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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.

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?

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<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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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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21

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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How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10

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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>

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

$y=-\frac{6}{15}+2$

$y=\frac{24}{15}$

Simplify

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

therefore

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