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1 answer:
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Answer:
B) -3
Step-by-step explanation:
1. First you have to write the equation in slope intercept form. To do that, you must have y be alone on one side.
2. move the 3x to the right side with the 5 by subtracting 3x from both sides. Since 3x will cancel on the left, y will be left alone.
3. Now that you're in slope intercept form, you can find the slope easily. The slope will always be the number in front of x. In this case, the number in front of x is -3. Therefore, -3 is your slope!
BC is 10 units and AC is units
Step-by-step explanation:
Let us revise the sine rule
In ΔABC:
- AB is opposite to ∠C
- BC is opposite to ∠A
- AC is opposite to ∠B
Let us use this rule to solve the problem
In ΔABC:
∵ m∠A = 45°
∵ m∠C = 30°
- The sum of measures of the interior angles of a triangle is 180°
∵ m∠A + m∠B + m∠C = 180
∴ 45 + m∠B + 30 = 180
- Add the like terms
∴ m∠B + 75 = 180
- Subtract 75 from both sides
∴ m∠B = 105°
∵
∵ AB =
- Substitute AB and the 3 angles in the rule above
∴
- By using cross multiplication
∴ (BC) × sin(30) = × sin(45)
∵ sin(30) = 0.5 and sin(45) =
∴ 0.5 (BC) = 5
- Divide both sides by 0.5
∴ BC = 10 units
∵
- Substitute AB and the 3 angles in the rule above
∴
- By using cross multiplication
∴ (AC) × sin(30) = × sin(105)
∵ sin(105) =
∴ 0.5 (AC) =
- Divide both sides by 0.5
∴ AC = units
BC is 10 units and AC is units
Learn more:
You can learn more about the sine rule in brainly.com/question/12985572
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