Set up a ratio. But first convert the height of the puzzle to feet so we are comparing the same unit of measure.
STEP 1
convert 24 inches to feet
12 inches= 1 foot
24 inches= 2 feet
STEP 2
set up ratio.
= 2 feet/556 feet or 2:556
simplify both by 2
= 1 ft/278 ft or 1:278
ANSWER: 1/278 or 1:278 (can be written either way)
Hope this helps! :)
Answer:
(x,y) --> (x+4, y-5)
Step-by-step explanation:
A is correct. B can be represented as x+4, y - 5 because the x values shifted 4 to the right (a positive shift so x+4) and the y values shifted 5 down (a negative shift so y-5)
The area of the triangle extension is 12, because the total side length it is on is 18, and the segments to the sides of the triangle are 6 each, meaning 18-12=6, the height of the triangle. The base is given as 4, so 1/2(4x6)=24/2=12.
Add this to the area of the rectangle, 9x18=162, and 162+12=174.
The area is 174.
6y-4=4y+2
2y=6, so y=3.
Plugging it in, you get that AC equals 4*3+2=14.
This is an isosceles triangle.
9514 1404 393
Answer:
(6,2)
Step-by-step explanation:
As is often the case with multiple-choice problems, you don't actually need to know the detailed working. You just need to know what the answer looks like.
When point X is dilated by a factor of 2 with point Z as the center of dilation, it will move to a location twice as far from Z. You can tell by looking at the graph that X' will be in the first quadrant, above and to the right of the location of X. The only sensible answer choice is ...
X' = (6, 2)
_____
<em>Additional comment</em>
X is a distance of X-Z = (4, 0) -(2, -2) = (2, 2) from Z Doubling that will put the image point a distance of 2(2, 2) = (4, 4) from Z. When this is added to Z, we find ...
X' = Z + (4, 4) = (2+4, -2+4) = (6, 2)
