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2 years ago

Please Hurry) What is the length of side AC of the triangle? □ units.

Mathematics

1 answer:

NARA [144]2 years ago

8 0

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

$\boxed{\mathrm{AC = 25 \:\: units ~}}$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

As we can see in the given figure, Angles A and B are equal. therefore their opposite sides will be equal to one another, that is ~

AB = BC

now, let's plug the values of AB and BC in terms of x and equate them to find the value of x ~

$5x + 5 = 7x - 1$

$7x - 5x = 5 + 1$

$2x = 6$

$x = 6 \div 2$

$x = 3 \: \: units$

now , let's find the measure of side AC ~

AC = 6x + 7

that is ~

$6(3) + 7$

$18 + 7$

$25 \: \: units$

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The <em>resulting</em> point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

<h3>How to determined a resulting point by translation</h3>

In this question we need to determine the new location of a point by using a <em>translation</em> formula. Translations are rigid transformations in which a point is translated on a <em>Cartesian</em> plane. We have the following formula:

P'(x, y) = P(x, y) + (- 5, - 2) (1)

Where:

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If we know that P(x, y) = (6, - 1), then the resulting point is:

P'(x, y) = (6, - 1) + (- 5, - 2)

P'(x, y) = (1, - 3)

The <em>resulting</em> point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

To learn more on translations: brainly.com/question/17152175

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1 year ago

This is so confusing can anyone help?

WITCHER [35]

Answer:

Step-by-step explanation:

For an angle to be supplementary to another angle, they must be equal to 180. Angles 6, 10, 13, and 9 are all supplementary to angle 16. Although there are more choices in different answers it wouldn't work with question, so C is the right answer.

Angle 16 is supplementary to angle 9 by the Same Side Interior Angles Theorem, which makes it supplementary to angle 10 by the Alternate Exterior Angles Theorem, which is also congruent to angle 13 by the Vertical Angles Theorem, which is also supplementary to angle 6 by the Alternate Exterior Angles Theorem.

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1 year ago

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2 years ago

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HACTEHA [7]

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<h3>How to graph the inequality?</h3>

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Please Hurry) What is the length of side AC of the triangle? □ units. ​

Please Hurry) What is the length of side AC of the triangle? □ units.