Let

, so that

,

, and

. Then

Now let

, so that

. Then

Transform back to

to get

and again to get back a result in terms of

.
Answer:
a) 150 plates
b) 30 plates
c) 180 plates
Step-by-step explanation:
Given that:
She bought twelve (12) packages of plates for the party in which each package contains 15 plates.
Out of the 12 packages;
10packages are small plates & 2 packages are large plates.
a) The number of small plates she bought = 10 × 15 = 150 plates
b) The number of large plates she bought = 2 × 15 = 30 plates
c) The total number of plates she bought all together is:
= number of small plates bought + = number of large plates bought
= (150 +30) plates
The total number of plates she bought all together = 180 plates
4 x 10^12 is 4000000000000 in scientific notation. The decimal needed to move 12 places to the left.
Step-by-step explanation:
a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.
b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:
