What else would need to be congruent to show that ABC DEF by SAS? E AA. А B OA. BC = EF B. CF OC. ZA ZD D. AC = OF F Given: AC = DF CE F​

The required steps are

2x^2 + 12x – 3 = 0.

2x2 + 12x  = 3

2(x^2+6x) = 3

2[(x+3)^2 - 9] = 3

Quadratic equations are equations that has a leading degree of 2

Given the equation below;

2x^2 + 12x – 3 = 0.

Add 3 to both sides

2x2 + 12x  = 3

Factor out 2

2(x^2+6x) = 3

Complete the square

2(x^2+6x+3^2-3^2) = 3

2[(x+3)^2 - 9] = 3

This gives the required steps to solve the equation

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If Ama and her son Brandon's average age is currently 36 years. then

Brandon's age is 38 years.

Two or more expressions with an equal sign is called as Equation.

Let the Brandon age be x

Ama was 34 years old

Ama and her son Brandon's average age is currently 36 years

(34 + x)/2= 36

Use cross multiplication

34 + x = 72

x=72-34

x = 38

So  Brandon's average age is 38.

Hence Brandon is 38 years old.

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The missing reasons for each of the given statements are respectively;

1) Substitution

2) Definition of a Straight angle because a straight angle is 180°.

3) Congruent Angles have equal measures

We are given that;

m∠1 = 90°

m∠1 + m∠2 = m∠5

∠3 ≅ ∠4

Statement 1; 90° + m∠2 + m∠4 = 180°

Reason 1; Substitution

Statement 2; m∠1 + m∠2 + m∠3 = 180°

Reason 2; Definition of a Straight angle because a straight angle is 180°.

Statement 3; m∠3 = m∠4

Reason 3; Congruent Angles have equal measures

Thus, the missing reasons for each of the given statements are respectively;

1) Substitution

2) Definition of a Straight angle because a straight angle is 180°.

3) Congruent Angles have equal measures

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Question 14

Part (a)

[tex]\frac{46800-41400}{4700} \approx \boxed{1.15}[/tex]

Part (b)

[tex]-2.57=\frac{x-41400}{4700} \\ \\ -2.57(4700)=x-41400 \\ \\ x=41400-2.57(4700) \\ \\ x \approx \boxed{29300}[/tex]

The Pythagorean theorem states that:

[tex]a^2+b^2=c^2[/tex]

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Let a represent the length of one leg.

Because the hypotenuse is 14 cm longer than a leg, we can say that the hypotenuse's length is 14 + a.

Plug these into the Pythagorean theorem:

[tex]a^2+b^2=c^2\\a^2+a^2=(14+a)^2\\2a^2=14^2+2(14)a+a^2\\2a^2=196+28a+a^2\\a^2=196+28a\\a^2-196-28a=0\\a^2-28a-196=0[/tex]

Factor using the quadratic formula:

[tex]a=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]a=\dfrac{-(-28)\pm \sqrt{(-28)^2-4(1)(-196)}}{2(1)}\\\\a=14\pm14\sqrt{2}\\\\a=14+14\sqrt{2}[/tex]

We know that it's plus because subtracting results in a negative value, and length cannot be negative.

This is the length of each side.

Because the hypotenuse is 14 cm longer, we can say that the hypotenuse is [tex]28+14\sqrt{2}[/tex].

Leg length = [tex]14+14\sqrt{2}[/tex]

Hypotenuse length = [tex]28+14\sqrt{2}[/tex]

Answer:

59

Step-by-step explanation:

Suppose, The number of seats in each row = z

Number of rows = number of seats in each row 7 z

So, the total plants = z×z=z^2

As per question,

z^2=3481

z=59

So the seats in each row = 59.

The intervals which the original function f(x) concave down are (-5, -2) and (3, 5)

The information that completes the question are added as an attachment

The question requires that we determine the intervals which the original function f(x) concave down

From the attached graph, we have the following turning points

(-2, -4) and (3, 2)

From the domain of the graph, the curve starts at (-5, 0), turns at (-2, -4), also turns at (3, 2) and then stops at (5, 0)

So, we have:

(-5, 0), (-2, -4), (3, 2) and (5, 0)

Remove the y coordinates

x = -5, -2, 3 and 5

Express as intervals

(-5, -2) and (3, 5)

Hence, the intervals which the original function f(x) concave down are (-5, -2) and (3, 5)

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Answer:

x=a-d/c+b

Step-by-step explanation:

a-bx =cx+d

collect like terms

a-d=cx+bx

a-d=x(c+b)

x=a-d/c+b

Answer:

98-54+12-36

110-54-36

56-36

20Ans

Step-by-step explanation:

x+x+10+50=180

2x+60=180

2x=180-60

2x=120

x=120/2

x=60

Using it's concept, the probability that the first coin is a nickel and the second coin is a quarter is: 2/39.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Hence:

Then the probability for both coins is:

p = 4/13 x 1/6 = 4/78 = 2/39

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Answer:

3.42857143

Step-by-step explanation:

You multiply 4/7 by 6 to isolate the variable

Answer:

3 3/7 or 24/7

As a decimal: 3.42857143

Step-by-step explanation:

Rewrite the proportion:

4/7 = x/6

Multiply both sides by 6 to isolate x:

(4/7) * 6 = x

Multiply 4 and 6, 7 is multiplied by 1 since 6 = 6/1:

x = 24/7

Rewrite as mixed number:

7 * 3 = 21

24 - 21 = 3

x = 3 3/7

Brainliest, please :) (Hoping to become a genius)

The solutions to the equation 1 / (x - 1) + 2/x = x / (x - 1) are two solution which are x = 2; and x = 1

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Given the equation:

1 / (x - 1) + 2/x = x / (x - 1)

Multiplying through the equation by x(x - 1):

x + 2(x - 1) = x(x)

x² - 3x + 2 = 0

x² - 2x - x + 2 = 0

(x - 2)(x - 1) = 0

x = 2; and x = 1

The solutions to the equation 1 / (x - 1) + 2/x = x / (x - 1) are two solution which are x = 2; and x = 1

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For the given coordinates of A, B, C, and D as (-8, 1), (-2, 4), (-3,-1), and (-6, 5), respectively, OD, AB and CD are intersecting lines but are not perpendicular (third option) is the correct assertion.

Reasons for the Choice

Therefore, the lines OD, AB, and CD are intersecting lines but are not perpendicular.

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Answer:

1436.76

Step-by-step explanation:

Answer:

538.57 m³

Step-by-step explanation:

The formula to find the volume of a sphere is:

V = 4 π r³

Given that,

diameter ⇒ 7 m

∴ radius = d / 2

  radius ( r ) = 7 / 2 = 3.5 m

Let us find the volume now.

V = 4 π r³

V = 4 π × ( 3.5 )³

V = 4 π × ( 3.5 )³

V = 4 π × 42.875

V = 4 π × 42.88

V = 12.56 ×  42.88

V = 538.57 m³

[tex]\bold{Answer:} \small\boxed{21e-42}[/tex]

Step-by-step explanation:

 [tex]To\ solve\ : \ 9e-6(-2e+7)[/tex]

we first must use the distributive property. You can think about solving this like this:

[tex]=9e-(6)(-2e+7)[/tex]

Notice how we are not distributing -6, but only 6. Now we can solve normally:

[tex]=9e-(-12e+42)[/tex]

Now we distribute the '-' sign to the terms in parenthesis.

[tex]=9e+12e-42[/tex]

[tex]\longrightarrow \large\boxed{21e-42}[/tex]

The decimal form is 15.08 rounded.

Answer:

50/20

Step-by-step explanation:

Rate of money raised raises per jump is  

                          money raised / jumps

                                       $50/ 20 jumps

We can think that if we divide the $50 into 20 equal parts,

each part will represent 1 jump and will have 50/20 = $2.5  per 1 jump.

Answer:

=====================================

We know that diagonals of rhombus are perpendicular to each other.

Hence its area is half the product of diagonals.

The diagonals are JL and KM and one of them is vertical and the other one horizontal since x- or y-coordinates are equal in pairs.

Let's find the length of diagonals, using the difference of coordinates:

Now find the area:

Answer:

268.08

Step-by-step explanation:

Answer:

803.84 m³

Step-by-step explanation:

The formula to find the volume of a sphere is:

V = 4 π r³

Given that,

radius ⇒ 4m

Let us find the volume now.

V = 4 π r³

V = 4 π × ( 4 )³

V = 4 π × 64

V = 4 π × 64

V = 12.56 × 64

V = 803.84 m³

Answer:  y = -3x-3 (Choose values for x)

Step-by-step explanation:

1st change the equation to y = mx+b form

In order to change the equation to y = mx+b form subtract the 3x to both sides.
The equation now becomes y = -3x-3

2nd we can either choose values for x such has (-2,-1,0,1,2) and plug in those values into our equation y = -3x-3
For example, if we plug in x= -2 we get y= -3(-2)-3 which becomes y =3. We then plot the point (-2,3) because -2 is our x coordinate and 3 is our y coordinate.
Or we can plug the equation into a calculator that will graph the equation for you.

The complete statements are:

Part of a scatter plot

The parts of a scatter plot are

This means that the Key is not part of a scatter plot

The scale on the axes

Here, the scale is determined by the number of data points that exists on the scatter plot

This means that scatter plots that have 10 and 100 data points might not be represented on the same scale

The line of best fit

This is determined by drawing a line through the data points on the scatter plot.

The line is know as the line of best fit

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The given statement that, decimal, fraction, and percent can all represent the same values is True.

Verification of the True Statement:

The ratio of two numbers results in a fraction which are often rational numbers (often integers). As an illustration, 11/59 is a fraction. Typically, absolute values for fractions should be larger than 0 and less than 1. A mixed fraction equivalent to 1 3/4 is 7/4.

A fraction stated in tenths are known as a decimal (or tenths of tenths, etc.). The decimal equivalent of one fourth, or 1/4 as a fraction, is 0.25 (which equals 25/100). (Remember that 1/100 is just a tenth of a tenth.)

Percentage (percent) is a decimal fraction multiplied by 100. Therefore, 0.25 is equivalent to 25 percent, for instance. The ratio of two numbers results in fractions, which are often rational numbers (often integers).

Let us take a number 3/5, this is a fraction.

Now, if we further divide, 3 by 5, we will get 0.6

This 0.6 is a decimal number, but it still represents the number 3/5

Similarly, it is equivalent to 60 percent which again represent the fraction 3/5 or decimal 0.6.

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Using the future value formula, it is found that you would need to deposit $272.95 in the account each month.

It is given by:

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

In which:

For this problem, considering that there are monthly compoundings, the parameters are:

r = 0.08/12 = 0.0067, V(n) = 300000, n = 25 x 12 = 300.

Hence we solve for P to find the monthly payment.

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

[tex]300000 = P\left[\frac{(1.0067)^{299}}{0.0067}\right][/tex]

1099.12P = 300000

P  = 300000/1099.12

P = $272.95.

You would need to deposit $272.95 in the account each month.

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Answer: 148 degrees

Step-by-step explanation:

The total measure of all exterior angles of a convex pentagon is 360 degrees.

If four of them equal 53 degrees then all those together is 212 degrees

53 times 4 = 212

Then you would just subtract 212 from 360 to see the measure of the last exterior angle. Which is 148 degrees!

Hope this helps :)

The number of tiles used is 300 tiles.

According to the statement

We have given that:

The tiles are 20 cm by 30 cm. And the dark room floor is 6 meters by 3 meters.

And we have to find that the number of tiles used to prepare the dark room.

So, For this purpose we have to find the area of the room floor.

The area of the floor is 6 *3.

The area of the floor is 18 meter per square.

The area of the tile is 0.2*0.3

The area of the tile is 0.06 meter per square.

Now,

The number of tiles used is 18/0.06

The number of tiles used is 300.

So, The number of tiles used is 300 tiles.

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Based on the total number of people who want the steakhouse option, the probability that a student will not want the seafoodbuffet if they want the steakhouse option is 24%

The probability that a student does not want the seafood buffet given that they want the steakhouse option is:

= Number of people who want steakhouse but not seafood / Total surveyed

Solving gives:

= 9 / (16 + 8 + 9 + 4)

= 9 / 37

= 24%

Full question is:

If a student wants the steakhouse option, what is the probability that they will not want the seafoodbuffet?

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Answer:

100m

Step-by-step explanation:

How much are 10000 centimeters in meters?

10000 centimeters equal 100.0 meters (10000cm = 100.0m). Converting 10000 cm to m is easy. Simply use our calculator above, or apply the formula to change the length 10000 cm to m.

Answer:

100m

Because- 1m=100cm

10m=1000cm

100m=10,000cm

Check the attached file.

Answer:

4x + 3 just take away rhe values

The expression that has a coefficient of 10 and constant of 5 is 10x + 5.

An equation is an expression that shows the relationship between two or more variables and numbers.

A coefficient is a number or any symbol representing a constant value that is multiplied by a variable. A constant is a value or number that never changes in expression.

The expression that has a coefficient of 10 and constant of 5 is 10x + 5.

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