Answer:
Coordinates of Q
Option D is correct option.
Step-by-step explanation:
We are given:
K is the midpoint of PQ
Coordinates of P = (-9,-4)
Coordinates of K = (-1,6)
We need to find coordinates of Q
We will use the formula of midpoint:
We are given midpoint K and the coordinates of P we need to find the coordinates of Q.
Now, we can write
So, we get coordinates of Q
Option D is correct option.
Answer:
x = 26
y = 9
Step-by-step explanation:
(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)
Solve for x
5x - 17 + 3x - 11 = 180
Collect like terms
5x + 3x - 17 - 11 = 180
8x - 28 = 180
Add 28 to both sides
8x = 180 + 28
8x = 208
Divide both sides by 8
x = 208/8
x = 26
Also:
(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)
Plug in the value of x and solve for y
2y + 5 + 90 + 3(26) - 11 = 180
2y + 5 + 90 + 78 - 11 = 180
Collect like terms
2y + 162 = 180
Subtract 162 from both sides
2y = 180 - 162
2y = 18
y = 9 (dividing both sides by 2)
Their common desire to destroy the ambitions of Prussia and Great Britain and to secure a definitive peace between their respective countries led them to seal their alliance with a marriage
Using proportions, it is found that the Pretty Pizza Company should open a new pizza place at any of the North or the South blocks.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The proportion of <u>pizza places per person</u> in each block of the town is given as follows:
- North: 32/(221 x 15) = 0.0096 < 1.
- South: 28/(22 x 150) = 0.0084 < 1.
Both proportions are less than 0.01, hence the Pretty Pizza Company should open a new pizza place at any of the North or the South blocks.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1