In the figure below, angle ABD measures 37 degrees. What is the measure of angle ABC?
A. 64 degrees
B. 74 degrees
C. 47 degrees
D. 37 degrees

Answer:

C.Segment AC=Segment A''C'' over 2

Step-by-step explanation:

We are given that

Dilation scale factor=2

A=(-3,3)

B=(1,-3)

C=(-3,-3)

We know that in dilation the size of figure change  

Ratio of length of new segment to the length of segment of original figure=Scale factor

[tex]\frac{A''C''}{AC}=2[/tex]

[tex]AC=\frac{A''C"}{2}[/tex]

Option C is true.

C.Segment AC=Segment A''C'' over 2

The correct equation that explains the relationship between segment AC and segment A''C'' is: "segment A''C'' = segment AC over 2."

This equation reflects the effect of both the translation and dilation on the coordinates of the points A, C, A'', and C''.

The translation (x + 0, y + 2) shifts the original triangle ABC two units up along the y-axis.

The dilation by a scale factor of 2 from the origin doubles the distance between the points while keeping the same direction.

So, the length of segment A''C'' is half of the length of segment AC.

To elaborate, when you perform a translation, all points of the original triangle move in the same way by the same vector (in this case, 0 units horizontally and 2 units vertically).

After the translation, you apply the dilation from the origin, which scales the distances from the origin by a factor of 2.

So, the length of A''C'' is half of AC because the dilation reduces the distance by a factor of 2.

Hence, the equation "segment A''C'' = segment AC over 2" accurately represents this relationship.

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(b) Angle 2 and Angle 10 are corresponding angles with angle 8.

1. Definition of Corresponding Angles:

The pairs of angles created when a transversal crosses two parallel lines are known as corresponding angles. At every junction, these angles are at the same relative position.

2.. Identify Corresponding Angles with Angle 8:

If angle 8 is given, its corresponding angle will be in the same position but on the other side of the transversal and parallel lines.

3. Analyze the Options:

To find the angles corresponding with angle 8, you must identify which pair matches the same position as angle 8 on the other parallel line.

Option (b) Angle 2 and Angle 10 are corresponding angles with angle 8. This is because angle 2 and angle 10 are in the same relative position to the transversal and parallel lines as angle 8, thus they are corresponding angles.

Complete question:

Which angles are corresponding angles with angle 8?

a) Angle 4 and Angle 12

b) Angle 2 and Angle 10

c) Angle 6 and Angle 14

d) Angle 3 and Angle 9

Answer:

42 kg.m/s.

Step-by-step explanation:

Just add them:

= 22 + 20 = 42 kg. m/s.

The combined momentum of Object A with +20 kg.m/s and Object B with +22 kg.m/s is +42 kg.m/s, as both are moving in the same direction and there is no need to account for direction beyond the sign.

To determine the combined momentum of two objects, we simply need to add their individual momentums together, provided that they are moving in the same direction or dimension. In this case, Object B has a momentum of +22 kg.m/s and Object A has a momentum of +20 kg.m/s. Since both momentums are positive, they are both in the same direction (presumably the +x-direction). The combined momentum is the sum of the two:

Combined momentum = Momentum of Object A + Momentum of Object B

Combined momentum = +20 kg.m/s + +22 kg.m/s = +42 kg.m/s

The combined momentum of the two objects is +42 kg.m/s.

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Answer:

I would treat it as algebra and for 2 simultaneous equations. dunno if that'll work because i haven't got pen or paper with me right now. So let adults be A and children be B

Step-by-step explanation:

Answer:

Create 2 Algebraic simultaneous equations.

Step-by-step explanation:

You can make it into a simultaneous equation

To start you off, here are the two equations: 2a+3c=42.70, 3a+5c=67.30

All you need to do is solve for a and c to get the prices for one child and one adult then you add them together to get the final amount

Answer:

P1 (6, 2/3 π)

P2 (6, 10/3 π)

P3 (6, 14/3 π)

Step-by-step explanation:

To find the other three points you take into account that if you sum 2π to one coordinate you have the same point.

Hence, by adding 2π to -4π/3, and again other two times:

[tex]-\frac{4}{3}\pi+2\pi=\frac{2}{3}\pi\\\\\frac{2}{3}\pi+2\pi=\frac{8}{3}\pi[/tex]

[tex]\frac{8}{3}\pi+2\pi=\frac{14}{3}\pi[/tex]

hence, the other two points are

P1 (6, 2/3 π)

P2 (6, 10/3 π)

P3 (6, 14/3 π)

Answer:

Answer:

Step 4: She subtracted 5 instead of adding 5.

Answer:

Quadrant IV

Step-by-step explanation:

(+,+)= Quadrant I

(-,+)= Quadrant II

(-,-)= Quadrant III

(+,-)= Quadrant IV

Answer:

A The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.

The difference between a rectangular prism and a triangular prism is The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles, the correct option is 1.

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

We are given that;

A rectangular prism and a triangular prism

Now,

A prism is a three-dimensional shape that has two congruent and parallel bases and rectangular faces that connect the bases. The shape of the base determines the name of the prism. For example, a rectangular prism has rectangular bases and a triangular prism has triangular bases.

The other options are incorrect because:

Option 2 is false. Both prisms have two bases.

Option 3 is false. Both prisms have two bases.

Option 4 is false. A rectangular prism has six faces (two bases and four lateral faces) and a triangular prism has five faces (two bases and three lateral faces).

Therefore, the answer will be the two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.

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The answer is 7 1/5

Hope this will help u.❤️‍

Answer:

The system of equation to determine the quantity of nickels and quarters is simultaneous equation.

Nickels = 17

Quarters = 22

Step-by-step explanation:

Given

Let n represent number of nickels

Let q represent number of quarters

From line 1 of the question, we understand that

Total coins = 39

So, n + q = 39 because the made up of the nickels and the quarters

It's also stated that the total value of these 39 coins is $6.35.

First, it should be noted that

1 nickel is worth 0.05 and 1 quarter is worth 0.25, we can represent the total value of the coins with the following equation

0.05n + 0.25q = 6.35

At this point, we have two equation such can be solved simultaneously

n + q = 39 ------- (1)

0.05n + 0.25q = 6.35 ------- (2)

So, the system of equation to determine the quantity of nickels and quarters is simultaneous equation.

Solving further.....

Make q the subject of formula in equation (1)

q = 39 - n

Substitute 39 - n for q in equation 2

0.05n + 0.25q = 6.35 becomes

0.05n + 0.25(39 - n) = 6.35

0.05n + 9.75 - 0.25n = 6.35

Collect like terms

0.05n - 0.25n = 6.35 - 9.75

-0.2n = -3.4

Divide through by -0.2

-0.2n/-0.2 = -3.4/-0.2

n = 17

Recall that q = 39 - n

Substituton 17 for n in this equation

q = 39 - 17

q = 22

Hence, there are 17 nickels and 22 coins

The height of the parallelogram to the nearest tenth is; C: 4.8 units

Using Pythagoras theorem, we can find the smaller side of the parallelogram attached.

√(3² + 4²) = √25 = 5 units

The height of the parallelogram will be very close to this other side that measures 5 units.

Thus, the option that is closest to 5 units is 4.8 units and that is the height of the parallelogram.

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The approximate corresponding height of the parallelogram is 4.8 units.

Option C is the correct answer.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

The area of a parallelogram is equal to the product of its base and height. Therefore, we can find the height of parallelogram ABCD by dividing its area by the length of its base.

The area of parallelogram ABCD is equal to the area of triangle ABD, which has the same base as parallelogram ABCD and the same height as parallelogram ABCD.

Therefore, we can find the area of triangle ABD by dividing the area of parallelogram ABCD by 2.

Let h be the height of the parallelogram ABCD.

Area of triangle ABD

= (1/2) x base x height

= (1/2) x 8.6 units x h

Area of parallelogram ABCD

= base x height

= 8.6 units x h

Dividing the area of parallelogram ABCD by 2.

Area of triangle ABD

= (1/2) x 8.6 units x h

= 4.3 units x h

We know that the area of the parallelogram is greater than the area of the triangle because the parallelogram contains the triangle.

Therefore, the height of the parallelogram must be greater than the height of the triangle.

Let's say that the height of the parallelogram is approximately 4.8 units. Then, the area of the triangle is approximately:

Area of triangle ABD

= (1/2) x 8.6 units x 4.8 units

= 20.64 square units

Now,

Area of parallelogram ABCD.

= 8.6 units x 4.8 units

= 41.28 square units

This area corresponds to a height of approximately 4.8 units.

Therefore,

The approximate corresponding height of the parallelogram is 4.8 units.

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Answer:

8 inches

Step-by-step explanation:

4 times 1 times 2 equals 8

Answer:

8

Step-by-step explanation:

4*2*1

Answer:

314cm^3

Step-by-step explanation:

the first option is correct

V=πr^2*h/3

V=V=π5^2*12/3

V=314.16

Answer:

it's answer is 36 inch ²

Hope it will help as I have my answers with picture.

Answer:

Step-by-step explanation:

You multiply 2 times 11 and then you multiply 9 times 2 then you multiply the answers I think sorry I am not that useful

Answer: 50% Chance

Answer: 1/2

Step-by-step explanation: 2,3, and 5 are the prime numbers 1-6. That means 3/6 of those numbers are prime. 3/6 simplifies to 1/2 or 50%

Answer:

5/12 or 41.66666% or 42%

Step-by-step explanation:

There are two number cubes both listed as 1-6. In order to find the probability of the total on both cubes being a prime number, you'd have to first come up with the prime numbers possible by addition. You should get 2, 3, 5, 7, and 11.

After finding the numbers possible, you have to find each of the different number combinations that you could use to get there. You should get 15 different possibilities.

2:

1, 1

3:

1, 2

2, 1

5:

1, 4

4, 1

2, 3

3, 2

7:

1, 6

6, 1

2, 5

5, 2

3, 4

4, 3

11:

5, 6

6, 5

Now, you have to find the total possibilities. You should get 36.

1, 1

1, 2

1, 3

1, 4

1, 5

1, 6

2, 1

2, 2

2, 3

2, 4

2, 5

2, 6

3, 1

3, 2

3, 3

3, 4

3, 5

3, 6

4, 1

4, 2

4, 3

4, 4

4, 5

4, 6

5, 1

5, 2

5, 3

5, 4

5, 5

5, 6

6, 1

6, 2

6, 3

6, 4

6, 5

6, 6

Now all you have to do is divide the two numbers (15 and 36), and you should get 5/12 as an exact answer, or 41.66666 (repeating) %, which you can round up to 42%.

Add total rolls:

The number of rolls is the height of each bar:

14 + 12 + 16 + 15 + 13 = 70

70 total rolls

The numbers greater than 3 are 4 and 5

4 was rolled 15 times and 5 was rolled 13 times

15 + 14 =28 Total times

The prInability of that happening would be 28/70 which reduces to 2/5

The answer as a fraction is 2/5 which is 40% as a percentage.

Answer:

The answer as a fraction is 2/5 which is 40% as a percentage.

Step-by-step explanation:

Answer:

45 ft

Step-by-step explanation:

90 divided by 2

Answer:

1) 6 days

2) Captain Salamander

Step-by-step explanation:

1) a = 243

r = ⅔

Sn = 650

650 = 243[(⅔)^n - 1]/(⅔ - 1)

(⅔)^n = 79/729

n ln(2/3) = ln(79/729)

n = 5.480683381

2) a = 180

d = -22

S5 = (5/2)[2(180) + 4(-22)]

S5 = 680 > 650

Captain Salamander is done within 5 days

Hence table for 6 days states

days               Frazer             Captain Salamander

1                      243                     180

2                     2/3*243=162       180-22=158

3                     2/3*162=108         158-22=136

4                     2/3*108= 72          136-22=114

5                     2/3*72=48             114-22=92

6                      2/3*48=32             92-22=70

Total                665                        614

what is word problem?

A word issue is the challenge of determining if two supplied expressions are comparable with respect to a set of rewriting identities in computer mathematics. The word problem for groups is a classic example, although there are numerous other examples.

How to solve?

Given two people frazer and Captain Salamander  who have to lay bricks but get tired after every round

for farzer speed is 2/3 of bricks every time

and Captain salamander has speed of 22 tiles less in every round hence equation becomes - 2/3 previous day

and for captain  Salamander  it is previous day-22

hence table becomes

days               Frazer             Captain Salamander

1                      243                     180

2                     2/3*243=162       180-22=158

3                     2/3*162=108         158-22=136

4                     2/3*108= 72          136-22=114

5                     2/3*72=48             114-22=92

6                      2/3*48=32             92-22=70

Total                665                        614

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Answer:

1. a. -4

  b.-3.5

  c. 6.5

  d. -2

Answer: n = -10

Step-by-step explanation:

-3(n+9) = 3

-3n - (-27n) = 3

-30n = 3

n = -10

Answer:

n = -10

Step-by-step explanation:

Distribute -3 to n and 9. This makes -3n - 27 = 3. Add 27 to both sides, giving you -3n = 30. Divide -3 from both sides. This makes n = -10.

Answer:

16

Step-by-step explanation:

8+8=16

Answer:

63

Step-by-step explanation:

4*15=60 60*3.14=188.4 188.4*1/3= 62.8 rounded that would be 63

Answer: 35 days, on engenuity

Step-by-step explanation:

The solution is, 75% of students read less than 35 pages.

A stem-and-leaf display or stem-and-leaf plot is a device for presenting quantitative data in a graphical format, similar to a histogram, to assist in visualizing the shape of a distribution.

here, we have,

Stem and leaf plots are a way of organizing data; the stem shows the first digit and then the leaves show the second digit.

We have that the number of observations (which is equal to the number of leaves) is 23.

23*75%=17.75.

Let us see what the 18th student studied for; 35 hours is the result.

Since the data in a stem leaf plot is in ascending order, we just need to notice the 18th leaf, reading from left to right.

33 pages would be wrong since only 17/23=74% of students read less than that.

Hence, 75% of students read less than 35 pages.

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Answer:

8

Step-by-step explanation:

1) Add -11 plus 19 which should give you 8.

2) Check your answer by subtracting 8 - 19 = -11

Heya there!

Let us learn that we want that variable to be by itself.

To get the variable (b) by itself we need to do some work.

Solving for B:

As we need to get B by itself, we beed to remove the "-19".

To do that, we have to +19 since the -19 is a negative.

This allows us to have B by itself.

b - 19 = -11

   +19    +19 to both sides ; whatever action we do to one side we do to the other.

Now, the equation should look like b = 8

We got b = 8 from the adding +19 to both sides. -11 + 19 = 8

Therefore, we are left with b = 8.

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Answer:

7.9982

Step-by-step explanation:

-The function for an earthquake's magnitude is given by  R = 0.67log(0.37E) + 1.46

-E is energy in kwh.

#For 15,500,000,000 kilowatt hours the magnitude would be:

[tex]R = 0.67\ log(0.37E) + 1.46,\ \ E=15,500,000,000 \ kwh\\\\\therefore R=0.67 \ log(0.37\times 15,500,000,000)+1.46\\\\\\=7.9982[/tex]

Hence, the earthquakes magnitude is 7.9982

Final answer:

Calculate the earthquake's magnitude using the given energy value on the Richter scale.The earthquake's magnitude is approximately 7.99 on the Richter scale.

Explanation:

Richter Scale Magnitude Calculation:
Given R = 0.67log(0.37E) + 1.46, with E = 15,500,000,000 kWh, substitute E into the formula and solve for R:
R = 0.67log(0.37 * 15,500,000,000) + 1.46
R = 0.67log(5,735,000,000) + 1.46
R = 0.67 * 9.7581 + 1.46
R = 6.53 + 1.46
R = 7.99
The earthquake's magnitude is approximately 7.99 on the Richter scale.

Answer:

cos47° = [tex]\frac{x}{7}[/tex]

Step-by-step explanation:

cos47° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex]

Answer:

395.841

Step-by-step explanation:

2 \pi r^2 = 2 \pi(7\text{ m})^2\approx

2πr

2

=2π(7 m)

2

≈

\,\,307.87608\text{ m}^2

307.87608 m

2

Top and bottom circles

\underline{+\ bh = (2 \pi \ 7\text{ m})(2\text{ m})}\approx

+ bh=(2π 7 m)(2 m)

​

≈

\,\,\underline{87.964594\text{ m}^2}

87.964594 m

2

​

The side is a rectangle with base = circumference

\text{Add them up:}\phantom{=}

Add them up:=

\,\,395.840674\text{ m}^2

395.840674 m

2

Final answer

\approx

≈

\,\,395.841\text{ m}^2

395.841 m

2

Round

The surface area of the cylinder is 396 m²

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.

Given that, A cylinder with height 2 m and radius 7 m, we are asked to find its surface area.

The surface area of a cylinder is given by = 2πr(h+r)

= 2×3.14×7(7+2)

= 396

Hence, the required surface area is, 396 m²

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