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3 years ago

Hey, another math question

Mathematics

1 answer:

Lena [83]3 years ago

3 0

Answer:

Step-by-step explanation:

By adjacent interior angles theorem,

If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.

a° + (3x - 18)° = 180°

a° = 180° - (3x - 18)°

By vertical angles theorem,

If two straight lines intersect each other at a point, opposite angles formed are equal in measure.

180° - (3x - 18)° = (5x - 10)°

(5x - 10) + (3x - 18) = 180

(5x + 3x) - (10 + 18) = 180

8x - 28 = 180

8x = 180 + 28

8x = 208

x = 26

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kherson [118]

Given:

The table of values for Fallon's earnings in terms of Donald's earnings.

To find:

The equation that best represents Fallon's earnings in terms of Donald's earnings.

Solution:

In the given table the x-values are increasing by 5 units and y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.

If the graph of a linear function passes through two points, then the equation of linear function is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is

$y-45=\dfrac{50-45}{43-38}(x-38)$

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taurus [48]

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━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━

So there are five candy bars.

Herself and two sisters equals 3 people in total.

This is a graph of 5 candy bars, each line being 1/2.

━ ━

If she ate half of one... the graph would become this.

━ ━

━

Now there are 9 halves. You need to split the 9 halves for 3 people. 9 divided by 3 is 3.

Each person gets 3 halves, or 1 and 1 half.

Mai: ━ ━ ━

Sister 1: ━ ━ ━

Sister 2: ━ ━ ━

Altogether that is 9 halves, AKA the number of halves Mai had after she ate 1/2.

The amount Mai ate in the first place: ━

9 halves plus 1 half, equals 10 halves. Each whole has 2 halves. 10 divided by 2 is 5, AKA the number of candy bars she had in the first place.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━

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