Answer:
For the first two:
16(2+3)
3(5+19)
Step-by-step explanation:
To find the gcf, you must list the factors of both numbers, and whichever one is greatest, you would put on the outside. Like 16 is the gcf of 32 and 48, so that number remains on the outside. Now, for the inside numbers, 16 times what equals 32? 16 times 2. 16 times what equals 48? 16 times 3 equals 48. Put those in the parenthesis, and put an addition sign in between them.
Answer:
Shortest Side = 20 feet
Second Side = 23 feets
Third Side = 37 feets
Step-by-step explanation:
Let the shortest side of the desk be x. Hence,
Second side = (x + 3) feets
Third side = (2x - 3) feets
Perimeter = 80ft
x + (x + 3) + (2x - 3) = 80
4x = 80
x = 20
Hence, Second side = (20 + 3) feets
= 23 feets
Third side = (40 - 3) feets
= 37 feets
Hence<u>,</u><u> shortest side is 20 feets, Second side is 23 feets, Third side is 37 feets.</u>
Answer:
The measure of the red angle says 20 degrees
the other angle is 70 degrees
Step-by-step explanation:
Answer:
see the explanation
Step-by-step explanation:
we know that
If the absolute value of the scale factor is less than 1, then the dilation produces a contraction of the original image
If the absolute value of the scale factor is greater than 1, then the dilation produces an expansion of the original image
so
<u><em>Verify each value</em></u>
1) -4


therefore
The dilation produces an expansion of the original image
2) 0.25


therefore
The dilation produces a contraction of the original image
3) -2/3


therefore
The dilation produces a contraction of the original image
4) 2.3


therefore
The dilation produces an expansion of the original image
We want the final coordinate of K to become (-3,1). If you reflect across the y-axis, you transform

So, we need to move K to (3,1), and then reflect it across the y-axis. Since K starts at (-1,4), we have to move it 4 units to the right and 3 units down.