A perpendicular line is constructed through angle B of Triangle ABC and intersects side AC at a 90° angle through
point D. Select the transformations that would justify that Trangles ABD = CBD. Select all that apply.

A. A reflection over BD that maps AB onto BC.

B. A translation along vector AC that maps point A onto point C.

C. A rotation about center B that maps BD of Triangle CBD onto BA.

D. A rotation about center D that maps BD of Triangle CBD onto AD and Angle BDC onto angle ADB.

E. A rotation about center D that maps CD onto AD. Then a reflection across AD that maps Angle ABD onto
Angle CBD.

Answers

Answer 1

Answer: E, A

Step-by-step explanation:


Related Questions

If Jonah’s lunch cost $27.50, and he paid $1.65 sales tax. What is the percent of sales tax?

Answers

Answer:

6.38%

Step-by-step explanation:

To answer questions like these it helps to work backwards. We know that sales tax is an added percentage of the cost of a product onto total.

So we get this sort of image:

Total = Original Cost x (1 + %tax)

Now we can start putting the numbers from the question into this equation.

So we know the total:

27.50 = Original Cost x (1+%tax)

We know the original cost. It must be the total amount minus the amount of sales tax put on it. (27.50 - 1.65 = 25.85)

27.50 = 25.85 x (1+%tax)

Now we can start solving for "%tax".

(27.50/25.85) = 1 + %tax

1.0638 = 1 +%tax

1.0638 - 1 = %tax

0.0638 = %tax

6.38% = tax

The sales tax is 6.38%.

Helen is having a birthday
party. Her friends arrive at
her house at 8:15 p.m. They
leave three hours later. What
time do Helen's friends leave?

Answers

Answer: 11:15 p.m 5:15 p.m.

Step-by-step explanation:

I really need some help on this​

Answers

since the shape made by the angles is a quadrilateral, or namely a polygon of 4 sides, hmmm the sum of all interior angles in a polygon is

180(n - 2)

n = number of sides

so that polygon has a total of interior angles of 180(4 - 2) = 360.

Check the picture below.

50 students each did a mathematics test. the mean score for these 50 students was 8.4. there were 30 boys. the mean score for these bots were 8.25. workout the mean score for the girls.

Answers

[(30 x 8,25) + (20 x n)] / 50 = 8,4

247,5 + 20 x n = 420

n = (420 - 247,5) : 20

n = 8,625

PLS HELP

A cone has a volume of 803.84 cubic millimeters and a radius of 8 millimeters. What is its height?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

h ≈
millimeters

Answers

Answer:

3.19 millimeter round of nearest hundred

please help me with segment addition and midpoints

Answers

Answer:

3

Step-by-step explanation:

Since we know QR and RS are the same, we can add them together

6 + 6 = 12

Since the whole line is 15 we subtract 12 from 15

15 - 12 = 3

what’s the lengths of the sides using pythagoras

Answers

Answer:

height and the base your take height you square it then you square the base then you -

How many seconds are in 3 minutes?
There are 60 seconds in one minute.
Complete the table.

Answers

Answer:

1 min- 60 secs

2 mins- 120 secs

3 mins- 180 secs

Step-by-step explanation:

If one minute equals 60 seconds then you would times 60 seconds by the number of minutes.

1x60=60

2x60=120

3x60=180

Solve each system by graphing. Y=x-4 and y=-x

Answers

Check the picture below.

Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?

12x2 −6; 21 inches
12x2; 27 inches
12x2 −6; 30 inches
12x2; 36 inches

Answers

Answer:

A.12x2 −6; 21 inches

Step-by-step explanation:

The perimeter  of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6

Perimeter of a triangle

The perimeter of a triangle is the sum of all its sides as shown

P = s1 + s2 + s3

Given the following

s1 = 4x^2 - 3

s2 =4x^2 - 2

s3 = 4x^2 - 1

x = 1.5

Take the sum of the sides

P = 12x^2 - 6

Substitute x = 1.5

P = 12(1.5)^2 - 6

P = 21 inches

Hence the perimeter  of the triangle is 21inches and the expression can be used to find the perimeter of the triangle is 12x^2 −6

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In a survey of 950 people, it was found that 420 people prefer Pepsi, 380 people prefer Coca Cola, and
the remaining people prefer other drinks, what percentage of the people prefer Pepsi and Coca Cola?

Answers

Answer:

84.2%

Step-by-step explanation:

420 + 380 = 800

800 / 950 = .842

.842 * 100 = 84.2

84.2 = 84.2%

What is the value of sin180?

Answers

Answer:

sin180° = 0

Step-by-step explanation:

using your calculator or graph to find

sin180° = 0

Answer:

0

Step-by-step explanation:

The exact value of sin 180 is zero. Sine is one of the primary trigonometric functions which helps in determining the angle or sides of a right-angled triangle. It is also called trigonometric ratio.

A sculpture in the shape of a triangular pyramid has a height of 10 feet. The area of the base of the sculpture is 12 square feet. What is the volume of the sculpture in cubic feet?

Answers

The volume of the sculpture with triangular pyramid shape is 40 feet³

What is volume?

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

The volume of a pyramid is given as:

Volume = (1/3) * base area * height.

For pyramid with base of 12 feet² and height 10 feet, hence:

Volume = (1/3) * 12 * 10 = 40 feet³

The volume of the sculpture with triangular pyramid shape is 40 feet³

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

50 POINTS NEED HELP
If u = 3 inches, v = 4 inches, w = 7 inches, x = 7 inches, y = 8 inches, and z = 4 inches, what is the area of the object?
A.
52 square inches
B.
53 square inches
C.
56 square inches
D.
54 square inches

Answers

Hey so I have a question do u need to explain?

HELP PLEASE points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume

Answers

Answer:

D. Volume

Explanation:

volume - amount of space that a substance occupies

Here the substance is soil and planter will hold the specific volume of soil.

What is the value of x?

Answers

Answer:

53

Step-by-step explanation:

This is because the total angle is 90, which is a complementary angle. So what you do is you subtract the total which is 90 from 37 to find x which is 53

Reflect the shape A in the line x=1

What are the coordinates of the vertices of the image?
anyone who is amazing at maths please help!!!!!!!!!!!!!!!!!!!!
i am running out of time

Answers

Answer:

reflected image shown in red on attached diagram

Step-by-step explanation:

When reflecting an object in the line x = a:

reflected x-values: 2a - xreflected y-values are the same as the original y-values

So when reflecting in the line x = 1

given x-value = 2, so reflected x-value = 2(1) - 2 = 0given x-value = 4, so reflected x-value = 2(1) - 4 = -2

(2, 7) → (0, 7)

(2, 4) → (0, 4)

(4, 4) → (-2, 4)

An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?

A.
5 in.3

B.
7 in.3

C.
19 in.3

D.
29 in.3

Answers

The approximate difference of the volume of the two spherical fruits is: C. 19 in.³.

What is the Volume of a Sphere?

Volume of sphere = 4/3πr³

The orange and the grapefruit are spherical in shape. Therefore:

Volume of orange = 4/3πr³ = 4/3π(1.5)³ = 14.14 in.³

Volume of grapefruit = 4/3πr³ = 4/3π(2)³ = 33.51 in.³

Difference in volume = 33.51 - 14.14 = 19.37

Therefore, the approximate difference of the volume of the two spherical fruits is: C. 19 in.³.

Learn more about the volume of sphere on:

https://brainly.com/question/22807400

I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 square feet of the surface area. how many cans of paint will i have to buy?

Answers

Answer:   11 cans

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

Explanation:

SA = surface area of the sphere

SA = 4*pi*r^2

SA = 4*pi*8^2

SA = 804.247719

The surface area is roughly 804.247719 sq ft.

I used the calculator's stored version of pi to get the most accuracy possible.

Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.

804.247719/75 = 10.72330292

Round up to the nearest integer to get 11

You'll have leftover paint, but it's better to go over the goal than come up short.

8,14,20, Find the 49th term.

Answers

Answer:

2,8,14,20...… the 49th term is 294.

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

294

Step-by-step explanation:

formula

an=a1 +(n-1)d

n= unknown term

d= difference between each term

8=a1

14=a2

20=a3

a49=8+(49-1)×(6)

a49= 8+ 48 ×(6)

a49= 8+ 288

a49= 294

two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms

Answers

The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.  

How to find the sum of terms using Arithmetic sequence formula

aₙ = a + (n - 1)d

where

a = first termd = common differencen = number of terms

Therefore, let's find a and d

a₁₀ = a + (10 - 1)d

a₃₅ = a + (35 - 1)d

Hence,

16 = a + 9d

66 = a + 34d

25d = 50

d = 50 / 25

d = 2

16 - 9(2) = a

a = 16 - 18

a  = -2

Therefore, let's find the sum of 75 terms of the arithmetic sequence

Sₙ = n / 2 (2a + (n - 1)d)

S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)

S₇₅ = 37.5 (-4 + 148)

S₇₅ = 37.5(144)

S₇₅ = 5400

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A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a base of 21 cm and a height of 16 cm. The length of the entire box is 130 cm.


Which of the following is the volume of the box?
.
43,680 cm3
B.
21,840 cm3
C.
4,368 cm3
D.
19,340 cm3

Answers

(24 × 17 × 130\2)

24 × 17 = 408 x 130 = 53,040 / 2 = 26,520
So the volume of this box is

C= 26,520 cm^3

12. A bakery has five different types of cookies in its display case as listed.
. Chocolate chip
. Oatmeal raisin
• Peanut butter
• Sugar
• Macadamia nut
If Cameron selects one cookie from the display case at random, what is the probability that it will be a peanut butter or sugar cookie?

Answers

2/5 is the fraction and 0.40 as a decimal:) I hope this helps! I hope you’re having a good day/night<3

Answer:

2/5

Step-by-step explanation:

Information we need to solve

Portion of peanut butter cookiesPortion of sugar cookiesTotal number of cookies

Probaility

No. of sugar and peanut butter cookies / Total cookies1 + 1 / 52/5

"When you double my number and add 5, you get 17. What is my number?"

Answers

Answer: 6

Step-by-step explanation: 6 doubled is 12 then 12 plus 5 = 17

Find the area of the shaded region.
Group of answer choices

72

75

71

74

Answers

Answer:

72

Step-by-step explanation:

First. I counted the triangles. Then, I found the area of one triangle. Since the area of a triangle is (base*height)/2, I found the area of one triangle this way: 6x6=36. 36/2=16. After that, I then multiplied the area of the one triangle by four, since there are four triangles. 16x4=72

Which of the following two characteristics are typical features of a less-developed country? high percentage of employed population high percentage of the population engaged in agricultural activity lower life expectancy due to limited access to healthcare high literacy rate due to funds available for higher education high gross domestic product per capita

Answers

Answer:

two characteristics are typical features of a less-developed country are:-

2- High percentage of the population engaged in agricultural activity

3- Lower life expectancy due to limited access to healthcare

Step-by-step explanation:

1 -false

2- true

3- true

4- false

5- false

~Kandy~

hope this helped!

Brainliest please!

Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?

Answers

The total length of the trip is the number of miles in the trip

The total length of the trip is 974 miles

How to determine the total length?

The given parameters are:

Proportion of sleep = 21%Distance awake = 711 miles

If Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip

Represent the total length of the trip with T.

So, we have:

73% * T = 711 miles

Divide both sides by 73%

T = 974 miles

Hence, the total length of the trip is 974 miles

Read more about lengths at:

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(100 POINTS) Question 2: 6 pts
Find the zeros of the quadratic function f(x) = 2x2 + 4x - 6 from the graph.

Answers

Answer:

1 and -3

Step-by-step explanation:

The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).

From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :

[tex]\qquad \sf  \dashrightarrow \:1 \: \: and \: \: - 3[/tex]

Therefore, the correct choice is D

Anyone know this or how to work this out

Answers

Answer:

140 degrees.

Step-by-step explanation:

All circles are made up of [tex]360^\circ[/tex]. Each of the angles provided are called central angles, which means when we add them all together, we will get a total of [tex]360^\circ[/tex]

Notice the little red box, which indicates a [tex]90^\circ[/tex] angle. From the circle, we know the following angles:

[tex]\angle{RQS}=130^\circ[/tex]

[tex]\angle{TQS}=90^\circ[/tex]

We can write and solve an equation to solve for the missing angle, [tex]\angle{RQT}[/tex]:

[tex]\angle{RQS}+\angle{TQS}+\angle{RQT}=360^\circ\\130^\circ + 90^\circ+\angle{RQT}=360^\circ[/tex]

Combine like terms:

[tex]230^\circ+\angle{RQT}=360[/tex]

Subtract [tex]230^\circ[/tex] from both sides:

[tex]\angle{RQT}=140^\circ[/tex].

the answer is 140 degrees

What should be completed first when simplifying 2(x − 3) + 6(4x + 1)?
Combine like terms.
Subtract x − 3.
Distribute the 2 to the x − 3 and the 6 to the 4x + 1.
None of these choices are correct.

Answers

Answer:

Distribute the 2 to the z-3 and the 6 to the 4x+1

Step-by-step explanation:

I'm not sure why it says none of the choices are correct. According to the distributive property, which is followed in any similar algebraic equation. You distribute values first and then combine like terms and go on from there. Hope this helps.

Other Questions
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