What is the measurement of this angle?

63+ (2x+8)+(x + 7) = 180

63+3x+15=180

78+3x=180

3x=102

x=34

Hey there!

63 + (2x + 8) + (x + 7) = 180

DROP the PARENTHESES:

63 + 2x + 8 + x + 7 = 180

CONVERT TO:

63 + 2x + 8 + 1x + 7 = 180

COMBINE the LIKE TERMS 1:

71 + 3x + 7 = 180

COMBINE the LIKE TERMS 2:

78 + 3x = 180

3x + 78 = 180

SUBTRACT 78 to BOTH SIDES:

3x + 78 - 78 = 180 - 78

SIMPLIFY IT:

3x = 180 - 78

3x = 102

DIVIDE 3 to BOTH SIDES:

3x/3 = 102/3

SIMPLIFY IT:

x = 102/3

x = 34

Therefore, your answer should be:

x = 34

Good luck on your assignment & enjoy your day day!

~Amphitrite1040:)

The equation to calculate the distance will be 12 × 2.

From the information given, she travels at 12 miles per hour and the total travel time is 2 hours.

It should be noted that:

Distance = Speed × Time

Therefore,

Distance = 12 × 2

The distance is 24 miles.

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Linear inequality of the given graph is given by option (A) and (C) .

(A) y > x /6 +2   ..(1) this line is represented by upper line .

and y ≤ x /4 + 1   ....(2) this line is represented by lower line .

  Let consider a point (2, 3)

Put in equation (1) , we get

  3 > 0.33 +2

  3 > 2.33

which is true so shading will be in lower part of this line .

Put in equation (2) , we get

 3 ≤  0.5 +1

 3 ≤  1.5

which is false so shading will be in opposite direction in upper part of this line.

Hence , there is a common shading area between the lines which is required area .

(b) y <  x /6 +2   ..(1) this line is represented by upper line  and y ≥ x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 < 0.33 +2

  3 < 2.33

which is false so shading will be in opposite direction to the point in upper part of this line .

Put in equation (2) , we get

 3  ≥ 0.5 +1

 3 ≥  1.5

which is true so shading will be in lower part of this line.

Hence , there is no common shading area between the lines .

(C)  y ≥  x /6 +2   ..(1) this line is represented by upper line  and y < x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 ≥  0.33 +2

  3 ≥  2.33

which is true so shading will be in direction to the point in lower part of this line .

Put in equation (2) , we get

 3  <  0.5 +1

 3 <  1.5

which is is false so shading will be in opposite direction to the point in upper part of this line

Hence , there is a common shading area between the lines which is required area .

(D)  y ≤  x /6 +2   ..(1) this line is represented by upper line  and y > x /4 + 1   ....(2) this line is represented by lower line . Let consider a point (2, 3)

Put in equation (1) , we get

  3 ≤ 0.33 +2

  3 ≤ 2.33

which is false so shading will be in opposite direction to the point in upper part of this line .

Put in equation (2) , we get

 3  > 0.5 +1

 3 >  1.5

which is true so shading will be in lower part of this line.

Hence , there is no common shading area between the lines .

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Answer:

y = -2/7x + 2

Step-by-step explanation:

y=mx + b is the slope intercept form of a line.  The b is the y-intercept.  We are given that.  The point (0,2) tells us that the line crosses the y intercept at 2.

Now we have to find the slope.  The slope is the change in y over the change in y.  Given the points (7,0) and (0,2)  The y's are 2 and 0 and the x's are 0 and 7.  Subtract the y's and subtract the x's.

[tex]\frac{2 - 0}{0 - 7}[/tex] = [tex]\frac{-2}{7}[/tex]

Now we can put in the slope and the y-ntercept

y = mx + b

y = [tex]\frac{-2}{7}[/tex]x + 2

The length of the missing side of the triangle is 33 inches.

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.

Let the length of the unknown sides of the second triangle be represented by x.

Given that the two triangles are similar triangles, therefore, the length of the corresponding sides will be in the same ratio. Thus, we can write the ratio of the sides of the triangle as,

6 inches / 18 inches = 11 inches / x

x = (11 inches × 18 inches) / 6 inches

x = 33 inches

Hence, the length of the missing side of the triangle is 33 inches.

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Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.

For given question,

Alita received twenty-two dollars, seven quarters, and five dimes as change at the grocery store.

The value of coins is all counted in cents.

1 Penny = 1 cent  

1 Nickel = 5 cents  

1 Dime = 10 cents  

1 Quarter = 25 cents

And 1 Dollar = 100 cents

Alita received seven quarters, and five dimes coins as change at the grocery store.

seven quarters = (7 × 25) cents

                         = 175 cents

five dimes =  (5 × 10) cents

                 = 50 cents

The total coins are:

seven quarters, and five dimes

= 175 + 50 cents

= 225 cents

Now we add all change together.

twenty-two dollars, seven quarters, and five dimes

= 22 dollars + 225 cents

= 22 dollars + 2.25 dollars

= 24.25 dollars

= $24.25

Therefore, Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.

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Answer:

Second choice: Student failed to square the x part

Step-by-step explanation:

x - 2y = 6 - 2.3 = 0 so that is the only plausible explanation

Answer: The student  failed to square the x² part. This led to calculating x² as six instead 36

Answer:

Step-by-step explanation:

You want the transformation rule that describes the translation from R(5, 0) to R'(1, 3).

The difference between R' and R is ...

  R' -R = (1, 3) -(5, 0) = (1-5, 3-0) = (-4, 3)

The difference between the point (x, y) and the translated point (a, b) is ...

  (a, b) -(x, y) = (a -x, b -y)

These differences are equal, so we have ...

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by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller than the map of scale of 1 inch to 1,500 feet as it includes more area in a single inch.

We are given that:

A map of the city has a scale of 1 inch to 2,000 feet.

This means that 1 inch of the map represents the 2,000 feet of the actual area of the city.

Now, we are given another map which has a scale of 1 inch to 1,500 feet.

This means that 1 inch of the map represents the 1,500 feet of the actual area of the city.

So, by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller as it includes more area in a single inch.

Therefore. by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller than the map of scale of 1 inch to 1,500 feet as it includes more area in a single inch.

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Answer:

6 units

Step-by-step explanation:

The complete statement is that if the equation of the function f(x + 3) = x^2 + 4x − 7, the value of the function f(2) is -10

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

A quadratic equations can be split to several equations and it can be solved as a whole

In this case, we have

f(x + 3) = x^2 + 4x − 7

To find f(2), we make use of the following comparison

f(2) = f(x + 3)

This means that

2 = x  + 3

Evaluate

x = -1

Substitute x = -1 in f(x + 3) = x^2 + 4x − 7

f(-1 + 3) = (-1)^2 + 4(-1) − 7

This gives

f(2) = -10

Hence, the complete statement is that if the equation of the function f(x + 3) = x^2 + 4x − 7, the value of the function f(2) is -10

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Answer:

x=5 and y = 0 coordinate = (5,0)

Step-by-step explanation:

solve the simultaneous equation

hope this works :)

The area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²

From the question, we are to determine the area of the backyard that the grass takes up

Area of the backyard that the grass takes up

= Area of the backyard - Area of the rectangle pool deck - Area of the circle  pool

Area of the backyard = 6x × 6x

= 36x²

Area of the rectangle pool deck = 2x × x

= 2x²

Area of the circle pool = πx²

Thus,

Area of the backyard that the grass takes up = 36x² - 2x² - πx²

Area of the backyard that the grass takes up = 34x² - πx²

Hence , the area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²

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The absolute value inequality graphed is:

y ≥ |x - 5| + 1

We can see that we have an absolute value equation, and the region above the graph is shaded, so we have:

y ≥ absolute value equation

We can see that the slope of the absolute value equation is 1, and the vertex is (5, 1), then the equation is:

|x - 5| + 1

Replacing that in the inequality we will get:

y ≥ |x - 5| + 1

That is the graphed inequality.

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Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68"

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

To translate decimal degrees into DMS, take the following actions:

Converting the following angles from decimal degrees to degrees, minutes, and seconds.

A) 45.5013

The whole number is degrees. So 45.5013 gives you 45degrees.

Multiply the remaining decimal by 60.

0.5013*60 =30.078, so the whole number 30 equals minutes.

Multiply the remaining decimal by 60.

.078*60 = 4.68, so the whole number 4.68 equals seconds.

Decimal degrees 45.5013 converts to 45 degrees, 30 minutes and 4.68 seconds, or 45° 30' 4.68".

B) Similarly for this 168.7862.

Decimal degrees 168.7862 converts to 168 degrees, 47 minutes, 10.32 seconds, or 168° 47' 10.32".

C)Similarly for this  87.2530.

Decimal degrees  87.2530 converts to 87 degrees, 15 minutes, 10.8 seconds, or 87° 15' 10.8".

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Answer:

300 ones

Step-by-step explanation:

300 one = 300 of 1 = 300

The other answers are wrong

30 ones = 30 of 1 = 30

3 tens = 3 of 10 = 30

300 tens = 300 of 10 = 3000

Answer:

Sorry if im wrong but for c put (x+8) x (x+y)

for d put (x+3y-1) x (x+y)

Step-by-step explanation:

According to the graph, The value of f(5) from the graph of f(x) is 1.

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

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

From the graph of f(x), the point C(5, 1) represent the point f(5). The value of f(5) from the graph of f(x) is 1.

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If angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.

Given that m∠SOP=(7y-12)° and m∠SOR=(5y+12)°.

We are required to find the value of y and the angle m∠SOP.

We know that sum of all the angles which lie on the straight line is equal to 180°.

And here m∠SOP and m∠SOR both lie on the straight line PR. So,

m∠SOP+m∠SOR=180

7y-12+5y+12=180

12y=180

y=180/12

y=15

We have to use y=15 in m∠SOP=(7y-12)°.

m∠SOP=7*15-12

=105-12

=93°

Hence if angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.

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The given problem falls under the extraneous type of variable.

To find out whether or not changing the values of an independent variable has an impact on a dependent variable is the entire objective of performing an experiment. Any variable that you're not interested in researching but that might also impact the dependent variable is an unnecessary variable. For instance, we would be interested in finding out how a basketball player's average points per game are influenced by the number of hours they exercise each week. The amount of time they spend stretching each week, though, is an unrelated factor that might also impact their points per game.

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The sides of the triangle are as  follows:

a = 43 meters

b = 172 meters

c = 341 meters

Given, we have the perimeter of the triangle as 556 meters.

The sides of the triangle are:

a = x meters

b = 4x meters

c = (8x - 3) meters.

we know that perimeter of the triangle = a + b + c

therefore, a + b+ c = Perimeter

x + 4x + (8x - 3) = 556

x + 4x + 8x - 3 = 556

13x - 3 = 556

13x = 556 + 3

13x = 559

x = 559/13

x = 43

hence we get the value of x as 43.

substitute x value in the sides of the triangle to get the orignal values of the sides.

a  = x = 43 meters.

b = 2x = 4 × 43 = 172 meters.

c = 8x - 3 = 8(43) - 3 = 341 meters.

Hence the sides of the triangle are 43 meters , 172 meters and 341 meters.

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

Explanation:

The parent function y = |x| has its vertex at the origin (0,0). This is the lowest point on the V shaped graph.

The -2 at the end will shift every point 2 units down. This is because we're subtracting 2 from the y coordinate of each point.

So the vertex (0,0) moves down to (0, -2)

The graph is below.

12,0$+3,0$=15,0$ its korrect now

Answer:

62º

Step-by-step explanation:

So this is supplementary angles. Supplementary angles are two or more angles that add up to 180º. This is also vertical angles. Vertical angles are angles across from one another that are congruent(such as the 180º angle and the one up and to the right of it). So if vertical angles are congruent that means that the angle to the right of x is also 118º. And since it is a supplementary angle this is now simple subtraction.

180-118=62.

Hope I could help!

Answer:

Step-by-step explanation:

Find the value of x:

Answer:

4h40min

Step-by-step explanation:

necklaces she made

=$59.50/$4.25

=14necklaces

time spent making 14 necklaces

=14x20min

=280min

=4h40min

Answer:

280minutes or 4hours 40minutes

Step-by-step explanation:

Number of necklaces:

$59.50 ÷ $4.25 = 14

Time taken:

14 × 20minutes = 280minutes

The unknown angle of the right triangle is as follows:

∠CBA = 28.8°

The triangle is a right triangle because one of its angle is equals to 90 degrees.

The angle  ∠CBA, can be found using trigonometric rations,

hence,

tan ∅ = opposite / adjacent

where

∅ = ∠CBA

Therefore,

tan ∠CBA = opposite / adjacent

opposite side = 5.6 m

adjacent side = 10.2 m

Hence,

tan ∠CBA = 5.6 / 10.2

tan ∠CBA = 0.54901960784

tan ∠CBA = 0.54901960784

∠CBA = tan⁻¹ 0.54901960784

∠CBA = 28.7676493388

∠CBA = 28.8°

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Answer:

30

Step-by-step explanation:

to find 10%, find 100% first

because we know what 25% is, the easiest way we can work this out is multiply 25% by 4

so:

[tex] 4 \times 25\% = 100\%\\\\ 75 \times 4 = 300[/tex]

this means that 100% is 300.

now to find 10% all we have to do is divide the number by 10.

[tex]300 \div 10 = 30[/tex]

so 10% is 30

to check we're right, we make sure that 25% and 10% = 35%

75 + 30 = 105, meaning our percentages are correct

Answer:

2y ( 2x + 9ry)

Step-by-step explanation:

A.) Find the greatest common factor and factor out:

(2y x 2x) + (2y x 9ry) = 2y ( 2x + 9ry )

or

B.) Expand each expression:

4xy = ( 2 x 2 x X x y )

18ry^2 = ( 2 x 3 x 3 x r x y x y )

( 2 x 2 x X x y ) + ( 2 x 3 x 3 x r x y x y )

Then, take out like terms and put the expanded factors back together:

2y ( 2 x X + 3 x 3 x r x y ) = 2y ( 2x + 9ry )

Hope this helps!