PQ, QR, RS, and SP are tangent to ⨀ X. Find RS.

Answer:

The first number is 16

The second number is 6

The third number is 64

Step-by-step explanation:

The information from the word problem are;

The count of the numbers in the sum = 3 numbers

The value of the sum of the three numbers = 86

The value of the third number = 4 × The value of the first number

The value of the first number = 10 + The value of the second

Let 'x' represent the first number, let 'y' represent the second number and let 'z' represent the third number, we have;

x + y + z = 86...(1)

z = 4 × x...(2)

x = y + 10...(3)

From equation (3), we get;

x = y + 10

∴ y = x - 10...(4)

Substituting the value of z from equation (2) and the value of y from equation (4) in equation (1) gives;

x + y + z = 86

z = 4 × x = 4·x

y = x - 10

∴ x + y + z = x + (x - 10) + 4·x = 86

x + (x - 10) + 4·x = x + x - 10 + 4·x = 6·x - 10 = 86

6·x = 86 + 10 = 96

∴ x = 96/6 = 16

x = 16

From equation (2), we get;

z = 4 × x

∴ z = 4 × 16 = 64

z = 64

From equation (4), we get

y = x - 10

∴ y = 16 - 10 = 6

y = 6

Therefore; x = 16, y = 6, and z = 64

The numbers are 16, 6, and 64

Answer:

volume= 502.4cm

Step-by-step explanation:

see attachment for detailed solution

Answer:

Step-by-step explanation:

Formulae for Volume = Pi x r2 x h

Pi = 3.14 or 314/100 because the radius is not a product of 7

Radius = 4 cm

Height = 10 cm

314/100 x 4 x 4 x 10 = 512.4 cm2

= 512.4 cm2

Answer:

[tex]\frac{1}{(xy)^4}[/tex]

Step-by-step explanation:

*Question interpreted as "Write [tex](xy)^{-4}[/tex] with a positive exponent."

Recall the following exponent property:

[tex]a^{-b}=\frac{1}{a^b}[/tex]

Therefore, we have [tex](xy)^{-4}\implies \boxed{\frac{1}{(xy)^4}}[/tex]

Answer

x is the smallest angle so 12 is the answer.

Step-by-step explanation:

x + 2x + 4x + 6x + 7x + 10x = 360 degree (sum of exterior angles of a hexagon)

30x = 360

x = 360/30

x = 12

the smallest exterior angle of hexagon is 12 degree.

The measure of the smallest exterior angle is 12 degrees.

Polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

A hexagon is a six-sided polygon or 6-gon creating the outline of a cube.

The measures of the exterior angles of a hexagon are x°, 2x°, 4x°, 6x°, 7x°, and 10x°.

We need to find the smallest exterior angle which is x.

we know that the sum of the exterior angles of any polygon is always equal to 360.

x° + 2x° + 4x° + 6x° + 7x° + 10x° = 360

30x=360

Divide both sides by 30

x=360/30

x=12

Hence, the measure of the smallest exterior angle is 12 degrees.

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Answer:

see graph below

Answer:

the given relation is function because all elements of domain is mapped with the elements of range

Answer:

26.4

Step-by-step explanation:

hd hd hd hd hd hd hd hd hd hd hd hd

Answer:$61.6

Step-by-step explanation: The sale is 30% so we have to look for 70% of $88 because that's what we're paying for. So, that would be 88 times 70/100 which ends with 61.6.

Answer:

a,d,e

Step-by-step explanation:

75+a1 = 180

so a1=105

a1=x-15

105=x-15

x=120

then using rules of parallel lines with commone intersecting line gives the others.

Answer:

1. 8 units downwards and 2 units left

2.7 units right and 4 units upwards

3. 5 units right and 4 units downwards

Step-by-step explanation:

That how it goes

Answer:

a) F

b) B, E, D

Step-by-step explanation:

a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values

From the given option, the rate of change of the y to the x-values of B = the gradient = (4 units)/(2 units) = 2

The gradient of F = (-3units)/(1 unit) = -3

The gradient of A = 4/4 = 1

The gradient of C = -2/5

The gradient of D = 2/6 = 1/3

The gradient of E = 3/4

The segment with the greatest gradient is F

b) The steepest segment has the higher gradient

From their calculated we have;

The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3

Therefore, we have;

B, E, D.

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} +\frac{1}{6} +\frac{1}{3}[/tex]

4 = 2 × 2 × 1

6 = 2 × 3 × 1

3 = 3 × 1

GCF = 1

4 × 6 × 3 = 72

[tex]\frac{18}{72} +\frac{12}{72} +\frac{24}{72}[/tex]

[tex]\frac{18+12+24}{72}[/tex]

[tex]\frac{54}{72}[/tex]

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

GCF = 2 × 3 × 3

GCF = 18

[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{Looking for your LCD (Least Common Denominator) of each fraction}\downarrow\\\\\\\mathsf{\dfrac{1}{4}=\dfrac{3}{12}}\\\\\\\mathsf{\dfrac{1}{6}=\dfrac{2}{12}}\\\\\\\mathsf{\dfrac{1}{3}=\dfrac{4}{12}}\\\\\\\\\\\large\textsf{The LCD is \underline{12}}[/tex]

[tex]\mathsf{\dfrac{1}{4}+\dfrac{1}{6}+\dfrac{1}{3}}[/tex]

[tex]\mathsf{= \ \dfrac{1\times3}{4\times3}+\dfrac{1\times2}{6\times2}+\dfrac{1\times4}{3\times4}}[/tex]

[tex]\large\textsf{Solving for the numerators (TOP numbers)}\downarrow\\\\\mathsf{1\times3=\boxed{\bf 3}}\\\\\mathsf{1\times2=\boxed{\bf 2}}\\\\\mathsf{1\times4=\boxed{\bf 4}}[/tex]

[tex]\large\textsf{Solving for the denominators (BOTTOM numbers)}\downarrow\\\\\mathsf{4\times3=\boxed{\bf 12}}\\\\\mathsf{6\times2=\boxed{\bf 12}}\\\\\mathsf{3\times4=\boxed{\bf 12}}[/tex]

[tex]\mathsf{=\ \dfrac{3+2+4}{12}}[/tex]

[tex]\large\textsf{Solving for your numerator (TOP number) }\downarrow\\\\\\\mathsf{3+2+4}\\\\\mathsf{= 5+4}\\\\\mathsf{= \boxed{\large\textsf{\bf 9}}}[/tex]

[tex]\mathsf{=\ \dfrac{9}{12}}[/tex]

[tex]\mathsf{\dfrac{9\div3}{12\div3}}\\\\\\\\\mathsf{9\div3= \boxed{\large\textsf{\bf 3}}}\\\\\mathsf{12\div3=\boxed{\large\textsf{\bf 4}}}[/tex]

[tex]\mathsf{= \dfrac{3}{4}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\boxed{\mathsf{\bold{ \dfrac{9}{12}\ or\ \dfrac{3}{4}}\ either\ of\ those\ fractions\ should\ work\ because}}}}\\\boxed{\boxed{\large\textsf{they are equal to each other!}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex] {7}^{ - 8} [/tex]

Step-by-step explanation:

[tex] {7}^{ - 1} \times {7}^{ - 7} \\ {7}^{ - 1 + - 7} \\ {7}^{ - 8} [/tex]

Hope this helps you.

Answer:

Multiply each side by -4/6 to isolate x

Step-by-step explanation:

-6/4x = 12

Multiply each side by -4/6 to isolate x

-4/6 *(-6/4x) = 12*(-4/6)

x =-8

Answer:

12 divided by -6/4

Step-by-step explanation:

you need to isolate the x, since -6/4 is being multiplied to x, you gotta divide it to move -6/4 to the other side x=12 divided by -6/4

Step-by-step explanation:

please see my work as attached

Answer:

= 4/ 3

Step-by-step explanation:

-x+3/7=2x-25/7

We move all terms to the left:

-x+3/7-(2x-25/7)=0

We add all the numbers together, and all the variables

-x-(+2x-25/7)+3/7=0

We add all the numbers together, and all the variables

-1x-(+2x-25/7)+3/7=0

We get rid of parentheses

-1x-2x+25/7+3/7=0

We multiply all the terms by the denominator

-1x*7-2x*7+25+3=0

We add all the numbers together, and all the variables

-1x*7-2x*7+28=0

Wy multiply elements

-7x-14x+28=0

We add all the numbers together, and all the variables

-21x+28=0

We move all terms containing x to the left, all other terms to the right

-21x=-28

x=-28/-21

x=1+1/3

Answer:

x = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Given

- x + [tex]\frac{3}{7}[/tex] = 2x - [tex]\frac{25}{7}[/tex] ( multiply through by 7 to clear the fractions )

- 7x + 3 = 14x - 25 ( subtract 14x from both sides )

- 21x + 3 = - 25 ( subtract 3 from both sides )

- 21x = - 28 ( divide both sides by - 21 )

x = [tex]\frac{-28}{-21}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

Click the third one.

Answer:

3rd one

Step-by-step explanation:

Mark me brainliest pls

Hope this helps!

Answer:

188cm^2

Step-by-step explanation:

A regular decagon has ten sides. Therefore, a decagon with radius of 8 cm has an approximate area of 188 cm²

A decagon is a polygon with 10 sides.

Therefore, the approximate area of a decagon can be found as follows:

area of decagon =  r²sin(360/n) / 2 × 10

where

r = radius

n = number of sides

Therefore,

r = 8 cm

area of decagon = 8² sin (360/ 10) / 2 (10)

area of decagon = 64 sin 36 / 2 × 10

area of decagon = 64 × 0.58778525229 / 2 × 10

area of decagon = 37.6182561467 / 2 × 10

area of decagon = 18.8091280734 × 10

area of decagon = 188 cm²

learn more on decagon here: https://brainly.com/question/27314677

Answer:

Find the indicated sum for each geometric series.

{1875+750+300+⋯+3.072}

Answer: 3122.952

Step-by-step explanation:

{1875+750+300+⋯+3.072}

r=0.4 3.072=1875(0.4)n−1

0.0016384=(0.4)n−1

7=n−1→n=8

Sn=1875(1−(0.4)8)1−0.4=3122.952

I think is like this.

Answer:

First box

8pi-(7pi/4)= pi/4

Second Box:

Tan 7pi/4= 0.09625006863

Step-by-step explanation:

Step-by-step explanation:

x value is 0.2

y value is 3.2

Answer:

hope it helps you............

Answer:

-2/35.....................

Answer:

Area = 972 square feet

Step-by-step explanation:

Let  90 square meter be = x square feet

Given :

                      square meter             square feet

                              1                             10.8

                             90                            x

[tex]\frac{1}{90} = \frac{10.8}{x}\\\\1 \times x =10.8 \times 90 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ cross \ multiply \ ]\\\\x = 972[/tex]

Therefore , 90 square meter = 972 square feet

Answer:

$1043.33  

$494.47(1 +1)(1 + .055)

Step-by-step explanation:

Answer:

1.3 mL

Step-by-step explanation:

1 mg = 0.001 mL

1300 mg * 0.001 mL/mg = 1.3 mL

Answer: D. 3x +28 > 52

Step-by-step explanation:

Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:

With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.

Therefore, (3 × x) + 28 > 52

= 3x + 28 > 52.

We can calculate further

3x > 52 - 28

3x > 24

x > 24/3

x > 8

Therefore, 9 or more bracelets needs to be sold since x is greater than 8.

Therefore, the correct option is D 3x +28 > 52

Answer:

D. 3x + 28 > 52

Step-by-step explanation:

Answer:

The answer is 0 because the minimum is 5

Step-by-step explanation:

Use the formula  

x  =  −  b /2 a

to find the maximum and minimum.

( 0 , 5 )

This the answer

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).

PLZZ HELPPP

2x-3