Answer: D) (x + 3)² + (y + 5)² = 16
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r²
where (h, k) = center and r = radius
Given: (h, k) = (-3, -5) r = 4
Equation: (x - (-3))² + (y - (-5))² = 4²
(x + 3)² + (y + 5)² = 16
Answer:
You can be remodeling a pool or maybe a kitchen (like for a island or something)
Step-by-step explanation:
Answer:
4/663
Step-by-step explanation:
There are 4 queens and 4 kings in a deck. Drawing a queen would be 4/52. Drawing a king afterwards with replacing the queen would be 4/51 because you took a queen but didn't replace that one queen card so the deck has only 51 cards left after you drew the queen. Drawing a queen would not affect your chance of drawing a king card, it will only affect the total number of cards left because you didn't replace the card afterwards. 4*4=16;52*51=2652. 16/2652 can be simplified to 4/663 by dividing 4 to both numbers. 16/4=4 and 2652/4=663. The probability of drawing a queen then a king without replacement would be 4/663.
First, you need to know that the total (degrees) of the interior angles is 360 because this is a quadrilateral.
The unnumbered angle is 109 degrees. We know this because the angle labeled 71 degrees and the unnumbered angle are supplementary. So you subtract 180 from 71 to get 109.

To solve for x, we need to realize the other numbers playing into the angles' values. To make solving this easier, I'm gonna assign letters to the angles.
(10x+6) is angle A.
(13x-2) is angle B.
(8x-1) is angle C.
and 109 (the one we solved) is angle D.
We know that the
total of the interior angles is 360, so we can add the 2 from angle B and the 1 from angle C to 360. This is because these numbers are subtracted from the other values.

Now, we have to subtract the 6 from angle A from 363, because the 6 is added to the other values.

Now we have to subtract 109 from 357 because you want to get the x's by themselves. Since you're solving for x.

That leaves you with 248. Now you add all the x's up to get the total number of x's. You have 10x from angle A, 13x from angle B, and 8x from angle C.

You get 31x. To get what x is, you divide 248 by 31.

That equals 8. So now that you know that x equals 8, if you need to find the values of the angles, you just plug in the numbers into the formulas.




Check your work by plugging your answers in and seeing if they add up to 360.

Which they should:)
So...
angle A= 86
angle B=102
angle C=63
angle D=109
and x=8
Hope this helped!!!
Answer: 7:41 am
Step-by-step explanation:
It takes Ebru 13 minutes to bike to school but if she walks it would take her twice at long.
= 13 * 2
= 26 minutes
If she leaves the house at 7:15 , she will arrive at:
= 715 + 26
= 7:41 hours