If m∠5 = x°, which angles also have a measure of x°? Select all that apply.

Answer:

x > -1

10 ≤ d

k ≤ -24

Step-by-step explanation:

a)

13 + 4x > 9

4x > -4

x > -1

b)

99 - 5d ≤ 4d

99 ≤ 9d

10 ≤ d

c)

3k - 9 ≤ -6k - 225

3k + 6k ≤ 9 - 225

9k ≤ -216

k ≤ -24

Answer:

of course it would be 45

Step-by-step explanation:

it right trusss

Answer:Answers below

Step-by-step explanation:

The average age of the zebras at the zoo can be found by adding up all of the ages and dividing by the number of zebras.

In this case, the ages of the zebras are 8, 11, 17, 7, 19.

To find the average age, we add up all of the ages: 8 + 11 + 17 + 7 + 19 = 62

Then we divide by the number of zebras (5): 62/5 = 12.4

So, the average age of the zebras at the zoo is 12.4 years old.

To find the standard deviation, we first need to find the variance.

The variance is the average of the squared differences from the mean.

We can find the variance by taking each value, subtracting the mean, squaring the result, and dividing by the number of zebras.

The standard deviation is the square root of the variance

So, the standard deviation of the zebras age is difficult to calculate by hand, but we can use a calculator to find the standard deviation, which is approximately 4.345 years.

Rounding to the nearest tenth:

The average age is 12.4 years old

The standard deviation is 4.3 years

The slope intercept form of the equation of the line graphed on the coordinate plane below will be y=-3x -1.

As we know, The slope intercept form of a straight line is y=mx + c, where m is the gradient which is the Tanθ where θ is the angle between the line and the x-axis. And C is the interception point on the y-axis.

To find the gradient, we can calculate Δy/Δx. From the graph given we can take two points on the line with the coordinates (1,-4) and (0,-1). From this, we can calculate the gradient :

⇒[tex]\frac{(y2-y1)}{(x2-x1)}[/tex]

⇒[tex]\frac{(-1)-(-4)}{0-(1)}[/tex]

⇒-3

And , from the figure we can see the line is intersecting the y-axis -at -1.

So, putting the values in y=mx+c will give us y=-3x -1

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Checkpoint 4 will be higher than Checkpoint 3 by 108.

In our question, it is given that the Checkpoint 4 value is -99 and the Checkpoint 3 value is -207.

We will use Subtraction. What is Subtraction?

The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).

The operation of subtraction is used to calculate the difference between two numbers. If you have an object group and remove a couple of them, the object group gets smaller. For instance, your friends consumed 7 of the 9 cupcakes you purchased for your birthday party. You are now down to two cupcakes. This can be expressed as a subtraction formula: 9 - 7 = 2, which means "nine less seven equals two." The result of subtracting 7 from 9 is 2, or (9 - 7) Here, we divided two numbers, 9, and 7, by one another to get the difference of 2.

Subtracting the value of Checkpoint 3 from Checkpoint 4, we get:

Checkpoint  - Checkpoint 3 = -207 -(-99)

= -207 + 99 = 108.

Therefore Checkpoint 4 will be higher than Checkpoint 3 by 108.

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By applying the division formula, the number of times the ferry crossed the river would be 6 times.

To divide something means to split it into two or more equal pieces, areas, classes, categories, groups, or divisions. Dividing something means to give each component to a separate group, or to create equal parts from the whole. When doing division, the resulting value may or may not be an integer. The final result may occasionally be expressed as a decimal.

To calculate the division, we can use this following formula:

Dividend ÷ Divisor = Quotient + Remainder.

Where:

Dividend = the number, which is being divided

Divisor = the number, which divides the number (dividend) into equal parts

Quotient = the result of the division operation

Remainder = the leftover number in the division operation.

In this case, we are given that:

Dividend = 150

Divisor = 25

Thus, the number times the ferry crossed the river would be:

= 150 ÷ 25

= 6

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For the roots to be real and equal, the value of k should be 9, -9.

The complete question is:

For what values of k are the roots of the quadratic equation 3x2 + 2kx + 27 = 0 real and equal?      

For the roots of the equation to be real and equal, we first compare the given quadratic equation with standard form of quadratic equations, which is: [tex]ax^2+ bx+ c=0[/tex]

Thus, a = 3; b= 2k and c = 27

We know, for real and equal roots, Discriminant (D) = [tex]b^2 - 4ac[/tex] = 0

Therefore, we now substitute the values of a, b, and c in the above formula, we get

(2k)^2 - 4(3)(27) = 0

4k^2 - 324 = 0

4k^2 = 324

k^2 = 81

k= 9 or -9

Thus, the value of k is 9 or -9.

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Answer:

15.87% (2 d.p.)

Step-by-step explanation:

If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:

[tex]\boxed{X \sim\text{N}(\mu,\sigma^2)}[/tex]

Given:

Therefore, if the weights of adult male rhesus monkeys are normally distributed:

[tex]\boxed{X \sim\text{N}(17, 3^2)}[/tex]

where X is the weight of an adult male rhesus monkey.

To calculate the probability that a randomly selected adult male rhesus monkey has a weight less than 14 pounds, we need to find P(X < 14).

Calculator input for "normal cumulative distribution function (cdf)":

⇒ P (X < 14) = 0.158655253...

⇒ P (X < 14) = 15.8655253...%

⇒ P (X < 14) = 15.87%

Therefore, the probability that a randomly selected adult male rhesus monkey has a weight less than 14 pounds is approximately 15.87% (2 d.p.).

Answer:

$77.5

Step-by-step explanation:

Has risen in price BY 310% To mean its price has added 310% from the old price:

Price new = Price old + (Price old × 310%).

To calculate the difference, we just need to calculate 310% of the old price (a percentage is a hundredth):

$25 × 310% = $25 × 3.1 = $77.5

Answer:

when x = 12, a = 360 and b = 16.8.

Step-by-step explanation:

Answer: You multiply the 2 given numbers together

Step-by-step explanation: I hope this helped!

Answer:

Quadrilateral

Step-by-step explanation:

I remember learning this in math class. A parallelogram has two dimensions. Each of its four sides has two parallel pairs. The parallel sides have the same length.

If a = the measure of the smaller angle, we have:

[tex]\it a+2a+9^o=180^o\bigg|_{-9^o} \Rightarrow 3a=171^o\bigg|_{:3} \Rightarrow a=57^o[/tex]

Answer:

14.0cm

Step-by-step explanation:

if 13.8 = 12.0

then 16.1 = ?

[tex] \frac{16.1}{13.8} \times 12.0cm = 14.0cm [/tex]

Answer:

14 cm

Step-by-step explanation:

1st plant:

13.8 - 12.0 = 1.8

1.8/12 = .15

.15 x 100 = 15% growth

2nd plant:

let x =  original height

x + x(.15) = 16.1

1.15x = 16.1

x = 16.1 / 1.15 = 14.0 cm

The sum of terms with the notation kxn, where k is any number and n is a positive integer, is referred to as a polynomial.

The following expressions are polynomials:

A. 6y^2 + 5x

D. (7y^2 + 9x) / 4

Describe polynomials.

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers.

Any polynomial must have variable exponents that are non-negative integers.

Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

These expressions are now:

A. 6y^2 + 5x

B. (7x^2 + 8) / 4x

C. (y^2 + 3x ^1/3) / 4

D. (7y^2 + 9x) / 4

Here, we can observe that there are just two polynomial expressions.

A. 6y^2 + 5x

D. (7y^2 + 9x) / 4

The non-polynomial expressions include,

B. (7x2 + 8/ 4x) contains a variable in the numerator.

C. (y2 + 3x 1/3) / 4 - This exponent has a fractional exponent.

Consequently, the polynomial expressions are,

A. 6y^2 + 5x

D. (7y^2 + 9x) / 4

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Step-by-step explanation:

the area of a rectangle is

length × width.

so, it's simply a problem of multiplying 2 fractions.

it is

2 3/5 × 3 1/4

first we need to convert the numbers into true fractions.

2 3/5 = (2×5 + 3)/5 = 13/5

3 1/4 = (3×4 + 1)/4 = 13/4

the beauty of a multiplication (compared to addition) is that we don't need to bring the fractions to the same denominator. we can simply calculate with what they are.

you remember,

a/b × c/d = (a×c)/(b×d)

therefore,

13/5 × 13/4 = (13×13)/(5×4) = 169/20 =

= (8×20 + 9)/20 = 8 9/20

the area of the rectangle is 8 9/20 in²

Answer:

£1885.71

Step-by-step explanation:

Reducing by 30% is doing this: 100% - 30% = 70% = 0.7

Reducing a price by 30% is the same as multiplying the price by 0.7

Adding 17.5% is doing this: 100% + 17.5% = 117.5% = 1.175

Adding 17.5% to a price is the same as multiplying the price by 1.175

Let the original price be x.

1.175 × 0.7 × x = £1551

x = £1551/(1.175 × 0.7)

x = 1885.71

Answer: £1885.71

For the given tossing of number cube and its frequency outcome, the probability on landing a number greater than 4 is, 18/60.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Total number of tossing a number cube = 60

Here, Number of times greater than 4 comes up = 10 + 8 (frequency of is 10 and frequency of 6 is 8)

Hence, Number of times greater than 4 comes up = 18

Thus, Probability of getting number greater than 4

=  (frequency of getting 5 and 6) / (total number of trials)

Hence, Probability of getting number greater than 4  = 18 / 60                                                                      

Therefore, For the given tossing of number cube and its frequency outcome, the probability on landing a number greater than 4 is 18/60.

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The equation -3p + (1/8) = (- 1/4) holds true for p = 0.125.

The equation is as follows:

-3p + ( 1/8 ) = ( - 1/4 )

The denominators of the two terms are different on the left-hand side of the equation.

The LCM of 1 and 8 is therefore 8.

Therefore,

- 3p × ( 8 / 8 ) + ( 1 / 8 ) × ( 1 / 1 ) = ( - 1 /4 )

- 24p / 8 + 1 / 8 = - 1 / 4

( - 24p + 1 ) / 8 = - 1 / 4

Add 8 to both sides of the equation now.

We get,

[ ( - 24p + 1 ) / 8 ]

× 8 = ( - 1 / 4 ) × 8

- 24p + 1 = - 8 / 4

- 24p + 1 = - 2

Add 1 to each side of the equation, then

- 24p + 1 - 1 = - 2 - 1

-24p = - 3

Subtract 24 from each side of the equation now.

- 24p / 24 = - 3 / 24

- p = ( - 1 / 8 )

On each side of the equation, multiply by -1.

( - p ) × ( - 1 ) = ( - 1 / 8 ) × ( - 1 ) ( - 1 )

p = 1 / 8

p = 0.125

The equation will be true for p = 0.125.

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A graph which has a slope of negative three halves and a y-intercept of 3 include the following: C. graph of a line passing through the points 0 comma 3 and 2 comma 0.

Mathematically, the point-slope form of any straight line can be calculated by using this expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

From the information provided above, we have the following slope and data points on this line:

At data point (0, 3), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 3 = (0 - 3)/(2 - 0)(x - 0)

y - 3 = -3/2(x)

y = -3x/2 + 3

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Answer:

Step-by-step explanation:

A graph which has a slope of negative three halves and a y-intercept of 3 include the following: C. graph of a line passing through the points 0 comma 3 and 2 comma 0.

What is the point-slope form?

Mathematically, the point-slope form of any straight line can be calculated by using this expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.

x and y represents the data points.

From the information provided above, we have the following slope and data points on this line:

Points on x-axis = (0, 2).

Points on y-axis = (3, 0).

At data point (0, 3), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 3 = (0 - 3)/(2 - 0)(x - 0)

y - 3 = -3/2(x)

y = -3x/2 + 3

The domain is the set of all x-values (or inputs) used by the function.  In a graph like this, you want to see how the graph lines up with the x-axis.  

As an interval, the domain is [-4,-1], as shown on the domain graph.
(Remember to write intervals from lesser-to-greater.)

The range is the set of all y-values (or outputs) used by the function.  In a graph like this, you want to see how the graph lines up with the y-axis.  

As an interval, the range is [-4,-2].  
(Again, remember to write intervals from lesser-to-greater.)

Answer:

Nabila has $25 dollars.

Hasan has $19 dollars.

Tarek has $50 dollars.

Step-by-step explanation:

Let's say Hasan has "x" dollars at first. The question tells us that Nabila has six more dollars than Hasan has. This means that Nabila has "x + 6" dollars. The last given information is that Tarek has two times what Nabila has. So, Tarek has "2x + 12" dollars, basically.

Then, we can add up all these amounts to find out the result for each person.

We found what is "x". This means that we actually found the answer.

Hasan had "x" dollars so he has $19 dollars.

Nabila had "x + 6" dollars so she has $25 dollars.

Finally, Tarek had "2x + 12" dollars or two times of what Nabila has so he has $50 dollars.

Expanding, which entails multiplying out the factors, allows an equation in factored form to be rewritten in standard quadratic form.

The steps we employ in doing so are as follows:

Opposite of expanding is factoring an expression. Parenthesis or grouping symbols are removed from an expression when it is expanded. The Greatest Common Factor (GCF) from each phrase allows each extended statement to be factored.

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Answer: (9.5, 24)

Step-by-step explanation:

10x + 7y = 263           (1)

4x + 8y = 230              (2)

Multiply (1) by 4 and (2) by 10:

40x + 28y = 1052             (3)

40x + 80y = 2300              (4)

Do (4) - (3):

52y = 1248

y = 24

x = 9.5

(x, y) = (9.5, 24) :>

Answer:

.125%

Step-by-step explanation:

Answer:

To find the percent of tourists buried up to their neck in sand, you can divide the number of buried tourists by the total number of tourists and multiply by 100.

12 buried tourists / 9,600 total tourists = 0.00125

0.00125 x 100 = 0.125 or 12.5%

So, 12.5% of the tourists were buried up to their neck in sand.

Ratio of sine of angle of incidence to the sine of angle of refraction is constant by Snell’s law.

According to Snell's Law, the refractive index, or n, is a constant that represents the ratio of a wave's angle of incidence to angle of refraction as it passes through a boundary between two mediums.

₁n₂=n₂/n₁=sin θ₁/sin θ₂= v₁/v₂,

where n is the refractive index,

v is the speed in different medium and θ is the angle between the normal and the ray at the surface of boundary.

If we do an experiment and measure the angles of incidence and refraction, we will discover that a straight line passing through the origin results from plotting the sine of the angles of incidence and refraction.

This shows that the sine of the angle of incidence and the sine of the angle of refraction are directly related, and that the ratio of the two will result in a constant value that we refer to as the refractive index. The ratio of the sines of the angles corresponds to the proportion of the wave speeds through the medium.

Thus, we can say that refractive index is constant for a given pair of media.

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The translation and rotation of 180° about the origin. Then the correct option is A.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

From the graph, the trapezoid W'X'Y'Z' is derived by the translation and rotation of 180° about the origin. Then the correct option is A.

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