X+ 3y = 13
(y - 3) + 3y =13
4y - 3 = 13
4y -3 + 3 = 13+3
4y = 16
4y/4 = 16/4
y=4
x = 4 - 3
x = 1
A) (1, 4)
Check x+3y =13
1+ 3(4) =13
1 + 12=13
13=13
Answer:
Step-by-step explanation:
Since the smaller triangles have a side of the same length, they share one side, and the included angle is 90°, the triangles are congruent.
This means the length of the side to the left is also x as shown in the image below.
The bigger triangle is also right and has side lengths of x, x, and 6 (the hypotenuse), thus:
Operating:
Since 18=9*2
The options are not clear enough, so I cannot make a choice.
Answer:
Charlie can buy 14 hats at the sale price
Step-by-step explanation:
Let
h ----> the sale price of the hat
x ---> the regular price of the hat
we know that
----> equation A
so
Two hats at the regular price is equal to multiply 2 by x
Multiply by 2 equation A both sides
2 hats at the regular price cost the same that 14 hats at the sale price
therefore
Charlie can buy 14 hats at the sale price
Answer:
The law of detachment and syllogism is valid here
Explanation:
The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.
The law of detachment is denoted
[(a→b)∧a]→b
The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.
It is denoted
[(a→b)∧(b→c)]→(a→c)
In the above example, given: If you live in Orlando, then you live in Florida
Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida
1) 55% is girls, then
100-55=45% is boys.
2) 45%=0.45 or 2) 400 ----100%
3)400*0.45= 180 boys x -----45% x=400*45/100=180 boys
Answer is 180 boys.
