What is the equation of the line shown on the graph?

Mathematics

1 answer:

Lisa [10]3 years ago

4 0

Answer:

i got you cutie <3

its B (:

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Given: △ABC, m∠C=90° m∠ABC=30°, AL ∠ bisector CL=6 ft. Find: LB

vlada-n [284]

For a better understanding of the solution given here please go through the diagram in the file attached.

To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."

Thus, in our question, we will have:

$\frac{LB}{CL}= \frac{AB}{AC}$

The above equation can be rearranged as:

$LB=CL\times \frac{AB}{AC}=\frac{CL}{(\frac{AC}{AB})}$ ...(Equation 1)

If we have a proper look at the denominator which is $\frac{AC}{AB}$ , we note that in $\Delta ABC$ , $\frac{AC}{AB}=Sin(\angle ABC)=Sin(30^\circ)$

Thus, (Equation 1) wil give us:

$LB=\frac{CL}{Sin(30^\circ)} =\frac{6}{0.5}=12$

Therefore, LB= 12 feet

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3 years ago

Which value of x makes this inequality true? X + 9 < 4x

Bogdan [553]

We want to get out x's together on the right side of the inequality.

So, subtract x from both sides to get 9 < 3x.

Now divide both sides by 3 and we get 3 < x.

I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.

So we can rewrite this as x > 3.

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4 years ago

A-11 B-12 C-15 D-8 Will give the brainliest

kherson [118]

I think A is the answer
Hope this helps!!!:)
Have a great day

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4 years ago

What is the slope of the line through (–4, 3) and (5, 3)?

miskamm [114]

Finding the slope using two points:

The formula for slope is