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3 years ago

S

Mathematics

1 answer:

IgorLugansk [536]3 years ago

5 0

Answer:

x=6

Step-by-step explanation:

We know that point C is in the middle of point A and point B.

That means that when these two equations are added they should be equal to the length of AB which is 41.

5x+3x-7=41

add 7 to both sides

8x=48

divide both sides by 8.

x=6

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Find the approximate length of EF.

Yuri [45]

Answer:

The correct option is B

Step-by-step explanation:

Given information: ∠F=32°,∠D=54° and DF=18m.

According to the angle sum property of triangle, the sum interior angles of a triangle is 180°.

Using angle sum property, we get

$\angle D+\angle E+\angle F=180^{\circ}$

$54^{\circ}+\angle E+32^{\circ}=180^{\circ}$

$\angle E+86^{\circ}=180^{\circ}$

$\angle E=180^{\circ}-86^{\circ}$

$\angle E=94^{\circ}$

Law of sine:

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

Using law of sine we get

$\frac{\sin D}{d}=\frac{\sin E}{e}$

$\frac{\sin D}{EF}=\frac{\sin E}{DF}$

$\frac{\sin 54^{\circ}}{EF}=\frac{\sin 94^{\circ}}{18}$

$\frac{0.809016994375}{EF}=\frac{0.99756405026}{18}$

Cross multiply,

$0.809016994375\times 18=0.99756405026\times EF$

Divide both sides by 0.99756405026.

$EF=14.5978655656$

$EF\approx 14.6$

The value of EF is 14.6 m. Therefore the correct option is B.

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3 years ago

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Answer:

Step-by-step explanation:

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When a system of linear equations is graphed, how is the graph of each equation related to the solutions of that equation?

Kay [80]

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

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20 % of 2 is equal to <br>A. 20 <br>B. 4 <br>C. 0.4 <br>D. 0.04

AnnyKZ [126]

C is the answer yv6g7bubu

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Read 2 more answers

8x+7y=51 rate of change

quester [9]

Answer:

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Step-by-step explanation:

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