Hello!
To find the value of b, we need to use the Law of Sines. The law states,
sin A / a = sin B / b = sin C / c.
We are given these values: sin A = 55 degrees, side a = 8 cm, sin C = 82 degrees.
Since angle B is not given, we have to find it ourselves. We can find the measure of angle B by subtracting both the given angle values from 180 degrees because every triangle is equal to 180 degrees.
180 - 55 - 82 = 43 | The measure of sin B = 43 degrees.
sin (55) / 8 = sin (43) / b (multiply both sides by b)
0.10239... · b = 0.68199... (divide both sides by 0.10239...)
c = 6.6607...
The measure of side b is equal to about 6.7 centimeters.
3(-1.5) + 4 = -0.5
3(0.5) + 4 = 5.5
Answer:
a=12
Step-by-step explanation:
If you solve for x, you divide by (a-12) to isolate x on the left side:
x = (a+8)/(a-12)
If the numerator is 0 you will be dividing by zero, which invalidates the solution. This will happen for a=12.
