Point F is on circle C.

Circle C is shown. Line segments E C, F C, and D C are radii. Tangents E G and D G intersect at point D outside of the circle. A line is drawn to connect points F and G. The length of G E is 10 and the length of E C is 7.5. Angles E and D are right angles.

What is the length of line segment GF?

12.5 units
15.0 units
17.5 units
20.0 units

Answer:

22

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To find the mean you have to do the sum of all of the numbers divided by the number of days there are (in this case there are 5: Monday, Tuesday, Wednesday, Thursday, and Friday)

So,

23 + 18 + 24 + 15 + 25 = 105

Then,

105/5 = 21

Answer:

1. Geometric sequence

2. 4,096

3. 5,460

Step-by-step explanation:

Part 1

Since the number of letters sent is multiplied by 4 for any subsequent term, the sequence is an example of a geometric sequence as it grows exponentially.

Part 2

Given a geometric sequence, the nth term is determined using the formula:

[tex]T_n=ar^{n-1},$ where r=common ratio, a=first term, n=number of terms[/tex]

In this case,

a=1 (i.e. Nyah)

r=4

Since we want to determine how many letters will be sent on the sixth mailing(i.e after Nyah), n=7

Substituting

[tex]T_6=1*4^{7-1}\\=4^6\\=4096[/tex]

Part 3

To determine how many people would have participated by the sixth mailing, we are required to find the sum of the first seven terms of the geometric sequence.

We use the sum of a geometric sequence formula

[tex]S_n=\dfrac{a(r^n-1)}{r-1} \\S_7=\dfrac{1(4^7-1)}{4-1} \\=\dfrac{16383}{3}\\\\=5461[/tex]

Therefore, excluding Nyah, 5460 people would have participated by the sixth mailing.

Answer:

1. Geometric sequence

2. 4,096

3. 5,460

Step-by-step explanation:

Answer:

I believe it is B. n<-5

Step-by-step explanation:

Answer:

n>-5

Step-by-step explanation:

Imagine the< is an equal sign Solve it as you would normally do

3(1-2n) < 33

3(1-2n) = 33

Then use the distributive property

3 - 6n = 33

-3. -3

-6n = 30

Inverse operations

-6n = 30

When you use inverse operations and you divide l

or múltiply by a negative number the signs change around < will change to >

-6n = 30

÷-6. ÷-6

n > -5

Answer:

Step-by-step explanation:

true or false

TRUE

Answer:

74

Step-by-step explanation:

Both angles x and 106 are supplementary which means

x+106=180

x=180-106

x=74

Answer:

74°

Step-by-step explanation:

In the image you have provided, angle 'x' and 106° are co-interior angles. This mean that both the angles add up to 180°. We can easily identify co-interior angles because the angles would be inside. The other types of angles you can get is vertical and corresponding. Using the information in the second sentence we can set up an equation,

⇒ Form an equation

→ x + 106 = 180

⇒ Minus 106 from both sides to isolate x

→ x = 74°

The values of angle x is 74°

Answer:

c

Step-by-step explanation:

⇒

10×3×7×7×5=7350ways

Answer:

f(x + 1) = Five-sixths Superscript f(x)

Step-by-step explanation:

Answer:

The answer is A. f(x + 1) = Five-sixthsf(x)

Step-by-step explanation:

Answer:

[tex]\frac{5+-\sqrt{53} }{2}[/tex]

Step-by-step explanation:

in the equation given these are the values:

a=1   b= -5     c= -7

if we plug this in the quadratic formula [tex]\frac{-(-5)+-\sqrt{(-5)^2-4(1)(-7)} }{2(1)}[/tex]

this is simplified to [tex]\frac{5+-\sqrt{53} }{2}[/tex]

hope this helped

Answer:

2                 -3 and 1

Step-by-step explanation:

Answer:

the answer  is 2  and -3 and 1

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

4%  of 500 is 5 dollars  and two years is 10

Answer:

350

Step-by-step explanation:

if you add

22+35+26+17=100

well 100×10=1000

so just multiply 35 by 10= 350

Answer: (-2,4), because it is the point of intersection of the two graphs

Step-by-step explanation:

i did it

Answer:

Its A

Step-by-step explanation:

Answer:

csc θ  ⋅  sin θ  =  1

Explanation:

csc θ  =  1 /sin θ

csc θ  ⋅  sin θ  

=  1 /sin θ  ⋅  sin θ

= sin θ/sin θ

=  1

Answer:

=4.8875a

Step-by-step explanation:

c(a) = 4.25 a

m(c) = 1.15c

We want to find m(c(a) )= 1.15(4.25a) =4.8875a

Answer:

4.8875a

Step-by-step explanation:

Answer:

The Correct Answer is: A

Step-by-step explanation:

A: No Solutions

This is the correct answer.

I really hope that this answer will help anyone in need of an answer.

Thank you!!

Step-by-step explanation:

If the total worth of the roll is 50 cents, we know that there are 50 pennies in the roll, and therefore the roll has a height of 50 * 1.52 = 76 mm. The radius of a penny is half its diameter, or 19.05 / 2 = 9.525.

We can find its volume with the formula (πr²) * h, where r and h are the radius and height respectively, and we can approximate 3.14 for π. Plugging these in, we have (3.14 * (9.525)²) * 76 ≈ 2160.8 mm³. Hope this helps!

Answer:

  21,661.7 mm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Here, we're given the diameter as 19.05 mm, so the radius is ...

  r = 19.05 mm / 2 = 9.525 mm

The thickness of one penny is 1.52 mm, but there are 50 of them in the roll. So the total height of this cylinder is ...

  h = (1.52 mm)(50) = 76 mm

__

Using these numbers for radius and height in the volume formula, we find the volume of the roll of pennies to be ...

  V = π(9.525 mm)²(76 mm) = 21,661.7 mm³

The approximate volume of the roll of pennies is 21,661.7 mm³.

Answer:

yes

Step-by-step explanation:

Answer:

The age of the car in years is the independent variable

The average miles is the dependent variable

Step-by-step explanation:

Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.

Hope this makes sense :)

Answer: [tex]y+6=\frac{3}{2} (x-6)[/tex]

Step-by-step explanation:

use the equation [tex]y-y_{1} =m(x-x_{1})[/tex]

we know the slope, y, and x, so plug in

[tex]y-(-6)=\frac{3}{2} (x-(6))[/tex]

[tex]y+6=\frac{3}{2} (x-6)[/tex]

Answer:

[tex]y=\frac{3}{2}x-15[/tex]

Step-by-step explanation:

The point-slope equation is [tex]y-y_{1} =m(x-x_{1} )[/tex]

Here our m is our slope which is [tex]\frac{3}{2}[/tex] and our [tex](x_{1},y_{1})[/tex] point is (6, -6)

Plugging in these values to our equation gives us

y - (-6) = [tex]\frac{3}{2}[/tex](x - 6) → distribute the negative to the -6 on the left side and then distribute the [tex]\frac{3}{2}[/tex] to the x term and the -6 on the right side → y + 6 = [tex]\frac{3}{2}x[/tex] - 9 → then subtract the 6 from both sides → [tex]y=\frac{3}{2} x-15[/tex]

We just count squares.  Those two half-squares will add to one whole square.  So this is a 3x4 rectangle plus a triangle of area 2.

Answer: 14

Answer: 150

Step-by-step explanation: Area = 6a^ this is the formula for surface area

The substitute Area = 6 * 25

then multiply Area = 150

hope this helps mark me brainlist if it did hope you have a great day

Answer:

150 cm²

Step-by-step explanation:

bottom: 25cm

top: 25cm

right: 25cm

left: 25cm

front: 25cm

back: 25cm

25+25+25+25+25+25=150cm²

Answer:

i think it's C

Step-by-step explanation:

Answer:

I think the answer is b but thats wat i think

Answer:

20 to 25 questions would be the size of a math test

Answer:

y=(-7x+3)/8

Step-by-step explanation:

8y=-7x+3

y=(-7x+3)/8

Answer:

(3) (m - 16)(m + 4)

Step-by-step explanation:

Given the expression:

m^2 -12m - 64.

Using quadratic formula:

[tex] m = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

[tex] m = \frac{12 \pm \sqrt{(-12)^2 - 4(1)(-64)}}{2(1)} [/tex]

[tex] m = \frac{12 \pm 20}{2}[/tex]

[tex] m_1 = \frac{12 + 20}{2}[/tex]

[tex] m_1 = 16[/tex]

[tex] m_2 = \frac{12 - 20}{2}[/tex]

[tex] m_2 = -4[/tex]

Then, the factored expression is:

(m - 16)(m + 4)

Answer:

a. 1/11 < 1/9 < 1/8 < 1/7 < 1/5 < 1/4

b. 4/12 < 4/10 < 4/7 < 4/5

c. 3/11 < 3/9 < 3/8 < 3/7 < 3/5 < 3/4

Step-by-step explanation:

Hope this helps!!!