Answer:
45
Step-by-step explanation:
<span>Krystal's rate = 1 floor in 16 min. = 1/16 floors per min.
Working together their rate = 1 floor in 5.76 min. = 1/5.76 floors per min.
We need to determine Perry's rate, so we need to equate their combined rate with the sum of the individual rates.
Let Perry's time = x
In equation form, we can write:
1/16 + 1/x = 1/5.76
Solve for x:
(x+16)/16x = 1/5.76 -> 5.76(x+16) = 16x -> 10.24x = 92.16 -> x = 9
So, Perry would take 9 mins. to do the floor alone.
I hope this helped!
Please Rate & Thank!
Please mark as Brainliest!
Have a wonderful night! : )</span>
Answer:
4.2
Step-by-step explanation:
First I did 54 divided by 3 which is 18. Then I found the square root of 18.
<h3>
Answer: 80 degrees</h3>
============================================================
Explanation:
I'm assuming that segments AD and CD are tangents to the circle.
We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.
By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.
----------------------------
Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.
Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.
We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.
---------------------------
Here's what we have so far for quadrilateral DAEC
- angle A = 90
- angle E = 100
- angle C = 90
- angle D = unknown
Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees
A+E+C+D = 360
90+100+90+D = 360
D+280 = 360
D = 360-280
D = 80
Or a shortcut you can take is to realize that angles E and D are supplementary
E+D = 180
100+D = 180
D = 180-100
D = 80
This only works if AD and CD are tangents.
Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.
Answer:
idk
Step-by-step explanation:
i wish i did