The first one -8-13-18
calculate it
Well we know that the perimeters are equal so:
Psquare = Prectangle
we know perimeter for square is the 4 sides of same lengths added up or 4*s
the perimeter of a rectangle is the then4 sides with 2 being equal added up so 2*L + 2*W
we know that a square side equAls s and it says that s=8x. So:
Psqu = 4 * (8x) (substitute 8x for s)
we know that the rectangle L =10x + 8 and W =10. So
Prect = 2 *(10x + 8) + 2 * (10)
we know :
Prect = Psqu so:
4 * (8x) =2 *(10x + 8) + 2 * (10)
32x = 20x + 16 + 20
12x = 36
x = 3
So if x equals 3 we can sub x in for square perimeter
Psqu = 4 *(8 * 3)
P = 4 * 24
P = 96
we can check this with rectangle perimeter
P = 2 *(10 * 3 + 8) + 2 *10
P = 2 * 38 + 20
P = 96
Answer:
ln(125x
)
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
Given that a fast food restaurant has the following options for toppings on their hamburgers: mustard, ketchup, mayo, onions, pickles, lettuce, and tomato.
A customer can choose from these 7 options 4 different options in 7C4 ways
This is because order does not matter here
So we use combinations here
Total no of ways a customer choose four different toppings from these
options=7C4
=35
Answer is 35
Since measure REU equal measure SFT, RE=FT and SF=EU then the two triangles REU et SFT are similar.
Then we deduce that the two sides RU and ST are equal, RU=ST.
Also, since the two triangles above are similar, then the two angles FST and RUE are equal. We deduce that the two lines RU and ST are parallel (interior opposite angles principles.)
We have two facts now:
RU = ST and RU parallel to ST, we deduce that the quadrilateral is a parallelogram.