According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other 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)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
In the situation '<span>Each letter of the English alphabet is written on a scrap of paper and put in a hat p(j)= 1/26', the type of probability illustrated is classical or mathematical probability. This is because 1 represents the number of expected outcomes of the event while 26 represents the total number of outcomes.</span>
Answer:
: c2 = a2 + b2 - 2ab cos C
c²=20²+15²-2×15×20×cos50
c²=400+225-600×0.64
c²=241
c=√241=15.5ft
1/4, 8/15, 6/5
One way to figure this out is to divide the fractions and find which number is bigger
Or you should know 1/4= .25 , 8/15 is around half or .5 and 6/5 the numerator is larger than the denominator, so it would be bigger than 1 <span />
Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction 
. Notice however that is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.
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