Determine if the events are independent or dependent.

Answer:

1. ∠ABC =60

2. ∠BCA =90

3. ∠CAB =30

Step-by-step explanation:

3 angles will equal 180 deg.

the right angle is 90 degrees, always.

so (90) + (5x) +  (9x+6) = 180

combine like terms

14x + 96 = 180

move like terms to isolate x

14x = 180-96

14x = 84

divide both sides by 14 to isolate x

x = 6

∠CAB = 5x    replace 6 for x, = 30

∠ABC = 9x+6, replace 6 for x = (9*6) + 6, = 60

Answer:

the end result is (-5 , -2)

Step-by-step explanation:

Let A’ be the image of A(5 ,2) by reflection over the x-axis

and Let A’’ be the image of A’ by reflection over the y-axis

Formula:

➽if we reflect a point M of coordinates (x , y) over the x-axis we get the image point M’ of coordinates (x , -y)

➽ if we reflect a point N of coordinates (z , t) over the y-axis we get the image point N’ of coordinates (-z , t)

_____________________________

According to the formula :

A(5,2) ———-> A’(5 , -2) ———-> A’’(-5 , -2)

Answer: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).

Step-by-step explanation:

According to the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound is C. 5 pounds.

A line plot is a graph that uses check marks above a number line, to show the frequency of each value.

In this line plot, the addition of the weights gained by dogs that gained ¹/₈ of a pound or ³/₄ of a pound shows the total.

The quantity of weight in pounds gained by the dogs that gained ¹/₈ of a pound = 1

The quantity of weight in pounds gained by the dogs that gained ¹/₄ of a pound = 2

The quantity of weight in pounds gained by the dogs that gained ³/₈ of a pound = 2

The quantity of weight in pounds gained by the dogs that gained ¹/₂ of a pound = 3

The quantity of weight in pounds gained by the dogs that gained ³/₄ of a pound = 4

Thus, based on the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound = 5 (1 + 4)

Learn more about line plots at https://brainly.com/question/30143735.

#SPJ1

Answer:

2 19/24

Step-by-step explanation:

5/8 + 2/3= 1   7/24

1    7/24 + 1    1/2= 2 19/24

Answer:

67/24 or 2 19/24

Step-by-step explanation:

You can find a common multiple for all of the fractions.

24 is going to be the common multiple.

1 12/24+16/24+15/24

Answer:

It is the string theory dialated from quantum physics and decierived to the injudices of quadratic equations.

Answer:

Option (2). 14 m

Step-by-step explanation:

Formula to get the area of a circle 'A' =

where r = radius of the circle

Given in the question,

Area of the circle = 153.86 square meters

By putting the values in the formula,

153.86 = πr²

r = [tex]\sqrt{\frac{153.86}{\pi } }[/tex]

r = [tex]\sqrt{49}[/tex]

r = 7 meters

Diameter of circle = 2 × (radius of the circle

                             = 2 × 7

                             = 14 meters

Therefore, diameter of the circle is 14 meters.

Option (2) is the answer.

Answer:

4.375

Step-by-step explanation:

Answer:

-4.375

Step-by-step explanation:

7/2=3.5

1/4=0.25

5/8=0.625

5/8+1/4=0.875

-7/2-(5/8+1/4)= -4.375

Answer:

$35.75

Step-by-step explanation:

35%=35/100

35/100x55=19.25

55-19.25=35.75

Answer:

20 quarters and 35 dimes.

Step-by-step explanation:

Let number of quarters = q

Therefore number of dimes = 55 - q

By condition, q * 25 + (55 - q) * 10 = 850 [all converted to cents]

25q + 550 - 10q = 850

25q - 10q = 850 - 550

15q = 300

q = 300/15 = 20

Therefore, number of quarters = 20

and number of dimes = 55 - 20 = 35

Answer:

2πxy^2 unit^2

Step-by-step explanation:

area of circle=πr^2

=π×2xy^2

=2πxy^2

Answer:

B:942$

Step-by-step explanation:

(pi*20^2)/2 is approximately 628.32

628.32*1.5=942.48

Answer:

Step 3

Step-by-step explanation:

They divided, they should have multiplied

Answer:

15 percent

Step-by-step explanation:

just look up 180 plus each percentage

Step-by-step explanation:

You must first know the formular for gradient then use the applied formular for slope

Answer:

B She is correct because the shape is a quadrilateral with at least one pair of Parallel sides.

Step-by-step explanation:

The side on the top is parallel with the side on the bottom.

It could not be A because there is only one pair of parallel sides.

It can’t be C or D because the shape is a trapazoid.

Answer:

B

Step-by-step explanation:

!! She is correct because the shape is a quadrilateral with at least one pair of parallel sides.

##Have a lovely day today ^^!

Answer:

Mia will need a fence that is 9.22 meters long.

Step-by-step explanation:

Answer:

If the square root is not a perfect square, then an approximation of the root often makes more sense in the context of the problem. For real-world problems, you would want an approximation, so you have an estimate of the length you are looking at.

Step-by-step explanation:

edg 2022

Answer:

Perimeter =28 units.

Area = 45 unit^2.

Step-by-step explanation:

The length of  first side (joining first 2 points) = 5 - (-4) = 9  (as y coordinates are both -5)

The line joining the 2nd and third points = 0 - (-5) = 5

The line joining the 3rd and 4th points = 5 - (-4) = 9.

The line joining the first  and 4th points = 0 - (-5) = 5

So the perimeter = 2(5) + 2(9)

= 28 units.

Area =  5*9 = 45 unit^2.

Answer:

See below ~

Step-by-step explanation:

Finding Area

Finding Perimeter

Answer:

Simplifying

41n(7x) = 8

Remove parenthesis around (7x)

41n * 7x = 8

Reorder the terms for easier multiplication:

41 * 7n * x = 8

Multiply 41 * 7

287n * x = 8

Multiply n * x

287nx = 8

Solving

287nx = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '287x'.

n = 0.02787456446x-1

Simplifying

n = 0.02787456446x-1

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow \dfrac{(11^6.6^9)^2}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{6(2)}.6^{9(2)}}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{12}.6^{18}}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{12-3}6^{18}}{}[/tex]

[tex]\\ \rm\Rrightarrow 11^96^{18}[/tex]

Answer:

B

Step-by-step explanation:

[tex]\sf Given \: expression\: :\dfrac{(11^6 \cdot 6^9)^2}{11^3}[/tex]

[tex]\sf Apply\:exponent\:rule\quad (a^b)^c=a^{bc} :[/tex]

[tex]\sf \implies \dfrac{11^{6 \times 2} \cdot 6^{9\times2}}{11^3}[/tex]

[tex]\sf \implies \dfrac{11^{12} \cdot 6^{18}}{11^3}[/tex]

[tex]\sf \implies \dfrac{11^{12}}{11^3} \cdot 6^{18}[/tex]

[tex]\sf Apply\:exponent\:rule\quad \dfrac{a^b}{a^c}=a^{b-c} :[/tex]

[tex]\sf \implies 11^{12-3} \cdot 6^{18}[/tex]

[tex]\sf \implies 11^{9} \cdot 6^{18}[/tex]

Answer:

.5x+.5-1/3x-1/3

Step-by-step explanation:

You then would combine like terms and get x

Answer:

4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We have 4 whole circles and half a circle so 4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]

the ansewr is D. 31.4

Step-by-step explanation:

the ansewr is D. 31.4

Answer:

7

Step-by-step explanation:

3(y+5)=36

divide both sides by 3

y+5=12

minus 5

y=7

Three times the sum of a number y, and 5 is at most 36 is equivalent to  y = 7

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that three times the sum of a number y, and 5 is at most 36.

⇒ 3(y+5)=36

Divide both sides by 3

⇒ y + 5 = 12

Subtract by 5 in the equation

⇒ y = 7

Hence, three times the sum of a number y, and 5 is at most 36 is equivalent to  y = 7

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5

Answer:

1 1/3 pizzas.

Step-by-step explanation:

AddingL

5/6 + 3/6 = 8/6

= 1 2/6

= 1 1/3 pizzas.

Considering the histogram, it is found that the team scored more than 50 points 26 times.

An histogram is a graph that shows the number of times each element of x was observed.

Researching this problem on the internet, we have that:

12 + 11 + 3 = 26, hence the team scored more than 50 points 26 times.

More can be learned about histograms at https://brainly.com/question/26622630

#SPJ1

let a be aluminum and g be gold and k how many times:

2*10⁻¹mg a+ 6*10¹mg g= 154 lb

so a=kg

k=a/g

k=2*10⁻¹/6*10=1/300

a=1/300g

so Aluminum is 1/300 of gold.

Using linear function concepts, it is found that the slope of the line that passes through points (4,8) and (8,6) is of -0.5.

A linear function is modeled by:

y = mx + b

In which:

The line goes through points (4,8) and (8,6), hence when x changes by 4, y changes by -2, and the slope is given by:

m = -2/4 = -0.5.

More can be learned about linear function concepts at https://brainly.com/question/24808124

#SPJ1