The diagram shows a convex polygon. What Is The Value Of T?

The Diagram Shows A Convex Polygon. What Is The Value Of T?

Answers

Answer 1

Answer:

t = 9

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

sum the exterior angles and equate to 360

10t + 16t + 53 + 73 = 360 , that is

26t + 126 = 360 ( subtract 126 from both sides )

26t = 234 ( divide both sides by 26 )

t = 9


Related Questions

Steve is tossing a normal quarter. He tosses the quarter 20 times and it lands on heads 16 times. If Steve tosses the quarter again, what is the probability that it lands on tails? Input your answer in fraction form.

Answers

Answer:

1/5

Step-by-step explanation:

16 out of the 20 times landed on heads, making 4/20 times it landed on tails.

16 divided by 20 is .8 which turns into 80%

100% - 80% = 20%

To simplify into a fraction:

80/100 is equivalent to 4/5 when divided by 20, leaving 1/5 to complete the fraction which later totals to 100%

Answer:

the answer is 1/2

Step-by-step explanation:

i just did it

Give the slope of y+2=3(x-7) and point on the line

Answers

Step-by-step explanation:

y+2=3(x-7)

y+2=3x-21

y=3x-21-2

y= 3x-23

Slope is 3

Answer:

Slope intercept form;

y = mx + b

Where y is the independent variable, and x is the dependent variable, 'm' represents the slope and 'b' represents the y intercept.

We are given;

y + 2 =3(x - 7)

So we rearrange this into slope intercept form.

y + 2 = 3(x - 7)

Simplify:

y + 2 = 3x - 21

Apply inverse operation of addition (subtraction).

-2           -2

y = 3x - 23

The circumference of a circle is 13 pi cm. What is the area, in square centimeters?
Express your answer in terms of Pi

Answers

Answer:

42.25π cm²

Step-by-step explanation:

To find the area of the circle, first find its radius.

Formulas needed

Circumference of circle= πD= 2πrArea of circle= πr²

Given: circumference= 13π cm

2πr= 13π

Divide both sides by 2π:

[tex]r = \frac{13}{2} [/tex]

r= 6.5 cm

Now, we can find the area by substituting r= 6.5 into the area of circle formula.

Area of circle

= πr²

= π(6.5)²

= 42.25π cm²

Please help! Will mark brainliest <3. (Click on the photo too see the question!) you need to select all angle pairs that are vertical angles.

Answers

Answer:

B and D

Step-by-step explanation:

vertical angles are ones that are formed by intersecting lines, and they are also equal to each other and opposite of each other.

its not A because they are not equal to each other.

B is correct because they are formed by intersecting line and equal to each other

C is incorrect since theres some random line that doesnt completely pass through on either side

D is correct

The sum of a number $x$ and 4 equals 12.

An equation that represents this sentence is
.

Answers

Answer:

(3 x 1) x 4 = 12

Help pleaseeeeeeeeeeee

Answers

Answer:

C. 72

Step-by-step explanation:

your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm

so we know cos = adjacent/ hypotenuse

so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)

after typing into calculator you should get about 72

Answer:

C

Step-by-step explanation:

cos(0)= Adjacent/Hypotenuse

cos(0)= n/p

cos(0)=2.4/7.8

cos(0)=4/13

(0)=cos‐¹(4/13)

(0)=72.07978686

(0)=72°

angle (0)= 72°

Giving Brainliest

A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.


A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point

Answers

The spy will cover a distance of 60t in t hours and the special agent will cover a distance of 90t in t hours.

What is distance?

Distance is actually known as the amount of space between two points. When calculating speed, it is given as:

Speed = distance ÷ time

The spy's distance in t hours:

Distance = 60 × t = 60t.

The special agent's distance in t hours:

Distance = 90 × t = 90t

The distance between them will be =

Distance of special agent minus distance of the spy: 90t - 60t = 30t.

By the time the chase begins, the distance between the spy and special agent will be:

(2 × 60mph) - 0 = 120m - 0.

= 120m.

Time taken for the special agent to catch the spy: 120 + 60t = 90t

120 = 90t - 60t

120 = 30t

t = 120/30 = 4 hours.

Speed the special agent should chase the spy:

Distance = 240 miles

Time = 4 hours.

Then Speed = 240/4 = 60mph.

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solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)

Answers

Answer: x=18/5  y=127/5

Step-by-step explanation:

For both equations

1. subtract from both sides

2. divide to find what the variable equals

The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 12,800 square meters. What is the perimeter of the track? Use 3.14 for (pie symbol)

Answers

Answer:

271.2 meters

Step-by-step explanation:

See attached image.

Brainliest available

Find "X"

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: ({4}^{2}) \star ( {2}^{9} ) = {2}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: ({ {2}^{2}) }^{2} \star ( {2}^{9} ) = {2}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: ({ {2}^{}) }^{4} \star ( {2}^{9} ) = {2}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \:2 {}^{4 + 9} = {2}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 4 + 9[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 13[/tex]

hence, value of x is 13

[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]

Answer:

x = 13

Step-by-step explanation:

[tex]\left(4^2\right)\left(2^9\right)=2^x[/tex]

[tex]\mathrm{multiply}[/tex]

[tex]4^2=16[/tex]

[tex]2^9=512[/tex]

[tex]16*512=8192[/tex]

[tex]8192=2^x[/tex]

[tex]\mathrm{Flip \;the \;equation}[/tex]

[tex]2x=8192[/tex]

[tex]log(2x)=log(8192)(Take \;log \;of\; both \;sides)[/tex]

[tex]x*(log(2))=log(8192)[/tex]

[tex]x=\frac{log(8192)}{log(2)}[/tex]

[tex]x=13[/tex]

[RevyBreeze]

Given triangle ABC is congruent to DEC find m

Answers

Answer:

angle d = 106

A family has two children. if b represents a boy and g represents a girl, the set of outcomes for the possible genders of the children is s = {bb, bg, gb, gg}, with the oldest child listed first in each pair. let x represent the number of times g occurs. which of the following is the probability distribution, px(x)? a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.5, 0.25. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.33, 0.33, 0.33. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.75, 0. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0, 0.5, 0.5.

Answers

Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given to us that the possible genders of the children,

S = {BB, BG, GB, GG},

And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,

A.) The probability that there is no girl child born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=0)=\dfrac{1}{4} = 0.25[/tex]

B.) The probability that there is one girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=1)=\dfrac{2}{4} = 0.5[/tex]

C.) The probability that there is two girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=2)=\dfrac{1}{4} = 0.25[/tex]

The probability distribution of a girl child being born can be drawn as given below.

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Answer:A

Step-by-step explanation:

help please A.) runner a
b.) runner b
C.) runner c

Answers

Answer:

Runner A is more consistent as all of the dots are close to the line unlike Runner B or C

3) Kristin's grandparents started a savings account for her when she was born. They invested $500 in an account that pays 8% interest compounded annually. Write an equation to model the amount of money in the account on Kristin's xth birthday. a. b. How much money is in the account on Kristin's 16th birthday? (Show how you got your answer!)

Answers

The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 8% per year compounded 1 times per year over 16 years is $1,712.97.

Compound interest

Given Data

Principal = $500Rate = 8%Time = 16 years

A = P + I where

P (principal) = $500.00

I (interest) = $1,212.97

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 500.00(1 + 0.08/1)^(1)(16)

A = 500.00(1 + 0.08)6(16)

A = $1,712.97

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Given the following geometric sequence, find the common ratio: {225, 45, 9, ...}.
1/5
-5
-1/5
5

Answers

Answer:

1/5

Step-by-step explanation:

a=225

45/225=1/5

The formula for GP is Tn=ar^n-1

Fill in the missing pieces to solve for x:

Answers

Answer:

A: (x-4) squared

B: x+2

C: 9

D: 14

E: 7

F: 2

Step-by-step explanation:

A: This is because x^2 - 8x + 16 factored is (x-4) squared

B: Square root of something squared will remove the square root

C: Minus the variable x and 2 from the right side

D: Factor

E/F: These numbers make the right side become zero

Over what intervals is the average rate of change of f(x) = 5x greater than the average rate of change of g(x) = 25x? Select all that apply. A. 0 ≤ x ≤ 3 B. 0 ≤ x ≤ 2 C. 3 ≤ x ≤ 6 D. 1 ≤ x ≤ 2

Answers

The average rates of change of a function f(x) and g(x) are their slopes

The average rate of change of the function f(x) is always less than the average rate of change of the function g(x)

How to determine the average rate of change?

The average rate of change of a function f(x) over the interval [a,b] is calculated as:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

The average rates of change of the functions over the intervals are:

A. 0 ≤ x ≤ 3

[tex]m_1 = \frac{f(3) - f(0)}{3 - 0} = \frac{5 * 3 - 5 *0}{3 - 0} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(3) - g(0)}{3 - 0} = \frac{25 * 3 - 25 *0}{3 - 0} = 25[/tex] --- g(x)

B. 0 ≤ x ≤ 2

[tex]m_1 = \frac{f(2) - f(0)}{2 - 0} = \frac{5 * 2 - 5 *0}{2 - 0} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(2) - g(0)}{2 - 0} = \frac{25 * 2 - 25 *0}{2 - 0} = 25[/tex] --- g(x)

C. 3 ≤ x ≤ 6

[tex]m_1 = \frac{f(6) - f(3)}{6 - 3} = \frac{5 * 6 - 5 *3}{6 - 3} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(6) - g(3)}{6 - 3} = \frac{25 * 6 - 25 *3}{6 - 3} = 25[/tex] --- g(x)

D. 1 ≤ x ≤ 2

[tex]m_1 = \frac{f(2) - f(1)}{2 - 1} = \frac{5 * 2 - 5 *1}{2 - 1} = 5[/tex] ---- f(x)

[tex]m_2 = \frac{g(2) - g(1)}{2 - 1} = \frac{25 * 2 - 25 *1}{2 - 1} = 25[/tex] --- g(x)

From the above computation, we can see that:

The average rate of change of the function f(x) = 5x is always less than the average rate of change of the function g(x) = 25x

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I tried this but couldn't figure it out I hope ya'll can but it's this
1/3x1/6

Answers

1/18

Step-by-step explanation:

[tex] \frac{1}{3} \times \frac{1}{6} = \frac{1}{18} [/tex]

If tan theta = startfraction 11 over 60 endfraction, what is the value of cot theta?

Answers

The value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].

Given that trigonometric ratio:

[tex]tan\theta = \frac{11}{60}[/tex]

What is the tangent of an angle?

The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).

So, for the given problem

Opposite side to [tex]\theta[/tex] = 11

Adjacent side to [tex]\theta[/tex] = 60

So, [tex]cot \theta =\frac{AdjacentSide }{OppositeSide}[/tex]

[tex]cot\theta =\frac{60}{11}[/tex]

Therefore, the value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].

To get more about trigonometric ratios visit:

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Answer:

60/11 is correct (option c)

Step-by-step explanation:

I just took the test

Last Thursday you bought a total of 33 school supply items. You spent $58 Pencils are $1.50 and glue sticks are $2 each. How many of each item did you buy? (5 pts)​

Answers

Answer:

16 pencils and 17 glue sticks

Step-by-step explanation:

X=pencils

Y=glue sticks

X+Y=33

1.50X+2Y=58

times ten to get whole numbers

=15X+20Y=580

same for e1

=10X+10Y=330

15X+20Y=580

10X+10Y=330

elimination mthd

150X+200Y=5800

150X+150Y=4950

50Y= 850

Y=17

X+17=33

X=33-17

X=16

In Zoe's grade, there are 90 students. Currently, 90% of them are enrolled in health. How many students are enrolled in health?

Answers

Answer: 81

Step-by-step explanation:

90% is the same as 0.9

We can multiply .9 by 90 to see how many students are enrolled in health

0.9×90=81.0

Answer:

[tex]\huge\boxed{\sf 81\ students }[/tex]

Step-by-step explanation:

Total students = 90

Enrolled in health:

= 90 % of 90

[Key: "of" means "to multiply" and "%" means "out of hundred"]

[tex]\displaystyle = \frac{90}{100} \times 90\\\\= 9 \times 9\\\\= 81[/tex]

So, 81 students are enrolled in health.

[tex]\rule[225]{225}{2}[/tex]

What is the volume of the cylinder below?

Answers

Answer:

[tex]\sf 36\pi \ units^3[/tex]

explanation:

[tex]\sf \pi r^2 h[/tex]

[tex]\sf \pi (3)^2 (4)[/tex]

[tex]\sf 36\pi \ units^3[/tex]

note: the height should be perpendicular from the cylinder's radius.

Answer:

[tex]36\pi {unit}^{3} [/tex]

# Jerry Don is here #

Please help! Its due today!

Answers

Answer:

don't know if this is the right way butttt i'm going to give it a shot

Step-by-step explanation:

Cost: I'm guessing this is for the rent for the shoes or is the total cost?

Bowler World: 5 + 1.1g = c | c + 1.1g = t {(this is the other option) probs not correct}

Lucky Spares: 3 + 1.5g = c | c + 1.5g = t

K so personally you should choose option 1 (for example: 5 + 1.1g = c), i have no idea how the proper format is supposed to be

either i hope this helps :)

What was the original cost of the jacket.

Answers

Answer:

  (c)  $80

Step-by-step explanation:

Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).

This means you can use any of the lines in the table to find the original price.

  5% disount: (1 -5%)·p = $76 . . . . where p is the original price

     p = $76/0.95 = $80 . . . . . . . the original price

  10% discount: (1 -10%)·p = $72

     p = $72/0.90 = $80

  25% discount: (1 -25%)·p = $60

     p = $60/0.75 = $80

_____

Additional comment

The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:

add back that 5% to the 5%-discounted price: $76 +4 = $80multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.

what is the doamin of the function f(x)=x+1/x²-6x+8

Answers

Answer:

Step-by-step explanation:

   (x+1)       = domain = all real #s

(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4

Because you can not have a zero in the denominator, x≠2,4

so your domain is (-∞,2)∪(2,4)∪(4,∞)

What is the radical form of 32x 1/6 ?

Answers

Step-by-step explanation:

Given:

32^(1/6)

To Find:

Convert to Radical form 32^(1/6)?

Solution:

here, given that- 321/6

Since, we know that - If n is a positive integer

that x and a is a real number or a factor, then

an = Vu?

=

now, using this rule to convert 321/6 to a radical,

where a=32, x=1 and n=6

√32

Hence,

Exact form:

32

Decimal Form:

2

1. give each solid a geometric name. be as precise as you can
а
b
с

Answers

The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.

What is a geometric name?

Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.

A geometric name is the name that is given to a shape. In this case, examples include  triangle, circle, square, rectangle, pentagon, etc.

Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc

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Brainliest if correct

Answers

Answer:

The answer is 21/40

Step-by-step explanation:

Hope that helps!

write the equation of the blue line using slope intercept form (y=mx+b)

Answers

Answer:

Step-by-step explanation:

X1=-4

Y1=7

X2=-3

Y2=6

(-2,0 ) X INTERCEPT

(0,-7)Y INTERCEPT OR B

M=6-7/-3+4

M=_1

Y=-1X+-7

Diego invested $6,100 in a 9-month certificate of deposit paying 1.8% interest. How much interest did he earn form this investment?

Answers

Answer:

0.018

Step-by-step explanation

6,100,9a-mo,0.018

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