Find the value of x.

Answer:

It is proved that 2PQ + 2SR + 2QR + 2 PS = 4(2(OP)+2(OQ))

Step-by-step explanation:

In a rhombus, all sides are equal.

Thus, in this question;

PQ = SR = QR = PS

By inspection, QS is the same dimension as the four sides. So, QS = PQ

Thus, OQ = PQ/2

For OP, we can find it using Pythagoreas theorem since the angle that divides the diagonals is 90°

Thus;

|OP|² + |OQ|² = |PQ|²

Earlier, we saw that;OQ = PQ/2

Thus;

|OP|² + |PQ/2|² = |PQ|²

|OP|² = |PQ|² - |PQ/2|²

|OP|² = |PQ/2|²

Taking square root of both sides, we have;

OP = PQ/2

So,going back to the question, on the right hand side, we have;

4(2(OP) + 2(OQ))

Let's put,

PQ/2 for OQ and OP as gotten earlier

So,

4(2(PQ/2) + 2(PQ/2)) = 4(PQ + PQ)

Since PQ = SR = QR = PS, we can rewrite as;

4PQ + 4PQ = (PQ + SR + QR + PS) + (PQ + SR + QR + PS) = 2PQ + 2SR + 2QR + 2 PS

This is equal to the left hand side, so the equation is proved correct.

Answer:

- 8

Step-by-step explanation:

Note that [tex]\frac{dy}{dx}[/tex] is the slope of the tangent at x = a

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = 3x² - 2x + 5, then

[tex]\frac{dy}{dx}[/tex] = 6x - 2

x = - 1 : [tex]\frac{dy}{dx}[/tex] = 6(- 1) - 2 = - 6 - 2 = - 8

Answer:

Correct option: c) infinitely many solutions

Step-by-step explanation:

We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.

To find some solutions, we can choose values for x and then just calculate the value of y:

x = 0:

-11y = 10 -> y = -10/11

x = 1:

3 - 11y = 10 -> y = -7/11

x = 2:

6 - 11y = 10 -> y = -4/11

And so on.

So the correct option is c): infinitely many solutions

A linear equation is something of the form:

y = a*x + b

Where the solutions are the pairs (x, y) such that the equality is true.

Here we will find that the correct option is c: infinitely many solutions.

In this case, we have the equation:

3x - 11y = 10

We can rewrite this as:

3x = 10 + 11*y

x = 10/3 + (11/3)*y

Ok, now we have one variable on each side, now let's see the number of solutions.

As you can see, we have one equation with two variables.

So if for example we take y = 0, we get:

x = 10/3 + (11/3)*0 = 10/3

So one solution is (10/3, 0)

If we take y = 1, we get:

x = 10/3 + (11/3)*1 = 22/3

Then another solution is (22/3, 1)

And as you can see, y can take any real value. So we have infinite values of y.

This also means that we have infinite values of x (as we have one value of x for each value of y). Then we will have infinite solutions for the linear equation.

The correct option is c.

If you want to learn more, you can read:

https://brainly.com/question/16843611

Answer: 6 biscuits each

Step-by-step explanation:

biscuits: 12

ratio shared 1:2 (in fraction form : 1/2)

one half of 12 is 6 therefore they each get 6:12 biscuits

If you simplify 6:12 you will get 1:2

Gemma and Zak receive 6 biscuits.

Hope that helped!

Answer:

Step-by-step explanation:

If the ratio between Gemma and Zak is 1:2, then Gemma gets 1 biscuit for every 2 Zak gets. If the total number of biscuits is 12, then 1x + 2x = 12 and

3x = 12 and

x = 4. That means that Gemma gets 4 biscuits and Zak gets twice that many, which is 8.

Answer: 1/100 of a mile

Step-by-step explanation:

36 inches is equal to 3 feet which is equal to 1 yard

1/100 of a mile = 633.6 inches

Answer:

1/100 of a mile

Step-by-step explanation:

Answer:

[tex]x=66^\circ[/tex]

Step-by-step explanation:

[tex]x=\frac{180^\circ - 48^\circ}{2}\\\\=\frac{132^\circ}{2}\\\\=66^\circ[/tex]

Best Regards!

Answer:

2⁵³/₁₉₈

Step-by-step explanation:

2.2676767 = 2.7676767 − 0.5

2.2676767 = 2⁷⁶/₉₉ − ½

2.2676767 = 2¹⁵²/₁₉₈ − ⁹⁹/₁₉₈

2.2676767 = 2⁵³/₁₉₈

Answer:

449/198  or 2 53/198

Step-by-step explanation:

2. 267676767 = x

10x= 22. 67676767

1000x= 2267. 676767

1000x-10x= 2267.676767- 22.676767

Answer:

64 mph

Step-by-step explanation:

80 divided by 1.25 equals 64

1.25 is the decimal version of 1 and 1/4

Answer:

80/ 1 1/4

Step-by-step explanation:

Also CALM DOWN JAMAL DONT PULL OUT THE 9

Answer:

14

Step-by-step explanation:

The range of a given set of values is the lowest value deducted from the highest value.

Lowest value is -8 and highest value is 6.

Therefore,

[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]

Hope it helps!

Answer:

y ≥6

Step-by-step explanation:

Answer:

8 sides.

Step-by-step explanation:

Divide the exterior angle with 360.

360 ÷ 45 = 8

The regular polygon has 8 sides.

Answer:

Step-by-step explanation:

Sum of measures of all angles of a regular polygon = 360 degree

one exterior angle = 45 degree

∴ no of sides = 360/45 = 8 sides

hope this helps

plz mark it as brainliest!!!!!!

Answer:

Option (3)

Step-by-step explanation:

There are two inequalities graphed in the figure attached.

1). Solid line having shaded above the solid line (passing through origin) will be represented by the equation,

[tex]y\geq -\frac{1}{2}x[/tex]

2). Another dotted line having shaded area below the line will be represented by the inequality,

[tex]y<\frac{1}{2}x+1[/tex]

Common shaded area of these inequalities will be the solution area.

All the ordered pairs lying in this area will be the answer.

In the given options,

Ordered pairs given in Option (3) lie in the common shaded area.

Answer:

C

Step-by-step explanation:

got it right

Answer:

Multiply the quotient of the number and the total by 360 degrees.

Step-by-step explanation:

If there are three parts that you want to convert to a circle graph (say 12, 9 and 15)

Step 1: Add all the numbers together.

12+9+15 =36

Step 2: Multiply the quotient of each number and the total by 360 degrees.

These are:

[tex]\dfrac{12}{36}\times 360^\circ = 120^\circ\\\dfrac{9}{36}\times 360^\circ = 90^\circ\\\dfrac{15}{36}\times 360^\circ = 150^\circ[/tex]

This is how you convert a number for a part into its corresponding angle measure.

Answer:

Point B is 3/4

Step-by-step explanation:

the number line is split into fourths. Therefore, it is 3/4

Answer:

-17/14

Step-by-step explanation:

To subtract fractions, you must have a common denominator. If that is not given, you make it.

You do so buy finding the LCM of denominators:

LCM of 7 and 2 = 14

Now, here you have multiplied the denominators either by 7 or 2. You do the same for the respective numerators:

2x2/14 - 3x7/14 = 4/14 - 21/14.

Now that you have the same denominator, subtract the numerators:

4-21 = - 17

Put it back as a fraction : -17/14

hope this helps.

Answer:

x = 2

Step-by-step explanation:

Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.

x² - 4x + 6

= (x - 2)² - 4 + 6

= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.

Step-by-step explanation:

Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32

Papa seca = [tex]\frac{1}{2} *4[/tex]

                     = 2 papas secas

Cerdo = [tex]\frac{1}{2} *4[/tex]

       = 2 kg de carne de cerdo

Cebollas = 1 * 4

            = 4 cebollas grandes

Aji panca = 3 * 4

               = 12 cucharadas de aji panca

Ajo molido = [tex]1\frac{1}{2} *4[/tex]

                       = [tex]\frac{3}{2} *4[/tex]

                       = 6 cucharadas de ajo molido

Sal = 1 * 4

      = 4 cucharadas de sal

Answer:

32 seconds

Step-by-step explanation:

Answer:

2.5 meters in a second.

Step-by-step explanation:

I'm assuming it's how many meters per second.

meters : seconds

  40     :      16

  10      :       4

  2.5    :     1

Answer:

13 ocicats

Step-by-step explanation:

Here, we are told that an Ocicat eats 3/5 pounds of food per day.

Now, we have a bag of 19 1/2 pound of food and we want to know the number of ocicats this will feed

What we just need to do is to divide the weight of the bag by the amount in pounds that can feed a single ocicat

Thus, we have;

19 1/2 divided by 3/5

= 39/5 divided by 3/5

= 39/5 * 5/3

= 13 Ocicats

Answer:

Irrational

Step-by-step explanation:

3 1/3 × √52

= 10/3 × √52

= 20/3√13

= 24.037009

Irrational, the product cannot be written in the form p/q as a fraction.

Answer:

irrational

Step-by-step explanation:

3 1/3 * sqrt(52)

Changing to an improper fraction

10/3 * sqrt(52)

10 /3 * sqrt( 4*13)

10/3 * sqrt(4) sqrt(13)

10/3 * 2 sqrt(13)

20/3 sqrt(13)

Since sqrt(13) is irrational the product is irrational

Answer:

c = 730 cm

Step-by-step explanation:

To solve this question we just need to use the law of sines:

The ratio between a side in the triangle and its opposite angle is always the same.

So we have that:

[tex]a / sin(A) = c / sin(C)[/tex]

[tex]714 / sin(78) = c / sin(90)[/tex]

sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:

[tex]714 / 0.9781 = c / 1[/tex]

[tex]c = 714 / 0.9781 = 730\ cm[/tex]

Answer:

The answer is "[tex]\bold{10\sqrt{2}}[/tex]".

Step-by-step explanation:

Equation of the parabola:

[tex]\to y=ax^2 \ \ \ \ \ \ \ \ \ _{where}, (x,y) _{are} (10,10) \\\\\[/tex]

[tex]\to 10=a(10)^2\\\\\to 10=100a\\\\\to a=\frac{10}{100}\\\\\to a= \frac{1}{10}\\[/tex]

if the value of a= [tex]\frac{1}{10}[/tex] then put the value into the equation:

[tex]\to y=\frac{x^2}{10}\\\\[/tex]

when depth of water y=5

[tex]\to 5=\frac{x^2}{10}\\\\\to x^2=50\\\\\to x=\pm\sqrt{50}\\\\[/tex]

So, width:

[tex]\to 2\sqrt{50}=2\sqrt{25 \times 2}\\[/tex]

             [tex]=2 \sqrt{5^2\times 2}\\\\=2\times 5 \sqrt{2}\\\\=10\sqrt{2}[/tex]

Answer:

<1 = <3 = 141

<4 = <2 = 39

Step-by-step explanation:

Angle 2 and angle 4 are vertical angles and vertical angles are equal

<4 = <2 = 39

<4 + <1 = 180 since they form a straight line

39+ <1 = 180

<1 = 141

<1 and <3 are vertical angles so they measure the same

<1 = <3 = 141

Answer:

this is answer

you are welcome

Answer:

720 cherries

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

Cherries Cherie pie

240 = 3

X = 9

The known number of cherries will be given as x then u cross multiply

3×X=240×9

3X=2,160

Divide both sides by 3

3/3X=2,160/3

X=2,160/3

X=720

This implies that the number of cherries needed to make 9 cherry pie is 720

I hope this help

Answer:

y2 = m(x2-x1)+y1

Step-by-step explanation:

Given the formula for finding the slope of a linear equation to be;

m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)

To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:

m = y2-y1/x2-x1

Cross multiplying

m(x2-x1) = y2-y1

mx2-mx1 = y2-y1

Adding y1 to both sides of the equation we have;

mx2-mx1 + y1= y2-y1+y1

y2 = mx2-mx1 + y1

y2 = m(x2-x1)+y1

This gives the resulting equation to solve for y2

Answer:

c

Step-by-step explanation:

edg

Answer:

about 128 inches

Step-by-step explanation:

Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is  [tex]V=\pi r^{2} \frac{h}{3}[/tex]

Plug in the given values into the formula and solve for h:

[tex]340.2=\pi (5)^{2} \frac{h}{3}[/tex]

[tex]340.2=\pi (25)\frac{h}{3}[/tex]

[tex]\frac{340.2}{25\pi } = \frac{25\pi\frac{h}{3} }{25\pi }[/tex]

[tex]42.75=\frac{h}{3}[/tex]

[tex]42.75(3)=\frac{h}{3} (3)[/tex]

[tex]128=h[/tex]

Answer:

48 + 12√3 units

Step-by-step explanation:

ALL LENGTHS MUST BE POSITIVE (I did this to avoid writing ± and showing that only + works)

1. Find AD (you'll find why later): 15² = 9² + AD² --> AD² = 144 --> AD =  12

2. 30-60-90: 12-DC-AC --> AC = 24, DC = 12√3 (side opposite of 90 is double side opposite of 30, side opposite of 60 is √3 times the opposite of 30)

P = AB + BD + DC + AC = 15 + 9 + 12√3 + 24 = 48 + 12√3 units

The perimeter of the given triangle ABC will be 59 units.

The space covered by the triangle in the two-dimensional plane will be the area of the triangle. The sum of all the sides of the triangle is called the perimeter of the triangle.

The perimeter of the triangle will be calculated as:-

First, we will calculate the perpendicular AD by using the Pythagorean theorem:-

AD  = √( 15²  -  9² )

AD  = √144

AD  =   12 units

Now we will calculate the Side AC by angle property:-

Sin 30  =  12  /  AC

AC  =  12   /  Sin 30

AC  =  12 / 0.5  =  26

The perimeter will be the sum of the all the sides of the triangle:-

P  =  AB  +  BC  +   AC

P  =  15  +  18  +  26

P   =  59 units.

Therefore the perimeter of the given triangle ABC will be 59 units.

To know more about the perimeter of a triangle follow

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Answer:

115

Step-by-step explanation:

Number of houses in the street which have both electricity and glass doors = (170 + 145) - 200 = 315 - 200 = 115

Hope it helps : )

Any doubts?

Answer:

The solution to the equation (x-13)<18 is that x can be equal to the numbers 0-17 (NOT including negative numbers)