing lunch from home.
Option A which is One more sector of the Skinner-class spinner will represent bringing lunch from home represents Ms Cho's Class.