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:
x = 12
Step-by-step explanation:
- Write in a different way: 2(2x + 8) = 64
- Apply the distributed property, so it now looks like this: 4x + 16 = 64
- Subtract 16 from each side, so it now looks like this: 4x = 48
- Divide each side by 4 to cancel out the 4 next to x. It should now look like this: x = 12
I hope this helps!
Answer:
x(x−1)(x+4)
Step-by-step explanation: there are no like terms
Answer:
The dimensions are:
by 
Step-by-step explanation:
The area of the rectangle is given as

The factored form of this quadratic trinomial gives the dimensions of the rectangle.
We factor 3 first to obtain;

We split the middle term to get;

We factor within the parenthesis to get;

We factor further to get;

The dimensions are:
by 
Then the perimeter will be

Answer:
30 people own a cat
Step-by-step explanation: