1/4 or 25% because...
The probability that Maine picks an apricot is 4/8
The probability that Maine picks an apricot after putting the first apricot back is still 4/8
4/8 x 4/8 = 16/64 = 1/4
Their running paths form the legs of an isosceles right triangle. The hypotenuse of such a triangle (the distance between Steve and Scott) is √2 times the length of one leg. Each has run 10 miles in the hour since they split.
They are running at 10 miles per hour.
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!!!
5.2 is irrational cause the .222 keeps going
Translation refers to a rigid motion or transformation where you move an object from one location to another.
Translations are base on the rule (x,y) -- (x+a, y+b) where the words right and left represent the change in the x-axis, and the words up and down the change in the y-axis.
In this exercise it is asked you to find the coordinates of the preimage of point T', which has the coordinates (-3,4) and is the effect of a translation of 3 units up. As previous said, the words up and down represent a change on the y-axis, meaning that the y-coordinate is the one that should be changed.
If the translation from the preimage to the image was 3 units up, then the preimage can be found by subtracting three units.
Pre-image: (-3,4-3)= (-3,1)
The point that represents the coordinates of the pre-image is (-3,1).