in the figure 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:

The rate of percent is 5%

Step-by-step explanation:

Answer:

11.5

Step-by-step explanation:

add 18 to both sides

divide by 6

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

The volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid

The ratio of the area is given as:

[tex]R= \frac{\pi r^2}{4r^2}[/tex]

or

[tex]R= \frac{\pi}{4}[/tex]

The volume of a cone is:

[tex]V_1 = \frac 13 \pi r^2 h[/tex]

For a pyramid, the volume is:

[tex]V_2 = \frac 43 r^2h[/tex]

Rewrite as:

[tex]V_2 = 4 * \frac 13 r^2h[/tex]

Divide by 4

[tex]\frac{V_2}{4} = \frac 13 r^2h[/tex]

Substitute [tex]\frac{V_2}{4} = \frac 13 r^2h[/tex] in [tex]V_1 = \frac 13 \pi r^2 h[/tex]

So, we have:

[tex]V_1 = \frac{V_2}{4} * \pi[/tex]

This gives

[tex]V_1 = \frac{\pi}{4} V_2[/tex]

Hence, the volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid

Read more about volumes at:

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Answer:

10.5618feet, 0.8125sec

Step-by-step explanation:

Given the height reached by the catapult expressed by the equation H=-16T^2+26T

At the maximum height, the velocity of the object is zero, hence;

v = dh/dt = 0

-32t + 26 = 0

-32t = -26

t = 26/32

t = 0.8125secs

Hence it will attain the maximum height after 0.8125second

Substitute t = 0.8125s into the expression to get the maximum height

H=-16t^2+26t

H = -16(0.8125)^2 + 26(0.8125)

H = -16(0.6602) + 21.125

H = -10.5632+21.125

H = 10.5618

hence the maximum height reached by the ball is 10.5618feet

Answer:

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:

60º

Step-by-step explanation:

180º-35º-85º=60º

Answer:

$400 change

Step-by-step explanation:

If Ashley owns 40 shares, and each share went up by $10, you can do

40x10=400 to find the change in value

Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

Answer:

False

Step-by-step explanation:

ok so

9 + 4 = 13

-13 * 13 = -169

79 + 16 = 95

-165 does not equal 95

Hope this helps!!

Answer:

f^-1(x)= -x/5 - 4/5

Step-by-step explanation:

Your answer should be 12 feet, we do 4 * 15 which is 60, then divide by 5 which means 12 is your answer, or A.

Answer:

C

Step-by-step explanation:

Your answer is C this is just observation so no need for explanation

Answer:

500,000 people

Step-by-step explanation:

2 x 10^5 x 2.5

= 2 x 100,000 x 2.5

= 200,000 x 2.5

= 500,000

Answer:

500000

Step-by-step explanation:

2×10^5=2×100000=200000×2.5=500000

Answer:

47.14 m²

Step-by-step explanation:

Recall that the central angle of a full circle is 2π radians or 360°.  The area of the sector bounded by a 150° arc is the fraction

150°

------- times the area of the full circle (πr²):

360°

(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²

Answer: I think the answer is 63.

Step-by-step explanation:

Im sorry if im wrong.

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:

there are 25 1/5 cups

Step-by-step explanation:

25/5=5

hope this helps

Answer:

25 servings

Step-by-step explanation:

to fill one cup, 5 servings would have to be, um... served.

for 5 cups, it would have to be 5 cups in each of the 5 cups, so 5 * 5, which makes 25 servings

(p.s., pls mark me brainliest, and have a great day!)

Answer:

Holes got it right :)

Step-by-step explanation:

Answer

difficulty levels

Step-by-step explanation:

took the test

sorry different question

Answer: [tex]282\ in.^2[/tex]

Step-by-step explanation:

Given

dimension of box are

[tex]h=22\ in.\\[/tex]

Square base length is [tex]l=3\ in.[/tex]

[tex]\therefore w=3\ in.[/tex]

The surface area of a rectangular prism is

[tex]S.A.=2[lb+bh+hl][/tex]

The paper area must be equal to the surface area of the prism

[tex]S.A.=2[22\times 3+3\times3 +3\times 22]\\S.A.=2\times 141=282\ in.^2[/tex]

Answer:

0x 57=63

Step-by-step explanation:

Answer:

E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is translated a units right and b units down, the new location of the point is at A'(x + a, y - b)

The location of the vertices of quadrilateral EFGH is E(-5, -1), F(-4, -3), G(-2, -3) and H(-1, -1). If quadrilateral EFGH is translated 3 units right and 2 units down, the new location would be:

E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).

Answer:

32 units squared

Step-by-step explanation:

8(4) = 32

Answer:

morning  =  -13°C

afternoon = 4°C

so,

x = (morning - afternoon)

I hope this helps a little bit.

Answer:

7 x = -35

Step-by-step explanation:

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.

- 7 x = negative 35

- 7 x = 35

7 x = negative 35

7 x = 35

In this problem we need to add the equations below i.e.

11x-3y = -17 and -4x+3y=-18

Adding both equations,

11x-3y+(-4x)+3y = -17+(-18)

7x= -35

or

7 x = negative 35

Hence, the correct option is (c).

Answer: 1X52=73

Step-by-step explanation:

Answer:

Danny it 60 4 2 hours u save $12