If the sum of twice a number and 3 is 15. what is the value of 8x?
1 answer:
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Answer:
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<u>Remove the parentheses:</u>
<u>Combine like terms:</u>
<u>Multiply 3 and 5x = 15x:-</u>
<u>Combine like terms:</u>
<u>Expand: 3x-(2x-1)= x+1</u>
<u>Subtract 1 from both sides:</u>
<u>Add 9x to both sides:</u>
<u>Divide both sides by 10:</u>
<u>________________________________</u>
Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:
Solving for B, we have:
∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.