Answer: 6
Step-by-step explanation:
From the question, a base angle of isosceles triangle is 30°.We are also informed that one of the legs is 12. The altitude is opposite to the angle having a measure of 30°. The hypoteneous in the right angled triangle which is formed by drawing the altitude is 12. This will be calculated as:
Sin = opposite/hypotenuse
Sin 30°=length of the altitude/12
Note that sin 30° = 0.5
0.5 = length of the altitude/12
length of the altitude = 12 × 0.5
Hence, length of altitude = 6
Answer:
10
Step-by-step explanation:
8+2=10
You want to start by subtracting 5 from both sides to get 2/3x=-8/3 then cross multiply to get whole numbers which is 6=-24x then your gonna want to isolate the variable so divide both sides by -24 to get 6/-24=x then you can simplify to x=-1/4
Using the quadratic formula, we have:

, so our solutions are

and

.
Answer:
<h3>The answer is option D.</h3>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
Slope of the line using points ( 5 , - 1) and
( - 5 , 2) is
m = 2+1/ -5-5 = - 3 / 10
Equation of the line using point ( 5 , - 1) is
y + 1 = -3/10(x - 5)
y = -3/10x + 3/2 - 1
The final answer is
<h3>y = - 3/10x + 1/2</h3>
Hope this helps you.