Find the measures of all four angles if 3·(m∠1+m∠3) = m∠2+m∠4.

Answer: Found it by web and solving

Step-by-step explanation: L = W + 4

LW = 60

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LW = 60

(W + 4)W = 60

W^2 + 4W + (-60) = 0

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above is in quadratic equation form: ax^2 + bx + c = 0

---

use the quadratic formula to solve for two solutions:

x = ( -b +- sqrt( bb - 4ac ) ) / 2a

---

the two solutions are:

W = 6

W = -10

the negative solution doesn't make sense for length, so use the positive solution.

---

L = 10

W = 6

Answer:

+3/2 (Answer B)

Step-by-step explanation:

If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:

     -1

------------ = +3/2 (Answer B)

   -2/3

Answer:

(2, 10)

Step-by-step explanation:

Since we are only focusing on vertical movement, we are looking at the y-value. We are moving up 3 units, so we just add 3 to 7 to get 10.

Answer:

2,10

Step-by-step explanation:

The X-axis goes horizontally, and the Y-axis goes vertically, and when doing these coordinate like things, the X-axis goes first, and the Y-axis goes second. So 2 is the X-axis, and 7 is the Y-axis. So if you have to move up 3 units, you have to add 3 to 7, because 7 is vertical and 2 is horizontal.

Answer:

fkdoekenrnfrkdoki

Step-by-step explanation:

haha dokie

Answer:

Perpendicular (A)

Step-by-step explanation:

First find the gradient of the first line:

Change in y/ Change in x =  -7-(-2)/ -9-(-12) = -5/3

Now find the gradient of the second line:

9-6/1-6 = -3/-5 = 3/5

When we multiply the gradient of two perpendicular lines we will get:

m1 x m2 = -1

If we multiply 3/5 and -5/3 we will get -1

Therefore it is perpendicular!

Answer:

-6

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The median is the average of n + 7 and n + 8 which is n + 7.5. This means that n + 7.5 = 20 so n = 12.5. The average (or mean) is the sum of terms divided by the number of terms. The sum is 10n + 85 and the number of terms is 10, We know that n = 7.5 so the answer is 10 * 7.5 + 85 / 10 = 75 + 85 / 10 = 160 / 10 = 16.

Answer:

21

Step-by-step explanation:

To find the median of the given set, you narrow the options down and get n+7 and n+8 as the middle numbers. The average of those two is n+7.5, so that's the median.

n+7.5=20

n=12.5

Substitute n into the values.

12.5, 14.5, 15.5, 17.5, 19.5, 20.5, 23.5, 26.5, 28.5 and 31.5.

Add everything together to get 210. Divide 210 by 10, the number of values, and you end up with 21.

Answer:

x = -4, 2.5

Step-by-step explanation:

To find the solution, look for the points where the line crosses the parabola. As this question only asks for the x-values, find the distance to the left and right of the y-axis. Here, it's -4 on the left and 2.5 on the right.

Answer:

D is the correct answer.

Step-by-step explanation:

Distribute (−6x^4 + x^2 − 1)(2x^3 - 4x + 3)

-12x^7 + 24x^5 - 18x^4 + 2x^5 - 4x^3 + 3x^2 - 2x^3 + 4x - 3

Combine Like Terms

-12x^7 + 26x^5 - 18x^4  - 6x^3 + 3x^2 + 4x - 3

Answer:

yes

Step-by-step explanation:

Answer:

The quotient of 10x⁵ ÷ x² equals to 10x³

Step-by-step explanation:

In the problem, we are asked to find the quotient of 10x⁵ ÷ x². The rule of exponents is when you are dividing exponents, you subtract the exponential numbers. So, you would subtract 5 by 2 because those are our exponential values.

So, 10x⁵ ÷ x² equals 10x³

Answer:

see below

Step-by-step explanation:

x=y+3

Subtract 3 from each side

x-3 = y

y = x-3

y=-4x-3

We have both equations in slope intercept form

y = mx +b where m is the slope and b is the y intercept

graph is below

They both have the same y intercept so they intersect at (0,-3)

Substitution

x=y+3

y=-4x-3

Substitute the second equation into the first equation

x=y+3

x = -4x-3 +3

x = -4x

Add 4x to each side

5x =0

x=0

y = -4x-3

y = 0-3

y = -3

(0,-3)

Additon

x=y+3

Subtract y from each side

x-y = 3

y=-4x-3

Add 4x to each side

4x+y =-3

Add the equations together to eliminate y

x-y = 3

4x+y =-3

-----------------

5x +0y =0

5x = 0

x=0

Now solve for y

y = -4x-3

y = 0-3

y = -3

(0,-3)

Answer:

The linear vertion of 26

Step-by-step explanation:

Answer:

2.09,2.64,2.8,12.06,12.35 and 21.3

Step-by-step explanation:

Answer:

If the data is collected in a biased manner, or the number of observations is too small, the graph could be skewed. To ensure the data is not skewed, collect a large representative unbiased sample. Hope this helps

Step-by-step explanation:

Answer:

(8,1)

Step-by-step explanation:

Answer:

The midpoint is (8,1)

Step-by-step explanation:

To find the midpoint take the average of the x coordinates and the average of the y coordinates

x= (x1+x2)/2   and y = (y1+y2)/2

x = (-3+19)/2 = 16/2 = 8

y = (-12+14)/2 = 2/2 = 1

The midpoint is (8,1)

Answer:

[tex]60^{\circ}[/tex]

Step-by-step explanation:

From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.

Exterior angle of a regular polygon with n sides [tex]=\dfrac{360^{\circ}}{n}[/tex]

In a regular hexagon number of sides: n =6

Exterior angle of a regular hexagon [tex]=\dfrac{360^{\circ}}{6}=60^{\circ}[/tex]

Since ∠I is an exterior angle of the regular hexagon, therefore, [tex]\angle I=60^{\circ}[/tex].

Answer:

Answer:

60

Step-by-step explanation:

From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.

Exterior angle of a regular polygon with n sides

In a regular hexagon number of sides: n =6

Exterior angle of a regular hexagon

Since ∠I is an exterior angle of the regular hexagon, therefore, . is 60

Step-by-step explanation:

The cost of 2 rubber stamps is $2.

We have given that rubber stamps cost $10.30  

we have determined the cost of 2 rubber stamps.

We have to find the price per stamp.

[tex]1 samp price=\frac{cost for all stamp }{total number of stamp}[/tex]

Therefore we get,

10.30/10 = 1.03 per stamp

For two stamps:

1.03 x 2 = $2.06 for two

=$2.06

=$2

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It is possible to create a regular tessellation with a regular octagon, is false.

A tessellation or tiling is the seamless covering of an area, frequently a flat, including one or much more geometric forms, known as tiles.

It is impossible to create a regular tessellation with a regular octagon because when an octagon is arranged, a gap is there.

Then the statement is false.

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Answer:

[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4[/tex]

[tex]12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}[/tex]

[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12[/tex]

[tex]7^2 - 5* 8+1 = 10[/tex]

[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18[/tex]

Step-by-step explanation:

Required: Solve the expressions using proper operation order

To solve this, we'll make use of BODMAS

--------------------------------------------------------------------------------------------------------

[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26}[/tex]

Evaluate all squares and square roots

[tex]\frac{41 - 3*3}{\sqrt{36} * 3 - 26}[/tex]

[tex]\frac{41 - 3*3}{6 * 3 - 26}[/tex]

Evaluate the numerator (Start by multiplying 3 * 3)

[tex]\frac{41 - 9}{6 * 3 - 26}[/tex]

Subtract 9 from 41

[tex]\frac{32}{6 * 3 - 26}[/tex]

Evaluate the denominator (Start by multiplying 6 * 3)

[tex]\frac{32}{18 - 26}[/tex]

[tex]\frac{32}{-8}[/tex]

Divide 32 by -8

-4

Hence;

[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4[/tex]

--------------------------------------------------------------------------------------------------------

[tex]12 + 3\sqrt{8} * (9 - 2)[/tex]

Start by evaluating the bracket

[tex]12 + 3\sqrt{8} * 7[/tex]

Then evaluate the multiplication

[tex]12 + 21\sqrt{8}[/tex]

Simplify the square root

[tex]12 + 21\sqrt{4 * 2}[/tex]

Split the square root

[tex]12 + 21\sqrt{4} * \sqrt{2}[/tex]

Take Square root of 4

[tex]12 + 21 * 2} * \sqrt{2}[/tex]

[tex]12 + 42 \sqrt{2}[/tex]

Hence;

[tex]12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}[/tex]

--------------------------------------------------------------------------------------------------------

[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5}[/tex]

Evaluate 7²

[tex]\frac{28 - (49 + 3)}{-13 + 3 * 5}[/tex]

Evaluate all expression in the bracket

[tex]\frac{28 - (52)}{-13 + 3 * 5}[/tex]

[tex]\frac{28 - 52}{-13 + 3 * 5}[/tex]

Evaluate 3 * 5

[tex]\frac{28 - 52}{-13 + 1 5}[/tex]

[tex]\frac{-2 4}{2}[/tex]

[tex]-12[/tex]

Hence;

[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12[/tex]

--------------------------------------------------------------------------------------------------------

[tex]7^2 - 5* 8+1[/tex]

Evaluate 7²

[tex]49 - 5* 8+1[/tex]

Evaluate 5 * 8

[tex]49 - 40 + 1[/tex]

[tex]10[/tex]

[tex]7^2 - 5* 8+1 = 10[/tex]

--------------------------------------------------------------------------------------------------------

[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1[/tex]

Evaluate all square root and cube root

[tex](2 * 4) - (3 * 9) + 1[/tex]

Solve the expressions in bracket

[tex]8 - 27 + 1[/tex]

[tex]-18[/tex]

Hence;

[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18[/tex]

Answer:

20

Step-by-step explanation:

(2,-3) to (4,-3) = 2

(4,-3) to (4,5) = 8

(4,5) to (2,5) = 2

(2,5) to (2,-3) = 8

Total =20

Answer:

20

Step-by-step explanation:

khan said so trust me

Answer: 8 cups of trail mix

Step-by-step explanation: Convert 2 1/2, 3 1/4, and 2 2/3 to decimals—2.5, 3.25, and 2.67. Then add them together to get 8.42. You need to round to 8, because you can only have a exact numbers of cups.

Hope this helps:)

Answer:

The ordered pair is(6,2)

Step-by-step explanation:

2x+2y=16_equation1

y=x-4_equation 2

isolate y in(2x+2y=16)

2y=16-2x

divide both sides by 2

y=8-x

substitute y into equation 2

8-x=x-4

8+4=2x

12=2x

divide both sides by 2

x=6

substitute x into equation 1

2(6)+2y=16

12+2y=16

2y=16-12

2y=4

divide both sides by 2

y=2

Answer:

sin(70°) =10/x

The distance Jeremy jumps from the ramp to the fire escape is 10.6 feet

Step-by-step explanation:

From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft

A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.

From sine definition:

sin(70°) = opposite/hypotenuse

sin(70°) = 10/x

x = 10/sin(70°)

x = 10.6 ft

Answer:

- 938

Step-by-step explanation:

We can change these to positive just so its easier to work with

So 1360 - 422 = 938

since they are going down you just have to change the number to a negative.

The change in elevation is 938 feet.

To find the change in elevation.

The action or fact of raising or being raised to a higher or more important level, state, or position. Elevation is distance above sea level. Elevations are usually measured in meters or feet. They can be shown on maps by contour lines, which connect points with the same elevation; by bands of color; or by numbers giving the exact elevations of particular points on the Earths surface.

Given that:

Dead sea is at an elevation = -1,360 feet.

seabirds flying over the dead sea at an elevation =-422 feet.

Although when you have 2 negative numbers in a subtraction-elevation problem, the elevation difference won't be negative.

So, difference between the depth and the surface of the dead sea

= Dead sea is at an elevation - seabirds flying over the dead sea at an elevation

=-1360-(-422)

=-938 feet.

But that would just describe a regular negative subtraction problem, so it becomes 938 feet.

This answer is positive since it describe the distance between these integers.

So, the change in elevation is 938 feet.

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Answer: A.) 2 <= X <= 5

B.) 48 < = X < = 120

Step-by-step explanation:

Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 5

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 5

To represent the range in hours, first convert the number of days to hour

1 day = 24 hours

2 days = 2 × 24 = 48 hours

5 days = 5 × 24 = 120 hours

Therefore, the range will be

48 < = X < = 120

Answer:a)false.

Sum of 2and p is=2+P

=2+p [since,the value of p is unknown]

Step-by-step explanation:

a) False. The sum of 2 and p is 2+p. We don't have any like terms to combine, so we leave this as is. The sum of two (or more) items is the result of adding them. The expression 2p is the result of multiplying 2 and p. If it said "the product of 2 and p is 2p", then it would be a correct statement.

b) True. Any trinomial is a polynomial, but not the other way around. A polynomial has us sum many monomial terms. A trinomial is a special type of polynomial with exactly 3 terms being added.

Answer:

6400

Step-by-step explanation:

6400/80=80

80+13=93

Hope this Helps

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Your number was 6400 because when 6400/80= 80, Then 80+13= 93.

Division is one of the four basic operations: addition, subtraction, and multiplication are the alternatives 3. department is a simple operation in which a number is split. it's easiest to think about it as a number of items being divided among a sure range of human beings, including inside the above example.

In maths, a division is a technique of splitting a selected amount into the same parts. for instance, we can divide a set of 20 members into 4 agencies of 5 individuals each or five organizations of 4 members every, and so on.

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Answer:

I need more info.

Step-by-step explanation: