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:
62.333 inches
Step-by-step explanation:
To find the value of x, or the height of the object, we can set up an equation to solve for the missing variable. This is shown below:
x*3.5*3=561 cubic inches
To solve for X, we divide the 3.5 over to the other side, resulting in x*3 = 187
To get the x by itself, we divide both sides by 3 to remove the 3 from the left side of the equation.
We are left with x = 62.333 inches.
Therefore, the height of the box is 62.333 inches
39. 7 times 5 equals 35 plus 4 equals 39 :)
Answer:
9-16y
Step-by-step explanation:
Answer:
Step-by-step explanation:
R=Q
P=2Q+R/R
P=2R+R/R
P=3R/R
P=3
