Three straight lines cross at a point.
The size of the angle [tex]c[/tex] is [tex]50[/tex]°.
If a straight line split angle [tex]c[/tex] exactly in half, it would meet line [tex]XY[/tex] at a right angle.

a) Work out the size of angle [tex]d[/tex].
b) Describe any angle facts that you use in your working.

Answer:

Step-by-step explanation:

The cross-section of a square pyramid will be a square.  The section above the cross-section taken will basically be a similar but smaller square pyramid.

The surface area of the top open cylinder is 6810.149 sq.cm.

A cylinder is a three-dimensional solid that consists of two congruent surfaces (bases) and one lateral surface.

Surface area of a cylinder = Base area + Lateral area

Base area of a cylinder = 2 × π × r²

Lateral area of a cylinder = (2 × π × r) × h

Therefore, here base area of a cylinder = 2× π × 12²

                                                                  = 5837.27 sq.cm.

And, lateral area of a cylinder = (2 × π × 12) × 2

                                                  = 972.8784 sq.cm.

Therefore, total surface area of a cylinder = 5837.27 + 972.8784

                                                                      = 6810.149 sq.cm.

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Answer:

Step-by-step explanation:

Let's start by finding the sum of the list of nine numbers, which we can then use to find the value of the remaining two numbers in the list:

Sum of the nine numbers = mean * number of numbers = 17 * 9 = 153

Let the three modes be a, b, and c. Since they are modes, each of them must appear at least twice in the list.

Let's assume that the numbers in the list are arranged in non-decreasing order. Then we have:

a ≤ b ≤ c

Since a, b, and c are modes, each of them must appear at least twice in the list. We have three cases to consider:

Case 1: Each of a, b, and c appears exactly twice in the list.

In this case, the remaining three numbers in the list are:

x1 = a + 4

x2 = b + 1

x3 = c - 8

We know that x1, x2, and x3 are distinct and not modes of the list. Therefore, they must be among the six numbers in the list that are not equal to a, b, or c. Let's call these numbers d, e, and f, where:

d ≤ e ≤ f

Then we have:

a + b + c + x1 + x2 + x3 + d + e + f = 153

3(a + b + c) + 3(d + e + f) = 153 + x1 + x2 + x3

Since x1, x2, and x3 are distinct and not modes of the list, we have:

x1 > c

x2 > b

x3 < c

Therefore, we can write:

x1 = c + k1

x2 = b + k2

x3 = a + k3

where k1, k2, and k3 are positive integers.

Substituting these expressions into the equation above, we get:

3(a + b + c) + 3(d + e + f) = 153 + a + b + c + k1 + k2 + k3

Simplifying, we get:

2(a + b + c) + 3(d + e + f) = 153 + k1 + k2 + k3

Since k1, k2, and k3 are positive integers, the right-hand side of this equation is at least 3. Therefore, we have:

2(a + b + c) + 3(d + e + f) ≥ 156

We want to find the value of 3(a + b + c), so let's isolate this term:

3(a + b + c) = 2(a + b + c) + (a + b + c)

Since the left-hand side is three times the sum of a, b, and c, and the right-hand side involves the sum of a, b, c, d, e, and f, we need to express d, e, and f in terms of a, b, and c.

From the inequality a ≤ b ≤ c, we have:

a + k3 ≤ b + k2 ≤ c + k1

Adding 4 to the first inequality, we get:

a + k3 + 4 ≤ b + k2 + 4 ≤ c + k1 + 4

Adding -8 to the second inequality, we get:

a + k3 + 4 ≤ c + k1 - 4 ≤ b + k2

Therefore, we can choose d = a + k3 + 4, e = c + k1 - 4, and f = b + k2. Then

Answer:

This example represents discrete data.

Step-by-step explanation:

Discrete data refers to information that can only take certain specific values. In this case, the number of pamphlets added to the box (x) can only take on integer values such as 0, 1, 2, 3. Similarly, the effect on the box's weight (y) is also given as specific values: 0, 6, 12, 18.

In contrast, continuous data would involve measurements that can take any value within a range, such as height, weight, or temperature.

Since the number of pamphlets added and the corresponding effect on the box's weight are presented as specific, separate values, the data in this example is considered discrete.

{11, 14, 22}

     Triangle Inequality Theorem states that two sides of a triangle must be greater than the third side.

     Using this method, the answer is {11, 14, 22} because 11+14>22, 11+22>14, and 14+22>11

x = 67°

Same-side interior angles are supplementary.

     x° + 113° = 180°

     x° = 180° - 113°

     x = 67°

r = 2°

     The little box represents 90 degrees, meaning that these angles are complementary.

     9r + 2° + 70° = 90°

     9r + 72° = 90°

     9r = 18°

     r = 2°

Answer:

Step-by-step explanation:

Let’s mark the Triangle Points as Point A, Point B, Point C.

Point A = 1x°

Point B = 2x°

Point C = 3x°

We know that the Angle Sum of a Triangle is equal to 180°.

So, Point A + Point B +Point C = 180°

   = 1x° + 2x° + 3x° = 180°

   = (1 + 2 + 3)x° = 180°

   = 6x° = 180°

   = x° = (180/6)°

   = x° = 30°

|  —                                 —  |

|   Point A = 1 * 30° = 30°    |         ⇒

|   Point B = 2 * 30° = 60°   |         ⇒          Only Extra Information

|    Point C = 3 * 30° = 90°  |         ⇒

|  —                                 —  |

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Answer: the answer would be the filled-in circle with the arrow pointing 50 or higher that would be your answer

Step-by-step explanation:

Answer:

5x + 15y =20  = - 3x +25y =75

= 8 minutes

Step-by-step explanation:

5x + 15y =20    multiply all by 3 to get 15x

15x +45y=60

- 3x +25y =75 multiply all by -5 to get 15x

15x -125y = -375

rewrite ans together

15x +45y=60

15x -125y = -375

      -80y = -315

y = -315/ - 80

y = 3.9375  = y= 4 substitute to find x

5x + 15(4 )=20  

5x +60 = 20

5x=-40

x= -40/5

x=-8

15x +45(4)=60

15x +180 =60

15x =-120

x=-8

Answer:

The answer is 3

y=4x-3❌

Step-by-step explanation:

1)y=3x=3(1)=3✅

2)y=x+2=1+2=3✅

3)y=4x-3=4-3=1❌

4)y=4x-1=4-1=3✅

Answer: The middle one is consistent independent the bottom one is consistent dependent and the top one is inconsistent

Step-by-step explanation: I'm not 100% sure but tell me if I'm wrong.

Hope this helps  : D

Answer: w

Step-by-step explanation:

To determine the total cost of the game, we can set up an equation based on the given information.

Let's assume the total cost of the game is represented by the variable "x."

According to the problem, Tom has saved $18, which is two-thirds of the total cost. We can express this as the equation:

(2/3) * x = $18

To solve for x, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:

(3/2) * (2/3) * x = (3/2) * $18

x = $27

Therefore, the game costs $27.

~~~Harsha~~~

Answer:

(1, -1)

Step-by-step explanation:

To estimate the solution to the system of equations, we can substitute the given coordinates into the equations and check which one satisfies both equations most closely.

Let's substitute the coordinates into the equations:

For (-1, 0):

-3(-1) + 0 = 2

3 ≠ 2

For (-1, -1):

-3(-1) + (-1) = 2

2 ≠ 2

For (1, 0):

-3(1) + 0 = 2

-3 ≠ 2

For (1, -1):

-3(1) + (-1) = 2

-4 = 2

From the given options, (1, -1) is the best estimate of the solution to the system of equations since it satisfies both equations most closely.

Hope this helps!

Answer:That is right it is .50

Step-by-step explanation:

Answer:

1. 5x + 5y

2. ab + ac

3. 6u + 3v

4. 7 ( a + b )

5. 7 ( 2c + 3d )

6. a ( x + y +z )

Step-by-step explanation:

1-3:

Using the distributive property we get these answers.

4:

The common term between 7a and 7b is 7, so we write 7 ( a + b )

5:

The common term is 7 again, as 14 and 21 are both divisible by it.

6:

The common term is a.

Answer:

Look At the graph

Step-by-step explanation: