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denis-greek [22]
3 years ago
9

If all of the pieces of candy were lined up end to end, what would be the total length of candies? 1/8in, 2/8in, 3/8in, 4/8in ,

5/8in , 6/8in, 7/8in, 8/8in.
Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

4 1/2 inches

Step-by-step explanation:

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What additional information is needed to prove triangle LMN is congruent to triangle KMN using the HL theorem?
IgorC [24]
<h2>Answer:</h2>

∠LMN is a right angle

<h2>Step-by-step explanation:</h2>

If we want to prove that two right triangles are congruent by knowing that the corresponding hypotenuses and one leg are congruent, we begin as follows:

  • Since two legs are congruent and we know this by the hash marks, then the triangle ΔLKN is isosceles.
  • By definition LN ≅ NK
  • If ∠LMN is a right angle, then MN is the altitude of triangle ΔLKN
  • Also MN is the bisector of LK, so KM ≅ ML
  • So we have two right triangles ΔLMN and ΔKM having the same lengths of corresponding sides
  • In conclusion, ΔLMN ≅ ΔKMN
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3 years ago
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Solve the following system of equations by substitution. <br> 2x - y = 6<br> x + y = 6
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y=-x+6

2x-(-x+6)=6

3x=12

x=4

4+y=6

y=2

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When Pheobe asked her friends about their Thanksgiving, 35% of her 60 friends said they had pumpkin pie for dessert. How many fr
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Step-by-step explanation:

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(03.06 MC) The first four terms of a sequence are shown below: 8, 5, 2, −1 Which of the following functions best defines this se
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3 years ago
How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10
Ira Lisetskai [31]

Answer:

The system has one solution

Step-by-step explanation:

we have the system of equations

y=\frac{2}{3}x+2 ----> equation A

6x-4y=-10 ----> equation B

Solve the system by substitution

substitute equation A in equation B

6x-4(\frac{2}{3}x+2)=-10

6x-\frac{8}{3}x-8=-10

Solve for x

Multiply by 3 both sides to remove the fraction

18x-8x-24=-30

Combine like terms

10x=-30+24

10x=-6

x=-\frac{6}{10}

Simplify

x=-\frac{3}{5}

<em>Find the value of y</em>

y=\frac{2}{3}(-\frac{3}{5})+2

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y=\frac{24}{15}

Simplify

y=\frac{8}{5}

The solution of the system is the point (-\frac{3}{5},\frac{8}{5})

therefore

The system has one solution

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