A line contains (34,12) and (32,48) what is the slope of the line in simplified form? HELP ASAPl

Given: AD ≅ BC and AD ∥ BC

Prove: ABCD is a parallelogram.

Statements                                                                 Reasons

 1. AD ≅ BC; AD ∥ BC                                                1. provided

 2. ∠CAD and ∠ACB are alternate interior angles        2. definition of alternate interior angles

3. ∠CAD ≅ ∠ACB                                                    3. congruence of alternate interior angles

4. AC ≅ AC                                                              4. reflexive property

 5. △CAD ≅ △ACB                                                  5. SAS congruency theorem

6. AB ≅ CD                                                            6. Congruent triangles have congruent corresponding parts (CPCTC)

7. ABCD is a parallelogram                                  7. theorem for sides of parallelograms

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The salt enters at a rate of (5 g/L)*(3 L/min) = 15 g/min.

The salt exits at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.

Thus, the total rate of salt flow, represented by in grams, is defined by the differential equation,

which is linear. Shift the term to the right side, then multiply both sides by :

Next, integrate both sides and solve for :

Initially, the tank contains 5 g of salt at time , so we have

The duration required for the tank to contain 20 g of salt is , such that

Answer:

$12.18

Step-by-step explanation:

Provided:

The price of a 0.8 liter bottle of Mexican wine amounts to 101 pesos.

Consequently,

The price for 1 liter of Mexican wine can be determined as pesos.

Additionally,

Converting, 1 Mexican peso equates to 0.051 dollars.

As a result, the equivalent cost of 1 liter of Mexican wine is dollars.

Moreover,

Knowing that 1 gallon equals 3.78541 liters;

Thus, half a gallon equals = 1.892705 liters.

Therefore, the cost for a half-gallon jug would be dollars.

In conclusion, the price for a half-gallon of this wine is $12.18.

The initial score was 80, and there was a wrongfully deducted 5 points. This indicates that any result equating to 85 is the correct outcome.

80 + 5 = 85

80 - (-5) = 85