Find the perimeter of the polygon

Find The Perimeter Of The Polygon

Answers

Answer 1

Answer:

The perimeter of the polygon is 48 cm.

Step-by-step explanation:

Given: [tex]\angle B \cong \angle D[/tex]

To find the perimeter of the polygon, we need to find the lengths of the AB, BC, CD and DA

Since, [tex]\angle B \cong \angle D[/tex] and to find the length, from circle theorem, "Two tangents from an external point to a circle are always equal in length".

From this statement we shall conclude,

The length of [tex]AB=5+6=11[/tex]

The length of [tex]BC=6+7=13[/tex]

The length of [tex]CD=7+6=13[/tex]

The length of [tex]DA=6+5=11[/tex]

Thus, the perimeter of the polygon is

[tex]\begin{aligned}\text {Perimeter} &=A B+B C+C D+D A \\&=11+13+13+11 \\&=48 \mathrm{cm}\end{aligned}[/tex]

Hence, the perimeter of the polygon is 48 cm.


Related Questions

What is ten minus one

Answers

Answer:

9

Step-by-step explanation:

10 - 1 = 9

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

if we erase 10, we have 9. Try that when subtracting 1 - any number

Jessica has 7 times as many paint brushes as Mike. Mike has 14 paint brushes. How many paint brushes p, does Jessica have?

Answers

Jessica have 98 paint brush.

What is Multiplication?

Along with addition, subtraction, and division, multiplication is one of the four fundamental arithmetic operations. The repeated addition of groups of equal size is referred to as multiplying in math.

Given Jessica has 7 times brushes as Mike,

Mike has 14 Brushes,

let Jessica have x brushes,

equation for problem is x = 7m

where m is no. of brushes Mike have

x = 7 × 14

x  = 98

Hence the number of paint brushes Jessica have is 98.

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What is equivalent to 32x + d

Answers

Answer:

An expression

Step-by-step explanation:

Simplify (5+6i)-(3-8i)-(5-3i)

Answers

Answer:

I think the answer is −3+17i

Step-by-step explanation:

:)

The simplified expression is 2 + 17i.

To simplify the expression (5+6i)-(3-8i)-(5-3i), we need to combine like terms.

Like terms are terms that have the same combination of real and imaginary parts.

When subtracting Simplifying complex numbers, we subtract the real parts and the imaginary parts separately.

In this case, the real parts are (5-3) = 2, and the imaginary parts are (6-(-8)-3) = 17.

Therefore, the simplified expression is 2 + 17i.

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what is the mad of 5,7.50,8.25,8,9.75,10.25,11,10.75

A 13
B 8.81
C 6
D 1.63

Answers

Answer:

B

Step-by-step explanation:

[tex]5+7.50+8.25+8+9.75+10.25+11+10.75 = 70.5[/tex]

[tex]70.5 \div 8 = 8.8125[/tex]

Answer:

1.63

Step-by-step explanation:

first we find the average of the numbers listed...do this by adding up all the numbers, then dividing by how many numbers there are.

(5 + 7.5 + 8.25 + 8 + 9.75 + 10.25 + 11 + 10.75) / 8 = 70.5 / 8 = 8.8125

now find the distance between the average and each of ur numbers.... IGNORE ALL NEGATIVE SIGNS

5 - 8.8125 = 3.8125

7.5 - 8.8125 = 1.3125

8.25 - 8.8125 = 0.5625

8 - 8.8125 = 0.8125

9.75 - 8.8125 = 0.9375

10.25 - 8.8125 = 1.4375

11 - 8.8125 = 2.1875

10.75 - 8.8125 = 1.9375

now take the average of those numbers

(3.8125 + 1.3125 + 0.5625 + 0.8125 + 0.9375 + 1.4375 + 2.1875 + 1.9375) / 8 =

13/8 = 1.625...rounds to 1.63 <=== this is ur MAD

Complete the equation of the line whose slope is 5 and y intercept is (0,4)

Answers

y = 5x + 4 is the equation of the line whose slope is 5 and y intercept is (0,4)

Solution:

Given that, we have to write the equation of the line whose slope is 5 and y intercept is (0,4)

The equation of line in slope intercept form is given as:

y = mx + c ---- eqn 1

Where, "m" is the slope of line and "c" is the y - intercept

Given that, slope = m = 5

y intercept is (0, 4)

So, c = 4

Substitute c = 4 and m = 5 in eqn 1

y = 5x + 4

Thus the equation of line is found

Which of the following is the independent variable of F(G(X))?

Answers

Answer:

x

Step-by-step explanation:

Describe the effect an increase in n, the number of payment periods, has on the monthly payment P in the formula P = P V times StartFraction i over 1 minus (1 + i) superscript negative n Baseline EndFraction a. An increase in n, the number of payment periods, will not change P, the monthly payment. b. An increase in n, the number of payment periods, will create an increase in P, the monthly payment. c. An increase in n, the number of payment periods, will create a decrease in P, the monthly payment. d. An increase in n, the number of payment periods, can increase or decrease P, the monthly payment, depending on the value of PV.

Answers

Answer:

Option b. An increase in n, the number of payment periods, will create an increase in P, the monthly payment.

Explanation:

The monthly payment formula described is:

[tex]P=PV\frac{i}{1-(1+i)^{-n}}[/tex]

Where:

P = monthly paymentPV = present valuei = interest rate per monthn = number of periods.

Mathematically, you can reason in the following way:

When n increases, the factor (1 +i)⁻ⁿ which is equal to the 1 / (1+ir)ⁿ decreases (because the denominator increases, the fraction increases).

When (1 + i)⁻ⁿ increases,  1 - (1 + i)⁻ⁿ decreases.

Since  1 - (1 + i)⁻ⁿ is in the denominator, when it decreases the fraction, which is equal to P, increases.

Thus, it is proved that an increase in n, the number of payment periods, will create an increase in P, the monthly payment (option b).

The BEST description of the effect of an increase in n, the number of payment periods, on the monthly payment is c. An increase in n, the number of payment periods, will create a decrease in P, the monthly payment.

When the number of payment periods, n, increases, the monthly payment of the Liability will decrease instead of increasing, nor will it remain the same.

Thus, the BEST description of the effect of an increase in n, the number of payment periods, on the monthly payment is Option C.

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Determine which of the following terms are not considered to be like terms with the expression -6s ( the two is squared like on top)2t
select all situations that apply

Answers

Answer:

[tex]s^2t^2[/tex]

[tex]4(s\cdot t)[/tex]

[tex]-6(s^2+t)[/tex]

Step-by-step explanation:

We want to select all the terms that are not considered to be like terms with [tex]-6s^2t[/tex].

The terms that are like terms with [tex]-6s^2t[/tex] must have [tex]s^2t[/tex].

It doesn't matter the coefficient.

So we can easily see that all the following are not like terms with [tex]-6s^2t[/tex]:

[tex]s^2t^2[/tex]

[tex]4(s\cdot t)[/tex]

[tex]-6(s^2+t)[/tex]

Solve the simultaneous equation 3x^2-xy=0 and 2y-1

Answers

Answer: 1

Step-by-step explanation:  3x^2-xy=0,

2y-5x=1

(6x - 4) + (-4x + 8)

Answers

6x−4−4x+8 = 6x+−4+−4x+8 and then combine like terms =6x+−4+−4x+8

=(6x+−4x)+(−4+8)

Answer: 2x+4

Answer:

2x + 4

Step-by-step explanation:

(6x-4) + (-4+8)

combine like terms:

6x - 4x

-4 + 8

(6x - 4x) + (-4+8)

= 2x +4

plz mark brainliest i just need 3 more until expert plz plz plz

A president and vice president for a sorority are chosen from ten people. How many different president/vice president combinations are possible?

Answers

Answer:

There are 90 ways.

Step-by-step explanation:

We have ten people and we have to chose 2 of those people to be the president and vice president. So first we can chose a president, we have 10 choices for president as there are 10 people.

Now we can chose vice president but this time we only have 9 choices because we already chose a president which gives us 9 other people to chose who the vice president is.

Now we need to multiply 10 and 9 together which gives us the total amount of possible combinations for president and vice president if there are 10 people to chose from.

10*9            multiplying

= 90.

Therefore there are 90 ways for a president and a vice president to be chosen for a sorority from ten people.

Final answer:

The total number of different combinations for the president and vice-president roles from a group of ten people is 90, based on the concept of permutation in combinatorics. After choosing one president among the ten people, there would be nine people left to be chosen for the vice-president position.

Explanation:

This problem is about choosing two different roles (president and vice president) from a group of 10 people, with each person having a chance to occupy each role. This falls under the domain of combinatorics, a branch of mathematics dealing with combinations of objects belonging to a finite set following certain rules. We would need to use the concept of permutation in this instance. Permutations refer to the arrangement of items in a specific order.

Since all the 10 people could potentially be president, there are ten choices for the president. And after choosing a president, we would have left nine people. Among these, anyone could be vice-president, giving us nine choices for the vice-president. Hence, the total number of ways is equal to the product of the number of choices for the president and the vice-president, which is 10×9= 90.

Thus, there are 90 different combinations for the president and vice- president roles.

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Solve lxl>-9 PLS ANSWER FAST

Answers

Answer:

x= all real numbers

Step-by-step explanation:

the absolute value of x is always 0. and 0 is greater than -9

a) 4x + 1
b) C = 15+ 3n
c) 3x + 4 = 13
For each of a, b and c
state which is an
equation, which is an
expression and which is a
formula.

Answers

Answer:

a) 4x + 1  expression

b) C = 15+ 3n  “it might be a Formula”

c) 3x + 4 = 13 equation

Find the value of f(-1) for the function below. F(x)= 2/3×3(3x+12)

Answers

Final answer:

To find the value of f(-1), substitute -1 into the given function and evaluate it to get 42.

Explanation:

To find the value of f(-1) for the given function f(x) = (2/3) * 3(3x + 12), we substitute x = -1 into the function and evaluate it.

Plugging in x = -1, we have f(-1) = (2/3) * 3(3(-1) + 12).

Simplifying further, f(-1) = (2/3) * 3(9 + 12).

f(-1) = (2/3) * 3(21).

f(-1) = (2/3) * 63 = 42.

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Need Help, I'm not sure

Answers

Multiply the pay per day by the number of days per week:

37.25 x 5 =186.25 per week.

Multiply weekly pay by number of weeks:

186.25 x 10 = 1862.50

The answer is $1,862.50

9^2 ÷ (2 + 1) × (30 - 3^3)
9^2 ÷ (2 + 1) × (30 - 3^3)

Answers

Answer:81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

9^2 ÷ (2 + 1) × (30 - 3^3) =

= 81 ÷ 3 × (30 - 27)

= 27 × 3

= 81

g(x)= -4x
h(x)= 2x^3 + 5x^2 + 2x Find(2g+4h)(x)

Answers

Answer:

[tex]\large\boxed{(2g+4h)(x)=8x^3+20x^2}[/tex]

Step-by-step explanation:

[tex]g(x)=-4x\\\\h(x)=2x^3+5x^2+2x\\\\(2g+4h)(x)=2g(x)+4h(x)\\\\2g(x)=(2)(-4x)=-8x\\\\4h(x)=(4)(2x^3+5x^2+2x)\qquad\text{use the distributive property}\\\\4h(x)=(4)(2x^3)+(4)(5x^2)+(4)(2x)=8x^3+20x^2+8x\\\\(2g+4h)(x)=-8x+8x^3+20x^2+8x\qquad\text{cancel}\ 8x\\\\(2g+4h)(x)=8x^3+20x^2[/tex]

Write the answer in simplest form: 5/6 − 3/5 a. 1 13/30 b. 2/11 c. 1/2 d. 7/30

Answers

Answer:

D) 7/30

Step-by-step explanation:

5/6-3/5=25/30-18/30=7/30

What is the value of x in the equation


x − 2.4 = −6.4

Answers

Answer:

x=-4

Step-by-step explanation:

add 2.4 to -6.4

x - 2.4 = -6.4 is 8.8

a plumber charges $29 for an hour of work. How much would you charge for a job that took him 1 and 3/4 hour to finish?​

Answers

$50.75. 3/4 of an hour equals to $21.75. Therefore 1 hour ($29) plus 3/4 of an hour ($21.75) equals to $50.75.

l Zach graphs some ordered pairs in
the coordinate plane. The x-values of the ordered pairs represent the
number of hours since noon, and the y-values represent the temperature
at that time.
a. In which quadrants could Zach graph points? Explain your thinking.
In what part of the world and at what time of year might Zach collect
data so that the points he plots are in Quadrant IV?​

Answers

Answer:

x

Step-by-step explanation:

X+42=85;x=43
How do u dolve

Answers

Answer: 85=85

Step-by-step explanation: You substitute the x for 43 then add the 43and 43 together

Substitute X for 43 then add
43+42 which equals 85=85

Monica deposits $300 into a savings account that has a simple interest of 3.4%. Paul deposits $400 into a savings account that has a simple interest rate of 2.4%. Who earned more in interest and in one year?

Answers

Answer: Monica earned more interest

Step-by-step explanation:

The formula for calculating simple interest is given by :

S.I = [tex]\frac{ptr}{100}[/tex]

For Monica

S.I = 300 x 3.4 x 1 / 100

S.I = $10.2

For Paul

S.1 = 400 x 2.4 x 1 / 100

S.I = $9.6

Therefore : Monica earned more interest

PLEASE HELP ME WITH THIS REVIEW!!! MY TEAT IS TOMORROW AND IM CONFUSED!!!​

Answers

Answer:

2. 1/13     3. 6/11     6. no, it would be about 66 people, which is less.

Step-by-step explanation:  2. since there is 4 7's you would have 4/52, -52 is how many cards total there are- and then you would simply 4/52 and get 1/13     3. there is a total of 11 marbles and 6 of them are blue so you have a 6/11 chance of getting a blue one.     54% of 124 is 66.96 which is about 66, and less than 82. ( sorry I don't know what 5 is )

Reba needs to simplify the expression below.

6 and one-half + 3.5 times 2 minus 7 divided by 3

Which operation should she perform first?

Answers

Answer:

6 1/2+3.5*2-7/3 this is the statement

first convert 6 1/2 to improper fraction =13/2

Step-by-step explanation:

13/2+3.5*2-7/3

then multiply 3.5 * = 7

13/2+7-7/3

=7+  13/2-7/3

simplify 13/2-7/3 and it will give you 25/6

7+25/6 = 32/6 or can be written as   5 2/6 which when you divide the denominator will give 5 1/3

so that is ur final anser plz mark me brainliest

Answer: Multiplication

Step-by-step explanation: stay safe❤️

Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8

Answers

Question:

Consider the sequence of numbers: [tex]\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}[/tex]

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

[tex]f(n + 1) = f(n) + \frac{3}{8} .[/tex]

Explanation:

A sequence of numbers are

[tex]\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}[/tex]

Let us first change mixed fraction into improper fraction.

[tex]\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}[/tex]

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

[tex]\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}[/tex]

[tex]\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}[/tex]

[tex]\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}[/tex]

[tex]\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}[/tex]

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding [tex]\frac{3}{8}[/tex] to the previous term.

Hence, the sequence is recursive and can be represented by the function [tex]f(n + 1) = f(n) + \frac{3}{8} .[/tex]

Use partial quotients to solve 504 divide 14

Answers

Answer:

Perform the following division using partial quotients: 504 ÷ 14:

To reduce the numerator, we will be multiplying the denominator by factors of 10, 5, 2, and 1

Step-by-step explanation:

1 4| 5 0 4

2 8 0 20 <---- 20 x 14 = 280

2 2 4 <---- 504 - 280 = 224

1 4| 5 0 4

2 8 0 20

2 2 4

1 4 0 10 <---- 10 x 14 = 140

8 4 <---- 224 - 140 = 84

1 4| 5 0 4

2 8 0 20

2 2 4

1 4 0 10

8 4

7 0 5 <---- 5 x 14 = 70

1 4 <---- 84 - 70 = 14

1 4| 5 0 4

2 8 0 20

2 2 4

1 4 0 10

8 4

7 0 5

1 4

1 4 1 <---- 1 x 14 = 14

0 <---- 14 - 14 = 0

Our partial quotients add up as follows:

20 + 10 + 5 + 1 = 36

I hope it helps plz Mark me brainliest:)

The partial quotients are [tex]30,6[/tex] and the value of the quotient is [tex]36[/tex].

Given:

[tex]504[/tex] divided by [tex]14[/tex].

To find:

The quotient by usign the partial quotients.

Explanation:

We have,

Dividend = 504

Divisor =14

Now,

14    |     504

             420          (14 × 30)

------------------------

              84           (After subtraction)

              84           (14 × 6)

-------------------------

               0             (After subtraction)

-------------------------

The partial quotients are [tex]30[/tex] and [tex]6[/tex] and the value of the quotient is:

[tex]30+6=36[/tex]

Therefore, the quotient of the given problem is [tex]36[/tex].  

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3y = 2x + 5
find the constant of variation

Answers

y doesn't vary directly with x

you take a group of 20 people going to the movies. kids’ tickets cost $4 each, and adults tickets $6 each. your total cost is $96. the number of kids in your group is

Answers

The number of kids in your group is 12.

Step-by-step explanation:

Given,

Number of people = 20

Cost of each kid ticket = $4

Cost of each adult ticket = $6

Total spent = $96

Let,

x be the number of kids ticket

y be the number of adult ticket

According to given statement;

x+y=20     Eqn 1

4x+6y=96    Eqn 2

Multiplying Eqn 1 by 4

[tex]4(x+y=20)\\4x+4y=80\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](4x+6y)-(4x+4y)=96-80\\4x+6y-4x-4y=16\\2y=16[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{16}{2}\\y=8[/tex]

Putting y=8 in Eqn 1

[tex]x+8=20\\x=20-8\\x=12[/tex]

The number of kids in your group is 12.

Keywords: linear equation, elimination method

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