Triangle ABC has the following angle measures:

m∠A = (x + 6)°, m∠B = (3x − 15)°, m∠C = (5x + 36)°

What is m∠C?

Given:

The number sentence for 4 and n

Required:

We have to find the given sentence

Explanation:

4 and N, simply means you mixed them up, you sum them up

your result is 9, 4+N=9

Required solution :

4+N=9

The arithmetic mean is 59.

What is arithmetic mean?

It is the sum of collection of numbers divided by the count of the numbers.

Conider AB is the nuber satisfying the condition. Hence,

[tex]10A+B=A+B+A\times B\\9A=A\times B\\[/tex]

Since AB is a two digit number hence, [tex]A\neq 0\\[/tex]. Hence, divide both sides by [tex]A[/tex].

[tex]9=B[/tex]

Hence, B is 9 and A can take any value from 1 to 9.

Hence, numbers are 19, 29, 39, 49, 59, 69, 79, 89,99.

Now, calculate arithmetic mean as follows:

[tex]AM=\frac{Sum \ of \ numbes}{Count \ of \ numbers}\\=\frac{19+29+39+49+59+69+79+89+99}{9}\\=59[/tex]

Hence, arithmetic mean of numbers is 59.

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A forest is decreasing in size by 60 hectares every 3 years. In 7 years, the forest will have decreased by 140 hectares.

Using the Unitary Method:

∵ In '3' years, a forest decreased in size by '60' hectares

∴ In '1' year, a forest will be decreased in size by '20' hectares

Every year 20 hectares is decreased. Considering a regular trend in the decrement of forest area, the time span of '7' years will diminish 'to 140' hectares.

The 'Unitary Method' is also known as the 'Mango Method'. It establishes a relation between given data. The relation is used to predict results in different conditions. The Unitary Method is always used for regular trends.

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The truck can haul 1102 pounds.

According to the question,

We have the following information:

A Ford F-150 truck is considered a half-ton truck because that is how much it can haul.

(More to know: ton, pounds and kilograms are the most commonly used units for measuring weight.)

Now, we already have the knowledge that 1 ton is equal to 1000 kilograms.

So, half ton will make 500 kg.

Now, in order to convert this into pounds, we will multiply 500 kg by 2.205 because we know that 1 kg makes 2.205 pounds.

1 kg = 2.205 pounds

500 kg = (500*2.205) pounds

500 kg = 1102.5 pounds

Hence, the truck can haul 1102.5 pounds.

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Answer:

y = -1

Explanation:

The slope-intercept form of the equation of a line has the form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope can be calculated as:

Where (x1, y1) and (x2, y2) are the coordinates of two points in the line.

So, replacing (x1, y1) by (1, -1) and (x2, y2) by (2, -1), we get:

On the other hand, the y-intercept is the point where the line crosses the y-axis. So, the y-intercept is -1.

Finally, the equation of the line in the slope-intercept form is:

y = 0x - 1

y = -1

So, the answer is y = -1

When Allison arrived, Austin still had 24 miles to go. Allison drive 116 miles per hour.

What is distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

As given, Allison drove home at 58 mph, but her brother Austin, who left at the same time, could drive at only 46 mph.  Allison arrived, Austin still had 24 miles to go.

Let t be the time they drove.

Then you have this "distance" equation

58t = 46t + 24

saying that both parts of the equation represent the same distance.  Then

58t - 46t = 24

12t = 24

t = 2  hours.

Hence the distance is, 2 x 58 = 116 mph.

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At first, we multiply 5 by 4

Then multiply 5 by 3i

Then multiply -2i by 4

Then multiply -2i by 3i

Since i^2 = -1, then we will multiply -6 by -1

Now, we will add the terms

Then we will add the like terms

So the answer is b

Answer:

(4, 1 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = C (1, 9 ) and (x₂, y₂ ) = D (7, - 7 ) , then

midpoint = ( [tex]\frac{1+7}{2}[/tex] , [tex]\frac{9-7}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex] , [tex]\frac{2}{2}[/tex] ) = (4, 1 )

The measurement is closest to the length of the rectangle is √119 ft.

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c = √( a² + b² )

Where c is the diagonal that divides the rectangle into two equal triangle, a and b are the other legs of the triangle.

Given the data in the question;

Plug the values into the formula and solve for b.

12ft = √( (5ft)² + b² )

Take the square of both sides

( 12ft )²  = (5ft)² + b²

144ft²  = 25ft² + b²

b² = 144ft² - 25ft²

b² = 119ft²

b = √( 119ft² )

b = √119 ft

Therefore, the measure of the length is √119 ft.

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There are 64000 distinct combinations .

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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Solution

Given, ABCD is a rectangle AC is diagonal

Then AD=BC and AB=CD

And ∠ABC=∠BCA=∠CDA=∠DAB=90

0

In ΔABC and ΔADC

∠ABC=∠ADC (Angle of rectangle)

AB=DC (Opposite side of rectangle )

AC=AC (Common side)

∴ΔABC≅ΔADC

∴∠ACD=∠ACB

∵∠ACD+∠ACB=90

0

..........[Angle ACB is the angle of rectangle]

∴2∠ACD=90

0

⇒∠ACD=45

0

If function f(x) = [tex]x^2[/tex] + 4x -1, then the value of g(x)= f(x+4) = [tex]x^2[/tex] + 12x +31

The function is

f(x) = [tex]x^2[/tex] + 4x -1

The function is the expression that represents the relationship between one variable and another variable. If one variable is dependent variable then the another variable is independent variable.

The value of g(x) = f(x+4)

First we have to find the value of f(x+4)

Substitute the values in the function

f(x) = [tex]x^2[/tex] + 4x -1

f(x+4) = [tex](x+4)^2[/tex] + 4(x+4) - 1

= [tex]x^2[/tex] + 8x +16 + 4x+16 - 1

Rearrange the terms and combine the like terms

= [tex]x^2[/tex] + 8x+4x + 16+16-1

= [tex]x^2[/tex] + 12x +31

Hence, if function f(x) = [tex]x^2[/tex] + 4x -1, then the value of g(x)= f(x+4) = [tex]x^2[/tex] + 12x +31

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The rate of water flow per week is 124 liters.

What is the of water flow?

Running water naturally travels along the slope in a direction determined by gravity. This is referred to as a water flow.

Given is, the water flows through a pipe at a rate of 7 liters every 9.5 hours.

So,

water flows per hour = [tex]\frac{7}{9.5}[/tex]

Hours in a week = 7 x 24 = 168 hours

Water flow per week = hours in a week x water flow per hour.

                                    [tex]= 168 x \frac{7}{9.5} \\= 123.7894[/tex]

Water flow per week = 124 liters.

Therefore, the water flow per week is 124 liters.

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Answer:

Step-by-step explanation:

4 - 3 x = 6 - 5 xx

[tex]-3x+4=6-5xx^{2}[/tex]

x = 1

x = - [tex]\frac {2}{5}[/tex]

Answer:

x=1

Step-by-step explanation:

sense x's are on both sides you need to bring one of them over, add 3x to both sides to get 4=6-2x , then subtract 6 from each side to get -2=-2x , then to get x by itself divide both sides by -2 to get 1=x

Answer:

A = 540 m²

Step-by-step explanation:

consider the shape split into 3 rectangles

the length is divided into 3 congruent sections

single dash = 30 m ÷ 3 = 10 m

the width is divided into 3 congruent sections

double dash = 27 m ÷ 3 = 9 m

then area (A) is the total of the 3 rectangular areas

A of left rectangle = 10 × 9 = 90 m²

A of middle rectangle = 10 × (9 + 9) = 10 × 18 = 180 m²

A of right rectangle = 10 × 27 = 270 m²

total area = 90 + 180 + 270 = 540 m²

A fifth-degree polynomial function can have five turning points in its graph.

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Answer:

The correct is answer is option C: "four or less"

The answers to the next  part of the question on Edge are options A and C :)

Step-by-step explanation:

Hope this helped!

Brainliest would be greatly appreciated - Have a great day :3

Given:

To Determine: The percentage with greater than 24mpg

Solution

The reasonable fraction for the part of the pan of brownies Kayla gave away is 1/2.

Kayla gave 1/3 of a pan of brownies to Ella and 1/6 of the pan to Eli.

Therefore, the part given away will be the addition of the fractions. This will be:

= 1/3 + 1/6

= 2/6 + 1/6

= 3/6

= 1/2

Therefore, 1/2 of the brownies were given away.

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Answer :- Constant term

In p(x) = x - 12, 1 is the coefficient of x and -12 is the constant term.

The position of N on the line segment is at the -14 mark

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The complete question is added as an attachment

From the attachment, we have

The ratio is given as:

MN : NP = 7 : 2

Also, we have

Location of M = -27

Location of P = -9

The location of N is then calculated as

N = MN/(MN + NP) * (M - P)

Substitute the known values

N = 7/(7 + 2) * (-27 + 9)

Evaluate the sum

N = 7/9 * -18

Evaluate the product

N = -14

Hence, the location of point N is -14

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Answer:

top: y=f(x)=-2x+5

middle: y=4x

last: y=(9/2)x-3

W+(9+3) is the equivalent expression of  (w+9)+3 by using associate property

An expression is combination of variables, numbers and operators.

The given expression is (w+9)+3

The operator in given expression is plus and variable is W.

The associative property of addition states that Changing the grouping of addends does not change the sum.

(x+y)+z=x+(y+z)

Similarly (W+9)+3=W+(9+3)

W+(9+3) is the equivalent expression of  (w+9)+3 by using associate property

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The equation of a line in Standard form is:

Where "A", "B" and "C" are Integers ("A" is positive).

The Slope-Intercept form of the equation of a line is:

Where "m" is the slope and "b" is the y-intercept.

In this case you know that:

And knowing that the line passes through the point

You can substitute values and solve for "b":

Then, the equation of this line in Slope-Intercept form is:

Now that you have this equation, you can write it in Standard form as following:

The answer is:

The mean is 58.319 m/h and the standard deviation is 11.665 m/h of the vehicle speed if 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h.

The mean and standard deviation of the vehicle speed can be calculated by using the formula for z-score.

The z-score of measure X can be given as;

Z = X - μ / σ

In this case, 39.13 m/h is the 5th percentile; therefore when X = 39.13, Z has a p-value of 0.05, hence Z = -1.645

Z = X - μ / σ

-1.645 = (39.13 - μ) / σ

39.13 - μ = -1.645σ

μ = 39.13 + 1.645σ

Additionally, 73.25 m/h is the 90th percentile (100 - 10 = 90), therefore when X = 73.25, Z has a p-value of 0.9, hence Z = 1.28

1.28 = (73.25 - μ) / σ

73.25 - μ = 1.28σ

μ = 73.25 - 1.28σ

We can find the standard deviation by equalling both equations as follows;

39.13 + 1.645σ = 73.25 - 1.28σ

1.645σ + 1.28σ = 73.25 - 39.13

2.925σ = 34.12

σ = 34.12/2.925 = 11.665 m/h

Now the mean can be calculated as follows;

μ = 73.25 - 1.28σ

μ = 73.25 - 1.28(11.665)

μ = 58.319 m/h

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Answer:

30

Explanation:

To know the output value of the function, we need to replace x by -5 and calculated f(x). So:

Therefore, if the input x is -5, the output f(x) is 30

So, the answer is 30.

According to the theorem, the corresponding angles, formed by a transversal on a pair of parallel sides, are always equal.

Also, the sum of angles on a straight line is 180 degree.

The angles 5 and 7 constitute a pair of corresponding angles, formed by the transversal 'r' on the pair of parallel sides 'p' and 'q'. So they must be equal,

The angles 4 and 5 constitute a straight line, so they must add up to be 180 degrees,

Thus, the angle 4 measures 49 degrees.

Answer:

Inconsistent: parallel lines.

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y=4x+4\\-12x+3y=3\end{cases}[/tex]

Use arithmetic operations to isolate y in the second equation:

[tex]\implies -12x+3y+12x=3+12x[/tex]

[tex]\implies 3y=12x+3[/tex]

[tex]\implies\dfrac{3y}{3}=\dfrac{12x}{3}+\dfrac{3}{3}[/tex]

[tex]\implies y=4x+1[/tex]

Therefore, we can see that both equations have the same slope and so the graphs of these equations are parallel.

The solution to a system of linear equations is the point of intersection.

As parallel lines never intersect, there are no solutions to this system and the system is said to be inconsistent.

The discount rate is 15% and the VAT rate is 13%

The following can be deduced:

MP = 2080

Discount = d%

VAT = (d-2)%

Cost = 1997.84

Apply discount:

2080 - d% = 2080*(1 - 0.01d)

Add VAT:

2080*(1 - 0.01d) + (d - 2)%

2080*(1 - 0.01d) * (1 + (d -2)/100)

2080*(1 - 0.01d) * (0.98 + 0.01d)

= 1997.84

(1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080

0.98 + 0.01d - 0.0098d - 0.0001d²

= 0.9605

- 0.0001d² + 0.0002d + 0.98- 0.9605 = 0

0.0001d²- 0.0002d - 0.0195 = 0

d² - 2d + 195 = 0

Solving the quadratic equation we get:

d = 15

Therefore discount is 15%

VAT rate = d - 2 = 15% - 2% = 13%

The concept shown above is the calculation for the discount and the amount of the value added tax.

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In this picture, we have the triangles with two common sides and one common angle. However, they are not congruent, as they do not follow any of the congruence theorems. The congruence theorem with two sides and an angle is the SAS(Side-Angle-Side). However, the angle has to be the angle between the two sides, which does not happen in this case.

⇒Mathematically this means

[tex]\frac{1}{4} (r+10)= r-4\\\frac{r}{4} +\frac{10}{4} =r-4\\\frac{r}{4}(4) +\frac{10}{4} (4)=r(4)-4(4)\\r+10=4r-16\\r-4r=-16-10\\-3r=-26\\\frac{-3r}{-3} =\frac{-26}{-3} \\r=\frac{26}{3}[/tex]

Attached is the solution.