Xy is the number
A) x + y = 7
B) 10y + x = 10x + y + 9
collecting terms of equation B
B) -9x + 9y = 9
multiplying A) by 9
A) 9x + 9y = 63 then adding it to equation B)
B) -9x + 9y = 9
18y = 72
y = 4
x = 3
The number is 34
Answer:
As Given △QRS is rotated about point P to △Q′R′S′ .
As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.
Out of the options given
→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.
→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.
are true.
Answer:
4
Step-by-step explanation:
There is 6.74 quarts left in the cooler.
Since 5 of the glasses have a capacity of 0.36 qt, this is a total of 5(0.36) = 1.8 qt. The 8 glasses that have a capacity of 0.52 qt have a total of 8(0.52) = 4.16 qt. This gives a total of 4.16+1.8 = 5.96 qt.
To find the remaining, subtract from 12.7:
12.7-5.96 = 6.74 qt.
If Jake ate 1/6 of the cookies at the party and we know he ate 5 cookies. We must find out how many cookies there are in all.

Now x here represents how many total cookies are at the party.
We have to simply find out what 1 was multiplied by to get 5.
We can do this by dividing.
5 ÷ 1 = 5
So the numerators (the top numbers) were multiplied by 5. We can do the same to the denominators (the bottom numbers) to get the total number of cookies.
Lets multiply.
6 x 5 = 30
So the total number of cookies is 30
Good Luck! <3