Need some help with this. It says to find x.

Need Some Help With This. It Says To Find X.

Answers

Answer 1

Answer:

x= 5

Step-by-step explanation:

Since RQ= PQ,

3x= 15

Divide both sides by 3:

x= 15 ÷3

[tex]\textcolor{red}{x = 5}[/tex]

[tex]\textcolor{steelblue}{\text{Prove for RQ}= \text{PQ}}[/tex]

Let SP= x

RS= SP= x (given)

Let SQ= y

Applying Pythagoras' Theorem,

In triangle QRS

(RQ)²= (RS)² +(SQ)²

(RQ)²= x² +y²

[tex]RQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

In triangle QPS

(PQ)²= (SP)² +(SQ)²

(PQ)²= x² +y²

[tex]PQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

Thus, RQ= PQ.

Answer 2

Answer:

Step-by-step explanation:

3x = 15

3x/3 = 15/3

x = 5

3(5) = 15


Related Questions

(1/5)^3 as a simplified proper or improper fraction​

Answers

Answer:

1/5

Step-by-step explanation:

Hope this helps

Is this a function pls someone tell me

Answers

No this is not a function since it does not pass the vertical line test.One x value cannot have 2 or more y values.

Which property can be used to solve the equation?

5 d = 75
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality

Answers

Answer: Division of Equality

Step-by-step explanation: In this equation, using division, we can find what y is by dividing 5 on both sides. Y equals to 15.

Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!
I need help with these questions! Please help me. The choices are all true/false.
Please help me!!!!!!
Please provide in depth explanation too!!

Answers

Answer/Step-by-step explanation:

 All of the solutions to the equation 3x^2 - 12 = 0 are x = 12 and x = -2

Answer: False

Explanation:

[tex]3x^2-12+12=0+12[/tex]

[tex]3x^2=12[/tex]

[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]

[tex]x^2=4[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{4},\:x=-\sqrt{4}[/tex]

[tex]x=2,\:x=-2[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

There are two unique solutions to the equations (x-3)^2 = 16

Note: Each variable in the matrix can have only one possible value, and this is how you know that this matrix has one unique solution.

Answer: True

Explanation:

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=7,\:x=-1[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Ths solutions for the equation 2(x-3)^3 - 18 = 0 are x = 6 and x = 0

Answer: False

Explanation:

[tex]2\left(x-3\right)^3-18+18=0+18[/tex]

[tex]2\left(x-3\right)^3=18[/tex]

[tex]\frac{2\left(x-3\right)^3}{2}=\frac{18}{2}[/tex]

[tex]\left(x-3\right)^3=9[/tex]

[tex]\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]

[tex]=\sqrt[3]{9}+3,\:x=\frac{6-\sqrt[3]{9}}{2}+i\frac{\sqrt[3]{9}\sqrt{3}}{2},\:x=\frac{6-\sqrt[3]{9}}{2}-i\frac{\sqrt[3]{9}\sqrt{3}}{2}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Answer: False

Explanation:

[tex]2\left(x-5\right)^2-8+8=0+8[/tex]

[tex]2\left(x-5\right)^2=8[/tex]

[tex]\frac{2\left(x-5\right)^2}{2}=\frac{8}{2}[/tex]

[tex]\left(x-5\right)^2=4[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=7,\:x=3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

Answer: False

Explanation:

[tex]\left(x+3\right)^2-25+25=-8+25[/tex]

[tex]\left(x+3\right)^2=17[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{17}-3,\:x=-\sqrt{17}-3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

Answer: False

Explanation:

[tex]\frac{2\left(2x-1\right)^2}{2}=\frac{18}{2}[/tex]

[tex]\left(2x-1\right)^2=9[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=2,x=-1[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The only solution for equation (2x-1)^2-49=0 is x = 4

Answer: False
Explanation:

[tex]\left(2x-1\right)^2-49+49=0+49[/tex]

[tex]\left(2x-1\right)^2=49[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=4,\:x=-3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

Answer: True
Explanation:

[tex]3\left(x+2\right)^2-3+3=0+3[/tex]

[tex]3\left(x+2\right)^2=3[/tex]

[tex]\frac{3\left(x+2\right)^2}{3}=\frac{3}{3}[/tex]

[tex]\left(x+2\right)^2=1[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=-1,\:x=-3[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x  = -6

Answer: True

Explanation:

[tex]5x^2-180+180=0+180[/tex]

[tex]5x^2=180[/tex]

[tex]\frac{5x^2}{5}=\frac{180}{5}[/tex]

[tex]x^2=36[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{36},\:x=-\sqrt{36}[/tex]

[tex]x=6,\:x=-6[/tex]

~Lenvy~

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit. y=-6x^2+190x-826

Answers

Answer:

The maximum profit is $854

Step-by-step explanation:

Profit is the difference between the revenue and the cost price of an item. It is given by:

Profit = selling price - cost price

Since x represent the profit made by the company, is related to the selling price of each widget, x and it is given by the formula:

y = -3x² + 155x - 1148

At maximum profit, dy/dx = 0, hence:

dy/dx = -6x + 155

0 = -6x + 155

6x = 155

x = 25.83

The maximum profit is at gotten when the selling price of each widget is 25.83. Hence:

y = -3(25.83)² - 155(25.83) - 1148

y = $854

Therefore the maximum profit is $854

I need actual help on this.

Answers

Answer:

the average rate of change is D. -4

Help? im confused plss!
Find the area of the regular polygon with the given radius or apothem.

Answers

Answer:

okay so think of the polygon as like a rectangle in a way now use the method of finding a area with a triangle  

Step-by-step explanation:

A= bxh divide by 2 then A= bxh x 2

it worked for me

Please help with equivalent ratios

Answers

Answer:

The price for each pound of tuna is not always the same.

Step-by-step explanation:

What we do is divide the price by the amount of tuna to find the price for each amount of tuna

For the 1st one, we have $8 for 2 tuna so we do 8/2

8/2 = 4

For the 2nd we have $16 for 4 so we do 16/4

16/4 = 4

For the 3rd, we have $27 for 9 so we do 27/9

27/9 = 3

WHO IS GOOD AT MATH AND CAN HELP ME WITH 20 QUESTIONS



The rectangular prisms shown are packed with unit cubes. Match the rectangular prisms that have the same volume.

Answers

Answer:

Step-by-step explanation:

In order to find which prisms have the same, we use the formula:

A = L x W x H (Area = Length x Width x Height)

So, count the individual squares on each side, multiply them, and that is the area. Then, find which ones are the same:

Cube 1: A = 4 x 4 x 3 = 48

Cube 2: A = 6 x 4 x 2 = 48

Cube 3: A = 4 x 3 x 3 = 36

Cube 4: A = 8 x 2 x 2 = 32

Cube 5: A = 4 x 2 x 4 = 32

Cube 6: A = 6 x 2 x 3 = 36

So, Cube 1 and Cube 2 are the same with 48.

Cube 3 and Cube 6 are the same with 36.

Cube 4 and Cube 5 are the same with 32.

:)

Answer: 1 and 2, 4 and 5, and 3 and 6.

Step-by-step explanation: To find the volume of a rectangular prism, you multiply the length, width, and height to get the volume.  The volumes for each cube is in the order of top left and continue until the bottom right.

48 cubic units.48 cubic units.36 cubic units.32 cubic units.32 cubic units.36 cubic units.

From there, you can match them, and then your answer is complete.

Let me know if this is right! :)

Find the value of X and show your work.

Answers

[tex]3x-17+x+40+2x-5=180\\3x+x+2x-17+40-5=180\\6x+18=180\\6x=180-18\\6x=162\\x=27[/tex]Answer:

Step-by-step explanation:

Since the sum of all interior angles of a triangle sums up to 180.

Help will give brainleiest

Answers

Answer:

40" by 50"

Step-by-step explanation:

From inspection of the diagram,

height of 2 squares of the quilt ≈ height of doll plus a little bit

⇒ height of 2 squares of the quilt ≈ 18 + 2 = 20 in

⇒ height of 1 square of the quilt ≈ 20 ÷ 2 = 10 in

As the height of a square = width of a square

⇒ width of 1 square of the quilt ≈ 10 in

Dimensions of the quilt

width = 4 squares = 4 × 10 = 40 in

height = 5 squares = 5 × 10 = 50 in

Ratios

We can also work out the width and height by using ratios.

The ratio of width to height of the quilt = 4 squares : 5 squares

If we multiply by 10, the ratio becomes 40 : 50

Final Solution

40" by 50"

Leslie has a watering can that holds 3 liters of water. She uses 250 milliliters of water on each of her plants.
How many plants can she water? Enter your answer in the box

Answers

Answer:

12

Step-by-step explanation:

Convert the 3 liters into milliliters and then divide it normally or in the fraction way

because it's a drag and drop, I added a screenshot below.

Answers

Answer:

The one on top is y^8 - 1/y^8   (option 1)

The one on the bottom is 1/y^8 + 1/y^2  (option 5)

13 point
A square box has a height of 21 inches. What is the measure of the
diagonal of the box? Round to the tenths place.

Answers

Answer:

29.7 inches

Step-by-step explanation:

if it's a square box we can assume that all sides are equal. so the width is also equal to 21 inches.

to find the diagonal we use the pythagorean theorem which states that a^2 +b^2 =c^2 where c is the diagonal and (a) and (b) are 21

so diagonal is the root of

21^2 + 21^2

answer is 29.7

Which of the following polynomials has solutions that are not real numbers?
x2 - 6x +3
x2 + 4x +3
-X2 - 9x - 10
x2 + 2x + 3

Answers

Answer:

4

Step-by-step explanation:

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

√2 x √27 use the properties of radicals to simplify

Answers

Answer: look at the image

Step-by-step explanation:

can someone help meeeeee

Answers

Answer:

Area of shaded rectangle = 42 cm²

55%

Step-by-step explanation:

The length of the shaded area is equal to the length of the white rectangle.

Therefore, length of shaded rectangle = 7 cm

The width of the shaded rectangle is equal to the length of the white rectangle minus two widths of the white rectangle.

Therefore, width = 7 - (2 x 0.5) = 6 cm

Area of shaded rectangle = width x length

                                          = 6 x 7

                                          = 42 cm²

----------------------------------------------------------------------------------------------

Perimeter of a square = 4 × side length

If the perimeter of the square is 40 cm,
then the side length = 40 ÷ 4 = 10 cm

Area of a square = side length x side length

⇒ area of this square = 10 x 10 = 100 cm²

To determine the shaded area, calculate the areas of the 2 white triangles and subtract these from the area of the square.

Area of a triangle = 1/2 x base x height

⇒ area of left triangle = 1/2 x (10 - 7) x 10 = 15 cm²

⇒ area of right triangle = 1/2 x 10 x (10 - 4) = 30 cm²

Therefore, shaded area = 100 - 15 - 30 = 55 cm²

To calculate the percentage, divide the shaded area by the area of the square and multiply by 100:

(55 ÷ 100) × 100% = 55%

1. In the four graphs below, determine what transformation was used to transform AABC
to AA'B'C'. Then, for each one, write the
correct description of the transformation
-along with the algebraic notation

the graph is in the image

Answers

Answer:

first would be a translation of (2,-3) second one is another 90 degree rotation counter clockwise.


James correctly proves the similarity of triangles DAC and DBA as shown.

HELP PLSSSS ASAP

Answers

Answer:

  AA similarity postulate

Step-by-step explanation:

Triangles are similar if corresponding angles are congruent or if corresponding sides are proportional.

Here, the missing reason in the proof follows a step in which two angles are shown congruent. That means you can claim similarity by the AA similarity postulate.

__

Additional comment

The similarity postulates include ...

  AA -- two corresponding angles (the third angle is determined by these two)

  SSS -- three proportional corresponding sides

  AAS -- two congruent angles and a proportional corresponding side

  ASA -- a variation of AAS

  SAS -- proportional corresponding sides flanking a congruent angle

With the exception of AA, these are the same postulates as used to prove triangle congruence when the corresponding sides are congruent, rather than proportional.

The quotient of c and 6 is greater than or equal to -20
Translate the sentence into an inequality.

Answers

Answer:

c/6 ≥ -20

Step-by-step explanation:

The quotient of c and 6 basically means c divided by 6 (minor note: we also go by the order it's written in). We place in '≥' in this inequality because, greater than means '>' and the line underneath it signifies an equal to sign, and as a result of this, we get -20.

Karen's mom is filling 12 birthday hats with candy for her birthday party. Each hat is shaped like a cone with a height of 6 inches and a radius of 3 inches.
Which statements are true? Choose all that are correct.

Answers

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a cone is given by:

volume = (1/3) * π * radius² * height

The cone that has a height of 6 inches and a radius of 3 inches. Hence:

Volume = (1/3) * π * 3² * 6 = 56.55 in³

For 12 hats:

Volume = 12 *  56.55 in³ = 678.58 in³

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

Find out more on volume at: https://brainly.com/question/12410983

5x + 2 =3x - 14
Simplify and solve the following


hey

Answers

Answer:

x=-8

Step-by-step explanation:

5x-3x=-2-14

2x=-16

x=-8

Which set of directions correctly describes how to plot the point (5, 7) on the coordinate plane?
1) Start at the origin. Move 5 units up, then move 7 units to the right.
2)Start at the origin. Move 5 units up, then move 7 units to the left.
3)Start at the origin. Move 5 units to the right, then move 7 units up.
4)Start at the origin. Move 5 units to the left, then move 7 units up.

Answers

Answer:3

Step-by-step explanation:

X is the midpoint of WY and V is the midpoint of WZ.
If YZ=t and VX=t–25, what is the value of t?

Answers

Answer:

50

Step-by-step explanation:

By the triangle midsegment theorem, 2(VX)=YZ.

This means that 2(t-25)=t, and thus t=50.

Which set of algebra tiles represents the sentence below?Carlton earned 3 more stamps

Answers

1 box contains x and 3 boxes contain plus signs
1 box contains x 3 5 7

Find the slope of the line that passes through (9, 6) and (4, 5).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

slope = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )

m = [tex]\frac{5-6}{4-9}[/tex] = [tex]\frac{-1}{-5}[/tex] = [tex]\frac{1}{5}[/tex]

Help!! This is i-ready!!! Will get brainiest!!!

Answers

Answer:

It would be,

The people who volunteer usually have a motive to do so and will be the only ones represented.

Step-by-step explanation:

(1) In the adjacent figure, congruent sides of ABCD are shown by identical marks. State if there are any pairs of congruent angles in the figure. A


Remove Congruent pairs too ​

Answers

Answer:

Step-by-step explanation:

(ii) Two of the lights at the local stadium start flickering at 9:15 p.m. One of the lights flickers every 8
minutes and the other light flickers every 12 minutes. What time both lights flicker at the same time
again?

PLSS HELPPP

Answers

Answer:

At 9:39 they both will Flick

Step-by-step explanation:

so when the first light flicks it resets and starts counting to anthor 8 mins while the other takes 4 mins extra just keep adding till they both have same time

what is the surface area and volume of this figure? urgent!

Answers

Answer:

V=4960in^3

S.A=2116in^2

Step-by-step explanation:

36x2

1- 72in^2

5-2=3in

8x3

2- =24in^2

5-2=3in

5+3=8in

8x10

3- =80in^2

36-(10+8)=

0.5×18×8

4-=72in^2

72+24+80+721

C.S.A=248in^2

V= 248×20

=4960in^3

248x2

1- =496in^2

36x20

2- =720in^2

20×2

3- =40in^2

20×5

4- =100in^2

20×8

5- =160in^2

20×20

6- =400in^2

20×10

7- =200in^2

=496+720+40+100+160+400+200

=2116in^2

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