Find the missing angle.

Mathematics

1 answer:

cestrela7 [59]1 year ago

5 0

Answer:

85 degrees

Step-by-step explanation:

The angles in a quadrilateral add to 360 degrees, so x+109+96+70=360.

This means that x=360-109-96-70=85 degrees

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Answer:

4 cm

Step-by-step explanation:

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What is the first step in finding the area of a composite figure?

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Answer:

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Help me please, Find a, b, and c.

Mama L [17]

Answer:

a = $6*\sqrt{3}$

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c = $6\sqrt{2}$

Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

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A 30-60-90 right triangle has side lengths $1 - \sqrt{3} -2$ .

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

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The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to $\sqrt{2}$ . This means $\sqrt{2}$ was multiplied by $12 = \sqrt{2} * \sqrt{72}$ . This means that side c is $\sqrt{72}=6\sqrt{2}$ .