Answer:
<u>1/8910720</u>
Step-by-step explanation:
Number of ways they can be chosen :
⇒ 17 × 16 × 15 × 14 × 13 × 12
⇒ 272 × 15 × 14 × 13 × 12
⇒ 4080 × 14 × 13 × 12
⇒ 57120 × 13 × 12
⇒ 742560 × 12
⇒ <u>8910720</u>
Hence, the probability will be :
⇒ P = 1 / number of ways
⇒ P = <u>1/8910720</u>
1B: -3(9x-q)
-27x + 3q
Step 1: Distribute the -3 to the 9x to get -27x.
Step 2: Distribute the -3 to the -q.
2B: 2(12+5p)
24 + 10p
Step 1: Distribute the 2 to the 12 to get 24.
Step 2: Distribute the 2 to the 5p to get 10p.
3B: -7(-8y+7)
56y - 49
Step 1: Distribute the -7 to the -8y to get 56y.
Step 2: Distribute the -7 to the 7 to get -49.
4B: 10(2+7c)
20 + 70c
Step 1: Distribute the 10 to the 2 to get 20.
Step 2: Distribute the 10 to the 7c to get 70c.
5B: -8(7+11k)
-56 - 88k
Step 1: Distribute the -8 to the 7 to get -56.
Step 2: Distribute the -8 to the 11k to get -88k.
6B: -(3-7u)
-1(3-7u)
-3 + 7u
Step 1: Place a 1 after the negative symbol to symbolize -1.
Step 2: Distribute the -1 to the three to get -3.
Step 3: Distribute the -1 to the -7u to get 7u.
7B: -6(5p + s)
-30p - 6s
Step 1: Distribute the -6 to the 5p to get -30p.
Step 2: Distribute the -6 to the s to get -6s.
:) :D
Answer:
m∠1 + m∠3 = m∠2 + m∠4
Step-by-step explanation:
In the figure attached,
In the given trapezoid if two sides AB and CD are parallel and AD is a transverse,
m∠1 + m∠3 = 180°
Similarly, if AB and CD are parallel and BC is a transverse,
m∠2 + m∠4 = 180°
Therefore, m∠1 + m∠3 = m∠2 + m∠4 is the relation between these angles.
1.
(10m - 14) + 9 = 12 1. Given
2. 5m - 7 + 9 = 12 2. Distributive Property
3. 5m + 2 = 12 3. Simplify (added like terms)
4. 5m = 10 4. Subtraction Property of Equality
5. m = 2 5. Division Property of Equality