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Mathematics

1 answer:

antoniya [11.8K]3 years ago

3 0

Answer:

Step-by-step explanation:

slope m = (y₂ - y₁)/(x₂ - x₁)

= 6-6 / 8 - (-5) = 0/ 8+5 = o

Slope = o. ie the line is parallel to the x-axis.

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Analyze ady Porter is buying t ride tickets at the county fair. He receives 3 tickets for every dollar, d, that he spends. Which

Vanyuwa [196]

Answer:

The answer is below

Step-by-step explanation:

An independent variable is a variable that does not dependent on other variables. It is the input variable.

A dependent variable is a variable that is dependent on other variables. The dependent variable depends on the independent variable. It is the output variable.

Since porter receives 3 tickets for every dollar, this means the number of ticket is dependent on the money he spend. Therefore the money he spends (d) is the independent variable and the tickets (t) is the dependent variable.

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There is a line who slope is 3 and who’s Y intercept is -10. Right it’s equation in slope intercept form

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Step-by-step explanation:

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Line l is parallel to line e in the figure below.

agasfer [191]

Answer: The correct option are as follows;

(1) The triangles are similar because corresponding sides are congruent

(2) The triangles are similar because alternate interior angles are congruent

(3) In the similar triangles, Angle 3 and Angle 6 are corresponding angles

Step-by-step explanation: Please refer to the picture attached for details.

The line i and line e has been drawn and marked as parallel lines. Also two transversal lines m and n have been drawn to intersect in the region between the parallel lines to form two triangles (as shown in the picture).

From the information given, where line e intersects with line n we have angle 1, and where line e intersects with line m we have angle 3, and then the third angle is angle 2.

Furthermore, where line l intersects line m we have angle 6, and where line l intersects line n is angle 4. Also in this second triangle, the third angle is 5.

Upon close observation we would see that Angle 6 is equal to Angle 3, since the transversal m has cut across both parallel lines l and e. Similarly Angle 4 is equal to Angle 1 since the transversal n has cut across parallel lines l and e. Having that Angles 3 and 1 are congruent to Angles 6 and 4, we can conclude that the value of the third angle in one triangle is equal to the that of the third in the second triangle, that is, Angle 2 equals Angle 5. Also, if the angles are similar and the lines l and e are parallel, then the lines formed in both triangles are equal.

So our conclusions are;

The interior angle are alternate angles (Angles 3 and 6, Angles 1 and 4), and the third interior angles are Opposite (Angles 2 and 5 {Opposite angles are equal})