First pic ; they are complementary angles , so C !!
second pic ; both angles are supplementary angles !! as sum is 180° !!
Answer: 8√3
<u>Step-by-step explanation:</u>
ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,
VW = b
XW = b√3
XV = 2b
Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,
24 = b√3

= b
= b
= b
8√3 = b
We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3
The equation of the line would be y = (1/2)x.
To find the equation of a line that is reflected through the line y = x, we just switch the x and y. Then, solve for y.
y = 2x
x = 2y
0.5x = y
Step-by-step explanation:
We have that point A is at 3.
This is 3 units to the right of 0 on the number line.
The point that is opposite of A should be 3 units to the left of 0.
That point will be at -3.
Therefore you have to choose the point that is on -3.
It should be similar to one in the attachment.
Carla = 5 years old
Jim = 2 years old
Peter = 15 years old
(Peter was 14 years old one year ago)
5+2=7
7x2=14 (14 is the age from one year ago meaning 15 is the current age)
15-2=13