What is the value of x? Enter your answer in the box. x = A triangle with vertices labeled as A, B, and C. Side B C is the ba
se. A line segment is drawn from A to base B C that bisects angle B A C into two parts marked with single arcs. Side A B is labeled as 9. Side A C is labeled as 15. Side B C is divided into two equal parts labeled as 2 x minus 1 and 3 x.
1 answer:
Answer:
x = 5
Step-by-step explanation:
For better explanation of the solution, see the attached diagram of the problem :
The triangle angle bisector theorem states that the line which bisects an angle of a triangle divides the opposite two sides of the triangle in two equal segment which are proportional to the other two sides of the triangle.
Now, from the diagram : AD is the angle bisector angle B
On Cross multiplication :
⇒ 9 × 3x = 15 × (2x - 1)
Using the distributive property,
⇒ 27x = 15×2x - 15×1
⇒ 27x = 30x - 15
Subtract 30x from each side:
⇒ 27x - 30x = 30x - 15 - 30x
⇒ -3x = -15
⇒ x = 5
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Step-by-step explanation:
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See attachment for class
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Solving (b): Mean and standard deviation using 1-VarStats
Using 1-VarStats, the solution is:
<em>See attachment for result of 1-VarStats</em>
