The solution to the system of equation is as follows:
x = 3
y = 11
<h3>How to solve the system of equation?</h3>
y = x + 8
y = 3x + 2
Using substitution method,
3x + 2 = x + 8
subtract x from both sides
3x - x + 2 = x - x + 8
2x + 2 = 8
subtract 2 from both sides
2x + 2 - 2 = 8 - 2
2x = 6
divide both sides by 2
2x / 2 = 6 / 2
x = 3
y = 3 + 8 = 11
y = 11
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Answer:
sin A = 3/5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side/ hypotenuse
sin A = 3/5
Answer:
Social Security: $9.63
Step-by-step explanation:
Number of students voting to Jisoo,
34 × 14 / 17 = 28
No. of students who did not vote = 2
No. of students voting to Rowan = 34 - 28 - 2 = 4 students
4 students choose Rowan as their class monitor.
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Using the law of sines,
sin80°/3.1 = sin∠QSR/2.4
∠QSR = sin^-1(2.4sin80°/3.1)
≈ 49.679°
∠SQR = 180° - 80° - 49.679° (angles in a triangle)
= 50.321°
sin50.321°/RS = sin80°/3.1
RS = (3.1sin50.321°/sin80°)
= 2.4 units (nearest tenth)
The length of line RS is 2.4 units.