Provide the missing reasons for the following proof:
(In the picture)

Options
- Transitive Property of
Congruence
- Subtraction Property of
Equality
- Vertical Angles Theorem
(VAT)
- Division Property of
Equality
- Given
- Angle Congruence
Postulate
- Substitution Property of
Equality

Answer: 14a + 1

Step-by-step explanation:

( 7a x 3 - 2a - 2 ) + ( -5a + 3 )

( 21a - 2a - 2 ) + ( -5a + 3 )

21a - 2a - 2 - 5a + 3

14a + 1

The value of the variable k in the equation given as 2k + 6k = h is k = h/8

From the question, the equation is given as

2k + 6k = h

Evaluate the like terms

i.e. We add 2k and 6k together.

This gives 8k

So, we have the following equation

8k = h

Divide both sides of the equation by 87

So, we have the following equation

8k/8 = h/8

Evaluate the quotient in the equation

k = h/8

The equation cannot be further simplified

Hence, the solution for k is k = h/8

Read more about equations at

https://brainly.com/question/2972832

#SPJ1

step 1

Find out the area of the complete quadrant of the circle (1/4 of the complete circle)

where

r=2 units

substitute

step 2

Find out the area of the semicircle removed

where the radius of the semicircle removed is half of the radius of the circle

so

r=2/2=1 unit

therefore

to find out the area of the falcata, subtract the area of the removed semicircle from the area of the quadrant of the circle

The area of the falcata is

A=pi-pi/2=pi/2 unit2

Answer:

A) 1060 (corrected to the nearest 10) B) 1700

Step-by-step explanation:

A) the answer is 1058 which taken to the nearest 10 is 1060

B) the answer is 1700 which does not need to be corrected

Answer:

7.08661

Step-by-step explanation:

The solution for x of the given equation ax + b = 0 is x = -b/a.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given equation,

ax + b = 0

Add -b both side

ax + b - b = 0 - b

ax = -b

Divide by both side

ax/a = -b/a

x = -b/a

Hence "The solution for x of the given equation ax + b = 0 is x = -b/a".

For more about the equation,

brainly.com/question/10413253

#SPJ1

Step-by-step explanation:

Absolute value equation:

[tex] |x - 120| = 920[/tex]

least no of runners = 800 - ( 920 - 800) = 680

Answer:

The most obvious way the government is involved in the U.S. economy is providing public goods and services like education, military protection, national parks and federal highways.

Step-by-step explanation:

Answer: n + 3

Step-by-step explanation:

Solution

n+3

Evaluate

(n 2 +n−6)

(n−2)

​Remove the parentheses

n−2n 2 +n−6

​Factor the expression

n−2

(n+3)(n−2)

The x and y coordinates of Q are negative according to the transformation rule of a 90 degree counterclockwise rotation about the origin, which is (x, y)→  (-y, x).

C) Both x and y are negative.

When a function is transferred without undergoing any form or rotation changes, it has been "translated." A function may be translated both horizontally and vertically. Dilation, reflection, as well as rotation are additional "transformations" of a function that are feasible.

The following is the transformation formula for a 90° counterclockwise rotation about the origin:

(x, y) →  (-y, x)

the triangle is then reflected across the x-axis,

the following transformation rule:

(x, y) → (x, -y)

So, we have:

(x, y) → (-y, -x)

From the graph, we have:

Q = (1,2)

So,

the coordinates of Q" are

Q" = (-2, -1)

Both the x and y coordinates of Q " are negative.

Therefore,

the correct answer is option:

C) Both x and y are negative.

To learn more about function transformation visit:

https://brainly.com/question/13810353

#SPJ13

I understand that the question you are looking for is:

Triangle PQR is rotated 90 degrees counterclockwise about the origin to form the image triangle P'Q'R' (not shown). Then triangle P'Q'R' is reflected across the x-axis to form triangle P"Q"R" (not shown). What are the signs of the coordinates (x, y) of Point Q"?

A) Both x and y are positive

B) x is negative and y is positive

C) Both x and y are negative

D) x is positive and y is negative

Some of the terms of an equation that has missing terms will be eliminated.

100 is the missing term that transforms (x² - 20) into a perfect square.

What is a  perfect square?

A perfect square is a number that can be written as the product of an integer multiplied by itself or as the integer's second exponent. For instance, the number 25, which is the product of the integer 5 multiplied by itself, is a perfect square because 5 x 5 = 25.

The missing term will be calculated in the next step.

Use k to represent the x-coefficient.

We thus have:

k = -20

Divide both sides by 2

k/2 = - 10

squaring both the sides,

(k/2)² = (- 10)²

=> (k/2)² = 100

This means that the term that is lacking is 100.

To learn more about perfect squares click on the link below:

https://brainly.com/question/23149584

#SPJ9

Question:

What is the missing constant term in the perfect square that starts with x^2 -20x?

The constant of proportionality in the given representation is 3 .

The proportionality constant is the ratio that connects two given numbers in a connection that is thought to be proportional. The proportionate constant is also known as constant ratio,  unit rate, variable of variation, and even rate of change.

The proportionality constant is calculated by a proportionality constant illustration.

Finding the proportionality constant begins with identifying the x and y elements. To figure out the weight to stick ratio, x will stand for size and Y for the number of butter sticks. We use the equations k = y/ x to calculate the proportionality constant.

Given the value of x is 4 and the value of y is 12

therefore using the equation we get

k= 12 / 4 = 3 .

Therefore the complete table will be

length (x)       (y)

4                     12

50                  150

88.49             265.47

Hence the proportionality constant is 3 .

To learn more about proportionality visit:

https://brainly.com/question/28389752

#SPJ9

Answer:

[tex]x -4 \leq -1\\x -4 + 4 \leq -1 + 4\\x\leq -1 +4\\x\leq +3[/tex]

Answer:

x ≤ 3

Step-by-step explanation:

This is the answer because I say it is

Answer:

588 cm

Step-by-step explanation:

Given:

Taking the first equation:

Taking the second equation:

If 4m=5n,

If 4m=-5n,

Range of n in terms of p:

The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83.

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount but after 1 year it will convert into $550.

As per the given,

Principle amount P = $4080

Rate of interest r = 5.7% = 0.057

Time period t = 4 years.

The formula for total value is given as,

V = P[tex]e^{rt}[/tex]

V = 4080[tex]e^{(0.057\times4)}[/tex]

V = $5124.83

Hence "The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83".

For more information about compound interest,

brainly.com/question/26457073

#SPJ1

The given question is incomplete complete question follows;

The monomial in standard form will be written as 5y³x².

A Monomial may be defined as a type of polynomial which contains only one term. For example, 3x², 5x and 6x are called monomials. When written in standard form it is the product of one or more factors which can be a constant coefficient and one factor for each variable in the expression. While writing in standard form the terms having the highest power is written first and then the succeeding powers are written. Here, the expression given is 5x²y³ which is not in standard form. The terms having highest power is y³ so it should be written before the term x² as 5y³x² which will be the required standard form.

Learn more about Standard form at:

brainly.com/question/14309783

#SPJ1

The value of CX as asked will be √29 when two points are given as (6,-4) and (1,-2) by using the distance formula √((x2-x1)²+(y2-y1)²).

In geometry, a point is a place. It is completely empty, meaning it has no width, length, or depth. A dot indicates a point. A line is described as a collection of points that extends in both directions indefinitely. It has a single length dimension.

Distance is a measurement of how far apart two objects 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.

Here,

distance formula =√((x2-x1)²+(y2-y1)²)

CX=√((x2-x1)²+(y2-y1)²)

=√((1-6)²+(-2+4)²)

=√(25+4)

=√29

When two points are given as (6,-4) and (1,-2) by the distance formula √((x2-x1)²+(y2-y1)²), the value of CX as asked will be 29.

To know more about Distance,

https://brainly.com/question/15172156?referrer=searchResults

#SPJ13

Answer:

11/8 or 1.375

Step-by-step explanation:

2 3/4 => 11/4

1/2 x 11/4 = 11/8

The interpretations are

The slope

From the question, the slope is given as

Slope = 2 1/4

From the question, we have

y = Amount of money

x =Number of hot dogs

This means that the amount of money per 1 hot dog is $ 2 1/4

The y​-intercept

From the question, the y​-intercept is given as

y​-intercept = 10

From the question, we have

y = Amount of money

x =Number of hot dogs

This means that the initial amount of money is $10

Read more about slope and y​-intercept at

https://brainly.com/question/1884491

#SPJ1

Answer:

-x+6

Step-by-step explanation:

the slope is negative because the line is moving down. the y intercept is positive 6 because the line goes through the line (0,6)

Answer:

(10, 1) is a solution to this equation.

Answer: your answer will be (10, 1)

Step-by-step explanation:

i just watch a mathematics video

Given the equation of a line as shown below :

To determine the slope and the y - intercept of the line, compare the equation with straight line equation

After comparing the equation of a line

Therefore slope = -3 and y - intercept = -2

Question 9.

In the construction of a frequency distribution, it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40.

Let's determine if the above statement is true or false.

A frequency distribution shows a representation of the num ber of observations within a given interval either in tabular or grahical format.

In the construction of a frequency distribution, the class limits should be made very clear in order for each observation to fall into only one class.

It is not a good idea to have ovelaping class limits like 20-30, 30-40. This is because overlaping limits such as this would make it dificult to determine the class where 30 is located.

Therefore, this statement ''it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40'' is TRUE.

ANSWER:

True.

The quadratic function has an equation of f(x) = -2x² - 4x - 3

From the question, the ordered pairs are given as

(−1,−1), (2,−19), and (3,−33).

A quadratic function is represented as

f(x) = ax²+ bx + c

Using the point (-1, -1), we have

a(-1)²+ b(-1) + c = -1

So, we have

a - b + c = -1

Using the point (2, -19), we have

a(2)²+ b(2) + c = -19

So, we have

4a + 2b + c = -19

Using the point (3, -33), we have

a(3)²+ b(3) + c = -33

So, we have

9a + 3b + c = -33

So, we have

a - b + c = -1

4a + 2b + c = -19

9a + 3b + c = -33

Using a graphing tool, we have

a = -2, b = -4 and c = -3

Substitute a = -2, b = -4 and c = -3 in f(x) = ax²+ bx + c

So, we have

f(x) = -2x² - 4x - 3

Hence, the equation is f(x) = -2x² - 4x - 3

Read more about quadratic function at

https://brainly.com/question/1214333

#SPJ1

Answer:

x = 20°

I hope it helps!

Step-by-step explanation:

80+a=180

a=100

a=2x+3x

100=5x

x=20

Answer:the same as sid length

Step-by-step explanation:all sides are the same

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are utilised. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.

A symbol (typically a letter) used in algebra to represent an unknowable numerical value in an equation. X and Y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s are examples of frequently used variables (arc length).

The price to produce x yearbooks will be 15x.

Additionally, software has a fixed cost of $800.

So the total price would be:

y = 800 + 15x

To learn more about Variables refer to:

https://brainly.com/question/25223322

#SPJ13

The formula predicts that the triangle's perimeter will be 12f+9g+3.

What is a triangle?

The sides of a triangle are (10f +6) centimetres, (2f-4) centimetres, and (9g+1) centimetres long, respectively.

The expression for the triangle's perimeter will be

P = (10f+6) + (2f- 4) + (9g+1)

P = 12f+9g+3

The formula predicts that the triangle's perimeter will be 12f+9g+3.

To learn more about triangles visit:

https://brainly.com/question/17335144

#SPJ1

Answer:

343.75

Step-by-step explanation:

dividing the number of miles by the number days to get fewest equal number miles per each day