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3 years ago

1. the shape is a parallelogram. what is the measure of KL?

Mathematics

1 answer:

aleksklad [387]3 years ago

8 0

Answer:

1. KL = 29

2. angle J = 127 degree

3. angle of K = 53 degrees

Step-by-step explanation:

SInce it is a parrallelograme, one thing that will help you is to remember that opposits are the same.

1. KL = JM since they are opposite => KL = 29

2. angle J = angle L since they are opposite => angle J = 127 degrees

3. Since we know that angle J and L are both equal to 127 degree and since the sum of the angles of a parralelogram is 360 degrees, so the sum of the angles of K and M is: 360 - 127 - 127 = 106 degrees.

Since K's and M's angles are equale => 106 / 2 = 53 degrees.

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Step-by-step explanation:

We must isolate the x by itself.

We need to add 5 to both sides of the equation so it cancel out from the side with x.

So x = 22

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3 years ago

If the numerator of a fraction is increased by six, the value of the fraction will increase by one. If the denominator of the or

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Answer:

$\dfrac{7}{6}$

Step-by-step explanation:

Let $\dfrac{a}{b}$ be the original fraction.

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$\dfrac{a+6}{b}=\dfrac{a}{b}+1$

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$\dfrac{a}{b+36}=\dfrac{a}{b}-1$

Add these two equalities:

$\dfrac{a+6}{b}+\dfrac{a}{b+36}=\dfrac{a}{b}+1+\dfrac{a}{b}-1\\ \\\dfrac{a+6}{b}+\dfrac{a}{b+36}=2\dfrac{a}{b}\\ \\\dfrac{a}{b+36}=\dfrac{2a-(a+6)}{b}\\ \\\dfrac{a}{b+36}=\dfrac{a-6}{b}\\ \\ab=(a-6)(b+36)\\ \\ab=ab+36a-6b-216\\ \\36a-6b-216=0\\ \\6a-b-36=0\\ \\b=6a-36$

Substitute it into the first equation:

$\dfrac{a+6}{6a-36}=\dfrac{a}{6a-36}+1\\ \\\dfrac{a+6}{6(a-6)}=\dfrac{a}{6(a-6)}+1\\ \\a+6=a+6(a-6)\\ \\a+6=a+6a-36\\ \\6a=6+36\\ \\6a=42\\ \\a=7\\ \\b=6\cdot 7-36=42-36=6$

Thus, the initial fraction was

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4 years ago

Two scuba divers are 30m apart below the surface of the water. They both spot a shark that is below them. The angle of depressio

Ostrovityanka [42]

Answer:

distance of diver 1 from the shark ≈ 18.88 m

Step-by-step explanation:

The illustration forms a triangle. The base of the triangle which is their distance apart is given as 30 m . The known angle of the triangle are 52° and 39°. To find the unknown side we subtract the sum of 52° and 39° from 180°. Note that the total angle in a triangle is 180°.

Therefore,

180 - (52 + 39) = 180 - 91 = 89 °. Now the three angle of the triangles are 52°, 39° and 89°.

Using the law of sine we can find the distance of the diver 1 from the shark.

let a = distance of the first diver to the shark.

a/sin 39° = 30/sin 89°

cross multiply

a sin 89° = 30 sin 39°

divide both sides by sin 89°

a = 30 sin 39°/sin 89°

a = 30 × 0.62932039105 /sin 89°

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