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3 years ago

Please help me solve questions 1&2

Mathematics

1 answer:

zaharov [31]3 years ago

6 0

Answer:

1) Volume of prism is (V=Area of base×Height)

Volume " " "(V=22÷7×rsquare×h)

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Find the value of a that makes m||n

Brut [27]

The value of x that makes m║n is 40°

<h3>Line of transverse on parallel lines: </h3>

In geometry, the line that intersects two straight lines at distinct points is known as a transversal.

<h3>Corresponding angles: </h3>

The angles that are formed when two parallel lines are intersected by a third line i.e a transversal are corresponding angles.

Note:

Two corresponding angles are formed by a transversal with two parallel lines that are equal

Here we have

The angle made by the intersecting line with line m is 120°

And the angle made by the same line with line n is 3x°

Let us assume that m║n

From above observations

The given angle are corresponding angles

=> 3x° = 120°

=> x° = 40°

Therefore,

The value of x that makes m║n is 40°

Learn more about the Line of transverse at

brainly.com/question/11592045

#SPJ1

6 0

1 year ago

What is the GCF of 72 and 36?

almond37 [142]

36 gbdddddddddddddddddddngidn

7 0

4 years ago

Read 2 more answers

A class of 64 students was given 320 book. How many will each student take home

Darina [25.2K]

Answer:

Step-by-step explanation:

320 / 64 = 5

7 0

4 years ago

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 <span>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).
</span>
The equation modelling <span>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 </span><span>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 </span><span>(2, 125) and (5, 275) are marked on the coordinate axis and a straight line is drawn to pass through the two points.</span>

5 0

4 years ago

If you run a mile in 12 minutes, how fast are you running in miles per hour?

butalik [34]

1 mile in 12 minutes
x miles in 60 minutes

$\frac{1}{12} = \frac{x}{60}\\\\12x = 60(1)\\\\x = 5$

You are running at 5 miles per hour.

8 0

4 years ago