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brilliants [131]
3 years ago
6

Could you please help me out ?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0
1. The sum of the interior angles of a triangle is 180º, so we have:
 
 m∠K= 180º-58º-38º
 m∠K= 84º 
 
 2. If we draw a perpendicular segment from "K" to "k", we will obtain two right triangles and we can find the value of "k".
 
 3. Let's find the heigh ot these two triangles (The perpendicular segment from "K" to "k", which we will call "y"):
 
 Sen(α)=Opposite leg/Hypotenuse
 Sen(58º)=y/2.3
 y=2.3xSen(58º)
 y=1.95 units
 
 4. Now we must find the adjacent leg of the triangle on the left:
 
 Cos(α)=Adjacent leg/Hypotenuse
 Cos(58º)=Adjacent leg/2.3
 Adjacent leg=1.21 units
 
 5. Let's find the adjacent leg of the other triangle:
 
 Tan(38º)=Opposite leg/Adjacent leg
 Adjacent leg=2.49 units
 
 6. The lenght of "k" is:
 
 k=2.49 units+1.21 units
 k=3.7 units
 
 7. The length KL is:
 
 Cos(38º)=Adjacent leg/Hypotenuse
 Cos(38º)=2.49/KL
 KL=2.49/Cos(38º)
 KL=3.15 units
 KL≈3.2 units
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Answer:

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Step-by-step explanation:

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We can find the slope using the following formula:

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Here the given points are (-5,-1) and (0,-2)

So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1

We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2

Now we plug these values into the formula

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==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2

Slope=\frac{-2-(-1)}{0-5}

==> simplify numerator and denominator

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So the slope of the line is -1/5

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