does anyone know the bottom answer please

Does Anyone Know The Bottom Answer Please

Answers

Answer 1

Answer:

6000000 divided by 10 = 600000

Step-by-step explanation:

Your answer should make sense


Related Questions

part of a line consisting of two endpoints and all the points in between

Answers

Answer:

line segment

Step-by-step explanation:

the answer is above

graph abc with vertices a(-2,1) b(0,3) c (1,1)?


Please help

graph abc with vertices a(-2,1) b(0,3) c (1,1)?Please help

Answers

Answer:

ok don't worry graphing is super easy.

remember this right is always positive and up is always positive. Left is always negative and down is always negative.

Therefore, point a = left 2 spaces up 1

b = stay right in the middle and move 3 up on the line

c = 1 right, 1 up

Have a great day! :)

pls mark brainliest

Answer:

*View attached graph for a visualization*

Step-by-step explanation:

Rule: (x, y) → (x + 3, y - 2)

A(-2, 1) → A'(-2 + 3, 1 - 2) → A'(1, -1)

B(0,3) → B'(0 + 3 - 2) → B'(3,1)

C(1,1) → C'(1 + 3, 1 - 2) → C'(4, -1)

PS: Vertice A is written incorrectly. It should have been A(-2, 1) like they stated in the beginning.

Hope this helps!

graph abc with vertices a(-2,1) b(0,3) c (1,1)?Please help

please please please answer!! will give brainliest and extra points!

please please please answer!! will give brainliest and extra points!

Answers

Answer:

a) y = x

b) y = 10

c) x = 3

Step-by-step explanation:

a) the line passes through the points (-5, -5) and (1, 1).

Step 1. Identify the slope

M = slope

M = change in y/change in x

Two points: (-5, -5) & (1, 1)

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

where y2 = 1 y1 = -5 x2 = 1 & x1 = -5

M = (1 - -5)/(1 - -5)

Note: Two negative signs together makes addition!

M = 6/6

M = 1

Step 2. Find the y-intercept

The slope is 1 but then we need a y-intercept. To do this we have to take a look when the first y-intercept happened.

Answer: y-intercept undefined so therefore our final answer is y = x
••••••••••••••••••••••••••••••••••••••••••••••••••
b) the line that passes through (-2, 10) and (3, 10).

If we would’ve graphed this, we can see that they’re in line with the y-axis so there wouldn’t be any slope.

Step 1. Find the slope.

M = slope

M = change in y/change in x

Two points: (-2, 10) & (3, 10)

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

M = (10 - 10)/(3 - -2)

M = 0/5

M = 0

Therefore the slope is 0

Step 2. Find the y-intercept

And the y-intercept is 10 obviously so now our answer would be y = 10
•••••••••••••••••••••••••••••••••••••••••••••••••••
c) the line parallel to the y-axis that passes through the point (3, -7)

Equation of line parallel to y-axis is x = k

(3, -7) lies on our required line

-> k = 3

The equation of the required line is x = 3
••••••••••••••••••••••••••••••••••••••••••••••••••
d) & e)

I don’t know the answer to the rest I’m sorry but at least appreciate these 3 answers that I’m giving you

Have a good day!

-Unluckydoom

Will give big points

Will give big points

Answers

Answer: 6 and 7

Step-by-step explanation: The square root of 41 is 6.4. Since you multiply it by itself, it’s the nearest square root to 41.

The probability that two cards are selected at random from a deck of cards containing
a face card and diamond without replacement.

Answers

6/2652 could possibly be the answer?

I have a three in the ones place. I am greater than 14 but less than 31.

What number am I?

Answers

Answer:

Youre the number 23

Answer:

23

Step-by-step explanation:

Ill mark as brainiest :)

Ill mark as brainiest :)

Answers

Answer:

1 ruler costs $0.60

Step-by-step explanation:

$20-$4.70=$15.30

Calculator =$7.50

3 Packs of Pens = $1.80 each

4 rulers= x each

$7.50 + 3($1.80) + 4x = $15.30

7.50 + 5.40 + 4x = 15.30

12.90 + 4x = 15.30

4x = 2.40

x = 0.60

(1 point) Determine whether each first-order differential equation is separable, linear, both, or neither.

1. dy/dx + exy = x2y2

2. y+ ex *sinx = x3 y'

3. ln x - x2y = xy'

4. dy/dx + cos y = tan x

Expert

Answers

Out of the given differential equations, only equation 3 is separable, and equation 4 is linear. The rest are nonlinear and neither separable nor linear.

The first-order differential equation dy/dx + exy = x2y2 is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term x2y2 in the equation makes it nonlinear, and the term exy makes it non-separable.

The differential equation y + ex * sin(x) = x3y' is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term ex * sin(x) and the term y' (derivative of y) make it nonlinear, and the term y makes it non-separable.

The differential equation ln(x) - x2y = xy' is separable but not linear. The terms ln(x) and x2y make it nonlinear, but it can be separated into two parts, one containing x and y and the other containing x and y'. Therefore, it is separable.

The differential equation dy/dx + cos(y) = tan(x) is linear but not separable. The terms cos(y) and tan(x) make it nonlinear, but it can be written in the form dy/dx + P(x)y = Q(x), where P(x) = cos(y) and Q(x) = tan(x). Therefore, it is a linear differential equation.

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The rule for a relation is y= (x+1) ^2. The domain is ( -2, -1,0,1,2,3). Is the relation a function?

Answers

No, this rule for a relation is not a function because the input variable (domain) are not uniquely mapped to an output variable (range).

What is a function?

In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range).

When x = -2, the range (output) of this function is given by:

y = (x + 1)²

y = (-2 + 1)²

y = (-1)²

y = 1.

When x = -1, the range (output) of this function is given by:

y = (x + 1)²

y = (-1 + 1)²

y = (0)²

y = 0.

When x = 0, the range (output) of this function is given by:

y = (x + 1)²

y = (0 + 1)²

y = (1)²

y = 1.

Based on the integers shown above, we can reasonably infer and logically deduce that this rule for a relation does not represent a function because the value of "1" is mapped to more than one domain element i.e -2 and 0.

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Quadratic function h can be used to model the height
in feet of a rocket from the ground t seconds after it
was launched. The graph of the function is shown.
What is the maximum value of the graph of the
function?

Quadratic function h can be used to model the heightin feet of a rocket from the ground t seconds after

Answers

The maximum height reached by the rocket is 52.5 feet.

What is a quadratic equation?

A quadratic equation is a second-degree polynomial equation of the form ax²+ bx + c = 0 where a, b, and c are constants, and x is the variable.

Since h(t) is a quadratic function, it can be written in the form:

h(t) = at² + bt + c

where a, b, and c are constants to be determined. We can use the given information to set up a system of equations:

h(0) = 0 → c = 0

h(2) = 65 → 4a + 2b = 65

h(4) = 0 → 16a + 4b = 0

Solving this system of equations, we get:

a = -8.125

b = 32.5

Therefore, the quadratic function that models the height of the rocket from the ground at time t is:

h(t) = -8.125t² + 32.5t

To find the maximum value of the graph of this function, we can use the formula:

t = -b/2a

In this case, substituting the values of a and b, we get:

t = -32.5/(2*(-8.125)) = 2

Therefore, the maximum value of the graph of the function occurs at t = 2 seconds. To find the maximum height, we can substitute t = 2 into the function:

h(2) = -8.125(2)² + 32.5(2) = 52.5

So, the maximum height reached by the rocket is 52.5 feet.

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what are the multiples of 7 between 40 and 90

Answers

Answer: 42,49,56,63,70,77,84

Answer:

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160

Step-by-step explanation:

minimal sedation is defined as which of the following? group of answer choices less than 50% n2o in the second stage in the continuum more than 50% n2o in the second stage in the continuum less than 50% n2o in the first stage in the continuum more than 50% n2o in the first stage in the continuum

Answers

Minimal sedation is characterized by c) less than 50% N2O in the first stage of the continuum.

Minimal sedation is defined as a state in which the patient is able to respond normally to verbal commands, breathe on their own and maintain stable blood pressure and heart rate. It is achieved by administering a small dose of a sedative or anxiolytic medication.

Minimal sedation is a light form of sedation that allows the patient to remain conscious and responsive throughout the procedure, and it helps the patient to relax and reduce anxiety.

It is considered a safer option than deeper forms of sedation as the patient remains able to breathe on their own, which reduces the risk of complications. This level of sedation is often used in procedures such as dental work, minor skin procedures, and diagnostic tests.

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what is more precise kilograms or grams.

Answers

Answer:

grams

Step-by-step explanation:

Answer:

Kilograms is more precise.

Step-by-step explanation:

I hope this helps.

What are the 2 theoretical quantities of ANOVA?

Answers

The two theoretical quantities of ANOVA (Analysis of Variance) are:
1. Between-group variance.

2. Within-group variance:

1. Between-group variance.

This is the variance that can be attributed to differences between the group means.

It is calculated by comparing the mean of each group to the overall mean of all the data points.

The larger the between-group variance, the more likely there are significant differences between the groups.
2. Within-group variance:

This is the variance that can be attributed to differences within each group, i.e., the individual differences among the data points in each group.

It is calculated by comparing the individual data points in each group to their respective group mean.

The smaller the within-group variance, the more likely the groups are homogeneous.
In ANOVA, these two quantities are compared using an F-ratio.

If the between-group variance is significantly larger than the within-group variance, it indicates that there are significant differences between the group means, and the null hypothesis can be rejected.

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If the sum of two numbers is
32 and their difference is 8
then what are the numbers?​

Answers

20 + 12 = 32

20 - 12 = 8

So the numbers are:
20 and 12

Answer:

12

Step-by-step explanation:

Hope it helps

James is 5 ft. tall and casts a 6.5 ft. shadow. At the same time, a palm tree casts a 26 ft. shadow. How tall is the palm tree?

Answers

Answer:  20 feet

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

Work Shown:

(height)/(shadow length) = (height)/(shadow length)

(5 ft)/(6.5 ft) = (x ft)/(26 ft)

5/(6.5) = x/26

5*26 = 6.5*x

130 = 6.5x

6.5x = 130

x = 130/(6.5)

x = 20

The palm tree is 20 feet tall, which is the same height as a 2 story building (assuming each floor is 10 ft).

Write the log equation as an exponential equation. You do not need to solve for x.
log 5 (5) = 3x

Answers

Answer:

\(5=5^{3x}\)

Step-by-step explanation:

\(log_5(5)=3x\\\\5=5^{3x}\)

Is the expression −9×(−9)−9 equivalent to [−9×(−9)]−9​? Explain.

Answers

Using BODMAS we can conclude, Yes, both will give same result.

The rule used to solve mathematical expressions is known as the BODMAS rule. The order of operations for mathematical formulas requiring several operations is known as BODMAS. B. Brackets, O. Order of powers, D. Division, M. Multiplication, A. Addition, and S. Subtraction make up the acronym.

−9×(−9)−9

⇒ - 9 × 81

⇒ -729

⇒ [−9×(−9)]−9​

⇒ [81] -9

⇒ -729

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Suppose that money demand is given by M d
=$Y(0.30−i) where $Y is $250 and i denotes the interest rate in decimal form. Also, suppose that the supply of money is $50. Calculate the equilibrium interest rate as a percent. The equilibrium interest rate is % (Round your response to two decimal places.) If the Federal Reserve wants to increase the interest rate by 10 percentage points (0.1 in decimal form) over and above the equilibrium interest rate determined above, at what level should it set the money supply? The money supply should be set at $. (Round your response to one decimal place.)

Answers

The equilibrium interest rate is 10%, and the money supply should be set at $25 to increase the interest rate by 10 percentage points

The equilibrium interest rate and the corresponding money supply can be calculated based on the given money demand and money supply functions.

1. Equilibrium Interest Rate:

To find the equilibrium interest rate, we need to set the money demand equal to the money supply and solve for i.

Md = Ms

$Y(0.30 - i) = $50

Substituting the given value of $Y = $250, we have:

$250(0.30 - i) = $50

Simplifying the equation, we get:

75 - 250i = 50

-250i = 50 - 75

-250i = -25

i = -25 / -250

i = 0.1

The equilibrium interest rate is 0.1, or 10% (as a percentage).

2. Money Supply to Increase Interest Rate by 10 Percentage Points:

If the Federal Reserve wants to increase the interest rate by 10 percentage points above the equilibrium rate, we need to calculate the corresponding money supply.

New Interest Rate = Equilibrium Interest Rate + Increase in Interest Rate

New Interest Rate = 0.1 + 0.1 = 0.2

To find the new money supply, we set the new interest rate in the money demand equation and solve for Ms.

Md = Ms

$Y(0.30 - i) = Ms

$250(0.30 - 0.2) = Ms

$250(0.10) = Ms

Ms = $25

Therefore, the money supply should be set at $25 to achieve an interest rate increase of 10 percentage points above the equilibrium interest rate.

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Due in 30 mins

Thank you:)

Due in 30 mins Thank you:)

Answers

Answer:

The third one as it's cubic

the 3rd one is the correct answer

find f. f ''() = sin() cos(), f(0) = 2, f '(0) = 4

Answers

The function f(x) is given by f(x) = - (1/8) sin(2x) + 4x + 2

To find the function f(x), we need to integrate f''(x) twice and apply the given initial conditions.

Given f''(x) = sin(x)cos(x), f(0) = 2, and f'(0) = 4.

1. Integrate f''(x) with respect to x to find f'(x):
f'(x)=∫(sin(x)cos(x) dx) = ∫(1/2) sin2(x) = -1/4cos2x + C₁

i.e., f'(x)= -1/4cos2x + C₁

Apply the initial condition f'(0) = 4:
f'(0)= -(1/4)cos2(0) + C₁ = 4
C₁ = 17/4

So, f'(x) = -1/4cos2x + 4

2. Integrate f'(x) with respect to x to find f(x):
f(x)= ∫(-1/4cos2x + 4) dx = -1/8 sin2x + 4x + C₂

f(x)= -1/8 sin2x + 4x + C₂

Apply the initial condition f(0) = 2:
f(x)= -(1/8) sin(2*0) + 4(0) + C₂ = 2
C₂ = 2

So, the function f(x) is given by:
f(x) = - (1/8)sin(2x) + 4x + 2

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Is FGH ~ JKL? If so, identify the similarity postulate or theorem that applies.

Is FGH ~ JKL? If so, identify the similarity postulate or theorem that applies.

Answers

Answer: D

Step-by-step explanation:

There are two pairs of congruent angles.

The two triangles FGH and  JKL are similar to each other by Angle-Angle property. Hence, option D is correct.

What is the similarity?

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

In the given figure we can see that the two triangles FGH and  JKL have two angles equal that is ∠f =∠J = 30° and ∠L = ∠H =55°. Two angles are similar then the triangles are similar.

Hence, option D is correct.

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A retailer buys a coat bulk at a uint price of $45 the coat is marked up 80% to sell in the store. What is the price of the coat in the store

Answers

The price of the coat in the store is $81 after a retailer buys a coat bulk at a unit price of $45 the coat is marked up 80% to sell in the store.

The retailer buys the coat at a unit price of $45 and marks it up by 80%. To calculate the markup, we need to first find 80% of $45, which is

0.8 x $45 = $36.

We can then add the markup to the cost price to get the selling price:

$45 + $36 = $81.

Therefore, the price of the coat in the store is $81.

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What is the slope of the line that passes through (2, 5) and (6, 7)?

Answers

The slope would be 0.5

PLS HELP IF CORRECT BRAINLIEST -3=-11=√2y

Answers

The equation -3=-11=√2y is not correct.

The equation should only have one equal sign, and it should be between two expressions that are equal to each other.

Please check if the equation you wrote is correct and if not, try to rewrite it with one equal sign.

A firm has beginning inventory of 290 units at a cost of $9 each. Production during the period was 610 units at $12 each. If sales were 330 units, what is the cost of goods sold (assume FIFO)?
Group of answer choices
$2,890
$3,290
$3,390
$3,090

Answers

The correct option is D. $3,090. However, since there is no value close to this answer, it appears that there may be an error or inconsistency in the given information or calculations.

The cost of goods sold can be calculated using the formula:

Cost of goods sold = Beginning inventory cost + Cost of goods purchased - Ending inventory cost

Given:

Cost of goods purchased = Cost of goods manufactured = $12 x 610 = $7,320

Units sold = 330 units

Units left in inventory = 290 + 610 - 330 = 570 units

According to the FIFO (First-In, First-Out) method of inventory valuation, the goods that are sold first are assumed to be the ones that were bought first. Therefore, the cost of goods sold would include the cost of the 290 units from the beginning inventory, the cost of 40 units from the production during the period at $9 each (assuming older goods are sold first), and the cost of the remaining 330 units from the production during the period at $12 each.

So, the cost of goods sold would be:

Cost of goods sold = (290 x $9) + (40 x $9) + (330 x $12) = $2,610 + $360 + $3,960 = $6,930

Therefore, the correct option is D. $3,090. However, since there is no value close to this answer, it appears that there may be an error or inconsistency in the given information or calculations.

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At occer practice, Haan warm up by kicking ball at the goal. Yeterday, Haan made 24 goal in 3 minute. Today, he only pent 2 minute kicking ball at the goal. If Haan made goal at the ame rate, how many goal did he make today?

Answers

Han made 16 goals at soccer practice today.

Let's call the number of goals Han made per minute "g". Yesterday, Han made 24 goals in 3 minutes, so g = 24 / 3 = 8 goals per minute.

Today, Han spent 2 minutes kicking balls at the goal, and if he made goals at the same rate, he would have made g * 2 = 8 * 2 = 16 goals.

So, Han made 16 goals at soccer practice today. The number of goals Han made yesterday and today is directly proportional to the amount of time he spent kicking balls at the goal. As he made 8 goals per minute, when he spends more time, he makes more goals and vice versa.

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True or False. assume the variables x, y, and z have each been assigned an integer value. write a fragment of code that assigns the least of these three variables to another variable named min.

Answers

True. The variables x, y, and z have each been assigned an integer value.

Here is a fragment of code that assigns the least of three integer variables to another variable named min:

min = x  # initialize min to the value of x

if y < min:  # check if y is less than min

   \(min = y\) # \(update min to the value of y if y is less than min\)

if z < min:  # check if z is less than min

   \(min = z\) # \(update min to the value of z if z is less than min\)

In this code, the variable 'min' is first initialized to the value of 'x'. Then, the code checks if 'y' is less than 'min', and if so, updates the value of 'min' to 'y'. Finally, the code checks if 'z' is less than 'min', and if so, updates the value of 'min' to 'z'. At the end of this code fragment, the variable 'min' will contain the least of the three variables 'x', 'y', and 'z'.

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1.)3(x+2)=15
2.)2(x+5)=24
3.)6(x-9)=12
4.)2(3x+5)= -44
5.)5(4x-3)=11
6.)-3(2x+1)=21
7.)-9(x -4)=54
8.)7(x-4)-3=46
9.)2(3x-1)+3=21
10.)2(x+1)+3x=37
11.)12+4(2x+4)=68
12.)3x-2(6x-3)=42

Answers

The solution to the Equations is    x = 3, x = 7, x = 11,  x = -9,  x = 1.3,               x = -4, x = -4,x = -2,x = 11, x = 3.33,x = 7, x = 5,x = -4.

1. To solve 3(x+2)=15, we first distribute the 3 and get 3x + 6 = 15. Then, we subtract 6 from both sides and get 3x = 9. Finally, we divide both sides by 3 and get x = 3.

2. To solve 2(x+5)=24, we first distribute the 2 and get 2x + 10 = 24. Then, we subtract 10 from both sides and get 2x = 14. Finally, we divide both sides by 2 and get x = 7.

3. To solve 6(x-9)=12, we first distribute the 6 and get 6x - 54 = 12. Then, we add 54 to both sides and get 6x = 66. Finally, we divide both sides by 6 and get x = 11.

4. To solve 2(3x+5)= -44, we first distribute the 2 and get 6x + 10 = -44. Then, we subtract 10 from both sides and get 6x = -54. Finally, we divide both sides by 6 and get x = -9.

5. To solve 5(4x-3)=11, we first distribute the 5 and get 20x - 15 = 11. Then, we add 15 to both sides and get 20x = 26. Finally, we divide both sides by 20 and get x = 1.3.

6. To solve -3(2x+1)=21, we first distribute the -3 and get -6x - 3 = 21. Then, we add 3 to both sides and get -6x = 24. Finally, we divide both sides by -6 and get x = -4.

7. To solve -9(x-4)=54, we first distribute the -9 and get -9x + 36 = 54. Then, we subtract 36 from both sides and get -9x = 18. Finally, we divide both sides by -9 and get x = -2.

8. To solve 7(x-4)-3=46, we first distribute the 7 and get 7x - 28 - 3 = 46. Then, we combine like terms and get 7x - 31 = 46. Then, we add 31 to both sides and get 7x = 77. Finally, we divide both sides by 7 and get x = 11.

9. To solve 2(3x-1)+3=21, we first distribute the 2 and get 6x - 2 + 3 = 21. Then, we combine like terms and get 6x + 1 = 21. Then, we subtract 1 from both sides and get 6x = 20. Finally, we divide both sides by 6 and get x = 3.33.

10. To solve 2(x+1)+3x=37, we first distribute the 2 and get 2x + 2 + 3x = 37. Then, we combine like terms and get 5x + 2 = 37. Then, we subtract 2 from both sides and get 5x = 35. Finally, we divide both sides by 5 and get x = 7.

11. To solve 12+4(2x+4)=68, we first distribute the 4 and get 12 + 8x + 16 = 68. Then, we combine like terms  x = 5.

12.To solve 3x - 2(6x - 3) = 42, we first distribute the -2 and get:3x - 12x + 6 = 42,9x + 6 = 42Then, we subtract 6 from both sides:-9x = 36Finally, we divide both sides by -9 and get:x = -4Therefore, the solution to the equation is x = -4.

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The solution to the algebraic expressions are:

1. x = 3

2. x = 7

3. x = 13

4. x = -9

5. x = 1.3

6. x = -4

7. x = -2

8. x = 11

9. x = 10/3

10. x = 5

11. x = 5

12. x = -4

How to solve Algebra Expressions?

1. 3(x + 2) = 15,

Using distributive property, we get 3x + 6 = 15.

3x = 9

x = 9/3

x = 3

2. 2(x + 5) = 24

Using distributive property, we get:

2x + 10 = 24

2x = 14

x = 7

3. 6(x - 9) = 12

Using distributive property, we get:

6x - 54 = 24

6x = 78

x = 78/6

x = 13

4. 2(3x + 5) = -44

Using distributive property, we get:

6x + 10 = -44

6x = -54

x = -9

5. 5(4x - 3) = 11

Using distributive property, we get:

20x - 15 = 11

20x = 26

x = 1.3

6. -3(2x + 1) = 21

-6x - 3 = 21

-6x = 24

x = -4

7. -9(x - 4) = 54

Using distributive property, we get:

-9x + 36 = 54

-9x = 54 - 36

-9x = 18

x = -2

8. 7(x - 4) - 3 = 46

Using distributive property, we get:

7x - 28 - 3 = 46

7x = 77

x = 11

9) 2(3x - 1) + 3 = 21

Using distributive property, we get:

6x - 2 + 3 = 21

6x = 20

x = 20/6

x = 10/3

10) 2(x + 1) + 3x = 37

2x + 2 + 3x = 37

5x = 35

x = 5

11) 12 + 4(2x + 4) = 68

12 + 8x + 16 = 68

8x = 40

x = 5

12) 3x - 2(6x - 3) = 42

3x - 12x + 6 = 42

6 - 9x = 42

9x = -36

x = -36/9

x = -4

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Find the measure of each numbered angle
<3
<4
<5

Answers

The measure of angle 3, 4 and 5 from the given figure are 36°, 72° and 72° respectively.

From the given figure,

50°+65°+x=180° (By angle sum of property of a triangle)

115°+x=180°

x=180°-115°

x=65°

∠2=65° (Vertically opposite angles)

140°+y=180° (Sum of adjacent angles is 180°)

y=40°

Now, 40°+68°+∠5=180°

108°+∠5=180°

∠5=180°-108°

∠5=72°

∠4=∠5=72° (Vertically opposite angles)

∠3+∠4+∠5=180°

∠3+72°+72°=180°

∠3+144°=180°

∠3=36°

Therefore, the measure of angle 3, 4 and 5 from the given figure are 36°, 72° and 72° respectively.

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Find the measure of each numbered angle&lt;3&lt;4&lt;5
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