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°.
The statement that is not true is
B. Perpendicular lines never intersect at right angles.
The definition of perpendicular lines is that they will intersect each other at 90 degree angles.
Answer:
(c) x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 4 times a squared
Step-by-step explanation:
The next step is to take the square root of both sides of the equation. It can help to show the intermediate steps.
<h3>Result so far</h3>
The last step shown in the derivation so far is ...

<h3>Next step</h3>
The left side of the above expression can be written as a square, and the right side can be written over one denominator. Then the square root is taken as the next step.

Answer:
With a degree 2 are called quadratic equations.
Hope I Helped