solve:4x+3y=20;4x+2y=10 by matrix method​

Answer:

The answer is 90 degrees

Step-by-step explanation:

Both A and B make a right angle, which is 90 degrees.

Hope it helped :)

The value of m∠A + m∠B is 90°

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

Three lines intersect to form 5 angles such that:

From the top left ∠B made and after this 90° made.

∠D = 124°

From the figure, we can clearly see ∠A = ∠C (vertically opposite angles)

We can calculate ∠C = 360°-90°-90°-124° ⇒ 56°

Also ∠A = 56°

and ∠B = 90° - 56° ⇒ 34°

Now we can calculate the sum of the angle ∠A+∠B = 56+34 ⇒ 90°

Thus, the value of m∠A + m∠B is 90°

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Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

Step-by-step explanation:

y\(f(x)^{-1} = inverse\\f(x)=y \\y = 1/(x^{3} \\Inverse: y=x ------------> x = 1/y^{3}\\y^{3} - \frac{1}{x} = 0\\y^{3} = \frac{1}{x}\\y = \sqrt[3]{\frac{1}{x}} \\y = \frac{\sqrt[3]{1} }{\sqrt[3]{x}} \\y = \frac{1}{\sqrt[3]{x}}\)

Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.

To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.

On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.

This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.

To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.

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Answer:

first lets find the area of the floor.

A=l*w     where l=length and w=width

Plug in the data

A=14*12

A=168ft²

If 1 square foot of carpet is 2.90$, then 168 square feet are...

 1 sqft         168sqft

_______ = ________

 2.90$             x$

Cross multiply

1x=487.20

divide both sides by 1

x=487.20 dollars

Answer= $487.20

Step-by-step explanation:

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

If an amount is included as a "Gratuity" or "Service Charge," tipping is not required. ... If the tip is included, the breakdown of the bill will read "gratuity" or "service charge," which means that a tip is already included.

Step-by-step explanation:

hope this helps!

Answer:

It’s a ratio

Step-by-step explanation:

Is that the whole question?

Answer:

YAN SHSHHSSHSHSH HAHAH

Answer:

±10i

Step-by-step explanation:

sqrt( -100)

sqrt(  100*-1 )

We know sqrt(ab) = sqrt(a) sqrt(b)

sqrt(100)sqrt(-1)

We know that sqrt(-1) = i

±10i

Answer:

0 + 10i

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

Answer:

(C) -7x - 5y = -48

Step by step explanation:

We look for the equation of the line AB

We have then:

y-yo = m (x-x0)

m = (y2-y1) / (x2-x1)

m = (4 - (- 1)) / (4 - (- 3))

m = 5/7

We choose an ordered pair:

(xo, yo) = (4, 4)

Substituting:

y-4 = (5/7) (x-4)

y = (5/7) x-20/7 + 4

7y = 5x - 20 + 28

7y = 5x + 8

y = (5/7) x + 8/7

The equation of the perpendicular line is:

-7x - 5y = -48

The inequality relation  -q > -7  can be represented in the form of q as q < 7

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be A

The value of A is - q > - 7

Now , multiplying by (-1) on both sides of the equation , we get

( -1 ) ( -q ) > ( -1 ) ( - 7 )

The inequality relation will change the sign from > to < and ,

q < 7

So , the value of the inequality relation A is q < 7

Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

Hence , The inequality relation  -q > -7  can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

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The minuend and the subtrahend of 696 - 275 can be decomposed to give;

600 + 90 + 6

-

200 + 70 + 5

400 + 20 + 1

The decomposition into place values is chosen because of ease of reinforcing knowledge.

The decomposition method of subtraction involves decomposing the subtrahend, which is the smaller number and the place value of the numbers can be simply subtracted from the minuend.

In the subtraction, 696 - 275, the minuend is 696, while the subtrahend is 275.

Decomposing the subtrahend, gives;

275 = 200 + 70 + 5

Decomposing the minuend, gives;

696 = 600 + 90 + 6

The subtraction expression in the question, 696 - 275 gives;

696

-275

The above can therefore be decomposed as follows;

600 + 90 + 6

-

200 + 70 + 5

400 + 20 + 1

400 + 20 + 1 = 421

Therefore;

696 - 275 = 421

The reason the decomposition into place values of each digit is chosen is so as to make use of the easier understanding of subtracting numbers that are multiples of 10.

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The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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Answer:

Value of A is -1

Value of B is 1

Answer:(4, 4), (7, 0), (4,-2)

Step-by-step explanation: The median of a triangle is the line segment connecting a vertex to the midpoint of the opposite side. In this triangle, the vertex at (7, 4) is connected to the midpoint of the side opposite it, which is the midpoint of the line segment between (1, 4) and (7, -2). This midpoint is located at (4, 0). Therefore, the median through (7, 4) will consist of the points (4, 4), (7, 0), and (4, -2).

Answer:

where is the question?

Step-by-step explanation:

Answer:

where is question?

Step-by-step explanation:

where is question hub

The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

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The addition of the given fraction expression is 7/8.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.

When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.

In this case, both fractions have a denominator of 8, so we can add their numerators:

5/8 + 2/8 = (5 + 2)/8 = 7/8

Thus, the sum of 5/8 and 2/8 is 7/8.

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We need to write the vector v in terms of i and j.

In order to do so, we can start by writing its initial and terminal points in terms of i and j:

Thus, the vector v (terminal point minus initial point) is given by:

Therefore, the answer is:

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Answer:

136cm, B

Step-by-step explanation:

Since you are dealing with area…multiply 17 and 8. After you multiply those those numbers, you’d get 136. The unshaded area is 30. Add those and you would get 166. Now you have to subtract 30 and you’d get B, 136cm.

Answer:

The answer is

Step-by-step explanation:

To find the equation of a line given a point and slope we use the formula

where

m is the slope

( x1 , y1) is the point

From the question

Slope / m = - 2

The point is ( 10, - 9)

Substitute the values into the above formula

That's the final answer is

Hope this helps you

1. Name two possible solutions to the equation W = 250 + 132.5T. What do the solutions mean in this situation?

As you can see the weight of the box is given by:

W = 250 + 132.5T

So using this equation we can find the total weight given x number of t-shirts, for example: Suppose we want to know the total weight if the number of t-shirts is 50:

T= 50:

W = 250 + 132.5(50) = 250 + 6625 = 6875g

In the same way if we know the weight, we can determine the total number of t-shirts, for example, suppose the total weight is 5000g:

5000 = 250 + 132.5T

Let's solve for T:

Subtract 250 from both sides:

5000-250 = 132.5T

4750 = 132.5T

Divide both sides by 132.5:

4750/132.5 = T

38.849 = T

so we can conclude that there were approximately 39 t-shirts

6. Consider the equation 2,900 = 250 + 132.50T. In this situation, what is the solution to the equation and what does the solution tell us?

Basically they are telling us that the weight of the box in this case is 2900:

W = 2900

2900 = 250 + 132.5T

So, we can find the total number of t-shirts in the box solving the equation for T:

Subtract 250 from both sides:

2900 - 250 = 132.5T

2650 = 132.5T

Divide both sides by 132.5:

2650/132.5 = T

20 = T

T = 20

This solution tell us that there were 20 t-shirts in the box

Answer:

The area of this figure is 31,29.

Step-by-step explanation:

We have to find also the area of the rectangle, then we will find the area of the circle and divide by 2 because here is a half circle.

area of the rectangle = b x h

area of the rectangle = 6 x 6

area of the rectangle = 36

diameter = 6

r = d : 2

r = 6 : 2

r = 3 ft

area of the circle = π x r²

area of the circle = 3,14 x 3 ft

area of the circle = 9,42 ft

area of half of circle = 9,42 : 2 = 4,71 ft

area of this figure = area of rectangle - area of half of the circle

area of this figure = 36 - 4,71

area of this figure = 31,29

So the area of this figure is 31,29.

I hope this is helpful. :)