if BD and EG are parallel lines and m∠DCF = 125°, what is m∠DCA

Given:

AB is the diameter of a circle whose center is the point (4,-3).

Coordinates of A are (-1,5).

To find:

The measure of AB.

Solution:

Let point O(4,-3) be the center of the circle.

Then, OA is the radius of the circle.

We know that, diameter of a circle is twice of its radius.

So, [tex]AB=2(OA)[/tex]       ...(i)

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between O and A is

[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]

[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]

[tex]OA=\sqrt{25+(8)^2}[/tex]

[tex]OA=\sqrt{25+64}[/tex]

[tex]OA=\sqrt{89}[/tex]

Now, using (i), we get

[tex]AB=2(OA)[/tex]

[tex]AB=2(\sqrt{89})[/tex]

[tex]AB=2\sqrt{89}[/tex]

Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.

Answer:

46 1/2 miles

Step-by-step explanation:

Given that:

Bus traveled at a constant speed ;

Miles traveled = 15 1/2 miles

Time taken for the travel = 1/3 of an hour

Number of miles bus will travel in 1 hours :

Let number of miles traveled in 1 hour = n

15 1/2 miles = 1/3 hour

n miles = 1 hour

Cross multiply :

1/3 * n = 15 1/2 * 1

1/3n = 31/2

Divide both sides by 1/3

n = 31/2 ÷ 1/3

n = 31/2 * 3/ 1

n = 93/2

n = 46.5 miles = 46 1/2 miles

Answer:

124°

Step-by-step explanation:

(11x + 3)° + (x + 15)° + (2x + 8)° = 180°

14x + 26 = 180

14x = 154

x = 11

m∠R = [11(11) + 3]° = 124°

Answer:

Step-by-step explanation:

Answer:

2. m∠4 + m∠5 = 210°

3. Alternate interior angles theorem.

4. 2 × m∠4 = 210°

5. 105°

Step-by-step explanation: i hope this helped youuuuuu have a wounderful thanksgiveing eat alot of food and you get to sleep in Imao!!!!

Answer:

< ABD

Step-by-step explanation:

Answer:

1. y>2x+1

2. The dots and the marked zone over the line indicates that it is a ">"

Answer:

D =  [tex]\frac{-d}{-2}[/tex]

Step-by-step explanation:

The students in this question are trying to pay back only half of the current debt (d) with the fundraiser (D). Since debt is money that is owed it would therefore be represented as a negative but in this case the fundraiser needs to be positive since it is money gained. So since we have a negative we would need to divide by -2  in order for the total to be positive.

D =  [tex]\frac{-d}{-2}[/tex]

Finally, we are left with this equation which shows the debt that will be repaid through the fundraiser

Answer:

107.6

Step-by-step explanation:

5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8

Answer: I am pretty sure it’s 87.08

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

:)

Answer:

52.61 is what Brian payed for the Jacket.

Step-by-step explanation:

52.61 + 7.39 = 60$ in total.

Answer:

ok so a jacket would never cost 60,00 i think you meant 60.00 so it would be $52.61 for the jacket

Step-by-step explanation:

Subtract 7.39 from 60

if you really did mean 60000 the answer would be 5992.61

Answer:

25

Step-by-step explanation:

take C as what Cj has, and J what Jordan has.

Cj has $50 more than Jordan has, so:

C = 50 + J

Together they have $100, so:

C + J = 100

is a system of 2 equations with 2 unknown (C and J):

C - J = 50

C + J = 100

Adding both equations:

2C = 150 ⇒ C = 75

From second equation: J = 25

Answer:

the new sales after decrease in sales percentage this year is $456 dollars

Step-by-step explanation:

The computation of the sales made this year is  shown below:

Given that

last year sales would be $570 dollars

And in this year there is 20% decrease in sales

so, the new sales after 20% decrease would be

= Last year sales × (1 - decreased percentage)

= $570 × (1 - 0.20)

= $570 × 0.80

= $456 dollars

hence, the new sales after decrease in sales percentage this year is $456 dollars

Answer:

It is the first one, so

7u + 5v

Answer:

7u+5v (A)

Step-by-step explanation:

3u+4u=7u

7v-2v=5v

7u+5v

PLS GIVE BRAINLIEST

Answer:

y = 0.75x

Step-by-step explanation:

Im not sure lmk

Number of student lunch today is 450 students

Given:

Fraction of student lunch today = 5/8

Total number student = 720 students

Find:

Number of student lunch today

Computation:

Number of student lunch today = Fraction of student lunch today × Total number student

Number of student lunch today = (5/8) × (720)

Number of student lunch today = (5) × (90)

Number of student lunch today = 450 students

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Answer:

The first selection is the answer.

Step-by-step explanation:

x+12=86

The equation that can be used to find x is x + 12 = 86

A linear equation is of the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of seashells in the collection before the 12 were added.  Hence to find x, we use the equation:

x + 12 = 86

The equation that can be used to find x is x + 12 = 86

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Answer:

for first blank its 1/3 and second blank is 5

Step-by-step explanation:

Answer:

y=-1/3x+5

Step-by-step explanation:

BRAINLIEST PLS

Answer:

No queda nada del pastel.

Step-by-step explanation:

El pastel representaria un entero, si al entero lo dividimos en tercios, son tres tercios los que los conforman, por ende si lo cortamos tres veces, en el primer corte quedarian dos tercios de pastel, en el segundo corte un tercio, y en el tercer corte el ultimo tercio , generando asi que no quede nada de este.

Los enteros se dividen en cuartos, tercios y hasta octavos, o muchas mas fracciones.

Un entero es equivalente a 4 porciones de 1/4 y a 3 porciones de 1/3

Answer:

1) [tex]13x^{2}[/tex]

2) [tex]208x^{6}[/tex]

Step-by-step explanation:

(3*3(x)^2) + (2*2(x)^2) = 9x^2 + 4x^2 = 13x^2

(6*6*6(x)^3) - (2*2*2(x)^3) = 216x^3 - 8x^3 = 208x^3

Answer: The sale price is $36.

Step-by-step explanation:

40% ÷ 100 = 0.4

0.4 × $60 = $24

$60 - $24 = $36

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

If there is an off of 40% on an item that cost $60.

The regular price of the item is $48.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

105 = 10/100 = 1/10

Example:

50% of 40 is 20.

50/100 x 40 = 20

25% of 100 is 25.

25/100 x 100 = 25.

We have,

Regular price = $60

Off = 40%

Sale price:

= 60 - (40% of 60)

= 60 - (40/100 x 60)

= 60 - (2/5 x 60)

= 60 - (2 x 12)

= 60 - 24

= $48

Thus.

If there is an off of 40% on an item that cost $60.

The regular price of the item is $48.

Learn more about percentages here:

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Answer:

The price that Camilla paid for the book was $9.

Step-by-step explanation:

To be able to find the pice that Camilla paid for the book, first, you have to calculate the 25% of the price of the book:

$12*25%=$3

Now, you have to subtract that amount from the price of the book:

$12-$3=$9

According to this, the answer is that the price that Camilla paid for the book was $9.

Answer:

[tex]y=-6x-17[/tex] (B)

Step-by-step explanation:

[tex]y=mx+b\\m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{1--5}{-3--2} = \frac{6}{-1} = -6\\y=-6x+b\\[/tex]

Plug in one of the two points for X and Y

(-3,1)

[tex]1=-6(-3)+b\\1=18+b\\b=-17\\\\y=-6x-17[/tex]

Answer:

Jeremy is correct

Step-by-step explanation:

Marcus and Jeremy both evaluated the expression −5^2 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.

Marcus is wrong

This is because, Marcus calculated:

-5^2 + 3

= -25 + 3

= -22

This is wrong because it did not follow the rules which states that:

- × - = +

Jeremy calculation is shown below:

-5^2 + 3

-5 × -5 + 3

= 25 + 3

= 28

Jeremy is correct

Answer:

Step-by-step explanation:

Parabola's equation is

y

=

1

16

(

x

−

7

)

2

+

1

and vertex is

(

7

,

1

)

.

Explanation:

Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.

Let the point be

(

x

,

y

)

. Here focus is

(

7

,

5

)

and distance from focus is

√

(

x

−

7

)

2

+

(

y

−

5

)

2

. Its distance from directrix

y

=

−

3

i.e.

y

+

3

=

0

is

|

y

+

3

|

.

Hence equaion of parabola is

(

x

−

7

)

2

+

(

y

−

5

)

2

)

=

|

y

+

3

|

2

or

x

2

−

14

x

+

49

+

y

2

−

10

y

+

25

=

y

2

+

6

y

+

9

or

x

2

−

14

x

+

65

=

16

y

i.e.

y

=

1

16

(

x

2

−

14

x

+

49

−

49

)

+

65

16

or

y

=

1

16

(

x

−

7

)

2

+

65

−

49

16

or

y

=

1

16

(

x

−

7

)

2

+

1

Hence parabola's equation is

y

=

1

16

(

x

−

7

)

2

+

1

and vertex is

(

7

,

1

)

.

graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}

b

こんにちは

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Answer:

$252000

Step-by-step explanation:

Amount of real estate without commission = $315000

Total percentage commission on sale = 5 3/4 + 10 1/8 + 4 1/8

5 3/4 + 10 1/8 + 4 1/8 = 23/4 + 81/8 + 33/8

23/4 + 81/8 + 33/8 = 46+81+33/8

23/4 + 81/8 + 33/8 = 160/8

23/4 + 81/8 + 33/8 = 20%

Hence the total percent commission is 20%

Commission amount = 20% of $315000

Commission amount = 20/100 * 315000

Commission amount = 0.2*315000

Commission amount = $63000

The amount the seller get = $315000 = $63000

The amount the seller get= $252000

Answer:

24

Step-by-step explanation:

Sally visited 16 stores when shopping for 2 hours.

Since Sally could look in 6 stores in 45 minutes. Hence:

Time spent in each store = 45 minutes/6 stores = 7.5 minutes per store.

Given a time of 2 hours = 2 hours * 60 minutes per hour = 120 minutes

Number of stores visited in 2 hours = 120 minute / 7.5 minute per store = 16 stores

Therefore Sally visited 16 stores in 2 hours.

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