The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?

Answer:

From one point, you can draw two tangents to a circle. These two tangents will be equal.

Step-by-step explanation:

7x - 24 = 57 - 2x.

Rearrange the numbers (by adding 2x and 24 on both sides), we get:

7x+2x = 57 + 24

9x = 81.

x = 9.

Length of PQ = 57-2x = 57 - 18 = 39

If PQ and PR are tangent to circle S, then the value of PQ is 39.

"A line that touches the circle at a single point is known as a tangent to a circle."

"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."

P is the exterior point of a circle.

PQ and PR are the tangents to circle S.

According to theorem,

The lengths of the tangents drawn from a same external point to a circle are always equal.

7x - 24 = 57 - 2x

7x + 2x = 57 + 24

9x = 81

x = 9

PQ = 7x - 24

PQ = 7(9) - 24

PQ = 63 - 24

PQ = 39

Hence, the value of PQ is 39.

To learn more about tangent of a circle here

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Answer:

in a parallelogram .......the sum.of adjacent angles is 180

11x-10+80=180

11x=110

x=10

Given:

The pairs of angles are:

36°,24°

18°,72°

96°,84°

To find:

Whether each pair of angle measurements are complementary, supplementary or neither.

Solution:

Two angles are complementary if there sum is 90 degrees.

Two angles are supplementary if there sum is 180 degrees.

For 36° and 24°,

[tex]36^\circ+24^\circ =60^\circ[/tex]

So, this pair is neither complementary not supplementary.

For 18° and 72°,

[tex]18^\circ+72^\circ =90^\circ[/tex]

So, this pair is complementary.

For 96° and 84°,

[tex]96^\circ+84^\circ =180^\circ[/tex]

So, this pair is supplementary.

Answer:

$223.45

Step-by-step explanation:

premium fuel: 4.59 x 545

= 2501.55

regular fuel: 4.18 x 545

=2278.1

2501.55-2278.1 = 223.45

Answer:

x is I think 5

Step-by-step explanation:

dndjdudjndndjdjdjjd

Answer:

51

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

Answer:

A parallelogram is a quadrilateral

Her why:

whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal.

Answer:

Holes got it right :)

Step-by-step explanation:

Answer

difficulty levels

Step-by-step explanation:

took the test

sorry different question

Answer:

4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00

Step-by-step explanation:

Mean  5.875

Median  6

Mode 6.00

Answer:

The answer is 1x+(-14)

Step-by-step explanation:

Step 1: Write the expression(3x-6)-(2x-8)

Step 2: Do KCC to the whole expression (keep change change)

(3x-6)+(-2x+-8)

Step 3: Rewrite with the like terms together.

(-2x+3x)+(-6+-8)

Step 4: Combine the like terms

1x+(-14)

Answer:

{1} x + 2y = 13

{2} 3x - 5y = 6

x = 13 - 2y

substituting into {2}

3x -5y = 6

3( 13 - 2y) - 5y = 6

39 - 6y -5y = 6

-11y = 6 -39

y = -33 /-11

 ( minus and minus cuts in fraction, so the answer will come in positive)

y = 3

now , substituting into {1}

x + 2(3) = 13

x = 13 -6

x = 7

so,

the solution are:-

x = 7

y = 3

I hope this helps a little bit.

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]r=\sqrt{(-5-(-2))^2+(3-1)^2}[/tex]

[tex]r=\sqrt{(-5+2)^2+(2)^2}[/tex]

[tex]r=\sqrt{(-3)^2+(2)^2}[/tex]

On further simplification, we get

[tex]r=\sqrt{9+4}[/tex]

[tex]r=\sqrt{13}[/tex]

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and [tex]r=\sqrt{13}[/tex].

[tex](x-(-2))^2+(y-1)^2=(\sqrt{13})^2[/tex]

[tex](x+2)^2+(y-1)^2=13[/tex]

Therefore, the equation of the circle is [tex](x+2)^2+(y-1)^2=13[/tex].

Answer:

Step-by-step explanation:

OA) -72

Answer:

Y = 3

X = 2

Step-by-step explanation:

(6x2) = 12

(8x3) = 24

12 + 24 = 36

(6x2) = 12

(5x3) = 15

12 + 15 = 27

Answer:

2x² + 4x + 1

Step-by-step explanation:

Given the question :

4x^3+18x^2+22x+5 divided by 2x+ 5

Dividend = 4x^3+18x^2+22x+5

Divisor = 2x + 5

In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture

Answer:

c

Step-by-step explanation:

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

Answer:

A = 1/2 (13) ( 9 +9)

A = 1/2 (13) (18)

A = 117

Answer: $60

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here V = 226 and r = 12 ÷ 2 = 6 , then

[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )

3.14 × 36h = 678

113.04h = 678 ( divide both sides by 113.04 )

h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )

Answer:

4.25 hours

Step-by-step explanation:

Given that :

Game broadcast time = 2 5/6 hours = 17/6 hours

Commercials time = 2/3 hours

2/3 hours of commercials = 17/6 of game broadcast

1 hour of commercials = x hours of game broadcast

Cross multiply ;

(2/3)x = 17/6

2x * 6 = 17 * 3

12x = 51

x = 51 / 12

x = 4.25

For every hour it shows commercials, game is broadcasted for 4.25 hours

Answer:

surface area of prism= 2(lb+bh+lb)

surface area of prism= 2(6×6+6×5+5×6)

surface area of prism= 168cm²

formula=2(lb+bh+hl)

sides=12 sides

total surface area =168cm²

volume of prism=l×b×h

volume of prism=6×6×5

volume of prism=180cm³

Answer:

4x + 8

-45 - 5x

7x - 21

Step-by-step explanation:

For the first one

4(x + 2)

for distributive property you multiply the number or symbol next to the outside of the parenthesis, by everything inside the parenthesis.

4(x+2)

4*x = 4x

4*2 = 8

So, this is 4x + 8

-5(9+x)

-5*9= -45

-5*x=-5x

So, this is -45 - 5x

7(x-3)

7*x= 7x

7*-3= -21

This will be 7x - 21

Hope this helps!!

-Ketifa

Answer:

2:48

Step-by-step explanation:

48 minutes passed and he went outside at 2:00 im not sure what they mean by write it in 2 ways though

Answer: 90

Step-by-step explanation:

Answer:

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters