The angle x is half the sum of the intercepted arcs, PQ and NO.
... (1/2)(65° + 45°) = 55° = x° = m∠PMQ
Answer:

Step-by-step explanation:
<u>Slope-intercept form of a linear equation:</u>

where:
- m is the slope.
- b is the y-intercept.
<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:



Therefore, the slope of the given equation is -⁵/₇.
If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1. Therefore, their slopes will be negative reciprocals of each other.
Therefore, the slope of the line perpendicular to the given equation is:

<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:



<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:

Learn more about slope-intercept form here:
brainly.com/question/27317293
brainly.com/question/27926846
Using it's concept, it is found that the sample mean package weight for Thursday is of 19 ounces.
<h3>What is the mean of a data-set?</h3>
The mean of a data-set is given by the <u>sum of the observations divided by the number of observations</u>.
For Thursday, the package weights in ounces are given by: {18, 19, 20, 19}.
Hence, the sample mean in ounces is of:
M = (18 + 19 + 20 + 19)/4 = 19.
More can be learned about the mean concept at brainly.com/question/24628525
Im only doing this for. Points so id say probably around at least 5