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3 years ago

What is angle LKM? I need help right away please!!

Mathematics

2 answers:

kykrilka [37]3 years ago

8 0

Answer:

Angle LKM is 110

Step-by-step explanation:

Since all the angles in a triangle equal 180, and 60 is one angle you can see its an equilaterial triangle.

so x=60

Then 3(60)-70=110

So LKM=110

egoroff_w [7]3 years ago

3 0

Answer:

125, i don't know if I'm right though so try it? :)

Step-by-step explanation:

Well an exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees

180-60=120

120=x+(180-(3x-70))

x=65

3*65=195

195-70=125

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Find the length of the chord made by 3x2 - y2 = 3 and y + x – 5 = 0.

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Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ $3x^2-y^2=3$ ...(equation 1)

⇒ $y+x-5=0$ ...(equation 2)

According to the 2nd equation, we get

⇒ $y+x-5=0$

⇒ $y=5-x$

On substituting the value of "y" in the 1st equation, we get

⇒ $3x^2-y^2=3$

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$3x^2-(25+x^2-10x)=3$

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On applying factorization, we get

$x^2+7x-2x-14=0$

$x(x+7)-2(x+7)=0$

$(x+7)(x-2)=0$

$x+7=0$

$x=-7$

or,

$x-2=0$

$x=2$

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

On substituting the values in the above formula, we get

= $\sqrt{(2-(-7))^2+(3-12)^2}$

= $\sqrt{(9)^2+(-9)^2}$

= $\sqrt{81+81}$

= $9 \sqrt{2}$ units

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