I really need help here... please

Mathematics

1 answer:

tatuchka [14]3 years ago

3 0

A parallelogram is a quadrilateral with two pair of parallel sides, opposite sides are in equal length, opposite angles are of equal measure. Diagonals of parallelogram bisect each other.

Observe the given figure,

We need to prove that WXYZ is a parallelogram.

XW must be congruent to YZ as in parallelogram opposite are equal(congruent).

Similarly, WZ must be congruent to XY as in parallelogram opposite sides are equal(congruent).

By proving the opposite sides of a quadrilateral as congruent or of equal measure. We can say that the given quadrilateral is a parallelogram.

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Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $27

Evgen [1.6K]

PART A:
To obtain an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days, we use the fomula for the equation of a straight line.

Recall that the equation of a straight line passing through points $(x_1,\ y_1)$ and points $(x_2,\ y_2)$ is given by
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Given that Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.
This means that the lne modelling this situation crosses points (2, 125) and (5, 275).

The equation modelling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by,
$\frac{y-125}{x-2} = \frac{275-125}{5-2} = \frac{150}{3} =50 \\ \\ y-125=50(x-2)=50x-100 \\ \\ y=50x+25$

Writing the equation in standard form, we have
50x - y = -25

PART B:
Writing the function using function notation means making 'y' the subject of the formula and then replacing the 'y' with 'f(x)'.

Recall that from part A, we have that the equation for the total rent (y) that Marguerite has to pay for renting the truck for x days is given by y = 50x + 25.

Writing the equation using the function notation, we have
f(x) = 50x + 25

PART C:
To graph the function, we label the x-axis 'number of days' and label the y-axis 'total rent'. the x-axis is numbered using the intervals of 1 while the y-axis is labelled using the intervals of 50.
The points (2, 125) and (5, 275) are marked on the coordinate axis and a straight line is drawn to pass through the two points.

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4 years ago

How to write a fraction into a decimal

NISA [10]

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3 years ago

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2/3x - 7 < 9 help please

Andrew [12]

Answer:

x<24

*the answer will be incorrect if you meant 2/(3x) instead of (2/3)x

Step-by-step explanation:

First, add 7 to both sides of the inequality to get "2/3x<16." Then multiply both sides by 3 to get "2x<48." Finally, divide both sides by 2 to get "x<24"

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Entice English class 70% of the students completed an essay by the due date there are 30 students in ties English class how many

Kryger [21]

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What is 352.694 In expanded notation

Diano4ka-milaya [45]

$\displaystyle \bf\\
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4 years ago