The value of x is equal to 14.
Since the bottom side is equal to 3 of the small triangle and the side of the larger triangle is equal to 9, that means that it was dilated by a factor of 3, since 3 * 3 = 9
So, the other side of 5, of the smaller triangle needs to be also be dilated by a factor of 3, so the new side is 15.
The larger triangle tells us that the side is x + 1, but we know that it is equal to 15. Since they are the same, we make them equal and solve for x
So, 15 = x + 1
We subtract 1 to isolate x and we get
14 = x
So, x is equals to 14.
I hope this helps.
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Answer:
four n squared divided by 7
Step-by-step explanation:
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Answer:
Step-by-step explanation:
So this is just playing with the pythagorean theorem
a^2 + b^2 = c^2 with a and b as legs and c as the hypotenuse.
Let's say a is equal to 1500 so then c is 4 times b
1500^2 + b^2 = (4b)^2 Now we just treat this like a normal algebraic expression
2,250,000 = 16b^2 - b^2
2,250,000 = 15b^2
150,000 = b^2
sqrt(150,000) = b
100sqrt(15) = b
You can check this now.
1500^2 + sqrt(150,000)^2 = c^2
sqrt(2,250,000 + 150,000) = c
sqrt(2,400,000) = c
400sqrt(15) = c Which fits the requirement of c = 4b
Answer:
A
Step-by-step explanation:
Answer:
20 lbs
Step-by-step explanation:
2/5ths of the food would be 20 pounds because:
2/5 * 50 = 20
2/10ths of the food would be 10 pounds because:
2/10 * 50 = 10
If we add those two together, we would get the total amount that the dog ate, which would be 30 pounds. SInce the dog ate 30 pounds of food out of the 50 pounds, there would be 20 pounds left in the bag at the end of two months:
50- ( 20+ 10) = 20
