Question 1:This is a 45-45-90 right triangle. If the leg length is

, then the hypotenuse length will be

.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get

. Thus, the last choice is your answer.
Question 2:This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of

.
Then, the longer leg will have a length of

.
Also, the hypotenuse will have a length of

This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
Parallel lines need the same slope, and for y = 1/2x + 4, it is 1/2.
Let's solve for b.
2 = 1/2(-6) + b
2 = -3 + b
Add 3 on both sides.
5 = b
y = 1/2x + 5
Answer:
c= 0 m=6
Step-by-step explanation:
0x2= 0
3x6=18
18+0=18$
Given: Different statement
To Determine: Which of the statement would give a valid conclusion
Solution
Please note that the statement must be a true representation of the population
Answer:
B. y + 2 = -2(x - 4)
Step-by-step explanation:
First, find the slope (m) of the line using two points in the line, (3, 0) and (4, -2):

Slope (m) = -2.
Next, substitute (a, b) = (4, -2) and m = -2 into y - b = m(x - a)
Thus:
y - (-2) = -2(x - 4)
y + 2 = -2(x - 4)