Darren has a piece of wood that is 7 in by 8 in. explain how he could divide this large rectangle into smaller rectangles

2 7x4 pieces

4 7x2 pieces

8 7x1 pieces

Step-by-step explanation:

In order to split the wood into different parts, you can find all possible factors of the two dimensions:

8: 1,2,4,8

7: Prime

Since 7 is a prime number, there are only 4 factors and one of the dimensions always has to be 7

The factors of 8 simply tell you what pieces you can split the wood into:

7x1

7x2

7x4

7x8

Since the wood was originally 7x8, we can take that option out. Now we are only left with 3 different dimensions. in order to find out how many of each piece we need, we can divide the original wood area by the piece area:

7x8=56

7x1=7 56/7=8

7x2=14 56/14=4

7x4=28 56/28=2

There for, you can have 8 7x1 pieces, 4 7x2 pieces, and 2 7x4 pieces.

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.  

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.