Quadrilateral A^ prime B^ prime C^ prime D^ prime is the image of quadrilateral ABCD under a rotation about point Q
1 answer:
You might be interested in
Answer:
- QN = 3√7
- OI = √7
Step-by-step explanation:
The ratio of corresponding sides DN and KI is 12 : 4 = 3 : 1. The same ratio applies to altitudes DQ and KO. Since the difference between these altitudes is 6 and the difference between their ratio units is 3-1 = 2, each ratio unit must stand for 6/2 = 3 units of linear measure. That is, ...
DQ = (3 units)·3 = 9 units
KO = (3 units)·1 = 3 units
Then the base lengths QN and OI can be found from the Pythagorean theorem:
KI² = KO² +OI²
4² = 3² +OI²
OI = √(16 -9)
OI = √7
QN = 3·OI = 3√7
The inequality is solved, and then, the graph is given at the end of this question.
------------------
- 87 tickets have already been sold.
- x can still be sold.
- In total, the number of tickets sold is 87 + x.
- The airplane can seat 175 passengers, thus, the total can be at most 175, that is:
- The solution is given on a graph at the end of this answer.
A similar problem is given at brainly.com/question/24132092
