The required ratio of cakes baked to hours worked = 30: 1
<u>Concept:</u>
We know that a ratio is a term in mathematics that signifies how many times one value contains the other.
<u>Given:</u> The number of cakes baked varies directly with the number of hours the caterers work.
<u>Explanation:</u>
From the given graph, it can observe that,
30 cakes are made in 1 hour. ( When we draw a vertical line from <em>x </em>= 1 to the curve, we get <em>y</em>=30 i.e. point is ( 1,30).
The required ratio of cakes baked to hours worked = 30: 1
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Answer:
See the proof.
Step-by-step explanation:
<u>Statement </u><u> </u><u> Reason</u>
1.∠1 and ∠2 are supplementary angles --- Given
2. m∠1 + m∠2 = 180° --- Linear pair, they are supplementary
3. m∠1 and m∠3 are supplementary angles -- m∠1 + m∠3= 180
(Supplementary angles add upto 180 degrees)
4. m∠1 and m∠3 ------ Exterior sides in opposite rays
5. m∠1 + m∠2 = m∠1 + m∠3 ------ Transitive property
6. m∠2 = m∠3 -------------- Subtraction property
7. l || m ------------- If two lines are cut by transversal the alternative interior
angles are the same, then the lines are paralle.
Thank you.
Note:
The slope of a straight line passing through the points (x₁, y₁) and (x₂, y₂) is

The two given points are (-3,4) and (4,-1). Therefore the slope is

Answer: