Answer:
The correct option is x=3 , y=2
Step-by-step explanation:
According to the HL theorem if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
Now we will plug the value y+1 of equation 1 in equation 2.
2x+3 = 3y+3
2(y+1)+3=3y+3
2y+2+3=3y+3
2y+5=3y+3
Now combine the like terms:
5-3=3y-2y
2=y
y=2
Now plug the value y=2 in equation 1.
x=y+1
x=2+1
x=3
Thus the values of(x.y) are{(2,3)}
Therefore the correct option is x=3 , y=2 .....
Answer:
Step-by-step explanation:
The chart doesn’t make much sense. I don’t know why some boxes are complete empty.
Log₃(60) = log₃(6) + log₃(10) = log₃(3) + log₃(20) = log₃(120) - log₃(2) = log₃(240) - log₃(4)
log₇(36) = log₇(18) + log₇(2) = log₇(9) + log₇(4) = log₇(72) - log₇(2) = log₇(144) - log₇(4)
log₆(18) = log₆(9) + log₆(2) = log₆(6) + log₆(3) = log₆(36) - log₆(2) = log₆(54) - log₆(3)
log₂₅(60) = log₂₅(30) + log₂₅(2) = log₂₅(15) + log₂₅(4) = log₂₅(180) - log₂₅(3) = log₂₅(300) - log₂₅(5)
log(40) = log(20) + log(2) = log(8) + log(5) = log(80) - log(2) = log(120) - log(3)
8 pigs x 4 legs each = 32. so you need 2 ducks to give you 10 animals total. So 32 + 2 ducks with 2 legs = 36.
There are 8 pigs and 2 ducks.
Answer:
The median of these numbers is 42.
Step-by-step explanation:
First we have to list these numbers from least to greatest so we can get an accurate answer.
5, 21, 36, 42, 56, 75
We know that the median is the number in the exact middle of a group of numbers from least to greatest, but in this case there are 6 numbers so what do we do? All you have to do is find the average of the two numbers in the middle. So, 42 + 36 divided by 2 = 78/2 = 39.
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master this subject! Stay safe and please mark brainliest!
OOPS! I forgot 81.
Let's try that again. I will keep the above in case you have any problems with an even number of numbers.
First order from least to greatest:
5, 21, 36, 42, 56, 75, 81
Find the median which is the number in the middle of the set of numbers which in this case is 42.
Sorry about the first problem but if you have any questions with an even amount of numbers than hopefully you can look back up top and be able to figure it out!
