The diagram below shows the start and finish diagrams of a construction using a compass and straightedge.
Start
Finish
G
Which of the following statements are true about this construction? Select all that apply.
G
O
O
O
O
O
The construction is of a line perpendicular to FG from a point not on FG
The first step of the construction is to draw a circle with center X.
The first step of the construction is to draw the perpendicular bisector of wY
The second step of the construction is to draw the perpendicular bisector of FG.
The second step of the construction is to draw the perpendicular bisector of VwY.q

Answer:

The values are a=6, b=8

Step-by-step explanation:

The following system of equations

ax - by = 4

bx - ay = 10

Has the solution x=2, y=1. Substituting:

2a - b = 4      [1]

2b - a = 10      [2]

Multiply [1] by 2:

4a - 2b = 8

Add with [2]:

3a = 18

a = 18/3 = 6

a = 6

From [1]:

2*6 - b = 4

b = 12 - 4

b = 8

The values are a=6, b=8

Answer:

$16,000?

Step-by-step explanation:

375 times 36 is 13500

Add 2500

and you have 1600

thats my guess

Answer:

B and D

Step-by-step explanation:

Answer:

x = 11 | Scale factor = 2

Step-by-step explanation:

As you can see, the 3 turns into a six meaning it multiplied by 2. Apply this to 5.5 to get 11. The 2 is your scale factor.

Hope this helps,

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Happy Holidays to everyone!

Answer:

The line is 4/3x

Step-by-step explanation:

I graphed it

Answer:answer choice 2

Step-by-step explanation:

Answer:

1. angle Y, angle XYZ, and angle ZYX

2. angle PQR, angle SQR, and angle PQS

Step-by-step explanation:

1. The 3 ways to name the given angle are:

✔️The use of an alphabet of the vertex: angle Y

✔️The use of the three alphabets can be named in two ways with the middle alphabet representing the vertex:

angle XYZ

angle ZYX

2. The three different angle in the diagram consist of two adjacent angles that share the same side: angle PQR and angle SQR,

and the bigger angle that sums up the two internal angles, which is angle PQS

The expressions "7^4", "7 to the fourth power", and "7*7*7*7"are the expressions that are equivalent.

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Answer:

A scientific control is an experiment or observation designed to minimize the effects of variables other than the independent variable. This increases the reliability of the results, often through a comparison between control measurements and the other measurements.

Answer:

c

Step-by-step explanation:

Answer:

C) c = 5 ( 3.5b + 10 )

Step-by-step explanation:

This is because the shop will charge a flat rate of $10 per visit. Then it will charge $3.5 per bowl. Hence the equation; (3.5b + 10) is formed. Finally, if one goes there 5 times, they will have to multiply this equation by 5 to find the total cost. Henceforth, C) is the only correct answer.

Answer:

huh?

Step-by-step explanation:

Answer:

She/He is right it's C. Tysm!

The correct answer is:

A) −12d−15 (None of the options provided are equivalent to the given expression.)

To simplify the expression −4(3d−2)−7, we can apply the distributive property by multiplying -4 to each term inside the parentheses:

−4(3d−2)−7 = -4 * 3d + (-4) * (-2) - 7

This gives us:

-12d + 8 - 7

Combining like terms:

-12d + 1

So the expression is equivalent to -12d + 1.

Therefore, the correct answer is:

A) −12d−15 (None of the options provided are equivalent to the given expression.)

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Answer:

∠ACB is a right angle

Graph:

Answer:

Down payment = $17,400

Amount of mortgage loan = $69,600

Step-by-step explanation:

Given that :

Cost of home = $87,000

Down payment = 20%

Amount of down payment :

20% of the cost of home

(20/ 100) * $87,000

0.2 * 87000 = $17,400

The cost of mortgage loan required to finance the purchase :

Cost of home - downpayment

$87,000 - $17,400

= $69,600

Answer:

62 32/39%

Step-by-step explanation:

[tex]\frac{49}{78}*\frac{100}{1}=\frac{4900}{78}=\frac{2450}{39}=62\frac{32}{39}%[/tex]%

The percentage of Mrs. Rogers crafts sold is 62.82%.

Given that, Mrs. Rogers sold 49 out of 78 crafts at the fair.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Percent of crafts sold =Number of crafts sold/Total number of crafts ×100

= 49/78 ×100

= 0.6282×100

= 62.82%

Therefor, the percentage of Mrs. Rogers crafts sold is 62.82%.

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Answer:

RELATED

How to Solve a Hexagon

Updated October 23, 2018

By Chris Deziel

A polygon is any closed two-dimensional figure with 3 or more straight (not curved) sides, and a 12-sided polygon is known as a dodecagon. A regular dodecagon is one with equal sides and angles, and it's possible to derive a formula for calculating its area. An irregular dodecagon has sides of different lengths and different angles. A six-pointed star is an example. There's no easy way to calculate the area of an irregular 12-sided figure unless you happen to have it plotted on a graph and can read the coordinates of each of the vertices. If not, the best strategy is to divide the figure into regular shapes for which you can calculate the area.

Calculating the Area of a Regular 12-Sided Polygon

To calculate the area of a regular dodecagon, you have to find its center, and the best way to do that is to scribe a circle around it that just touches each of its vertices. The center of the circle is the center of the dodecagon, and the distance from the center of the figure to each of its vertices is simply the radius of the circle (r). Each of the 12 sides of the figure is the same length, so denote this by s.

You need one more measurement, and that's the length of a perpendicular line drawn from the midpoint of each side to the center of the 12-sided shape. This line is known as the apothem. Denote its length by m. It divides each section formed by the radius lines into two right-angled triangles. You don't know m, but you can find it using the Pythagorean theorem.

The 12 radius lines divide the circle you scribed around the dodecagon into 12 equal sections, so at the center of the figure, the angle each line makes with the one next to it is 30 degrees. Each of the 12 sections formed by the radius lines is made up of a pair of right-angled triangles with hypotenuse r and one angle of 15 degrees. The side adjacent to the angle is m, so you can find it using r and the sine of the angle.

Step-by-step explanation:

The area of the polygon is  344.18 square inches.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

A regular 12-gon has a side length of 8 inches.

Apothem of the polygon,

a = {8/2(tan180/8)}

a = 8/2tan22.5

a = 7.17 inches.

The area of the polygon,

= 12 x 8 x 7.17 / 2

= 344.18 square inches.

Therefore, the area is 344.18 square inches.

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Answer:

70cm

Step-by-step explanation:

10 times 7 = 70

Answer:

288 combinations.

Step-by-step explanation:

Simply multiply 2! by 3! and 4! which equals to 2 * 6 * 24 = 288 combinations.

Hope this helped!

Answer:

24

Step-by-step explanation:

Answer:

Point D: [tex](0,-4, 1 )[/tex]

d = √41

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Step-by-step explanation:

Step 1: Define

Point A(1, 2, -1)

Point B(-3, -6, 2)

Point C(3, -2, 0)

Step 2: Find Point D

Simply plug in your coordinates B and C into the midpoint formula to find midpoint

Step 3: Find distance d

Simply plug in the 2 coordinates A and D into the distance formula to find distance d

Answer:

A (0,0)

Step-by-step explanation:

y - 3x < 1

0 - 3(0) < 1

0 < 1

Answer:

5%

Step-by-step explanation:

DIvide 4 by 79

Step-by-step explanation:

just divide 8,127,650,198,774 by 23,476,117,934,187

by calculator

Answer:

2

Step-by-step explanation:

Answer:

6 because the pattern on the 3 rows is remove 1 on each of the starting and end point of the pattern, therefore, 6 for the 4th row, 4 for the 5th row 2 for the last row

Answer:

Answer:

y = -20x + 300

Step-by-step explanation:

y is total amount of money left (because this is the answer we are trying to find.)

x is the amount of times she goes to the ATM (because this is our unknown variable.)

-20 multiplies by x because she loses $20 every time she goes to the ATM. The equation has + 300 because she already has $300 in her bank account.

Answer:

90m + 5

Step-by-step explanation:

Distribute 13 to (9-6m) and distribute 14 to (12m -8)

13*9 - 13*6m + 14*12m - 14*8 =

117 - 78m + 168m - 112 =

put like terms together

117-112 -78m + 168m =

5 + 90m

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Answer:

( - 10, 30 )

Step-by-step explanation:

A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of midpoint are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~~~~~~~

A( - 60, 40)

B(40, 20)

The location of the rest station is

( [tex]\frac{-60+40}{2}[/tex] , [tex]\frac{40+20}{2}[/tex] ) = ( - 10, 30 )

Answer:

(-10,30)

Step-by-step explanation:

i just took test

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Answer:  [tex]=\frac{-1}{16}[/tex]

Step-by-step explanation:

given data:

number to be chosen from = 1,2,3,4.

Solution:

ways the number can show

[tex]2*3*1=6[/tex] ways for your number to appear once.

[tex]1*1=1[/tex] ways for your number to appear twice.

[tex]3*3=9[/tex] ways for your number not to appear at all

[tex]= \frac{6(1) + 1(2) - 9(1)}{16}[/tex]

[tex]= \frac{6+2-9}{16}[/tex]

[tex]=\frac{-1}{16}[/tex]

expected return of the player is [tex]=\frac{-1}{16}[/tex]