Answer:

Step-by-step explanation:
Given:

Required
Multiply
The above can be written as

Split the above expression

Collect like terms

Apply first law on indices



Hence,
is equivalent to 
Answer:






Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms


step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x

step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have

substitute


step 4
Find the measure of angle c
we know that
----> by vertical angles
we have

therefore

step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have

therefore

step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have

therefore

step 7
Find the measure of angle f
we know that
----> by vertical angles
we have

therefore

5.7 - 0.38 = 5.70 - 0.38 = 5.32
70 - 38 = 32
20 students are going to the trip and of those 20, 10 are bringing their own lunches
The correct is 40 hope I helped