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Answer:

F. [tex] \sqrt{39} [/tex]

Step-by-step explanation:

By geometric mean theorem:

[tex] {x}^{2} = 13 \times 3 \\ {x}^{2} = 39 \\ x = \sqrt{39} [/tex]

The value of x from the similar side triangles is x = √39

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔADC

Let the second triangle be ΔADB

Now , the side AD is the common side

The measure of ∠ADC = measure of ∠ADB = 90°

So , the triangles ΔADC and ΔADB are similar triangles

Now , corresponding sides of similar triangles are in the same ratio

So , AD / DC = BC / AD

x / 13 = 3 / x

Multiply by x on both side , we get

x² = 39

Taking square roots on both sides , we get

x = √39

Therefore , the value of x is √39

Hence , the similar triangles are solved

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Answer:

S =  {PQ, QP, PR, RP, QR, RQ}

Step-by-step explanation:

We have 3 friends:

Patty (who we can represent with the letter P)

Quinlan (who we can represent with the letter Q)

Rashad (who we can represent with the letter R)

There are two positions, that can be represented as:

First-Second.

Where "first" refers to the student whose name is chosen first, this student will be the president.

"second" refers to the student whose name is chosen second, this student will be the vice president.

For example:

PQ

refers for the case where Patty is the president and Quinlan is the vice-president.

Notice that PQ is different than QP.

The sample space will be the set of all the possible combinations of the elements (P, Q, and R) of the form First-Second, which are just the permutations:

PQ, QP, PR, RP, QR, RQ

Then the sample space is:

S =  {PQ, QP, PR, RP, QR, RQ}

The correct option is the last one.

Answer:

D. S = {PQ, QP, PR, RP, QR, RQ}

Answer:

Step-by-step explanation:

Selling price (SP) = Rs. 252

Profit% = 5%

[tex]CP=\frac{100}{100+profit}*SP\\\\\ = \frac{100}{105}*252\\\\[/tex]

CP = Rs. 240

Profit = 252 - 240 = Rs. 12

Answer:

1.) 900

2.) 300

3.) 59

4.) 48

5.) 12

Step-by-step explanation:

1.) 300 x 3 = 900

2.) 50 x 6 = 300

3.) 2,124 / 36 = 59

4.) 180 / 36 = 5 | 240 / 5 = 48

5.) 6 / 2 = 3 | 4 x 3 = 12

Hope this helps.

If there is something wrong, please let me know.

Proportional reasoning refers to the ability to compare and analyze relationships between two or more quantities that change in a consistent way. It involves understanding the concept of proportionality and applying it to solve problems.

1.) If a business jet burns 300 gallons of gasoline per hour, it burns 900 gallons of gasoline in a three-hour flight. This can be calculated by multiplying the burn rate of 300 gallons per hour by the duration of the flight, which is three hours.

2.) On average, one gallon of gasoline weighs approximately six pounds. Therefore, fifty gallons of gasoline weighs 300 pounds. This can be calculated by multiplying the weight of one gallon (six pounds) by the quantity of fifty gallons.

3.) For every one yard, there are thirty-six inches. To find the number of yards in 2,124 inches, we divide 2,124 by 36. The result is 59 yards. This can be calculated by dividing the total number of inches by the conversion factor of thirty-six inches per yard.

4.) A person who weighs 240 pounds burns 180 calories per mile of running. A person who weighs 48 pounds, burns thirty-six calories while running one mile. To find the number of pounds for which the person burns thirty-six calories while running one mile, we can set up a proportion. If we let x represent the weight in pounds, the proportion would be: 240 pounds / 180 calories = x pounds / 36 calories. Solving for x gives us x = 48 pounds.

5.) A rice casserole recipe serves four people and requires two tablespoons of butter. If a rice casserole requires six tablespoons of butter, it serves twelve people. This can be determined by setting up a proportion: 4 people / 2 tablespoons = 12 people / 6 tablespoons. Solving for the unknown number of people gives us 12 people.

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==========================================================

Explanation:

You'll need the chain rule for this one.

[tex]y = 3x^3 + 4x\\\\\frac{d}{dt}(y) = \frac{d}{dt}\left(3x^3 + 4x\right)\\\\\frac{dy}{dt} = \frac{d}{dt}\left(3x^3\right) + \frac{d}{dt}\left(4x\right)\\\\\frac{dy}{dt} = 3\frac{d}{dt}\left(x^3\right) + 4\frac{d}{dt}\left(x\right)\\\\\frac{dy}{dt} = 3*3\left(x^2\right)*\frac{dx}{dt} + 4\frac{dx}{dt}\\\\\frac{dy}{dt} = 9x^2\frac{dx}{dt} + 4\frac{dx}{dt}\\\\\frac{dy}{dt} = (9x^2+4)\frac{dx}{dt}\\\\[/tex]

Now apply substitution

[tex]\frac{dy}{dt} = (9x^2+4)\frac{dx}{dt}\\\\\frac{dy}{dt} = (9*4^2+4)*2\\\\\frac{dy}{dt} = 296\\\\[/tex]

Answer:

296

Step-by-step explanation:

I just did the math and I also got 296.

Answer:

C= 40

D= 75

Alternate interior angle

○●○●○●○●○

Hope it helps...

Have a great day!!!

Answer:

x = 32

Step-by-step explanation:

Given

0.5x = 16 ( divide both sides by 0.5 )

x = [tex]\frac{16}{0.5}[/tex] = 32

Answer:

x=32

Step-by-step explanation:

You have to isolate x, so do the opposite operation, which is division (because 0.5 is multiplying by x). So you divide both sides by 0.5, x is isolated because 0.5/0.5 is 1 and 16/0.5 is 32.

Answer:

The answer is 1 [tex]\frac{2}{3}[/tex]

The work is shown on the picture.

Step-by-step explanation: Hope this helps and mark brainliest if ya want :)!

Answer:

Answer

Step-by-step explanation:

please like and mark me brainlist

Answer: it will

Step-by-step explanation:

your welcome

Answer:

d

Step-by-step explanation:

The box plot with the five number summary is represented in plot A. Therefore, option A is the correct answer.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

The given data in order is 15, 16, 17, 22, 24, 25, 28, 32, 38, 40.

Here, minimum = 15

Maximum = 40

First quartile = 17

Third quartile = 32

Median = (24+25)/2 = 24.5

Therefore, option A is the correct answer.

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Step-by-step explanation:

the answer is

the Value of b to 2

Answer:my dog is cute

Step-by-step explanation:because

Answer:

75 in²

Step-by-step explanation:

A = πr² where radius is r = 5 in,

so,

πr²

=3×5²

=3×25 = 75 in²

Answered by GAUTHMATH

Answer:

2x+4

Step-by-step explanation:

if you double the triangle, than the sides double as well meaning you use distributive property to multiply two to each integer.

The length of AD given a scale factor of 2 is 10 units.

Given that, Δ ABC was dilated from point A to get Δ ADE.

We need to find the length of AD given a scale factor of 2.

The basic formula that is used for calculating the scale factor is the Scale factor = Dimension of the new shape ÷ Dimension of the original shape. In case, if the original figure is scaled up, the formula is written as, Scale factor = Larger figure dimensions ÷ Smaller figure dimensions.

Now, 2=(6x-8)/(x+2)

⇒6x-8=2(x+2)

⇒6x-8=2x+4

⇒4x=12

⇒x=3

Then, AD=6x-8=6×3-8=10 units.

Therefore, the length of AD given a scale factor of 2 is 10 units.

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Answer:

<=> y/3 > 1/2 + 3/4

<=> y/3 > 5/4

<=> y > 5/4 / 1/3

<=> y > 15/4

Step-by-step explanation:

Step-by-step explanation:

[tex]$\frac{y}{3}-\frac{3}{4}>\frac{1}{2}\\[/tex]

We can see that the LCM of the denominators is 12, so, by multiplying the whole equation by 12, we can cancel out all of the fractions.

[tex]$\frac{y}{3}(12)-\frac{3}{4}(12)>\frac{1}{2}(12)[/tex]

[tex]4y-9>6[/tex]

[tex]4y>15[/tex]

[tex]y>\frac{15}{4}[/tex]

yes i do got school

and what about you

Answer:

D. 2, -1

Step-by-step explanation:

I drew it out. I've never done this before

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is reflected across a line or plane. It does not involve translation, rotation about an axis, or rotation about a point.

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

Given data ,

If a design has reflectional symmetry, it looks the same when it is reflected across a line or plane. This type of symmetry is also known as mirror symmetry or bilateral symmetry.

For example, the letter "A" has reflectional symmetry because it looks the same when it is reflected across a vertical line. Similarly, a square has reflectional symmetry because it looks the same when it is reflected across both its vertical and horizontal axes.

Hence , Reflectional symmetry is the quality a design has if it maintains all characteristics when it is reflected across a line or plane.

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Answer:

3

it is asking for the slope of the line

(0,0) , (1,3)

3-0/1-0 = 3/1 = 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

:3

Answer:

Buying price = x = Rs 750

Profit = Rs 120

Step-by-step explanation:

Buying price = x

Selling price = Rs 870

Profit = 16% of x

Profit = selling price - cost price

16% of x = 870 - x

0.16 * x = 870 - x

0.16x = 870 - x

0.16x + x = 870

1.16x = 870

x = 870 / 1.16

x = 750

Buying price = x = Rs 750

Profit = 16% of x

= 0.16 * Rs 750

= Rs 120

Profit = Rs 120

Answer:

B

Step-by-step explanation:

You can plug equations into Desmos as well. Here, you can first cross out c because the graph technically isn't a function. As for the others, D doesn't work because the vertex doesn't match and B is the answer because the parabola opens to the left.  

The equations of the parabola is,

⇒ y = - 2 (x - 4)² - 1

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The vertex of the parabola below is at the point (4, -1).

Now, We can see that;

Parabola is open in - x axis.

And, The vertex of parabola is, (4, - 1)

Thus, The equations of the parabola is,

⇒ y = - 2 (x - 4)² - 1

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Answer:

2

Step-by-step explanation:

because line a d divided the triangle ABC is into equal parts therefore line BD is equal to line DC which is equal to 2

Answer:

2nd Option, 24/7

Step-by-step explanation:

here,

tan T = 7/24

or, cot T = 24/7

Answer:

136 units²

Step-by-step explanation:

Because the prism is isosceles triangular then the top rectangle=7 X 5 as well.

The big rectangle's area = 7 X (5+6+5) = 112 units²

The area of the triangles = 2(base*hight/2) = base *height =6 X 4 =24 units²

Surface area = 112 +24 = 136 units ²

Answer:

136 units² give him brainliest he's right

Step-by-step explanation:

Answer:

732 m^2

Step-by-step explanation:

Find the area of the full rectangle

33*24 =792

Find the area of the triangle

24-16 = 8

33 -18 =15

The area of the triangle is

A = 1/2 bh = 1/2 ( 15)(8) = 60

Subtract the triangle from the rectangle

792 - 70=732 m^2

Answer:

732 [tex]m^2[/tex]

Step-by-step explanation:

First we can find the area of the shape if the triangle wasn't there. That would be:

24×33=792.

Then, we can find the area of the triangle to subtract that from the total.

The formula for the area of a triangle is [tex]A=\frac{1}{2} bh[/tex].

So [tex]A=\frac{1}{2} (8)(15)[/tex]

I found the base of the triangle by subtracting 16 from 24.

I found the height of the triangle by subtracting 18 from 33.

Now, solve the equation.

[tex]A=\frac{1}{2}( 120)[/tex]

A=60

Then finally, Subtract 60 from 792.

You get 732.

I hope this helps!

Answer:

4

Step-by-step explanation:

In triangle ΔPQR, we have;

The incenter of the triangle = The point T = The point of the intersection of the angle bisectors

Therefore, the perpendicular distances from T to the sides of ΔPQR are the radius, r, of the inscribed circle of ΔPQR

∴ WT = UT = ST = r

From the figure, WT = 4

∴ WT = UT = ST = 4

ST = 4

Answer: 2

Step-by-step explanation:

I just got the answer correct it's two.

Answer:

C) a $4 profit and $4 loss is the correct answer.

Answer:

a. A is disjoint to B

b. A is subset of B

c. A -B

d. A union B complement

e. A intersection B complement

f. B-A complement