Dwayne buys ingredients to make a cake. He buys 112 pounds of flour, 12 ounces of coconut, and 114 pounds of sugar. What is the

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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Answer: The result is

Step-by-step explanation: A glass bottle filled with oil has a weight of 590 grams. After Sophia takes away 200 milliliters of oil, the bottle's weight drops to 400 grams.

Consequently, the mass of the oil used by Sophia is calculated as = 590 - 400 = 190 grams.

This means that 190 grams corresponds to 200 milliliters, thus

The relationship between the mass 'M' of the oil bottle in grams and 'V', the volume of oil used by Sophia can be represented as