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2 years ago

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Triangle ABC is shown below. Triangle A B C is shown. The length of side A B is 2 x, the length of side B C is 4 x minus 10, and

the length of side A C is 3 x minus 7. Angle A B C and B C A are congruent. What is the length of line segment AC?

2 answers:

Sedbober [7]2 years ago

6 0

Answer:the length of line segment AC is 14

Step-by-step explanation:

The diagram is shown in the attached photo

Since Angle A B C and B C A are congruent. It means that they are equal. An isosceles triangle is a triangle that has two equal sides and two equal base angles. Since Angle A B C and B C A are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes

3x - 7 = 2x

3x - 2x = 7

x =7

To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes

3×7 - 7 = 21 - 7 = 14

mr_godi [17]2 years ago

3 0

Answer:

14

Step-by-step explanation:

make the sides equal to each other than you can solve

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$\theta$ is in quadrant I, so $\cos\theta>0$ .

$x$ is in quadrant II, so $\sin x>0$ .

Recall that for any angle $\alpha$ ,

$\sin^2\alpha+\cos^2\alpha=1$

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