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3 years ago

How do I find out these arc measures?

Mathematics

1 answer:

yawa3891 [41]3 years ago

8 0

Angle SUR and PUQ are vertical angles and both = 42°

Line QS is a diameter and so angle PUQ + PTU + TUS = 180°

42° + 64° + angle TUS = 180° Therfore, angle TUS = 74°

Angle QUR + SUR = 180°. Therefore, angle QUR = 138°

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This is hard I need help

Andreyy89

Answer:

140.22 ft²

Step-by-step explanation:

Surface area is the sum of areas of 4 triangles.

Each triangle has:

b = 9 ft, h = 7.79 ft

Area of each triangle:

A = 1/2bh
A = 1/2*9*7.79 = 35.055 ft²

Surface area:

S = 4*35.055 = 140.22 ft²

4 0

3 years ago

Find the measures of this angle.

Mazyrski [523]

$m < a = 70 \\ m < b = 50 \\ m < c = 60$

5 0

3 years ago

PLEASE HELP Given: △KLM LM=12, m∠K=60°, m∠M=45° Find: Perimeter of △KLM.

worty [1.4K]

We have to find the perimeter of the triangle KLM.

We have been given that the length of the side LM=12, $m\angleK=60^\circ$ , and $m\angle M= 45^\circ$

Refer the attached image.

In a triangle sum of three angles should be $180^\circ$ .

So,

$m\angle K+m\angle L+m\angle M=180^\circ$

Plugging the values of angle K and angle M, we get:

$60^\circ+m\angle L+45^\circ=180^\circ$

So,

$m\angle L=180^\circ-105^\circ=75^\circ$

Now, that we have the measure of angle L, we will apply sine rule to find the length of the sides KL and KM.

Using the sine law for the triangle KLM, we get:

$\frac{sin K}{LM}=\frac{sin L}{KM}=\frac{sin M}{KL}$

Refer the image. Plugging the value of the sides of the triangle KLM and the angles of the triangle KLM, we get:

$\frac {sin 60^\circ}{12}=\frac{sin 75^\circ}{y}=\frac{sin 45^\circ}{x}$

Now using,

$\frac {sin 60^\circ}{12}=\frac{sin 75^\circ}{y}$

We get the value of 'y'

$y=\frac{sin 75^\circ}{sin 60^\circ} \times 12=\frac{0.9659}{0.866} \times 12=13.38$

So the length of the side KM is 13.38 units.

Now using,

$\frac {sin 60^\circ}{12}=\frac{sin 45^\circ}{x}$

We get the value of 'x'

$x=\frac{sin 45^\circ}{sin 60^\circ} \times 12=\frac{0.707}{0.866} \times 12=9.79$

So the length of the side KL is 9.79 units.

Now, to find the perimeter of the triangle KLM we need to sum up the length of the sides of the triangle KLM.

The perimeter of the triangle KLM $= KL+ LM + KM = 9.79 + 12 + 13.38 = 35.17$ units

6 0

3 years ago

Read 2 more answers

Renee and Thomas live at the beach and collect seashells. The number of shells Renee collects on any given day, R, is approximat

amm1812

Answer: .209

Step-by-step explanation:

took the test

7 0

3 years ago

[(2x + y) - 3] [(2x + y) + 3]

Anettt [7]

I'm guessing you're trying to simplify the equation since there is no other information lol

[(2x+y)-3]

So basically when you are trying to simplify equations you have to add the same variables together (In this case X & Y) But since there are no alike variables there really is nothing to add

So your answer would be 2x+y-3

Hoped this helped

7 0

3 years ago