11: 4,874 > 4,784 > 4,687
12: 8.09 > 8.057 > 8.023
13: 15.820 > 15.280 > 15.000
14: 43,628 > 40,628 > 34,628
15: 395.050 > 395.009 > 395.005
Answer:
The perimeter is 109.8
Step-by-step explanation:
As we can see here, the angles of the triangles are congruent so we can say that both triangles are congruent
When two triangles are congruent, the ratio of their corresponding sides are equal
So we can get the scale factor here by looking at the sides facing each specific angle in both triangles
In the bigger triangle,
The side facing 34 degrees has a length of 30
In the smaller triangle,
The side facing 34 degree has a length of 27
So the scale factor to get the smaller from the bigger is 27/30 = 9/10 or 0.9
Likewise the side facing 51 degrees in the bigger is 40 while for the smaller, it is 36
So the ratio still stands at 36/40 = 9/10 or 0.9
In essence, the smaller triangle will have a perimeter that is 0.9 times that of the bigger
The perimeter of the bigger is simply the sum of the side lengths
We have this as;
(52 + 30 + 40) = 122
so that of the smaller would be;
122 * 0.9 = 109.8
Answer:
y=(x+5)²/6 + 1/3
Step-by-step explanation:
Use the distance formula to plug in the values you know:
√(y+1)² =√(x+5)² +( y-2)²
the square roots cancel out
(y+1) ²= (x+5)² +(y-2)²
(y+1) (y-1)= (x+5)² + (y-2) (y-2)
y²+2y+1= (x+5)² + y² -4y+4
the y² cancel out
2y+ 4y = (x+5)² + 4-1
6y= (x+5)² +3
y= (x+5)² /6+ 1/3
Pretty sure its 13x+1
if you're looking for x, minus the one so it's 13x=-1 and divide. hope it was helpful
Answer:
12 wins and 4 losses
Step-by-step explanation:
3 wins and 4 losses means they have played so far 7 games.
They play a total of 16 games in a season.
16 - 7 = 9
They still have to play 9 more games.
Add 9 wins to the 3 wins.
9 + 3 = 12
That means they'd finish the season with 12 wins and 4 losses.
