2x + 3y = 6.....multiply by 3
-3x + 5y = 10...multiply by 2
-----------------
6x + 9y = 18 (result of multiplying by 3)
-6x + 10y = 20 (result of multiplying by 2)
-----------------add
19y = 38
y = 38/19
y = 2
2x + 3y = 6
2x + 3(2) = 6
2x + 6 = 6
2x = 6 - 6
2x = 0
x = 0
solution is : (0,2)
113 is one number. 131 is another
137, 173
I think that's all of them.
You can check if you google 'list of primes'.
Hold on i'm not sure about 113 and 131 Is number 1 a prime number? I dont think it is , So that leaves us with only 137 and 173.
It is called a "carrot" in most teachers math vocabulary, Type in your base, then click the ^ button, then type in your exponent.
P=Perimeter
L=Length
W=Width
Hints given are P= 76, L=20 so 2L=40
76=40+2w
76-40=2w
36=2w
18=w
The angle in the dilated figure is the same as the original angle in each case, a fact that should be confirmed by the way the answer choices are shown.
∠A = ∠A'
... 4x -4 = 51 -x
... 5x = 55
... x = 11
∠A = 4·11 -4 = 40 . . . . . . doesn't match any offered choice
___
∠B = ∠B'
... 6x -1 = 4x +21
... 2x = 22
... x = 11
... ∠B = 6·11 -1
... ∠B = ∠B' = 65 . . . . . matches selection D)
_____
∠C = ∠C'
... 8x -13 = 6x +9
... 2x = 22
... x = 11
... ∠C = 6·11 +9 = 75
... ∠C = ∠C' = 75 . . . . . matches selection D)
