Answer:
x=5
Step-by-step explanation:
The right angle opposite is the hypotenuse
The 30° is the opposite
SohCahToa
Soh = Sin because you got Opposite and Hypotenuse (because you're trying to find the side, you'd do the opposite of dividing, which is times)
10×sin(30)=5
Expand
simplify 36 - 4.5x + 36 to -4.5x + 72
simplify 102 - 7.5x - 60 to -7.5x + 42
add 7.5x to both sides
simplify -4.5x + 72 + 7.5x to 3x + 72
subtract 72 from both sides
simplify 42 - 72 to -30
divide both sides by 3
simplify 30/3 to 10
Answer: x = -10
46 -2c
46 decreased by means 46 minus
Twice c would be c times 2
Given that the line passes through the two points (-3,4) and (2,8)
We need to determine the equation of the line.
<u>Slope:</u>
The slope of the line can be determined using the formula,

Substituting the points (-3,4) and (2,8) in the above formula, we get;


Thus, the slope of the line is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the point (-3,4) and
in the above formula, we have;




Thus, the equation of the line is 
You would have to find the height.
To do this, you cut the triangle from the upper vertex to the base to create two new triangles.
Then you use the Law of Cosines. You could use the google calculator for this by searching “law of cosines calculator” and inputting the values, but in case of a test, the formula is a^2 = b^2 + c^2 - 2bc cosA
If you could provide an example of a triangle, I will gladly help you with the steps! Hope this helped!