Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
I think you can use cosine rule if only the lines that form the <52 are equal.
Answer:
See below ~
Step-by-step explanation:
<u>Question 3 : (x, y - 5)</u>
- K' = (-3, 2 - 5) = <u>(-3, -3)</u>
- L' = (1, 4 - 5) = <u>(1, -1)</u>
- M' = (-1, 0 - 5) = <u>(-1, -5)</u>
- N' = (-5, -2 - 5) = <u>(-5, -7)</u>
<u></u>
<u>Question 4 : (x + 4, y + 1)</u>
- D' = (-4 + 4, 3 + 1) = <u>(0, 4)</u>
- E' = (0 + 4, 2 + 1) = <u>(4, 3)</u>
- F' = (-2 + 4, -6 + 1) = <u>(2, -5)</u>
- G' = (-6 + 4, -5 + 1) = <u>(-2, -4)</u>
Answer: 
Step-by-step explanation:
An null hypothesis (
) is a statement of equality which shows that there is no statistical difference between the groups being tested.
An alternative hypothesis (
) is a statement of inequality which shows that there is statistical difference between the groups being tested.
Let 
be the population mean amount of garbage per bin .
Given : A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50.
i.e. 
→ Alternative
Thus , the appropriate null and alternative hypotheses :
