After careful consideration i think I have an answer...
So if you notice, These two triangles are a reflection of each other.
Now even though these two triangles equal one another, we still have to consider the fact that they are different. (one side is the opposite of another)
So lets just name all the sides that equal each other.
∠N = ∠Q
NO = QS
QR = NP
PO = SR
∠S = ∠O
∠P = ∠R
(by the way i'm going to be saying {the reflective side} every time i want to refer to the side with the two lines :P) - so bare with me.
So therefore this would mean that ∠P = ∠S would be false, since one angle is from the side that is reflected and the other isn't. Makes sense?
So lets look over at the answers...
A.) PN = SQ
For this answer choice, PN is on the non reflective side, while SQ is on the reflective side. Soooo... This answer choice is wrong.
B.) NO = QR
NO is part of the unreflective side, while QR is part of the reflective side.
Therefore this answer is wrong. They must be part of the same side.
C.) ∠P = ∠S
∠P is on the unreflective side, while angle ∠S is on the reflective side.
There fore this answer is also wrong.
D.) ∠O = ∠S
Now ∠O is on the reflective side while ∠S is on the reflective as well.
There fore this answer is correct .
YOUR ANSWER IS.
D.) ∠O = ∠S
8)
The sum of angles of a triangle is 180º
Therefore:
x+x+98=180
2x=180-98
2x=82
x=82/2
x=41
Answer:
m∠E=41º
m∠F=41º
10)
The sum of angles of a triangle is 180º
Therefore:
3x+4x+5x=180º
12x=180
x=180/12
x=15
3x=3(15)=45
4x=4(15)=60
5x=5(15)=75
Answer:
m∠G=75º
m∠H=60º
m∠J=45º
Answer:
Rectangular what?
Step-by-step explanation:
Answer:
The solution set is (-20/9, -95/9)
Step-by-step explanation:
To solve using the substitution method, start by solving the second equation for y.
1/3y = 7/3x + 5/3
y = 7x + 5
Now that we have this, we can plug it in for y in the first equation. Then we can solve for x.
-4x - 2(7x + 5) = 30
-4x - 14x - 10 = 30
-18x - 10 = 30
-18x = 40
x = -20/9
Now that we have the value of x, we can solve for y by inputting the x value into either equation.
-4x - 2y = 30
-4(-20/9) - 2y = 30
80/9 - 2y = 30
80/9 - 2y = 270/9
-2y = 190/9
y = -95/9
