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4 years ago

Determine the value of x for which rls if . m2i = 80 - X; and mz2 = 90 - 2x .

Mathematics

1 answer:

Slav-nsk [51]4 years ago

6 0

Answer:

x = 10

Step-by-step explanation:

For the lines to be parallel, the two angles must have the same measure:

80 - x = 90 - 2x

x = 10 . . . . . . . . . add 2x-80

The value of x must be 10 to make the lines parallel.

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How do find the circumference of part of a circle

Maslowich

Circumference of a circle is 2 x pi x r

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3 years ago

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Find the area of the composite figure.

Roman55 [17]

Answer:

The Area of the composite figure would be 76.26 in^2

Step-by-step explanation:

According to the Figure Given:

Total Horizontal Distance = 14 in

Length = 6 in

To Find :

The Area of the composite figure

Solution:

Firstly we need to find the area of Rectangular part.

So We know that,

$\boxed{ \rm \: Area \: of \: Rectangle = Length×Breadth}$

Here, Length is 6 in but the breadth is unknown.

To Find out the breadth, we’ll use this formula:

$\boxed{\rm \: Breadth = total \: distance - Radius}$

According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,

$\longrightarrow\rm \: Length \: of \: the \: circle = Radius$

Since Length = 6 in ;

$\longrightarrow \rm \: 6 \: in = radius$

Hence Radius is 6 in.

So Substitute the value of Total distance and Radius:

Total Horizontal Distance= 14
Radius = 6

$\longrightarrow\rm \: Breadth = 14-6$

$\longrightarrow\rm \: Breadth = 8 \: in$

Hence, the Breadth is 8 in.

Then, Substitute the values of Length and Breadth in the formula of Rectangle :

Length = 6
Breadth = 8

$\longrightarrow\rm \: Area \: of \: Rectangle = 6 \times 8$

$\longrightarrow \rm \: Area \: of \: Rectangle = 48 \: in {}^{2}$

Then, We need to find the area of Quarter circle :

We know that,

$\boxed{\rm Area_{(Quarter \; Circle) } = \cfrac{\pi{r} {}^{2} }{4}}$

Now Substitute their values:

r = radius = 6
π = 3.14

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 6 {}^{2} }{4}$

Solve it.

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 36}{4}$

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times \cancel{{36} } \: ^{9} }{ \cancel4}$

$\longrightarrow\rm Area_{(Quarter \; Circle)} =3.14 \times 9$

$\longrightarrow\rm Area_{(Quarter \; Circle) } = 28.26 \: {in}^{2}$

Now we can Find out the total Area of composite figure:

We know that,

$\boxed{ \rm \: Area_{(Composite Figure)} =Area_{(rectangle)}+ Area_{ (Quarter Circle)}}$

So Substitute their values:

$\rm Area_{(rectangle)}$ = 48
$\rm Area_{(Quarter Circle)}$ = 28.26

$\longrightarrow \rm \: Area_{(Composite Figure)} =48 + 28 .26$

Solve it.

$\longrightarrow \rm \: Area_{(Composite Figure)} =\boxed{\tt 76.26 \:\rm in {}^{2}}$

Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.

$\rule{225pt}{2pt}$

I hope this helps!

3 0

2 years ago

9/3

hjlf

Answer:

$960

Step-by-step explanation:

Given data

Principal=$800

rate= 4%

time= 5years

Applying the compound interest expression we have]

A=P(1+rt)

substitute

A=800(1+0.04*5)

A=800(1+0.2)

A=800*1.2

A=$960

8 0

3 years ago

Solve for x 108 degrees 72 degrees 18 degrees 17 degrees

djverab [1.8K]

Answer:

18 degrees

Step-by-step explanation:

the figure is 90 degrees so to find the missing angle you use the the given information (72 degrees), so 90 - 72 = 18 and thats the missing angle

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3 years ago

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Which expression is equivalent to –5(6x – 3) – 4(–2x + 1) + 3(4x) – 8?

Sedaia [141]

Answer:

C = -10x+3

Step-by-step explanation:

So the simplified version of the main expression is -10x+3. after finding the main expression you just need to simplify the rest of them too.

A. = -10x+9

B. = 8x-9

C. = -10x+3

D. = -10x-3

Now that you simplified all the expressions, you can pick out the one that's the same as the target expression, which is C.

8 0

3 years ago

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