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AlekseyPX
3 years ago
6

Reflections and transformations

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
6 0
STATEMENTS                                 REASONS
1. ∠X ~= ∠Z;  XY~=ZY                      1. Given
2. ∠Y~=∠Y                                         2. Reflexive Property
3. ΔXYB ~= ΔZYA                              3. ASA Congruence Theorem
4. AZ~=BX                                        4. Corresponding Parts of Congruent                                                                        Triangles are Congruent

~= means congruent to
Hope that helped!

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Hamburgers cost $3 and hotdogs cost $2. The total cost of buying b hamburgers and d hotdogs can be expressed by C=3b+2d. How can
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C = 3b+2d is the same as 3b+2d = C

Let's isolate d. To do this, we first need to subtract 3b from both sides

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If there are 17 green marbles in a jar of 65 marbles, what is the probability of drawing 2 green marbles at random without repla
erastovalidia [21]

Answer:

Option b) \frac{17}{260}

Step-by-step explanation:

We are given the following information in the question:

Total number of marbles = 65

Number of green marbles = 17

We have to find the probability of drawing 2 green marbles at random without replacement.

Formula:

Probability = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

\text{P(Drawing 2 green marbles at random without replacement)} = \\\text{Probability of drawing }1^{st} \text{ green marble}\times \text{Probability of drawing }2^{nd} \text{ green marble}

\text{Probability of drawing }1^{st} \text{ green marble} = \displaystyle\frac{17}{65}\\\\\text{Probability of drawing }2^{nd} \text{ green marble} = \displaystyle\frac{16}{64}

\text{P(Drawing 2 green marbles at random without replacement)} =\displaystyle\frac{17}{65}\times \frac{16}{64}=\frac{17}{260}

Option b) \frac{17}{260}

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