Explanation: The given triangles are similar by Angle-Angle postulate, because all three pairs of corresponding angles are congruent.
Answer:
does NOT have right angles at the corners
Step-by-step explanation:
we are given that the sides of a table are 27" and 36" long.
If we assume the table to be rectangular, then by Pythagorean formula, we can find the diagonal and compare it to the 40" that we are given.
(refer to attached)
diagonal² = 27² + 36²
diagonal² = 27² + 36²
diagonal² = 2025
diagonal = √2025
diagonal = 45 inches
because the diagonal that we found is not the same as the 40" that was given, we can conclude that the table is not a rectangle (i.e does not have right angles at the corners)
Answer:
Yes the graphs of the lines are in pair parallel.
Step-by-step explanation:
They are in pair parallel because they do not touch each other. To find the slope of the line that is parallel to 5x+2y=6...
The first thing to do is subtract 5x since its a positive so it would look like this:
5x+2y=6
<u> -5x =-5x</u>
Next you would divide by 2 on each side so the y can be isolated:
5x+2y=6
<u>-5x =-5x</u>
<u>2y</u> = <u>-5x + 6</u>
2 2
Lastly the 2 divided by 2 gets crossed out because they cancel each other out and divide -5x by 2 and 6 by 2 then you would be stuck with this:
y= -2.5x+3
So your parallel slope would be -2.5x.
Answer:
scale factor= 4.7
Step-by-step explanation:
47/10= 4.7
32.9/7= 4.7
28.2/6= 4.7
To figure out the scale factor for the smallest to the largest triangle, divide the larger number by the smaller number (of the same side).
If you wanted to get the scale factor of the largest to smallest triangle, you would just do the opposite.
ex. 10/47, 7/32.9...
Answer:
Ightt
Step-by-step explanation: