Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
Answer:
Step-by-step explanation:
<u>Factorize both numbers:</u>
- 900 = 2*2*3*3*5*5
- 270 = 2*3*3*3*5
<u>Common factors are:</u>
<u>So HCF is:</u>
- HCF(900, 270) = 2*3*3*5 = 90
Answer:
3/-1
Step-by-step explanation:
the equation for slope is y2-y1/x2-x1
I chose the two points (4,2) and (0,-2) because that's where the line meets up
then I put them in the equation getting 4--2/0-2
simplifying getting you 6/-2
you can simplify more giving you 3/-1
Answer:A
Step-by-step explanation: