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3 years ago

2.

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

4 0

Step-by-step explanation:

Consider the provided information.

A convex polygon is a polygon with all its interior angles less than 180°.

Regular polygon is a polygon in which all angles are equal and all sides are the same length.

An irregular polygon does not have congruent sides and interior angles.

From the above definitions we can identify the similarities and differences between the interior and exterior angles of both polygons.

Difference:

The interior angles of regular polygon are equal.

Since, the interior angles of a regular polygon are equal, the exterior angles must also be equal to one another.

The interior angle of irregular polygons are not equal, however, each exterior angle may have a different measurement as well.

Similarity:

The sum of interior angles for both polygon are equal. Also the sum of exterior angles for both polygon are equal.

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Dude use the formula of height and distance to find the height of the trangle and then you can find the other side length using Pythagorus theorem

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What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5?

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Answer:

Second option is correct. The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.

Step-by-step explanation:

From the given graph it is noticed that the endpoints of the line segment JK are J(-6,-2) and K(8,-9).

The formula to find x intercept.

$x=\frac{m}{m+n}(x_2-x_1)+x_1$

The ratio is 2:5, therefore the value of m is 2 and the value of n is 5.

$x=\frac{2}{2+5}(8-(-6))+(-6)$

$x=\frac{2}{7}(14)-6$

$x=4-6$

$x=-2$

Therefore the x-coordinate is -2 and second option is correct.

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3 years ago

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Step-by-step explanation:

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If f(x) varies directly with x and f(x) = 72 when x = 6, find the value of f(x) when x = 3.

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Answer:

Step-by-step explanation:

Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.

Given that f(x) is 72 when the value of x is 6.

This implies, \[72 = k * 6\]

Simplifying and rearranging the equation to find the value of k:

k = \frac{72}{6}

Hence k = 12

Or, \[f(x) = 12 * x\]

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Or in other words, the value of f(x) when x=3 is 36

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