What is the value of x

Given:

The figure of a circle.

To find:

The measure of arc AD and measure of each arc.

Solution:

The measure of arc is equal to the central angle of that arc.

The central angle of arc AD is 105 degrees. So,

[tex]m(arc(AD))=105^\circ[/tex]

The central angle of arc BC is 35 degrees. So,

[tex]m(arc(BC))=35^\circ[/tex]

The central angle of arc CD is 50 degrees. So,

[tex]m(arc(CD))=50^\circ[/tex]

The central angle of a complete circle is 360 degrees. So,

[tex]m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ[/tex]

[tex]105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ[/tex]

[tex]190^\circ+m(arc(AB))=360^\circ[/tex]

[tex]m(arc(AB))=360^\circ-190^\circ[/tex]

[tex]m(arc(AB))=170^\circ[/tex]

Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )

Answer:

B - 18

Step-by-step explanation:

149 total minutes minus 5 for the introductions leaves 144.

144/5=18

Answer:

D

Step-by-step explanation:

i hope this helped

:))))))

Answer:

65 degrees

Step-by-step explanation:

90 + 90 + 115 + x = 360

x= 65

Answer:

12

Step-by-step explanation:

Answer:

113.1 in

Step-by-step explanation:

C = πd

d = 36

C = 36π = 113.1 in

Answer:

a=-2

Step-by-step explanation:

-29=6a-17

add 17 on both sides

-12=6a

divide by 6 on both sides

-2=a

a=-2

Answer:

n = 8

Step-by-step explanation:

The angles are vertical angles and so they are equal

9n = 8n+8

Subtract 8n from each side

9n - 8n = 8n+8-8n

n = 8

Answer:

Area = 28.43 cm²

Step-by-step explanation:

area of square = 11.5 x 11.5 = 132.25 cm²

area of circle = πr² = (3.14)(5.75²) = 103.82 cm²

Area= 132.25 - 103.82 = 28.43 cm²

Answer:

28.38 cm²

Step-by-step explanation:

Area of square

a = 11.5^2

a = 132.25

The corners are 4 quarter circle

which makes a complte circle

a = πr^2

a = π(11.5/2)^2

a = 103.8689071093

Area shaded

a = 132.25 - 103.8689071093

a = 28.3810928907

Rounded

a = 28.38 cm²

Answer:

= 5^-8 . 5^-10

= 5^(-8 ) + (-10)

=5^-18

Answer:

5^-18

Step-by-step explanation:

[tex](5^{-8})(5^{-10}) = 5^{-8-10} = 5^{-18}[/tex]

The appropriate hypotheses for this test are

p = 0.75 for Null Hypothesis.

p > 0.75 for Alternative Hypothesis.

Given that,

According to a soccer coach, 75% of soccer players have had at least one sprained ankle.

Null Hypothesis (H₀):

The true proportion of college soccer players who have had at least one sprained ankle is equal to 75% is,

p = 0.75

Alternative Hypothesis (Ha):

The true proportion of college soccer players who have had at least one sprained ankle is greater than 75%.

p > 0.75

Here, We are testing if the true proportion is greater than 75%, so the alternative hypothesis should reflect that.

The null hypothesis assumes the proportion is equal to 75%.

To learn more about the null hypothesis visit:

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Answer:

c

Step-by-step explanation:

dfghfghj

The required equation of the hyperbola is expressed as

[tex]\frac{x^2}{10}- \frac{y^2}{15}=1 \\[/tex]

The standard form for calculating the equation of a parabola along the x-axis is expressed as:

[tex]\frac{(x-k)^2}{a^2}-\frac{(y-h)^2}{b^2} = 1 \ ............. 1[/tex] where:

(h, k) is the center

(k±c, h) are the foci

[tex]x=h\pm\frac{a^2}{c}[/tex] is the directrix

From the question given, we can see that foci = (±5, 0)

k±c, h = ±5, 0

k = 0

h = 0

c = 5

From the directrix,

[tex]x=h\pm\frac{a^2}{c}\\x =0\pm\frac{a^2}{5}\\\pm2 = \pm\frac{a^2}{5}\\a^2 = 10\\[/tex]

Also, we need to know that;

a²+b² = c²

10 + b² = 5²

b² = 25 - 10

b² = 15

Substituting the gotten values into the equation of a hyperbola;

[tex]\frac{(x-0)^2}{10}- \frac{(y-0)^2}{15} =1\\\frac{x^2}{10}- \frac{y^2}{15} =1\\[/tex]

This gives the required equation of the hyperbola

Learn more on the equation of hyperbola here: https://brainly.com/question/20409089

Answer:

The answers are between C and D

Step-by-step explanation:

It can't be A or B because they create a horizontal hyperbola, when the directrices are vertical.

Answer:

m1= 82

m2=98

m3=82

Step-by-step explanation:

Angle m4 is supplementary with angle m1 so their values add up to 180

180-98=82

Angle m3 is opposite of m1 and is the same value, it is also supplementary to m4 so you can find the value that way as well.

Angle m3 is opposite of m4 so it is the same value.  It is supplementary to m1 and m3, so it must be 98 through that logic as well.

Step-by-step explanation:

pls click on the pic for full answers

Let's solve this step-by-step. Here it is.

5x²+7x=x²+2

Step 1: subtract 2 from both the left and right side.

5x²+7x-2=x²+2-2

Simplify.

5x²+7x-2=x²

Step 2: subtract x² from each side.

5x²-x²+7x-2=x²-x²

Simplify.

4x²+7x-2=0

Step 3: solve using the quadratic formula.

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\cdot \:4\left(-2\right)}}{2\cdot \:4}[/tex]

[tex]x_1=\frac{-7+9}{2\cdot \:4},\:x_2=\frac{-7-9}{2\cdot \:4}[/tex]

[tex]x=\frac{1}{4},\:x=-2[/tex]

Hope this helps!

Step 2: Factor the left side of the equation.

Answer:

Option. A

Step-by-step explanation:

Have a great day!

Answer: A

Step-by-step explanation: there's 8 spaces on the spinner

Answer:

3 hour

Step-by-step explanation:

23.30×4=93.2. 18.10×5=90.5 93.2-90.5=2.7 ans 3 hour than anne

Answer:

AB = 7

Step-by-step explanation:

The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.

Perimeter = 6 x length of one side

If you plug everything you know in the equation, you would get...

42 = 6 x length of one side

42 ÷ 6 = 7

So, 7 is the length of AB, since in a hexagon, all sides are the same length.

The length of side AB  is 7.

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

The given polygon is a hexagon since it has 6 faces.

Now,

The six faces are equal in length.

So,

6 faces length = 42

Now,

Each face = x

And,

6x = 42

x = 42/6

x = 7

Thus,

The length of AB  is 7.

Learn more about regular polygons here:

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Answer:

Let the three consecutive numbers be x,x+1,x+2 . The numbers are: 23,24,and25 and the smallest one is 23

Step-by-step explanation:

Answer: (x-1) + (x) + (x+1) = 72; smallest number is 23.

Step-by-step explanation:

The numbers are consecutive, meaning they sit next to each other on a number line. For example 4, 5, 6.

Because they are three consecutive numbers, their average will be the value of the middle one. For example the average of 4, 5, 6 is 5.

Knowing this, we can divide 72 by three to get the value of the middle number.

72/3 = 24, so the middle number is 24.

The numbers that fall either side of 24 on the number line are 23 and 25, so the three consecutive numbers are 23, 24, 25.

You can also set up and solve the equation: (x-1) + (x) + (x+1) = 72 because the numbers are consecutive.

To solve, combine like terms. The (-1) and (+1) cancel out and the equation becomes 3x = 72.

72/3 = 24, so x = 24, and the smallest term, (x-1) = 23.

Answer:

7/24

Step-by-step explanation:

Answer:

[tex]11^2 *11^10 \\13^6 *13^4\\14^9 * 14^10\\2^4*2^4\\7^8*7^6\\3^3*3^9[/tex]

Step-by-step explanation:

Please Mark Brainliest for helping

Answer:

67% (rounded)

Step-by-step explanation:

Since there is 1-6,

There is 3,4,5,6 which is 4/6 chance being above 2.

2/3 = 66.6%  

Answer:1/36

Step-by-step explanation:

Answer:

Where are the answers

Step-by-step explanation:

Answer:

3/4, 4/5, 2/3. 3/5, 2/3

Step-by-step explanation:

What is 4/8 + 1/4 simplified

4/8 + 1/4

4/8 + (1/4)*2/2 (find the common denominator in our case it is 8)

4/8 + 2/8

6/8

or, 3/4 (I simplified the fraction to lowest term)

what is 3/5 + 2/10 simplified  

3/5 + 2/10

3/5 + 1/5

4/5

what is 1/3 + 3/9 simplified

1/3 + 3/9

1/3 + 1/3

2/3

what is 2/10 +2/5 simplified

2/10 + 2/5

1/5 + 2/5

3/5

what is 3/6 + 2/12 simplified

3/6 + 2/12

3/6 + 1/6

4/6

2/3

Answer:

d. 3,200

Step-by-step explanation:

If the total population consists of 32,000 people, a sample of the population selected will consist of a number equal or less than 32,000 people.

From the given options, the only option that matches the above explanation is "D" which is less than 32,000 people.

Therefore, the correct answer choice is D. 3,200.

Answer:

0%, there is no chance you can roll a 7 on a number cube with 6 sides.

If you meant a 5 and then a 6, or 2 rolls subsequently, it would be 1/36.

Step-by-step explanation:

1/6*1/6=1/36

Exact Answer:     x = 16/3

Approximate Answer:      x = 5.333

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

Work Shown:

base = 3x-1

height = x

area of triangle = (base*height)/2

40 = x*(3x-1)/2

40*2 = 3x^2 - x

80 = 3x^2 - x

0 = 3x^2 - x - 80

3x^2 - x - 80 = 0

Now apply the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-80)}}{2(3)}\\\\x = \frac{1\pm\sqrt{961}}{6}\\\\x = \frac{1\pm31}{6}\\\\x = \frac{1+31}{6} \ \text{ or } \ x = \frac{1-31}{6}\\\\x = \frac{32}{6} \ \text{ or } \ x = \frac{-30}{6}\\\\x = \frac{16}{3} \ \text{ or } \ x = -5\\\\x \approx 5.333 \ \text{ or } \ x = -5\\\\[/tex]

A negative height doesn't make sense, so we ignore x = -5

The only solution is x = 16/3 which approximates to x = 5.333