180 degrees
Vertical angles are opposite angles that share only a vertex. Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.
This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.
Answer:
See attached
Step-by-step explanation:
The graph of a <u>proportional linear relationship</u> is a line that <u>passes through the origin</u> (0, 0).
From inspection of the given tables, the <u>linear equations</u> for each table of points is:
- Table 1: y = x + 1
- Table 2: y = x/2
- Table 3: y = x + 2
- Table 4: y = 2x + 1
The only equation for which y = 0 when x = 0 is y = x/2 → Table 2.
Given points from Table 2:
To <u>graph the line</u>, plot the given points and draw a line through them (see attached).
In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .
First we have to find the relationship between those two angles .
And these angles are vertical opposite angles which are congruent .
Therefore
![m \angle USW = m \angle TSR](https://tex.z-dn.net/?f=m%20%5Cangle%20USW%20%3D%20m%20%5Cangle%20TSR)
![7x-34 = 4x+9 \\ 3x = 43 \\ x = 14.33](https://tex.z-dn.net/?f=7x-34%20%3D%204x%2B9%0A%5C%5C%0A3x%20%3D%2043%0A%5C%5C%0Ax%20%3D%2014.33)
Therefore measurement of angle USW is
![=7(14.33)-34 =66.31 degree](https://tex.z-dn.net/?f=%3D7%2814.33%29-34%20%3D66.31%20degree)
Cos = adjacent / hypotenuse
cos 25° = 4 / AB
cos 25° • AB = 4 / AB • AB
AB cos 25° ÷ cos 25° = 4 ÷ cos 25°
AB = 4/cos 25°
AB = 4.41 (nearest hundredth)