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3 years ago

How do you find the answer

Mathematics

1 answer:

liubo4ka [24]3 years ago

4 0

It is E X= 22

J LINE SUPPLEMENTARY ANGLE so
the angle is = 180 - (5x-16 ) = 180-5x +16 =196 -5x ( angle in the triangke )

the other angle in the triangle = 50 ( alt interior angles line l parallel m
then we took the triangle sum = 180

<span>196 -5x </span> + 2x +50 = 180
so x = 22

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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

-2(x+1)+4x<-10 what’s the solution

LenKa [72]

Answer is -3 i THINK

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3 years ago

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MakcuM [25]

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3 years ago

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Reil [10]

Answer:

-4449/-4656

Step-by-step explanation:

There is not much that can be done to figure out how to write .9555555555555 as a fraction, except to literally use what the decimal portion of your number, the .9555555555555, means.

Since there are 13 digits in 9555555555555, the very last digit is the "10000000000000th" decimal place.

So we can just say that .9555555555555 is the same as 9555555555555/10000000000000.

The fraction fmtterm: Can't handle [-2147483648/-2147483648] ? is not reduced to lowest terms. We can reduce this fraction to lowest

terms by dividing both the numerator and denominator by -2.14748e+09.

Why divide by -2.14748e+09? -2.14748e+09 is the Greatest Common Divisor (GCD)

or Greatest Common Factor (GCF) of the numbers 9.55556e+12 and 1e+13.

So, this fraction reduced to lowest terms is

So your final answer is: .9555555555555 can be written as the fraction

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3 years ago

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fenix001 [56]

Answer:

2/7, 5/3, 6/2

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2/7 is a proper fraction, so it's the smallest of these.

5/3 is greater than 1, but less than 2 & 6/2 is 3, so the order is 2/7, 5/3, 6/2.

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