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.

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

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.

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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

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].

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.

Answer:

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

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

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

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Answer:

3.19 millimeter round of nearest hundred

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%.

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

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

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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#SPJ9

Answer: 6

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

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!

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

The total length of the trip is 974 miles

The given parameters are:

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

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Answer:

D. Volume

Explanation:

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

Answer:

2/5

Step-by-step explanation:

Information we need to solve

Probaility

Check the picture below.

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

247,5 + 20 x n = 420

n = (420 - 247,5) : 20

n = 8,625

Answer:

reflected image shown in red on attached diagram

Step-by-step explanation:

When reflecting an object in the line x = a:

So when reflecting in the line x = 1

(2, 7) → (0, 7)

(2, 4) → (0, 4)

(4, 4) → (-2, 4)

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

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.

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

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

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

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.  

aₙ = a + (n - 1)d

where

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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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.

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

Step-by-step explanation:

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

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.

Answer:

84.2%

Step-by-step explanation:

420 + 380 = 800

800 / 950 = .842

.842 * 100 = 84.2

84.2 = 84.2%

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