The farmer’s market has a total of 98 tents. The ratio of food tents to retail tents is 9:5. Write a system of linear equations
1 answer:
Answer:
The answer is
Step-by-step explanation:
Given:
The farmer’s market has a total of 98 tents.
The ratio of food tents to retail tents is 9:5.
Now, to write the system of linear equations that represents this situation.
The total tents = 98 tents.
<u><em>Let the food tents be </em></u><u><em /></u>
<u><em>And the retail tents b</em></u>e
So, the total tents:
<em>As, given the ratio 9:5.</em>
Now, to write the system of linear equations:
<em>Multiplying both sides by </em><em> we get:</em>
Therefore, the answer is
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5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,
Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.
So, we have that m∠B = m∠D. Therefore,
Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.
Answer:
Step-by-step explanation:
-3x^4 -9x^3+ 15x^2
-3x^2 ( x^2 + 3x -5)
if you use quadratic formula (see image)
~~~~~~~~~~~~~~~~~~~~~~
10x^3 -35x^2 +6x -21
5x2(2x-7) +3(2x-7)
(5 + 3) (2x-7)
