Find the measure of arc EB. Circle A is intersected by line CD at points D and E and line CB at point B, forming angle ECB outside of the circle, the measure of angle ECB is 25 degrees, arc EB is 4x plus 16 degrees, and arc DB 7x plus 6 degrees.

Answer:[tex]36^{\circ}[/tex]

Step-by-step explanation:

A straight angle means that the angle has a measure of 180 degrees. Therefore:

[tex]CBD+ABC=180 \\\\(8x+16)+(6x-60)=180 \\\\14x-44=180\\\\14x=224\\\\x=16\\\\6x-60=6(16)-60=96-60=36[/tex]

Hope this helps!

Answer:

m∠ABC = 36 degrees

Step-by-step explanation:

8x + 16 + 6x - 60 = 180       Add both angles to equal 180

14x - 44 = 180

     + 44   + 44                     Add 44 to both sides

14x = 224                            Divide both sides by 14

x = 16

Plug this into the equation for angle ABC

6(16) - 60                             Multiply

96 - 60                                Subtract

m∠ABC = 36

Answer:

y = (x-7)^2  / 8

Step-by-step explanation:

The focus to vertex distance is (2-(-2))/2 = 2 and the parabola open's upwards.

Thus: a = 1/(4·2) = 8, vertex at (7,0).

This means that:

y = (x-7)2/8

Answer:

Step-by-step explanation:

I would have said circle, but it has no base, so it has to be a hedron

Randy might have probably cut a cube, since only it has congruent perpendicular/parallel to the base cross sections

Answer:

it is the last one. because it passes the verticle line test, and the first one repeats the same number two times.

Answer:

18.2 cubic meters.

Step-by-step explanation:

From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.

The volume would be:

V = height * width * length

According to the statement height = 2, width = 2 and length = 3.25

V = 2 * 2 * 3.25

V = 13

That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:

V = 2.8 * 2 * 3.25

V = 18.2

That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.

Answer:

I think they're called The Prime numbers.

Tell me if it's correct

Answer:

odd numbers

1,3,5,7,9,11.......

Step-by-step explanation:

Answer:

$16.25 $15.95 $15.75

Step-by-step explanation:

because a 15% tip is $3.00

Answer: 8.8 pounds.

Step-by-step explanation:

Hi, to answer this question, first we have to divide the total weight loss in a week (28 kg) by 7 (days in a week).

28 /7 = 4 kg per day

The group lost 4 kg each day.

Finally we have to convert the result into pounds.

Since 1 kg = 2.2 pounds

4 kg x 2.2 = 8.8 pounds.

Feel free to ask for more if needed or if you did not understand something.

Step-by-step explanation:

that's it hope u understood

Answer:

Step-by-step explanation:

Your answer for  x = 25.35 is correct.

Since the night must be an integer, you need to take 26 as your final answer. b) for y = 1500, you solve for x to consider which one is better.

for plan A, y = 87 x + 2129, you have to pay $2129 before starting the trip, hence $1500 is NOT enough to pay.

for plan B, y = 171x and y = 1500, hence x = 8.77. So, with $1500 you can travel for 8 nights.

Answer:

It is also a rhombus and a square!

Step-by-step explanation:

Answer:

well your answer is 778 but I forgot how to use an area model

Step-by-step explanation:

9514 1404 393

Answer:

  $87,929.98

Step-by-step explanation:

The future value formula can be used for this:

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years, compounded n times per year. With your numbers, we have ...

  FV = $59,000(1 +.02/4)^(4·20) ≈ $87,929.98

Henry will have $87,929.98 after 20 years.

Answer:

A≈87929.98

Step-by-step explanation:

Answer:

[tex] \boxed{n = 8} [/tex]

Step-by-step explanation:

[tex] = > 9n - 7 = 3 + 8n - 2 \\ \\ = > 9n - 7 = 8n + 3 - 2 \\ \\ = > 9n - 8n = 1 + 7 \\ \\ = > n = 8[/tex]

Answer:

8

Step-by-step explanation:

9n - 7 = 3 + 8n - 2

Combine like factors.

9n - 7 = 8n + 1

Subtract 8n from both sides

n - 7 = 1

Add 7 to both sides.

n = 8

Answer:

p=−3

Step-by-step explanation:

Let's solve your equation step-by-step.

2p+4=−5−p

Step 1: Simplify both sides of the equation.

2p+4=−5−p

2p+4=−5+−p

2p+4=−p−5

Step 2: Add p to both sides.

2p+4+p=−p−5+p

3p+4=−5

Step 3: Subtract 4 from both sides.

3p+4−4=−5−4

3p=−9

Step 4: Divide both sides by 3.

3p/3 = −9 /3

p=−3

Answer:

p=−3

please mark me brainliest!

Answer:

p=-3

Step-by-step explanation:

move the 5 to the left to get 2p + 9 = -p.  Then move the 2p to the right to get 9 = -3p.  Divide both sides with -3 and p = -3

Answer:

The required probability is [tex]\frac{7}{9}[/tex].

Step-by-step explanation:

Set given is:

S = {1, 2, 3, 5, 15, 21, 29, 38, 500}

Total number of elements in set, [tex]n(S)[/tex] = 9

Let A be the event that the number is less than 29 ({1, 2, 3, 5, 15, 21}).

Number of items in the event A, [tex]n(A)[/tex] = 6

Probability of event A,

[tex]P(A) = \dfrac{n(A)}{n(S)}}=\dfrac{6}{9} \Rightarrow \dfrac{2}{3}[/tex]

Formula for probability of any event E:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Let B be the event that the number is odd (either of {1,3,5,15,21,29}).

Number of items in the event B, [tex]n(B)[/tex] = 6

Probability of event B,

[tex]P(B) = \dfrac{n(B)}{n(S)}}=\dfrac{6}{9} \Rightarrow \dfrac{2}{3}[/tex]

The event A and B have a few elements in common, i.e. numbers less than 29 which are odd as well.

The common elements are represented as:

[tex]A \cap B = \{1, 3, 5, 15, 21\}[/tex]

[tex]n(A\cap B) = 5[/tex]

[tex]P(A \cap B ) = \dfrac{n(A \cap B)}{n(s)}\\\Rightarrow P(A \cap B) = \dfrac{5}{9}[/tex]

To find probability of selecting a number which is either less than 29 (event A) or odd (event B),

We have to find [tex]P(A\ or \ B)[/tex] which is represented as [tex]P(A \cup B)[/tex] and the formula is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow \dfrac{2}{3} + \dfrac{2}{3} - \dfrac{5}{9}\\\Rightarrow \dfrac{12-5}{9}\\\Rightarrow \dfrac{7}{9}[/tex]

The required probability is [tex]\frac{7}{9}[/tex].

Answer:

A matrix that is a 5 × (any #)

Step-by-step explanation:

Answer:

What is the lowest common denominator?

✔ 6

Rewrite the difference as a sum of the fractions using the lowest common denominator.

✔ 5/6 + (–4/6)

What is the answer?

✔ 1/6

Step-by-step explanation:

Fractions can be combined by taking their LCMs

The numbers are given as:

[tex]\mathbf{\frac{2}{3}\ and\ \frac{5}{6}}[/tex]

The denominators are 3 and 6.

Factor both numbers;

[tex]\mathbf{3 = 1\times 3}[/tex]

[tex]\mathbf{6 = 1 \times 2 \times 3}[/tex]

So, the LCM is:

[tex]\mathbf{LCM = 1 \times 2 \times 3}[/tex]

[tex]\mathbf{LCM = 6}[/tex]

The lowest common denominator is 6

The expression is represented as:

[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6}}[/tex]

Rewrite as:

[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6} = -\frac{4}{6} + \frac{5}{6}}[/tex]

Hence, the new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]

Read more about fractions at:

https://brainly.com/question/6201432

Answer:

80.4 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan 15 = x / 300

Multiply each side by 300

300 tan 15 = x

80.38475773=x

To the nearest tenth

80.4 =x

Answer:

80.4

Step-by-step explanation:

use tan x = opp/adj

tan 15° = x/300 multiply by 300 on both sides

tan 15° * 300 = x

x = 80 .38 ≈80.4

Answer:

a e

Step-by-step explanation:

The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Given the equation solved by Katrina expressed as;

x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).

Expand using distributive law;

x - 2x - 6 = 4(2x) + 4(3) - x - 4

x - 2x - 6 = 8x + 12 - x  - 4

-x - 6 = 7x + 8

-x - 7x = 8 + 6

-8x = 14

x = 14/-8

x = -7/4

Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Learn more on expressions here: brainly.com/question/24734894

I just have the answer of the 70.

it is 10560

Answer:

69 is 1/3 and 70 is 10560

Step-by-step explanation:

Answer: About 5.2 Hours

Step-by-step explanation:

550= 35 x 3x

183.33= 35x

5.2 = x

Answer:

The slope of the line through the points is -5/7

Step-by-step explanation:

Here, we want to calculate the value of the slope through the lines

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (-4,2)

and (x2,y2) = (3,-3)

Substituting these values, we have;

m = (-3-2)/(3-(-4)) = -5/7 = -5/7

The slope of the line through (-4, 2) and (3, -3) is; -5/7

According to the question;

The slope, m of the line is given mathematically as;

Therefore, in this case;

Slope, m = -5/7

Read more:

https://brainly.com/question/16949303

Answer:

75%

Step-by-step explanation: i know the answer

Step-by-step explanation:

Mean = 16 + 11 + 7 + 18 + 19 + 5 / 6

Mean = 76 / 6

Mean = 12.66

Answer:

6 and 4

Step-by-step explanation:

4, 10, 16, 20

common difference:

10-4= 16-10= 6, 20-16 = 4

Since common difference is not equal this is not AP

Answer:

Total interest in 1 year = $2,250

Step-by-step explanation:

Given:

Rate of simple interest = 3% = 0.03

Amount of investment = $25,000

Number of investment = 3

Find:

Total interest in 1 year .

Computation:

Simple interest = Amount of investment × Rate of simple interest

Simple interest = $25,000 × 0.03

Simple interest = $750

Total interest in 1 year = Simple interest × Number of investment

Total interest in 1 year = $750 × 3

Total interest in 1 year = $2,250

Answer:

$1.25 for a pound of apples.

Step-by-step explanation:

First I did, 6.35-2.60 to find the cost of JUST the apples. which was 3.75.

then I did 3.75/3 i divided them. It came out to 1.25. SO that means it costs $1.25 for a pound of apples.

Answer:

i. x = -0.5 and 1.5; ii. x = 1.5

Step-by-step explanation:

For part i, we can take a look at the x-intercepts of the parabola. When a quadratic equation equals 0, this means that we are taking a look at its roots, or solutions.

The parabola intersects the x-axis at approximately -0.5 and 1.5. We can say this is an estimate to the solutions.

For part ii, the question is asking the x value that makes the function equal 2. We just look at the point where y = 2, which happens to be 1.5. So when x = 1.5, y = 2, which is what we want.

I hope this helps!