You need to use the grids to draw rectangles which meet the requirements to help you put the answers in on the right.
1) Short side of 7 and long side of 9.
2) Short side of 9 and long side of 10.
3) Short side of 3 and long side of 8.
4) Short side of 4 and long side of 9.
5) Short side of 3 and long side of 5.
6) Short side of 6 and long side of 8.
7) Short side of 1 and long side of 2
8) Both sides 10 (this is technically a square).
9) Short side of 6 and long side of 9.
10) Short side of 7 and long side of 8.
11) Short side of 2 and long side of 3.
12) Short side of 6 and long side of 9.
You can draw these a few different ways to still get a correct result, so above are just one way of doing it.
If the triangles are congruents:
1) AC must be congruent with FE→AC=FE→y+3=2y+1→
y+3-y-1=2y+1-y-1→
2=y→y=2
2) CB must be congruent with ED→CB=ED→5x+7=6x+2y→
5x+7-5x=6x+2y-5x→7=x+2y→x+2y=7
Replacing y=2 in the equation above:
x+2y=7→x+2(2)=7→x+4=7→x+4-4=7-4→x=3
Then the lenght of each hypotenuse is:
CB=5x+7=5(3)+7=15+7→CB=22
or
ED=6x+2y=6(3)+2(2)=18+4→ED=22
The length of each hypotenuse is 22
Answer:
In the question 4/0, the denominator is zero so it is not a rational number.
Answer:
AC = 10
Step-by-step explanation:
Two tangents drawn to a circle from the same exterior point are congruent.
AC = AB
Since AB = 10, then
AC = 10
<h3>Answer:</h3>
2.4 potatoes/pound
<h3>Explanation:</h3>
The unit rate is the slope of the line. The slope of the line is ...
... (change in y-value)/(change in x-value)
... = (36 potatoes - 12 potatoes)/(15 pounds - 5 pounds)
... = (24 potatoes)/(10 pounds)
... = 2.4 potatoes/pound
_____
The relationship here is proportional, so the line goes through the point (0, 0) and the unit rate can be figured from any point:
... (12 potates)/(5 pounds) = (24 potatoes)/(10 pounds) = (36 potatoes)/(15 pounds) = 2.4 potatoes/pound
