Answer:
10.5 in
Step-by-step explanation:
Given
Required
Find length AC
The question is not detailed enough; so, I'll assume that b represents line AC.
Having said that;
We start by multiplying both sides by b
Divide both sides by tan(55)
Find tan(55)
<em>(Approximated)</em>
<em />
Length AC is 10.5
<em>(Solving for x on question - 2x + 3y = 32)</em>
2x + 3y = 32
Step 1: Add -3y to both sides.
2x + 3y + −3y = 32 + −3y
2x = −3y + 32
Step 2: Divide both sides by 2.
=
<u>x = </u><u>⁻y + 16</u><u> </u>
<em>(Solving for y on question - 2x + 3y = 32)</em>
2x + 3y = 32
Step 1: Add -2x to both sides.
2x + 3y + −2x = 32+ −2x
3y = −2x + 32
Step 2: Divide both sides by 3.
=
<u>y = </u><u>x + </u>
<u> </u>
<em>(Solving for x on question - 5x - 4y = -81)</em>
5x − 4y = −81
Step 1: Add 4y to both sides.
5x − 4y + 4y = −81 + 4y
5x = 4y − 81
Step 2: Divide both sides by 5.
=
<u>x = </u><u>y + </u>
<u> </u>
<em>(Solving for y on question - 5x - 4y = -81 )</em>
5x − 4y = −81
Step 1: Add -5x to both sides.
5x − 4y + −5x = −81 + −5x
−4y = −5x − 81
Step 2: Divide both sides by -4.
=
y = x +