The HL Postulate
You know that the two hypotenuses are congruent and that the two triangles each contain a shared segment in the middle (so by the reflexive property they are congruent). You have two congruent hypotenuses and two congruent legs, so you can conclude congruency by HL.
If you found this helpful, please make this the brainliest answer! :)
First 99 digits.
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 342117067
Answer: fluffy is 11 years old
Scuffy is 8 years old
Step-by-step explanation:
Let x represent the present age of Fluffy the cat.
Let y represent the present age of Scuffy the dog.
Fluffy the cat is 3 years older than Scuffy the dog. This means that
x = y + 3 - - - - - -- - - - - 1
Six less than five times Scruffy's age is one more than three times Fluffy's age. This means that
5y - 6 = 3x + 1
5y - 3x = 1 + 6
5y - 3x = 7 - - - - - - - - - -2
Substituting equation 1 into equation 2, it becomes
5y - 3(y + 3) = 7
5y - 3y - 9 = 7
5y - 3y = 7 + 9
2y = 16
y = 16/2 = 8
x = y + 3
x = 8 + 3 = 11
Answer:
The x-intercept is 2/3 and the y-intercept is -1/3
Step-by-step explanation:
In order to find this, we need to note that the x-intercept is the value of x, when y = 0. So we plug in y = 0 and see what the x value is.
3x - 6y = 2
3x - 6(0) = 2
3x = 2
x = 2/3
The y-intercept is the opposite. It is the y value when x = 0. So we do the same with the other term.
3x - 6y = 2
3(0) - 6y = 2
-6y = 2
y = -2/6
y = -1/3