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3 years ago

Asha and Lucy are selling pencils in a school shop.

Mathematics

1 answer:

Akimi4 [234]3 years ago

8 0

Step-by-step explanation:

7x+22=2(5x+2)

7x+22=10x+4 (-7x)

3x+4=22 (-4)

3X=18 (divide by 3)

X=6 pencils

check if the number is correct

asha= 7*6=42 42+22 is 64

Lucy= 5*6=30 30+2 is 3264/32 is 2

asha= 7*6=42 42+22 is 64Lucy= 5*6=30 30+2 is 3264/32 is 2there fore asha sells twice as many as Lucy

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To enable the completion of the proof that line l is parallel to line m, a

diagram showing the lines and their common transversal is attached.

The completed two column proof is presented as follows;

Statement ${}$ Reason

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3. ∠1 and ∠3 are supplementary angles ${}$ 3. Exterior sides in opposite rays

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5. m∠1 + m∠2 = m∠1 + m∠3 ${}$ 5. Transitive property of equality

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${}$ angles postulate

Reasons:

Reason for statement 2: Supplementary angles are defined as two angles that sum up to 180°

Reason for statement 3: Two angles are supplementary if the exterior sides that form each angle are opposite rays (rays that are drawn out infinitely in opposite direction but have the same endpoint)

Statement 4: Mathematical expression of the sum of ∠1 and ∠3; Reason for statement 4 is the definition of supplementary angles

Reason for statement 5: Transitive property of equality describes the property that if a number x = y, and z = y, then x = z.

Statement 6: Subtracting m∠1 from both sides of the equation in statement 5. gives; m∠1 + m∠2 - m∠1 = m∠1 + m∠3 - m∠1 ⇒ m∠2 = m∠3. Reason for statement 6 is the subtraction property of equality

Reason for statement 7: The converse of the alternate interior angles postulate states that if the alternate interior angles formed between two lines and a common transversal are congruent, the two lines are parallel.

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Looking for even more control, Rockefeller saw the benefits of organizing the transportation to his products. Then, he began to develop his business through vertical integration, in which the company analyses all aspects of the product life cycle, from raw material extraction, through the production process, to the final delivery of the product.

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