MATHEMATICS HIGH SCHOOL

What is the length of segment ol?

Answers

Answer 1

Answer:

Answer:

The length of segment of OL is 22.4 cm

Option 3 is correct

Step-by-step explanation:

In ΔMNL, NM||PO

If two sides are parallel then their corresponding sides are in ratio.

Basic Proportionality Theorem: If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in same ratio.

Therefore,

$(OL)/(OM)=(PL)/(NP)$

$(x+4)/(8)=(14)/(5)$

$5(x+4)=14\cdot 8$

$5x+20=112$

$5x=92$

$x=18.4$

OL = x+4

OL = 18.4 + 4 = 22.4 cm

Hence, The length of segment of OL is 22.4 cm

Answer 2

Answer: Ok, so to do this problem you have to set up a proportion. You are given x+4, 14, 8, and 5. The proportion is as follows:

X+4 8
----- = ---- Now cross multiply to get 5x+20=112. 112-20= 92, and
14 5 92/5= 18.4. Your answer is A, 18.4 cm.

Hope this helps! :)

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A triangular banner has an area of 351cm2. The length of the base is two centimeters longer than four times the height. Find the height and length of the base.

Answers

Answer:

h = 13cm and b= 54cm.

Step-by-step explanation:

We have that the area $A=351cm^2$ and the base is two centimeters longer than four times the height, that is

$b = 2+4h$

where b is the base and h the height. Now, the area is

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Now, we are going to use the general formula to solve quadratic ecuations:

$h=(-b\pm√(b^2-4ac))/(2a)$

where a=4, b= 2 and c= -702.

$h=(-2\pm√(2^2-4(4)(-702)))/(2*4)$

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As we are searching for the lenght, we choose the positive result:

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Answers

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