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nignag [31]
3 years ago
7

In the given figure what is the value of x?

Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

Answer:

30 in

Step-by-step explanation:

a2+b2 = c2

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Write the equation of the line from the graph.​
Ket [755]

Answer: x=-5

Step-by-step explanation:

Graph has no y intercept, thus has to be equal to x, and since its -5... x=-5 is your answer

7 0
2 years ago
Find the measure of
Ivenika [448]

Answer:

The measure of angle BAC is 20°

Step-by-step explanation:

step 1

Find the measure of arc BC

we have that

m∠BOC=arc BC ------> by central angle

we have

m∠BOC=40°

therefore

arc BC=40°

step 2

Find the measure of angle BAC

we know that

The inscribed angle is half that of the arc it comprises

so

m∠BAC=(1/2)[arc BC]

we have

arc BC=40°

substitute

m∠BAC=(1/2)[40°] =20°

3 0
3 years ago
Read 2 more answers
The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of
Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of a^{2} :b^{2}

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50(13689 -234x+x^{2} )=32x^{2}

Distribute the left side

684450-11700x+50x^{2}=32x^{2}

Subtract both sides 32x^{2} and rewrite it 18x^{2} -11700x+684450=0

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

x^{2}-650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0
3 years ago
How do you convert 15x + 17y = 17 into slope intercept form?
Daniel [21]

Answer:

y = -15/17x + 1

Step-by-step explanation:

15x + 17y = 17

17y = 17 - 15x

y = 1 - 15/17x

y = -15/17x + 1

8 0
3 years ago
Read 2 more answers
Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest
Black_prince [1.1K]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length =\dfrac{\theta}{360^\circ}X2\pi r

=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)

(b)Area of the sector

Area of the sector =\dfrac{\theta}{360^\circ}X\pi r^2

=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)

3 0
3 years ago
Read 2 more answers
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