Answer:
Step-by-step explanation:
<u>A and B are same side interior angles and hence supplementary:</u>
<u>Substitute values and solve for x:</u>
- 6x - 18 + 14x + 38 = 180
- 20x + 20 = 180
- 20x = 160
- x = 160/20
- x = 8
<u>Find the measure of ∠A:</u>
4 would be the only possible answer bc 7 x 4 = 28 and 28 - 12 = 16.
Answer:

Step-by-step explanation:
Represent the sofa with S and the love seat with L.
So, we have:
--- Total Cost

Required
Determine the value of L
Substitute 2L for S in the first equation.


Divide both sides by 3



<em>Hence, a love seat costs 117.0</em>
<em></em>
<u>Using Graph</u>
See attachment for graph
S is plotted on the y-axis and L is on the x-axis.
The green line represents
while the orange line represents 
When the line of the graph is traced to the x-axis, we have:

Answer:True
Perpendicular lines are lines that intersect at a right angle.
Answer:
The patient should receive 460mg of the drug
Step-by-step explanation
This problem can be explained as a simple rule of three.In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are:
- The dose of the drug
- The weight of the patient.
As the the weight of the patient increases, so will the dose of the drug. This means that the relationship between the measures is direct, and we have the following rule of three:
20 mg - 1 kg
x mg - 23kg
x = 20*23
x = 460mg
The patient should receive 460mg of the drug