Six friends were making a pattern. each friend had 2 blue blocks and 3 red blocks. they used all their blocks in the pattern.
how many blocks did they use in all?

a. 5

b. 11

c. 24

d. 30

e. 36

D. 30

Step-by-step explanation:

Given;

Number of friends = 6

Number of blue blocks each friend has =2

Number of red blocks each friend has = 3

We need to find Total number of blocks used in all.

Solution:

we know that they used all their blocks to make the pattern.

First we will find total number of blocks each friend has.

Total Number of blocks each friend has is equal to sum of Number of blue blocks and Number of red blocks.

Framing in equation form we get;

Total Number of blocks each friend =

Now Total Blocks used is equal to product of number of friends and total number of blocks used by each friend.

Framing in equation form we get;

Total number of blocks used =

Hence They used 30 blocks to make the pattern.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles