Answer:
Step-by-step explanation:
Missing figure drawn.
The measure of ∠PQR is found by the property of inscribed quadrilateral. In an inscribed quadrilateral the opposite angles are supplementary:
3/(x + 4) = (x + 2)/5
Multiply both sides by 5 :
5 × 3/(x + 4) = 5 × (x + 2)/5
15/(x + 4) = x + 2
Multiply both sides by x + 4 :
(x + 4) × 15/(x + 4) = (x + 4) × (x + 2)
Provided that x + 4 ≠ 0, we can cancel the factors of x + 4 on the left side:
15 = (x + 4) (x + 2)
Expand the product on the right side:
15 = x² + 6x + 8
Move everything to one side:
0 = x² + 6x - 7
We can factorize easily in this case
0 = (x + 7) (x - 1)
Then
x + 7 = 0 or x - 1 = 0
⇒ x = -7 or x = 1
So if there is 7 people and shakes the hand of everyone once it would be 6 shakes for one person to shake all the 7 people.6 because himself is counted as one.
So if we multiply 6x7 we would have our answer which in this case is 42
42 handshakes in total from everybody.
Answer:
w = -6
Step-by-step explanation:
Adding 4 to both sides (we do this to get rid of the -4) gives us:
-4 + w + 4 = -10 + 4
w = -6
Remark
I'm just going to eave a very short note and if you answer quickly in the comments, I'll come back and edit the question.
Argument
If consists of 2 sides and 2 semicircles. Without a width, there is no number to be given. We can get a formula
Fomula
Perimeter = 2*sides + 2pi *w/2
Perimeter = 2*13 + pi*W
