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 .....
5.25 gallons is your answer
Answer:
Answer:
m∠2= 86
Step-by-step explanation:
since they are vertical angles, that means they are both equal to eachother.
so lets set them equal!
17x+1=20x-14
17x+15=20x
15=3x
x=5
now input x into m∠2
m∠2 = 20(5) – 14 = 86
Step-by-step explanation:
Answer:
n how many ways can a president, vice president, and a secretary be chosen? It is 12X11X10. Permutation of n things taken r at a time: nPr=n!/(n-r)! 12P3=12*11*10*9!/9!= 12*11*10=1320 ways.
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
Bag 1 :
Number of marbles = 6
Number of Blue marbles = 3
Bag 2:
Number of marbles = 4
Number of Blue marbles = 2
Recall :
Probability = required outcome / Total possible outcomes
For Bag 1:
P(blue) = Number of Blue marbles / total marbles
P(blue) = 3 / 6 = 1/ 2
For Bag 2:
P(blue) = Number of Blue marbles / total marbles
P(blue) = 2 / 4 = 1/ 2
Probability of a picking a blue marble from each bag :
1/2 * 1/2 = 1/4 = 0.25
