distance is a direct variation of time if the distance

Answer:

False

Explanation:

A biconditional statement is true if both conditionals are true.

• The statement: Two angles are congruent if they are vertical angles is ,True,.

• The Statement: Two angles are congruent only if they are vertical angles is ,False,.

Therefore, the biconditional statement is false.

Given:

The equation is given as,

The objective is to complete the missing terms.

Explanation:

In the first step, dividing both sides by 3,

In the next step, subtract 1 from both sides.

Hence, the result of first box is 1 and the second box is 0.

we have G(9, 7) , H(10, -7)

The formula to calculate the midpoint between two points is equal to

substitute the given coordinates

We have here that all of these angles must sum 360 degrees since we have here a circle. Then, we have that:

Now, to solve this equation, we need to group and sum the like terms:

To isolate 11x, we need now to subtract 151 to both sides of the equation:

Divide both sides of the equation by 11:

We can check this solution if we substitute the value x = 19 in the original equation (after the simplification process):

Since the last result is TRUE, then the value for x = 19 is the correct solution.

In summary, the value for x = 19.

Given:

Required:

To find the next term in the given sequence.

Explanation:

Clearly the given sequence is in arithmetic.

Therefore,

Here,

Final Answer:

The next term in the sequence is 4 1/4.

From the basic knowledge of pythagoras thorem,

EH

X ^2 = 40^2 + 9^2 = 1`600 + 81 = 1681

X = square root of 1681

= ET = EH = X = 41 feet

NI

y ^ 2 = 9 ^2 + 9^2 = 81 + 81 = 162

y = square root of 162

NI = T I = y = 12.72 feet

The perimeter of the Kite = EN + ET + NI + TI = 41 + 41 + 12. 72 + 12. 72 = 107.44 feet

Given

the life expectancy of a circulating coin is 30 years

the life expectancy of a circulating dollar bill is only 1/20 as long.

Procedure

c=life expectancy of a circulating coin

p= life expectancy of circulating paper money

The answer is: life expectancy of a dollar bill = 1.5 years

To find the functions we need to remember that

Then

Therefore

Similarly

therefore

To solve for x you can first divide by 12 into both sides of the equation, like this

Now, you can add 2.3 from both sides of the equation

Therefore, the value of x that satisfies the equation is

Finally, to check that this value satisfies the given equation, just plug x = 3.6 into the equation and see that a true proposition is reached. So, you have

So we have the equation:

Where x represents the hours passed after 5 am and y represents the temperature in degrees Fahrenheit. We are being asked about the temperature at 9 am so we need to express 9 am in terms of hours passed after 5 am. Since there's a difference of 4 hours between this two times then we must use x=4 and the result of substituting x by 4 in the former equation will give us the temperature we are looking for:

So the temperature in october at 9 am is 70.98°F so the best approximation would be option C, 71°F.

The inequality to solve is:

We can take the numbers to one side and variables to one and solve for x. Shown below:

This is the solution

Note: the open circle in '6' means the number six isn't included.

The equations are given

To determine the coordinates of x and y by elimination method.

Divide equation 2 by 2.

Now subtract equation 1 by 3,

Substitute the value of x in the equation 1.

The correct option is A.

To create the ordered pairs you need to pic any value of x and look what the corresponding value fo y is.

For the point where both linear dunctions cross each other the value in the x-axis is x= 2 and the value in the y-axis is y=7

Parallelogram---->a quadrilateral with two pairs of parallel sides

Square----> a quadrilateral with four right angles and four congruent sides ​

Rectangle----> a quadrilateral with four right angles

Trapezoid----> . a quadrilateral with one set of parallel sides

Rhombus-----> a quadrilateral with four congruent sides

Answer: here

Step-by-step explanation:

yw

When a system of equations has infinite solutions, you'll end up with a statements that's true no matter what. For example, 6=6. Or when the graphs of the equations are the same exact line.

Then:

3x+4y=12 and

6x+8y=24 divided by 2: 3x+4y=12. That means they are the same exact line, so it has infinite solutions.

The answer would be the first one and the third one.

The Solution:

Required:

To prove that opposite sides are congruent in a parallelogram.

Step 1:

Draw a parallelogram.

Step 2:

Step 3:

Step 4:

Step 5:

Step 6:

We can simplify the given expression:

((a⁵*a)/(a⁻³) )⁻¹

To get:

a⁻⁹

There are some properties we need to use:

Our expression is:

((a⁵*a)/(a⁻³) )⁻¹

First we can simplify the numerator:

a⁵*a = a⁵⁺¹ = a⁶

((a⁶)/(a⁻³) )⁻¹

Using the third property we can also rewrite the denominator:

(1/a⁻³) = a³

Replacing that we get:

((a⁶)/(a⁻³) )⁻¹ = ((a⁶)*a³ )⁻¹ = (a⁶⁺³)⁻¹ = a⁻⁹

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Answer:

Explanation:

Average test score is expressed using the formula;

Average = Sum of the grades/Total number of test

Let x be the grade of the fourth test.

If Erika needs a test average of 85 or higher to make the honor roll, this can be expressed as;

Cross multiply

Subtract 246 from both sides

Hence the inequality that could be used to find what she needs to score on her fourth test, in order to make the honor roll is

Angela has 12 quartz of milk

Note:

1 gallon = 4 quartz

3 gallons of milk = (3 x 4) quartz

3 gallons of milk = 12 quartz of milk

Therefore, Angela has 12 quarz of milk

1. Domain, x ∈ [-9 , 8]

2. Range,   y ∈ [-10 , 10]

3. f(x) is not an increasing function, its a decreasing function.

4. f(x) is decreasing for interval,  x ∈ [-9,2] ∪ [7,8]

5. f(x) is constant function for the interval,   x ∈ [2,7]

Domain:- The value of x for which function f(x) is defined

Range : the value of y or f(x)

Increasing function: while increasing the value of x,  f(x)  is increasing and vice versa, called increasing function.

Decreasing function:  while increasing the value of x,  f(x)  is decreasing and vice versa, called increasing function.                              

From graph,

                     It seems very clear that,

1. Domain :-

                      x ∈ [-9 , 8]

                                       or      -9 ≤ x ≤ 8

2. Range :-

                       y ∈ [-10 , 10]

                                             or  -10 ≤ x ≤ 10

3. Interval for which f(x) is increasing :-

                       f(x) is not an increasing function, its a decreasing function.

4. Interval for which f(x) is decreasing:-

                       f(x) is decreasing for interval,

                                 x ∈ [-9,2] ∪ [7,8]

5. Interval for which f(x) is constant function

                      f(x) is constant function for the interval,

                                     x ∈ [2,7]

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if we count the paths we have:

1. A to B the top part

2. Ato B the bottom part

3. we look after that A first top arrow, down one arrow and a straight line

and so on

i counted 12 different ways

1200

y represents the estimated population

t represents the number of years.

The equation that predicts the population after t years is given as:

Substitute t = 3/2 into the equation

The closest valuie to the value of y is 1200

We have to solve the following system of equations:

We have to graph the equations and, as they are written in standard form, we are going to calculate the intercepts for both.

We will write the equations in slope-intercept form.

For the first equation we have:

For the second equation we have:

Both slopes are different, what means that the lines are not parallel and will intersect, so we already know that the system is independent.

Using the slopes and the y-intercepts, we can graph the equations as:

The solution to the system is the intersection point which is (2,0).

Answer:

The system is independent and its solution is (x,y) = (2,0)

Using quadratic formula:

We are given the following polynomials:

Now, we subtract the second polynomial from the first:

Now, apply the distributive property on the parenthesis. To do that we change the sign of each of the terms inside:

Now, we associate like terms.:

Now, we solve the operations of the like terms:

Since we can't simplify any further this is the final answer.

The constant term in the given expression is 10.

The given polynomial is x²+15x+24y+10.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

Constants are considered as algebraic expressions which only involve numbers.

In the given algebraic expression x²+15x+24y+10, the constant term is 10.

Hence, the constant term in the given expression is 10.

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Step 1: Let's recall that Supplementary angles are two angles with a sum of 180∘

Step 2: Let's write the equation to solve the problem.

• Let x to represent the smaller angle,

• Let 5x to represent the bigger angle

Therefore, we have:

x + 5x = 180

6x = 180

Dividing by 6 at both sides:

6x/6 = 180/6

• x = You can calculate the value of x dividing 180 by 6 and that is the measure of the smaller angle.

• 5x = You multiply the value of x by 5 and that's the measure of the bigger angle.

Don't forget that the sum of both angles should be 180.

Given

triangles

Find

List every way possible to prove that two triangles are congruent

Explanation

1) SSS congruence (Side - side - side)

when all corresponding sides of the two triangles are equal.

then ,

b) SAS congruence (Side - Angle - Side)

when two sides and one angle are equal.

then ,

c) ASA congruence (Angle - side - angle)

when two angles and one side are equal

d) RHS (right - hypotenuse - side)

in two right triangles when hypotenuse and one side are equal.

then ,

Final Answer

Hence , there are four possible ways to prove the triangles are congruent.