Answer:
HL (hypotenuse leg)
Step-by-step explanation:
From the diagram, we have two sides that are congruent
The side QS is common to both triangles
Also, we have it that the side PS and QR are congruent
What this mean is that we have two sides that are already the same
Now, looking at the right angle position in both, we can see that QR and PS represents the hypotenuse of individual right angles
Using the HL congruence statement, since we have it that the hypotenuse one side is already congruent, we can conclude that the last side too is congruent and as such both triangles are congruent to each one another
Answer:
B
Step-by-step explanation:
Because
Answer:
Step-by-step explanation:
Original equation
√x+6-4 = x
Isolate
√x+6 = 4+x
Raise both sides to the second power
(√x+6)2 = (4+x)2
After squaring
x+6 = x2+8x+16
Rearranged equation
x2 + 7x + 10 = 0
This equation has two rational roots:
{x1, x2}={-2, -5}
Original equation, root isolated
√x+6 = 4+x
Plug in -2 for x
√(-2)+6 = 4+(-2)
Simplify
√4 = 2
Solution checks !!
Solution is:
x = -2
Original equation, root isolated
√x+6 = 4+x
Plug in -5 for x
√(-5)+6 = 4+(-5)
Simplify
√1 = -1
Solution does not check
1 ≠ -1
Answer:
To decrease 160 by 6% you have to do 160×.06 and you get 9.6. then you do 160-9.6 and you get 150.4
Approximately 7.4 inches. You can use the Pythagorean theorem to get you diagonal or hypotenuse.
