prove that the points (2,-2),(-2,1) and (5,2) are the vertices of a right angled triangle. also find the area of this triangle

A and B are vertical angles. If angle A=(4x13) ∘and B=(7x4) ∘ then the value of x is 3.

Since A and B are vertical angles, they must and should have equal measures. Therefore, we can set the two expressions equal to each other and solve for x:

4x + 13 = 7x + 4

Subtracting 4 from both sides:

4x + 9 = 7x

Subtracting 4x from both sides:

9 = 3x

Dividing both sides by 3:

x = 3

So the value of x is 3.

After solving the x value, we should subtract 4 from both sides of the equation, which results in 4x + 9 = 7x. Then, we subtract 4x from both sides, then we get 9 = 3x.

Finally, we divide both sides of the equation by 3 to find that x = 3.

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Answer:

7

Step-by-step explanation:

answer is 7

Answer:

We cannot find the tangent ratio of angle r°

Nø, Because triangle XYZ is not a right triangle.

Hope it will help :)

The relation between the radius and the diameter of a circle is given by:

r = d/2

where r is the radius and d the diameter.

Hence, radius is half of a diameter

Answer: The movie was 1 hour and 35 minutes long

The expression for  d=rt in terms of the time is t = d/r; t = 5.

Therefore,

In the equation d=rt

                          t = d/r

when distance is 40 and the rate is 8

                          t = d/r

Replace d with 40 and rate with 8

                          t = 40/8

                          t = 5

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Answer:

Statistical question.

Step-by-step explanation:

A statistical question varies from person to person. Example: What is your favorite color?

If you wanted to tell everyone how many people have high blood pressure in the USA, you can take a sample of people and multiply the numbers to fit the number of people in the USA.

Answer:

Angle 2: 110 degrees, 1 and 2 would have to be the same for the lines to be parallel

Angle 3: 70 degrees angle 3 would have to be the complement to angle 1, so 1+3=180 and 70*3=180, so 3=70 degrees

Angle 4: 70 degrees, 3 and 4 have to be the same opposite angles for the lines to be parallel

Answer:

angle 2: 110

angle 3: 70

angle 4: 70

Answer: To obtain a mixture that is 50% orange juice, you must find the amount of 60% orange juice needed to bring the overall concentration of orange juice to 50%.

We can start by using the formula:

(amount of 60% orange juice) / (amount of 60% orange juice + amount of 30% orange juice) = desired concentration

Let's call the amount of 60% orange juice that we need to add x.

So the equation will look like this:

(x) / (x + 5 gallons) = 0.5

We can then solve for x:

x = (0.5 * x + 0.5 * 5 gallons)

x = 2.5 gallons

So, 2.5 gallons of 60% orange juice must be mixed with 5 gallons of 30% orange juice to obtain a mixture that is 50% orange juice.

Step-by-step explanation:

Answer:

33.33%

Step-by-step explanation:

8 out of 24 hours is equivalent to 1/3 which equals to 33.33%

Answer:

8/24 converted to a percentage = 33.333333333333%

Answer:

∠B ≅ ∠F ⇒ proved down

Step-by-step explanation:

In the two right triangles, if the hypotenuse and leg of the 1st right Δ ≅ the hypotenuse and leg of the 2nd right Δ, then the two triangles are congruent

Let us use this fact to solve the question

→ In Δs BCD and FED

∵ ∠C and ∠E are right angles

∴ Δs BCD and FED are right triangles ⇒ (1)

∵ D is the mid-point of CE

→ That means point D divides CE into 2 equal parts CD and ED

∴ CD = ED ⇒ (2) legs

∵ BD and DF are the opposite sides to the right angles

∴ BD and DF are the hypotenuses of the triangles

∵ BD ≅ FD ⇒ (3) hypotenuses

→ From (1), (2), (3), and the fact above

∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency

→ As a result of congruency

∴ BC ≅ FE

∴ ∠BDC ≅ ∠FDE

∴ ∠B ≅ ∠F ⇒ proved

Step-by-step explanation:

8. b1 = (2×401.94)/19.8 - 14.4

= 40.6 - 14.4 = 26.2 cm

9. h = (2×205)/(20+21)

= 410/41

= 10cm

Answer:

Step-by-step explanation:

-15 is the correct answer

Answer:

\( - 15\)

Step-by-step explanation:

\( - 5 + - 5 + - 5 \\ = - 5 - 5 - 5 \\ = - 10 - 5 \\ = - 15\)

Answer:

1/8" = 1'-0" Invert the fraction and multiply by 12

Step-by-step explanation:

i hope this help

There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.

To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.

So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?

Answer:

Step-by-step explanation:

......................................................................................

Answer:

The answer of this question is ( D) 2, 10.

Answer with Step-by-step explanation:

We are given that

\(3\times (2\div 3)^2+(2\div 3)^2-20\times 2\div 3+12\)

\(3\times (\frac{2}{3})^3+(\frac{2}{3})^2-20\times \frac{2}{3}+12\)

\(3\times \frac{8}{27}+\frac{4}{9}-\frac{40}{3}+12\)

\(\frac{24}{27}+\frac{4}{9}-\frac{40}{3}+12\)

\(\frac{24+12}{27}-\frac{40}{3}+12\)

\(\frac{36}{27}-\frac{40}{3}+12\)

\(\frac{4}{3}-\frac{40}{3}+12\)

\(\frac{4-40}{3}+12\)

\(-\frac{36}{3}+12\)

\(-12+12\)

\(=0\)

Answer:

I think Vivek is 20 and his father is 50

Because 30 + 30 equals 60 as he has to be half his age he'll be 30 but that's in 10 years time. you just subtract 30 and 60 by 10 and you'll get 20 and 50

Answer:

Vivek:20 years

Father:50 years

Step-by-step explanation:

Since it is a age question, their difference do not change, so

2-1=1 (difference in ratio)

1u=30

Vivek now:30-10=20 years

Father: 30x2=60

60-10=50 years

Hope this helps! Thanks.

If we reflect across the y-axis and then reflect again across the y-axis , it will give result an image that maps onto itself , Option B is the right answer.

The reflection of the point (x,y) across the x-axis is the point (x,-y), across the y-axis is the point (-x,y). , across the line is the point (y, x)

The 90 degree counterclockwise rotation of a point (x, y) is the point (-y, x)

The 180 degree counterclockwise rotation of a point (x, y) is the point (-x, -y)

The 270 degree clockwise rotation of a point (x, y) is the point (-y, x)

Therefore on application of these rules

For Case A

The point will be (-y , x)

For Case B

The point will be (x,y)

Therefore Option B is the answer.

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Answer:

x=-3/7 and y=_23/7

Step-by-step explanation:

y=-4x-5 and y=3x-2

using comparison method

-4x-5=3x-2

-4x-3x=-2+5

-7x=3

x=3/-7

substituting the value of x

y=3x-2

=3×(-3/7)-2

=-9/7-2

=-9-14/7

=-23/7

Answer:

\( \boxed{\sf Surface \ area \ of \ a \ solid \ sphere = 616 \ cm^{2}} \)

Given:

Diameter of a solid sphere = 14 cm

To Find:

Surface area of a solid sphere

Step-by-step explanation:

\(\sf Radius \: (r) = \frac{Diameter}{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \ \ \ \ = \frac{14}{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \ \ \ \ = 7 \: cm\)

\(\sf Surface \ area \ of \ solid \ sphere = 4\pi r^{2} \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times \frac{22}{7} \times {(7)}^{2} \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times \frac{22}{ \cancel{7}} \times \cancel{7} \times 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times 22 \times 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 88 \times 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 616 \: {cm}^{2} \)

Answer:

hey cutie

Step-by-step explanation:

Answer:

Language:

1. Circle All terms

2. 12 or 13

3. 8

4. 12 or 13

Plot:

Get a graph for this one, the number is the first parameter is x, find that x value along the x axis then after finishing it locate v, find y value along the y axis.

Solve:

1. x = 3

2. x = 1

3. x = 3

4. x = x = 5

5. x = 8

6. x = 12

7. x = 9

8. x = 4

9. x = 3

10. x = 6

11. x = 4

12. x = -12

13. x = 5

14. x = 6

15. x = 16

Step-by-step explanation:

Variables - in algebra is a symbol or a letter.

Constants - are numbers

Coefficients - are the numbers that are with variables

Use this description and circle the examples.

For the plot use a gird, or gets a coordinate plane.

Lastely for the Solve example minus or plus the constant with the coefficient and variable forum the constant outside that has been equal to. Then divide by the variable coefficient, and you will get your x value. Example:

34 - 13 = 21 / 7 thus x = 3

It looks like the series could be

\(\displaystyle 1 + 3x + \frac{9x^2}{2!} + \frac{27x^3}{3!} + \cdots = \sum_{n=0}^\infty \frac{3^nx^n}{n!} = \sum_{n=0}^\infty \frac{(3x)^n}{n!}\)

Recall that

\(\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!}\)

It follows that the given series is the power series expansion for \(\boxed{e^{3x}}\).

The line integral of the vector field f→=7i→ y^2j→ between the points (2) to (8) is 2240.


To calculate the line integral, we need to find the path from point (2) to point (8) and parameterize it. Let's choose the straight line path from (2,0) to (8,0), which can be parameterized as r(t) = (2+6t,0) where t goes from 0 to 1.

Next, we need to calculate the dot product of the vector field f→ with the tangent vector of the path r'(t). We have:

f→(r(t)) = 7i→ y^2j→ = 7i→ (2+6t)^2j→
r'(t) = (6,0)

So, the dot product is:

f→(r(t)) · r'(t) = 7(2+6t)^2(6) = 252(2+6t)^2

Integrating this over the path gives us the line integral:

∫f→ · dr→ = ∫0^1 252(2+6t)^2 dt = 2240

Therefore, the line integral of the vector field f→=7i→ y^2j→ between the points (2) to (8) is 2240.

The line integral is a way to calculate the work done by a vector field along a path. In this case, we found the line integral of the vector field f→=7i→ y^2j→ between the points (2) to (8) by parameterizing the path and calculating the dot product of the vector field with the tangent vector. The result was 2240.

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Answer:

0.0357

Step-by-step explanation:

Answer:

\(\{4,-4\}\)

Step-by-step explanation:

\(~~~~x^2 = 16\\\\\implies x = \pm\sqrt{16}\\\\\implies x =\pm 4\\\\\implies x = 4 ,~ x = -4\)

Answer:

x = 4

Step-by-step explanation:

x² = 16

We do the opposite of x² , so we \(\sqrt{x}\) (square root) both sides

\(\sqrt{x}\) = \(\sqrt{16}\) = 4

to confirm this, we can square 4, which gets us 16.

Hope this makes sense! Feel free to ask anything further if need be.

- profparis

Answer:

An even number is a number that can be divided into two equal halves.

Also even numbers end in one of these digits: 0, 2, 4, 6, or 8

12 + 12 + 12 + 12 = 48

48 with the digit 8

48 divided in half gives two equal halves:

48/2 = 24

The number 24 can be added twice to check that the answer is correct:

24 + 24 = 48

So to summarize:

The sum of 12 + 12 + 12 + 12 is an even number because it can be equally divided in two halves and it ends in the digit 8.

hope this helps and please make me brainliest if it did :)