Work out the area of the trapezium ABDE.
9 cm
6 cm

Answer:

Angle θ would be about 17.1 degrees.

Step-by-step explanation:

To figure out what Angle θ is, first we have to find the hypotenuse. You can easily do that by find the square root of BC² + AC².

c = √4² + 13²

Square 4 and 13 to get 16 and 169 respectively.

c = √16 + 169

Add 16 and 169 to get 185.

c = √185

Find the square root of 185 (I'll round to the nearest tenth.)

c = 13.60147 ≈ 13.6 units

To find angle β, divide AC by AB and find the inverse sine of that.

β = arcsin(13/13.6)

Divide 13 by 13.6. Round to the nearest thousandth.

β = arcsin(0.955)

β ≈ 1.2723 rad

To convert radians to degrees, multiply the radians by 57.2957795 for an approximate amount.

β ≈ (1.2723 * 57.2957795)°

β ≈ 72.8974203 ≈ 72.9 degrees

Now subtract 72.9 from 90 to get angle θ's measure of 17.1 degrees.

Answer:

y=1//4x+1.5

Step-by-step explanation:

3=1/4(6) +C

3=1.5+C

3-1.5=C

1.5=c

Answer:

11.7 cm

Step-by-step explanation:

Using Pythagoras Theorem

AC² = AB² + BC²

AB = 4 cm

BC = 11 cm

AC² = 4² + 11²

AC = √4² + 11²

AC =✓137

AC = 11.704699911 cm

Approximately = 11.7 cm

Length AC = 11.7cm

Think it is the 8 ticket deal cuz it has more but for me it really depends on what I am going to buy them for.

Hope this helps God Bless

Answer:

A. 3x-7y and -7y+3x

Step-by-step explanation:

Let x=1, y=2

3(1)-7(2)

3-14

-11

-7(2)+3(1)

-14+3

-11

Answer: Point Form: (4,2)

Equation Form: x=4,y=2

Step-by-step explanation:

Answer:

there isn't a slope, because this line isn't even a function, because it is a vertical line... so it doesn't pass the vertical line test...

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

the equation for the slope of the line is (y2-y1)/(x2-x1)

here are the given points: (-6,-8) and (-6,12)

label the points:

x1=-6

y1=-8

x2=-6

y2=12

now substitute into the equation (m is slope)

m=(12--8)/(-6--6)

m=(12+8)/(-6+6)

m=20/0

m=undefined

the slope is undefined because you cannot divide by 0

Hope this helps!

Answer:

c = 3/4, hope this helps

Step-by-step explanation:

4c/4 = 3/4

c = 3/4

Answer:

Step-by-step explanation:

y+2/3 x=4

multiply by 3

3y+2x=12

or 2x=12-3y

so both represent the same equation of a line .

there are infinite points on the line.

infinite solutions.

The number of solution the system of equations have infinitely many solutions.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The system of equations are y+2/3 x=4--------(I) and 2x=12-3y --------(II).

Here, a₁=2/3, b₁=1 and c₁=-4

a₂=2, b₂=3 and c₂=-12

Now,

a₁/a₂=b₁/b₂=c₁/c₂

2/6 =1/3=-4/-12

1/3=1/3=1/3

Infinitely many solutions

Therefore, the number of solution the system of equations have infinitely many solutions.

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Answer:

164 degrees

Step-by-step explanation:

The measure of the individual internal angle in a polygon is;

(n-2)180/n

n = 22

So we have;

(22-2)180/22

= (20 * 180)/22

= 163.64 degrees

To the nearest whole number, this is 164

Answer:

x = -3

Step-by-step explanation:

4x+3 = 6x+9

4x-6x = 9-3

-2x = 6

x = -3

Answer:

5/8ths

Step-by-step explanation:

Answer:

[tex]\frac{3}{8}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{13}{24}[/tex]

Step-by-step explanation:

3/8 + 1/6 = ?

9/24 + 4/24 = 13/24

Answer:

AD

Step-by-step explanation:

Answer:

I THINK THE ANSWER IN X=3

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

by side splitter theorem: x : 66 = 2 : 12

x / 66 = 2 / 12

x = 2/12 * 66 = 11

Answer:

2n+3

Step-by-step explanation:

Since the question is asking for "a number" times 2, the first thing that is necessary in any expression is 2n. Next, since there is "3 more", 3 must be added to the 2n. Combining this gives the translation 2n+3.

Answer:

First one : 53/100 and 53%

Step-by-step explanation:

0.53 --> 53/100 --> 53%

Answer:

0.53=53/100=53%

Step-by-step explanation:

The decimal equivalent of the unknown percentage is evaluated by moving the decimal 2 places to the left from its current position.

To convert it to an equivalent fraction replace the % sign with x1/100 and simplify:53*1/100

Divide out the common factor to simplify 53/100

Answer:

Event 2, Event 3, Event 4, Event 1

Step-by-step explanation:

The probability of Event 2 occurring is 0/12(0%) as there are no red marbles in the bag.

The probability of Event 3 occurring is 13/20(65%) as you will get an orange marble from Bag B 13 out of 20 times.

The probability of Event 4 occurring is 9/12(75%) as you will get a yellow marble from Bag A  9 out of 12 times.

The probability of Event 1 occurring is 20/20(100%); therefore you will always get either a yellow or an orange marble from Bag B.

Answer:

D

Step-by-step explanation:

4+4=8 probability of success

4+4+3=11 total senario

therefore 8/11 is your probability of a success

A box of chocolates contains four milk chocolates, four dark chocolates, and three white chocolates. The probability that it is milk or dark chocolate is 8/11.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

The total number of milk chocolate = 4

The total number of dark chocolate = 4

The total number of white chocolate = 3

The total number of milk or dark chocolate = 8

Total number of chocolate a box contains = 11

The probability that it is a milk or dark chocolate = 8/11

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Answer:

The first option

Step-by-step explanation:

Adjacent angles are just two angles next to each other

Answer:

x ≈ 38.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{5}{8}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{5}{8}[/tex] ) ≈ 38.7° ( to 1 dec. place )

9514 1404 393

Answer:

  m∠T = 45°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so ...

  (2x +10)° +(3x -9)° +(6x -19)° = 180°

  11x -18 = 180 . . . . . collect terms, divide by °

  11x = 198 . . . . . . . . add 18

  x = 18 . . . . . . . . . . . divide by 11

Then the angle of interest is ...

  m∠T = (3x -9)° = (3·18 -9)°

  m∠T = 45°

_____

The other angles are ...

  m∠S = 46°

  m∠U = 89°

Answer:

19.3%

Step-by-step explanation:

6.50-5.45 = 1.05

1.05/5.45 = 0.192605505

* 100 = 19.27% = 19.3% increase

Answer:

7/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

You need to learn about Interpreting graphs,x-intercepts and y-intercepts And Translating functions

Answer:

1,970

Step-by-step explanation:

The amount earning Elisa Harrington for July through October were 2,087 1,912 1,876 2,005

The formula for Average amount can be calculated as:.

Sum of Amount/Number of terms

Number of terms = 4

Hence:.Average Amount =

2,087 + 1,912 + 1,876 + 2,005/4

= 7,880/4

= 1,970

Therefore, the average amount Elisa was earning was 1,970