Answer:
you graph the points on the line
Remark
You need to do some trig to get the final answer. There is no way around it. You can however, solve the first part with the Pythagorean Theorem.
Step One
Find AB
AB^2 = DB^2 + AD^2
AB^2 = 7.5^2 + 4.9^2
AB^2 = 56.25 + 24.01
AB^2 = 80.26
AB = sqrt(80.26)
AB = 8.9588
Step Two
Move to the triangle on your right. Find x
Tan(C)= opposite / adjacent
Tan(55.8) = AB/adjacent
Tan(55.8) = 8.9588/ x Multiply both sides by x
x * tan(55.8) = 8.9588 Divide by tan(55.8)
x = 8.9588/tan(55.8)
x = 6.09
Answer: A
Answer:
The number of child tickets sold was 43 and the number of adult tickets sold was 20
Step-by-step explanation:
Let
x ----> the number of child tickets sold
y ----> the number of adult tickets sold
we know that
-----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (43,20)
see the attached figure
therefore
The number of child tickets sold was 43 and the number of adult tickets sold was 20
Answer:
x = 2
Step-by-step explanation:
Step 1: Convert to math
5x + 1 = 3x + 5
Step 2: Solve for <em>x</em>
- Subtract 4x on both sides: 2x + 1 = 5
- Subtract 1 on both sides: 2x = 4
- Divide both sides by 2: x = 2
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
5(2) + 1 = 3(2) + 5
10 + 1 = 6 + 5
11 = 11
They had 20:2 point problems. They also had 20:5 point problems.
