The number of kilometers y in a measure varies directly as the number of miles x. Write a direct variation equation that could b
1 answer:
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Answer:
Step-by-step explanation:
First we calculate the number of possible ways to select 2 cards an ace and a card of 10 points.
There are 4 ace in the deck
There are 16 cards of 10 points in the deck
To make this calculation we use the formula of combinations
Where n is the total number of letters and r are chosen from them
The number of ways to choose 1 As is:
The number of ways to choose a 10-point letter is:
Therefore, the number of ways to choose an Ace and a 10-point card is:
Now the number of ways to choose any 2 cards from a deck of 52 cards is:
Therefore, the probability of obtaining an "blackjack" is:
Answer:
Given: ABCD is a parallelogram.
Prove: Angle A and B are supplementary and C and D are supplementary.
That is, m∠A + m∠B = 180° and m∠C + m∠D = 180°
Statement Reason
1. ABCD is a parallelogram 1. Given
2.m∠A=m∠C and m∠B=m∠D 2. Definition of parallelogram.
3.m∠A+m∠B+m∠C+m∠D=360° 3. Definition of quadrilateral
4. m∠A+m∠B+m∠A+m∠B=360° 4. By substitution
⇒ 2( m∠A + m∠B ) = 360°
⇒ m∠A + m∠B = 180°
Similarly, m∠C + m∠D = 180°
5.∠A and ∠C are supplementary, 5. Def. of Supplementary
∠ B and ∠D are supplementary
