Hello!
Supplementary angles add up to 180. This gives us the system of equations below.
a+b=180
b= 4a+20
Now we plug our b value into the first equation and solve for a.
a+4a+20=180
We combine like terms.
5a+20=180
We subtract 20 from both sides.
5a=160
We divide both sides by 5.
a=32
Now we want to find our angle b. We can plug our a value into the equation.
b=4(32)+20
128+20=148
Therefore, our angle measure is 148°.
I hope this helps!
Answer:
- 2: $23,240
- 3: $23,240
- 4: $23,240
Step-by-step explanation:
You want to know the total sales value of 2, 3, or 4 lots per hectare, when each lot is sold for $23,240 per hectare.
<h3>Sales value</h3>
If lots are sold a the rate of $23,240 per hectare, it does not matter how many lots a hectare is divided into. Each hectare will have a total value of $23,240, regardless of the number of lots.
For example, if the hectare is divided into 10 lots, each will sell for ...
$23,240/10 = $2324.
The total value of those 10 lots is ...
10 × $2324 = $23,240.
Replacing 10 by N gives the same result:
N × ($23,240/N) = $23,240
Total sales values are $23,240 for any number of lots.
Answer: 
Step-by-step explanation:
2(2x) + 1x = 40 or 4x + 1x = 40 is the result of combining by substitution
<em><u>Solution:</u></em>
Given that we have to combine 2y + 1x = 40 and y = 2x using substitution method
The substitution method for solving systems of equations involves expressing one variable in terms of another, thus removing one variable from an equation.
<em><u>Given equations are:</u></em>
2y + 1x = 40 -------- eqn 1
y = 2x ----------- eqn 2
We can substitute eqn 2 in eqn 1
Which means, substitute y = 2x in place of y in eqn 1
2(2x) + 1x = 40
4x + 1x = 40
5x = 40
x = 8
From eqn 2,
y = 2(8)
y = 16
Thus by combining using substitution method we found the solution
