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astra-53 [7]
4 years ago
9

HELP WITH POLYGONS SOON AS POSSIBLE During an expedition, archeologists find four objects at the positions labeled E, F, G, and

H in the image. How far are the artifacts E and F from each other?
A.5 units
B.8 units
C.10 units
D.12 units

Mathematics
1 answer:
Evgen [1.6K]4 years ago
5 0
It would be : B. 8 units
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Step-by-step explanation:

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Need help with school
denpristay [2]

Answer: 139°

Reasoning:

Angle 3 and 5 are congruent, so you can put their expressions equal to each other and solve.

14x-1=9x+14

To isolate the x to one side, subtract the 9x from the 14x.

5x-1=14

Now to get the constants on one side, add the 1 to the 14.

5x=15

Now divide both sides by 5 to isolate the x.

5x/5=15/5

x=3

Now that we know that, we can figure out angle 3.

9(3)+14

27+14= 41

Angle 3 = 41°

Now that we know what angle 3 is, we can subtract it from 180° to figure out angle 8 since angle 3 and 8 are supplemtary angles, aka linear pairs.

180°- 41°= 139°

<h3>Double checking your answer:</h3>

41°+139°=180°

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Mariulka [41]
So what’s the question
8 0
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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and
omeli [17]

Step-by-step explanation:

x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\     (given)

Let us consider :

x_{1} = t_{1} + 1

x_{2} = t_{2}

x_{3} = t_{3}

x_{4}  = t_{4}

x_{5} = t_{5}

Now, by substituting the above considerations in the above equation, we get:

t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\

t_{1}  + t_{2} + t_{3} + t_{4} + t_{5} = 20\\

where,

t_{i} \geq 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = _{r}^{n + r}\textrm{C}

                                                      = _{4}^{24}\textrm{C}

                                                      = 10626

Answer :

no. of solutions for the eqn 10626

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Answer:

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Step-by-step explanation:

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