The statements and Reasons correspond to each other by the numbers listed.
Let C = congruent in place of the congruent symbol. I don't have it on my keyboard.
Statements
1. Side MN C Side ON.
2. LN is C to LN.
3. Angle LNM is C to angle ONL
4. Angle NML is C to angle NOL
5. ML is C to OL
Reasons
1. Given
2. Reflexive Property
3. Definition of angle bisector
4. SAS Postulate
5. Side NL cuts MO in half
The first is going to be, D. & the second question is, C.
Step-by-step explanation:
−2x+5y=−15 and 5x+2y=−6
Rewrite equations:
−2x+5y=−15;5x+2y=−6
Step: Solve−2x+5y=−15for x:
−2x+5y=−15
−2x+5y+−5y=−15+−5y(Add -5y to both sides)
−2x=−5y−15
−2x−2=−5y−15−2(Divide both sides by -2)
x=52y+152
Step: Substitute52y+152forxin5x+2y=−6:
5x+2y=−6
5(52y+152)+2y=−6
292y+752=−6(Simplify both sides of the equation)
292y+752+−752=−6+−752(Add (-75)/2 to both sides)
292y=−872
292y292=−872292(Divide both sides by 29/2)
y=−3
Step: Substitute−3foryinx=52y+152:
x=52y+152
x=52(−3)+152
x=0(Simplify both sides of the equation)
Answer:
x=0 and y=−3
Answer:
Step-by-step explanation:
Interchange x and y: (-6, 8) is the image of (8, -6) after a reflection over y = x.
The hourly rate is 60, so multiply 60 by the number of hours (h) and add the fee:
Answer: 60h + 35
