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tekilochka [14]
3 years ago
15

43. If L is the midpoint of KN an MP, which methods can be used to prove the triangles are congruent

Mathematics
1 answer:
quester [9]3 years ago
8 0

Answer:

Step-by-step explanation:

Two triangles are said to be congruent if all their corresponding sides and corresponding angles are equal to each other.

Given that L is the midpoint of KN an MP, hence:

KL = LN; and ML = LN

Also, ∠KLM = ∠PLN (vertical opposite angles are congruent to each other)

Since ∠KLM = ∠PLN, KL = LN; and ML = LN, we can hence say that triangle KLM and triangle LNP are congruent triangles using Side-angle-side (SAS) triangle congruency theorem.

The SAS theorem states that if two sides and one included angle of one triangle is equal to two sides and an included angle of another triangle, then both triangle are congruent

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a slitter assembly contains 48 blades five blades are selected at random and evaluated each day for sharpness if any dull blade
son4ous [18]

Answer:

P(at least 1 dull blade)=0.7068

Step-by-step explanation:

I hope this helps.

This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.

So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.

P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1

P(at least 1 dull blade)=1-P(no dull blades)

But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.

So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.

Also since are consecutive events, you need to multiply the events.

The probability that the assembly is replaced the first day is:

P(at least 1 dull blade)=1-P(no dull blades)

P(at least 1 dull blade)=1-(\frac{38}{48}* \frac{37}{47} *\frac{36}{46}*\frac{35}{45}*\frac{34}{44})

P(at least 1 dull blade)=1-0.2931

P(at least 1 dull blade)=0.7068

5 0
3 years ago
Write a system of inequalities using the given graph
ziro4ka [17]

For dark line

  • (0,1)
  • (-1,-4)

Slope

  • m=-4-1/-1=5

Equation in point slope form

  • y-1=5x
  • y=5x+1

Put (0,0)

  • 0<1

As line is dark sign is ≤

The inequality

  • y≤5x+1

For dashed line

  • (2,0)
  • (0,-2)

Equation in intercept form

  • x/2-y/2=1
  • x-y=2
  • y=x-2

Put (0,0)

  • 0>-2

Symbol is >

Inequality is

  • y>x-2
7 0
2 years ago
Helppp ! please and thank you .
Gnoma [55]

Answer:166

Step-by-step explanation:

SA=2lw+2lh+2hw so 2*4*5+2*7*5+2*7*4

so 40+70+56=166

6 0
2 years ago
What is 40% of 5?<br> i need help
natka813 [3]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
can someone solve these two equations 2/8=3/r and the next problem is 2/5=9m/8 these are two different problems
Drupady [299]
(1) 3/4=r

(2) 16/45=m
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3 years ago
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