Write the equation of the graph that results when:

Answer:

Okay I gotcha one sec

You add all the angles to 180

and solve from there

180 is what a triangle measures up to be

48 + (6x -28) + (2x)= 180

20 + 8x = 180

-20 on both sides

8x = 160

160/8

x=20

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

ok was it college math if so the I don't know

The Option B statement "the opposite angles are equal" accurately describes a rhombus, as each of the four angles of a rhombus are equal to each other. This means that the opposite sides of the rhombus have the same measure.

A rhombus is a four-sided shape with all sides equal in length. It is also known as a diamond shape. The most important thing to remember about a rhombus is that the opposite angles are equal.

This means that the two angles across from each other on the rhombus have the same measure. This is what is meant by the statement "the opposite angles are equal," and it accurately describes a rhombus.

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Answer:

c

Step-by-step explanation:

when you set y=0 and solve you get x=-2

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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The categorical data, in this case, refers to information that can be sorted into specific categories or groups. Among the options provided, hair color would be considered categorical data.Option c is correct

Hair color falls into distinct categories such as blonde, brown, black, red, or other variations. It is a qualitative characteristic that cannot be measured on a numerical scale.On the other hand, the other options can be classified as numerical data.

The number of siblings (option A) and age (option B) are both quantitative variables that can be represented numerically. They can be counted or measured using specific numerical values. Similarly, height (option D) is a quantitative measurement that can be expressed using numbers or units of length.

In summary, while number of siblings, age, and height are numerical data, hair color is an example of categorical data as it falls into distinct categories or groups.Option c is correct.

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Answer:

-15

Step-by-step explanation:

8+7=15

so

-8-7 = -15

3n=n-2

3n-n=2

2n=2

n=1

Hope it helps you! Please mark Brainliest! :)

The value of x in the right angle placed is equal to 16

A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life. It can be seen in the corners of a room, the edges of boxes, the screen of a mobile phone, and so on. The sides of a square and a rectangle always form a right angle with each other. In radians, it is represented as π/2. Let us discuss more about a right angle in this article.

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

In the given question, we can set an equation and find the value of x

90 = 26 + 4x

Lets solve for x

4x = 90 -26

4x = 64

x = 16

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Hello, to find the sign of the product we use the following rules.

- by + is -

"The enemy of my friend is an enemy."

+ by - is -

"The friend of my enemy is an enemy."

- by - is +

"The enemy of my enemy is a friend."

+ by + is +

"The friend of my friend is a friend."

We can build the following array.

\(f(x)=(x+1)(x-3)(x-7)(x+6)\)

\(\begin{array}{|c|ccccccccc}x &-\infty & -6 & & -1 & & 3 & & 7 & +\infty\\---&---&---&---&---&---&---&---&---&---\\(x+1)&-&-5&-&0&+&4&+&8&+\\(x-3)&-&-9&-&-4&-&0&+&5&+\\(x-7)&-&-13&-&-8&-&-4&-&0&+\\(x+6)&-&0&+&5&+&9&+&13&+\\---&---&---&---&---&---&---&---&---&---\\f(x)&+&0&-&0&+&0&-&0&+\\\end{array}\)

So f(x) > 0 <=> x < -6 or -1 < x < 3 or x > 7

Thank you

Answer:

182.6

Step-by-step explanation:

To solve this inequality you need to add 2 to both sides.

Which means the answer is add, but I will solve it in this explanation too.

x-2≤1

x-2+2≤1+2

x≤3

Hope this answer helped!

14.5 + 12.516= 27.016. so then you would add 27.016 + 7.25= 34.266.

\(\left(\dfrac{7}{4} \right)^{11} = \dfrac{7^{11}}{4^{11}}\)

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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the answer is D i think .

Answer:

From Thursday to Friday, the change in the depth was 19/16 inches

or as a mixed number, 1 3/16 inches

Step-by-step explanation:

From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches

now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8

so, 2 3/8 = 19/8 inches = depth change from monday to thursday

From Thursday to Friday, the depth changed by half as much,

so,

depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)

depth change from thursday to friday = 1/2(19/8) = 19/16 inches

Answer:

B. 4.62 x 10^5 is scientific notation of 462000

Answer: See explanation

Step-by-step explanation:

4x + 20x - 8 = -2 (-12x + 8)

Step 1

Distribute -2 to (-12x + 8)

4x + 20x - 8 = 24x - 16

Step 2

Combine 4x and 20x together

24x - 8 = 24x - 16

Step 3

Add 8 to both sides

24x = 24x - 8

Step 4

Subtract 24x from both sides

0 ≠ -8

That is incorrect so it's not a solution

Hope I helped!

Step-by-step explanation:

Taking the provided equation ,

\(\implies \dfrac{3x+4}{5}-\dfrac{2}{x+3} =\dfrac{8}{5} \)

1) Here denominator of two fractions are 5 and x +3 . So their LCM will be 5(x+3)

\(\implies \dfrac{(x+3)(3x+4)-(2)(5)}{5(x+3)}=\dfrac{8}{5} \)

2) Transposing 5(x+3) to Right Hand Side . And 5 to Left Hand Side .

\(\implies 5(3x^2+4x+9x+12 -10) = 40(x+3)\)

3) Multiplying the expressions.

\( \implies 5(3x^2+13x+2) = 40x + 120 \)

4) Opening the brackets .

\(\implies 15x^2+ 65x + 10 = 40x + 120 \)

5) Transposing all terms to Left Hand Side .

\(\implies 15x^2 + 65x - 40x + 10 - 120 = 0 \\\\\implies 15x^2 +25x - 110 = 0\)

6) Solving the quadratic equation .

\(\implies 5(3x^2+5x -22) = 0 \\\\\implies 3x^2+13x-22 = 0 \\\\ \implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{4ac} \\\\\implies x = \dfrac{-5\pm \sqrt{5^2-4(-22)(3)}}{2(3)} \\\\\implies x = \dfrac{-5\pm \sqrt{289}}{6}\\\\\implies x =\dfrac{-5\pm 17}{6} \\\\\implies x = \dfrac{17-5}{6},\dfrac{-17-5}{6}\\\\\implies x = \dfrac{12}{6},\dfrac{-22}{6} \\\\\underline{\boxed{\red{\bf\implies x = 2 , \dfrac{-11}{3}}}}\)

Answer:

\(x=2\\x=-\frac{11}{3}\)

Step-by-step explanation:

Solve the rational equation:

\(\displaystyle \frac{3x+4}{5}-\frac{2}{x+3}=\frac{8}{5}\)

To eliminate denominators, multiply by 5(x+3) (x cannot have a value of 3):

\(\displaystyle 5(x+3)\frac{3x+4}{5}-5(x+3)\frac{2}{x+3}=5(x+3)\frac{8}{5}\)

Operate and simplify:

\(\displaystyle (x+3)(3x+4)-5(2)=(x+3)(8)\)

\(\displaystyle 3x^2+4x+9x+12-10=8x+24\)

Rearranging:

\(\displaystyle 3x^2+4x+9x+12-10-8x-24=0\)

Simplifying:

\(\displaystyle 3x^2+5x-22=0\)

Rewrite:

\(\displaystyle 3x^2-6x+11x-22=0\)

Factoring:

\(\displaystyle 3x(x-2)+11(x-2)=0\)

\(\displaystyle (x-2)(3x+11)=0\)

Solving:

\(x=2\\x=-\frac{11}{3}\)

Answer:

B) $85,167

Step-by-step explanation:

u got discount 45% so u just have to pay 55% of it

cost = 55% x $154,85 = $85,1675

Answer:

Hope this helps you hehehe!

The graph of the linear equation, x = 6, is shown in the image attached below.

The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.

Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.

Thus, the graph of the linear equation, x = 6, is shown in the image attached below.

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Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

We have two consecutive numbers n and (n+1).

We have to find n, so that the square root of 170 falls between n and (n+1).

We know that the square of 13 is 169, so the square root of 170 is between 13 and 14.

Bases of the condition the system of equations has no solution.

Given,

In the question:

The system of equations are as follows:

x – 2y – 5 = 0

-2x + 4y = 6

Show that each one of the following system of equations is inconsistent:

Now, According to the question:

The Equations given as:

x – 2y – 5 = 0

-2x + 4y = 6

Rearrange the equations;

x – 2y = 5

-2x + 4y = 6

Rearrange like terms to the same side of the equation

x = 5 + 2y

-2x + 4y = 6

Substitute into one of the equations:

-2(5 + 2y) + 4y = 6

Apply the Distributive Property:
-10 - 4y + 4y = 6

-10 = 6

Hence, Bases of the condition the system of equations has no solution.

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