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.
Refer to the figure shown below.
From a to b, we skip 1 letter.
From b to d, we skip 2 letters.
From d to g, we skip 3 letters.
Inductively, we should skip 4 letters to arrive at the next letter, which is k.
Answer: k
I'm not sure what you mean, but if you mean 15 and 1/20th, you just multiply 15 by 20 and add one which is 301 and keep the denominator
Answer:
it is the last one on the bottom
The values are |-3.25| = 3.25 and |-4.25| = 4.25
<h3>How to determine the values of the expressions?</h3>
The expressions are given as
|-3.25| and |-4.25|
The above expressions are absolute value expressions
And as a general rule, an absolute value expression, when evaluated must follow the following rule
|±a| = a
Using the above as a guide, we have
|-3.25| = 3.25
Also, we have
|-4.25| = 4.25
Hence, the values of the expressions are |-3.25| = 3.25 and |-4.25| = 4.25
Read more about absolute value expressions at
brainly.com/question/13282457
#SPJ1
