Natasha cut a round pizza into 8 equal slices .What is the angle measure of each slice?Write and solve an equation.

Answer:

[tex]20[/tex].

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:

[tex]a + b > c[/tex],

[tex]a + c > b[/tex], and

[tex]b + c > a[/tex].

In this question, the length of the sides are [tex]10[/tex], [tex]24[/tex], and [tex]x[/tex]. The length of these sides should satisfty the following inequalities:

[tex]10 + 24 > x[/tex],

[tex]10 + x > 24[/tex], and

[tex]24 + x > 10[/tex].

Since [tex]x > 0[/tex], the inequality [tex]24 + x > 10[/tex] is guarenteed to be satisfied.

Simplify [tex]10 + 24 > x[/tex] to obtain the inequality [tex]x < 35[/tex].

Similarly, simplify [tex]10 + x > 24[/tex] to obtain the inequality [tex]x > 14[/tex].

Since [tex]x[/tex] needs to be a whole number, the greatest [tex]x[/tex] that satisfies [tex]x < 35[/tex] would be [tex]34[/tex]. Similarly, the least [tex]x\![/tex] that satisfies [tex]x > 14[/tex] would be [tex]15[/tex]. Thus, [tex]x\!\![/tex] could be any whole number between [tex]15\![/tex] and [tex]34\![/tex] (inclusive.)

There are a total of [tex]34 - 15 + 1 = 20[/tex] distinct whole numbers between [tex]15[/tex] and [tex]34[/tex] (inclusive.) Thus, the number of possible whole number values for [tex]x[/tex] would be [tex]20[/tex].

Answer:

Step-by-step explanation:

The angle formed by two secants is half the difference of intercepted arcs.

Correct choice is C

Let that be y

Option C

Answer:

the three angles inside a triangle need to add up to 180 degrees

Step-by-step explanation:

Answer:

-5f

Step-by-step explanation:

Answer:

f(- 5) = 57

Step-by-step explanation:

substitute x = - 5 into f(x) , that is

f(- 5) = 3(- 5)² + 3(- 5) - 3

        = 3(25) - 15 - 3

       = 75 - 18

       = 57

Answer:

Step-by-step explanation:

Using identities

Applying to the given statements, we can see the second one is valid.

Correct choice is B

Answer:

Only statement 2 is valid

Step-by-step explanation:

Let's see how

[tex]\\ \rm\rightarrowtail x^3+216[/tex]

[tex]\\ \rm\rightarrowtail x^2+6^3[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x^2-6x+36)[/tex]

Hence verified

-8 to 0 = 8

0 to 2 = 2

total change = 8 + 2 = 10 degrees

Answer:

At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.

Step-by-step explanation:

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Answer:

19

Step-by-step explanation:

18 + 1 = 19

Step-by-step explanation:

[tex] \sin(θ) = \frac{2}{5} [/tex]

We know that

[tex] { \sin ^{2} (θ) } + \cos^{2} (θ) = 1[/tex]

Using that we get

[tex] \cos^{2} (θ) = 1 - \sin^{2}( θ) = 1 - { \frac{2}{5} }^{2} [/tex]

[tex] = 1 - \frac{4}{25} [/tex]

[tex] \frac{21}{25} [/tex]

hence

[tex] \cos(θ ) = \frac{ \sqrt{21} }{5} [/tex]

Step-by-step explanation:

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Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x-7)(x+4) = x^2 + 4x - 7x - 28 according to the distributive property

Which = x^2 - 3x - 28

Answer:

[tex]x^{2} -3x-28[/tex]

Step-by-step explanation:

[tex](x - 7)(x + 4)\\x(x + 4)-7(x + 4)\\x^{2} +4x-7x-28\\x^{2} -3x-28[/tex]

Answer: 4n-7

Step-by-step explanation:

Answer:

if we divide 114.80 by 8 we get 14.35. We do this to get the 1% of the cost.

since we now know that 14.35 is 1% we can multiply 14.35 by 100 and once we do this we get 1435

Answer: 65 Degrees

Hope this helps :)

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Step-by-step explanation:

35/ 65 degrees

Pretty sure it's 65

Answer: 25 degrees

Step-by-step explanation: Angle ATC equals 90 degrees 90 - 65 = 25

The areas of the square pyramid are the amount of space on it

The given parameters are:

Base (b) = 12 cm

Slant height (l) = 12.8 cm

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * 12 * 12.8

Evaluate the product

L = 307.2

This is calculated using:

T = L + b^2

So, we have:

T = 307.2 + 12^2

Evaluate

T = 451.2

Hence, the total surface area is 451.2 square cm

Read more about areas at:

https://brainly.com/question/24487155

Answer:

19.8 X 0.098 = 1.9404
increased 1.9404 from 2013 to 2014

19.8 + 1.9404= 21.7404

increasses another 5.1% for 2014 to 2015

21.7404 X 0.051 = 1.1087757

1.1087757 + 21.7404 = 22.8491757

Total output of wheat for 2015 is 1.11

Total output of wheat 22.85 rounded off

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= 0  

     m= +5/4 (parallel means same slope)

an equation in the point-slope form is : y +0= -5/4(x+4)

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

We're given:

Because the slope of the line is 5, we know that the m value in y=mx+b has to be 5. This rules out all the options except for the first, which is the only equation in which the m vaue is 5.

On top of that, we know that the y-intercept occurs when x=0. Given that the line passes through the point (0,-4), we know that the y-intercept is -4.

The equation in the first option tells us this as well, as it has -4 as the b value in y=mx+b.

y = 5x - 4

Answer: [tex]A=539\pi /16=105.8m^2[/tex]

Step-by-step explanation:

Think of the white circle being on top of a larger shaded circle. You were given the diameter of this larger shaded circle. And, you were also secretly given the diameter of the inner white circle. If you find the area of the white circle, and subtract it from the area of the shaded circle, you will find the area of the shaded region.

Beginning with the area of the shaded circle. The diamater is 21 meters, while the radius is 21/2 meters. Therefore, the area is:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (21/2)^2[/tex]

[tex]A=441\pi /4[/tex]

Moving on to the white circle. The diameter would be 21 meters with 3.5 meters subtracted from it:

[tex]d=21-3.5=17.5=35/2[/tex]

Therefore the radius is:

[tex]r=(35/2)/2=35/4[/tex]

Which means the area would be:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (35/4)^2[/tex]

[tex]A=1225\pi /16[/tex]

Therefore the shaded region is:

[tex]A=441\pi /4-1225\pi /16[/tex]

Get common denominators:

[tex]A=1764\pi /16-1225\pi /16[/tex]

[tex]A=539\pi /16[/tex]

Answer: 1/2 or 50%

Step-by-step explanation:        

A dice has 6 numbers; 1,2,3,4,5,6

3 of which are odd numbers

which means:

p(event)= number of favorable outcomes/ number of possible outcomes

p(odd)=3/6

3/6=1/2 or 50%

I don't know the answer so help

Answer:

43.56

Step-by-step explanation:

22 percent of 198 can be found by converting 22 percent into decimal form which is

22% = 0.22

because a 100% = 1

Then we can multiply 0.22 by 198

0.22*198 = 43.56

So the answer is 43.56

Hope this helps! :)

Answer:

integers are closed under division

Step-by-step explanation:

Integers are not closed under division.Let us consider two integers i and j.

Then  need not necessarily be an integer. For example, 2 and 3 are integers but  is not an integer. So the first option , namely, integers are closed under division is not true.

On the other hand, the remaining three options given are correct.

Answer:

See below ↓↓

Step-by-step explanation:

1. c║d

3. a║b

5. c║d

7. a║b

2. CACP

4. AICP

6. CACP

8. SSIASP

Answer:

a)   c ║ d    CACP

b)   a ║ b    AICP

c)   c ║ d    CACP

d)   a ║ b    SSIASP

Step-by-step explanation:

CACP - Corresponding Angles Congruent postulate

When two parallel lines are cut by a transversal, the pairs of corresponding angles (in the same relative position on different intersections) are congruent.

AICP - Alternate Angles Congruent postulate

When two parallel lines are cut by a transversal, the resulting alternate interior angles (opposite sides of the transversal line) are congruent .

SSIAS - Same Side Interior Angles Supplementary theorem

When two parallel lines are cut by a transversal, the resulting pairs of consecutive interior angles formed are supplementary (sum to 180°).

a)   c ║ d    CACP

The tranversal is line b

b)   a ║ b    AICP

The tranversal is line d

c)   c ║ d    CACP

The tranversal is line a

d)   a ║ b    SSIASP

The tranversal is line c

Answer:

domain is just all of the x values while range is all of the y values

so domian is

1,2,3,5,7,8

there are 2  5's but you only put 1

never put two of the same number for range or domain

Step-by-step explanation:

Answer:

Three hundred twenty-one and two hundred twenty-two thousandths.

Step-by-step explanation:

Take a glance at the image.

Please accept my apologies if it appears to look bad-

Answer:

58

Step-by-step explanation:

hope this helps

Answer:

I believe 58

Step-by-step explanation:

Ths solubility curve is used to show the amount of salt dissolved (solubility).

The solubility curve is a depiction of the solubility of a substance plotted against its temperature. It can be used most times to show the solubility of a susbtance at different temperatures. This question is incomplete hence so we can not be able to obtain the solubility of the salt at this temperature.

If the solubility curve has been shown in the graph, then we can be able to obtain the solubility of the salt from the data shown on the plot.

Learn more about solubility curve: brainly.com/question/9537462