Answer:
they are technically congruent due to same angles n same or equal sides
Answer:
2r (1 + √3)
Step-by-step explanation:
Circle O₁ is tangent to AB. Let's call the point of intersection point D. If we draw a radius from the center O₁ to D, we know this forms a right angle.
△ABC is an equilateral triangle, so we know m∠A = 60°. If we draw a line from A to O₁, we know that bisects the angle, so m∠DAO₁ = 30°.
So △DAO₁ is a 30-60-90 triangle. We can find the length AD:
AD = r √3
Now on the other side, circle O₃ is tangent to AB. Let's call the point of intersection point E. We know it's the same triangle we found earlier, so:
EB = r √3
And finally, we can draw a rectangle connecting O₁, O₃, E, and D. The distance between O₁ and O₃ is 2r, so:
DE = 2r.
Therefore:
AB = r√3 + 2r + r√3
AB = 2r√3 + 2r
AB = 2r (1 + √3)
Here's a graph showing the steps. Hopefully this helps, let me know if you have questions!
desmos.com/calculator/hgaonfzxsm
2,2,2,2,3,5,7,9,9,10,11,12,18 find the median
Natasha2012 [34]
Answer:
median = 7
Step-by-step explanation:
The median is the middle value of the data set arranged in ascending order
2, 2, 2, 2, 3, 5, 7, 9, 9, 10, 11, 12, 18
↑ middle value
median = 7
Answer: 3 hours
Step-by-step explanation:
From the question, we are informed that WHUR Radio uses 1/5 of its of its 10 hours of daytime broadcast for commercial and 1/2 for music.
Hours used for commercial:
= 1/5 × 10
= 2 hours
Hours used for music:
= 1/2 × 10
= 5 hours
Hours left for news will be:
= 10 hours - 2 hours - 5 hours
= 3 hours
Answer:
-84-12i
Step-by-step explanation:
The one you have is the answer :)
