Answer:
Step-by-step explanation:
<u>Given triangle ACD</u>
- AB = BC
- CD = 2x + 6
- AB = x + 5
- BC = 2x - 3
- P = ?
<u>Perimeter is sum of the side lengths:</u>
AD = CD because D is vertex and the triangle is isosceles
AC = AB + BC because B is midpoint of AC
<u>Then P is:</u>
- P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14
<u>Find the value of x from the AB = BC:</u>
- x + 5 = 2x - 3
- 2x - x = 5 + 3
- x = 8
<u>Then find the value of P:</u>
- P = 7*8 + 14 = 56 + 14 = 70 units
Answer:
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Let A, B, C and D sets.
Let |A| the number of elements of A.
Remember, the quantity of elements that have the set
is

1. Since each set has 100 elements,
2. each pair of the sets shares 50 elements
3. each three of the sets share 25 elements,
4. the four sets share 5 elements
Then

So, there are 20 elements in the union of the sets A, B, C and D