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.
Answer:19.1
Step-by-step explanation: Put the numbers in order and then add the numbers and then divide it by how many number there is
14+15+18+18+18+18+21+21+24+24=191
191/10=19.1
Answer:
20
Step-by-step explanation:
-10-5x(-6)
-10+30
20
Answer:
Step-by-step explanation:
Hello,
Let's follow the instructions !
Step 1
g(x)=k*f(x)=k*|x|
We know that the point (2,6) is on the graph so 6=g(2) meaning:
6=k*|2|=k*2
*** divide by 2 both sides ***
k = 6/2 = 3
Step 2
g(x)=3*|x|
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The number of people who how many most likely purchased crunchy-flakes cereal is 1000 customers.
<h3>How many most likely purchased crunchy-flakes cereal?</h3>
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
The first step is to determine the ratio of people who preferred crunchy-flakes cereal:
Ratio of people who preferred crunchy-flakes cereal : 5 - 3 = 2
Now, multiply the ratio of those who prefer crunchy-flakes cereal by the total number of customers: (2/5) x 2500 = 1000 customers.
To learn more about ratios, please check: brainly.com/question/25927869
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