Step-by-step explanation:
A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.
The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.
4x + 8 = unknown angle
6x + 3 = unknown angle
(4x + 8) + (6x + 3) = 180
Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.
Solve for x.
(4x + 8) + (6x + 3) = 180
10x + 11 = 180
10x = 169
x = 16.9
Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.
4x + 8
4(16.9) + 8
67.6 + 8 = 75.6 degrees
and the other angle
6x + 3
6(16.9) + 3
101.4 + 3 = 104.4 degrees
Now we know that the smaller angle is 75.6 degrees.
Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.
75.6 + 104.4 = 180 so we know they are supplementary for sure.
Good luck!
Y2-Y1
Over X2-X1 and then there is your slode
Answer: Since you didn't include the picture, I can give you the description so you know how to pick the correct answer.
The third quartile of a data is always shown in a box plot. In the middle of your graph should be a box. The third quartile is the value that goes with the far right edge of the box.
Definition: A conditional statement, symbolized by p q, is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol
.
Consider
p = Every week;
q = Has seven days.
Then

sounds as "If it is an arbitrary week, then it has seven days" or in simplified form "Every week has seven days".