Answer:
32, consecutive interior angles are supplementary.
Step-by-step explanation:
We know that the two angles add up to 180, because consecutive interior angles are supplementary. So let's set up an equation equal to 180.
2x + 3x + 20 = 180
Now let's add like terms.
5x + 20 = 180
Now let's subtract 20 from both sides.
5x = 160
Now let's divide both sides by 5.
x = 32
Answer:
D) 
, 
Step-by-step explanation:
The blue boundary line has a y-intercept of 2 and a slope of 2.
It has equation : 
Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is
The blue boundary line passes through the origin and has slope 
.
Its equation is 
Since the boundary line is not solid and the right half-plane is shaded, its inequality is
The correct choice is D.
The solution of the equation is x = 71 / 36.
<h3>How to solve an equation with one variable</h3>
Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:
2 · x + 1 / 3 + x - 1 / 4 = 13 / 2 Given
2 · x + x = 13 / 2 - 1 / 3 - 1 / 4 Compatibility with addition / Existence of additive inverse / Modulative property
3 · x = 71 / 12 Definitions of addition and subtraction / Distributive property
x = 71 / 36 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result
The solution of the equation is x = 71 / 36.
To learn more on equations: brainly.com/question/10413253
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The difference is -10 because
9-10= 1
-1-10= -11
-11-10= -21
common difference means you add and common ratios means you multiply.
hope this helps!
