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3 years ago

Two parallel lines are crossed by a transversal.

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

4 0

Answer: y = 50 degrees

liubo4ka [24]3 years ago

4 0

Answer: y= 50

Step-by-step explanation:

The angles that are formed inside the two lines and on opposite sides of the transversal are known as alternate interior angles.

Consider the given figure , we can see that line b and line c are intersected by a transversal so by the definition of alternate interior angles,

The alternate interior angles formed = $y^{\circ}$ and $50^{\circ}$

Since we are given that two parallel lines are crossed by a transversal.

Then the alternative interior angles must be congruent.

$\Rightarrow\ y^{\circ}=50^{\circ}$

Hence, the value of y= 50

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Answer:

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4 years ago

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V125BC [204]

Answer:

see explanation

Step-by-step explanation:

Using the exact values of the trigonometric ratios

sin60° = $\frac{\sqrt{3} }{2}$ , cos60° = $\frac{1}{2}$

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Using the sine ratio on the right triangle on the left

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{4\sqrt{3} }$ = $\frac{\sqrt{3} }{2}$

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Using the cosine ratio on the same right triangle

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Cross- multiply

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Using the sine/cosine ratios on the right triangle on the right

sin45° = $\frac{a}{b}$ = $\frac{6}{b}$ = $\frac{1}{\sqrt{2} }$

Cross- multiply

b = 6 $\sqrt{2}$

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Cross- multiply

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------------------------------------------------------------------------------------------------

a = 6, b = 6 $\sqrt{2}$ , c = 2 $\sqrt{3}$ , d = 6

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3 years ago

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Answer:

I think it is 8! Sorry if it's wrong!

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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