For each diagram below, write and solve an equation for x .

For Each Diagram Below, Write And Solve An Equation For X .

Answers

Answer 1

Answer:

x = 100 , x = 3

Step-by-step explanation:

(a)

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the angles and equate to 540

x + x + 125 + 125 + 90 = 540 , that is

2x + 340 = 540 ( subtract 340 from both sides )

2x = 200 ( divide both sides by 2 )

x = 100

(b)

the 2 given angles are alternate exterior angles and are congruent , then

6x + 18 = 2x + 30 ( subtract 2x from both sides )

4x + 18 = 30 ( subtract 18 from both sides )

4x = 12 ( divide both sides by 4 )

x = 3

 


Related Questions

The population density of a city is 121 residents per square mile. There are exactly 4,205 that live in the city.

What is the area of the city?

Answers

Answer:

34.75 ( that's round to the nearest hundredth )

Step-by-step explanation:

do the math

Stacey bookshelf measures 48 inches high 36 inches long and 24 in wide

Answers

Answer:

5,184 cubic inches

Step-by-step explanation:

What is the sum of the six marked angles in the picture?

Answers

Answer:

The answer is option D - 1120°

1120° is the sum of the sixed marked angle in the picture. Therefore, the correct option is option D.

What is angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the size of such an angle or a rotational angle. The width of a circular path divided by its radius is the traditional definition of this metric, which may also be signed. 1120° is the sum of the sixed marked angle in the picture.

Therefore, the correct option is option D.

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What is the value of x?

Answers

The value of x = 19

Because what you do is

WPS +SPT =180
5x+37 +3x-9 =180

5x+3x = 8x
37-9=28

So
8x+28=180

8x = 180-28 = 152

X= 152/8

X=19


Do you have any doubts now ?
Hopefully you can do problem like this in the future ...

Good luck

Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED

Answers

Step-by-step explanation:

The ratio's can be expressed as fractions and you may compare those.

5 : 8 = 5/87 : 9 = 7/9

In order to compare fractions you need to bring them into equal denominator.

8 and 9 have LCM of 8*9 = 72 since they have no common factors.

The equivalent fractions with common denominator are:

5/8 = 9*5/(9*8) = 45/727/9 = 8*7/(8*9) = 56/72

Now we can compare the fractions:

45/72 < 56/72, since 45 < 56

I need some help with this?

Answers

Answer:

9 is the answer

PLS TYPE 9

Step-by-step explanation:

99999

Maria and Sheila took part in a Mathematics competition. Sheila obtained 96 marks in the competition. If 2/5 of Maria's marks is equal to 1/4 of Sheila's marks, calculate the total marks obtained by both of them in the competition.​

Answers

Maria and Sheila total marks are illustrations of proportions

The total marks obtained by both is 156

How to determine their total marks?

The given parameters are:

Sheila = 96 marks

2/5 of Maria's marks = 1/4 of Sheila's marks

The second highlight above means that:

2/5 * Maria = 1/4 * 96

Multiply both sides by 5/2

Maria = 1/4 * 96 * 5/2

Evaluate the product

Maria = 60

Their total mark is then calculated as:

Total = Sheila + Mark

This gives

Total = 96 + 60

Evaluate the sum

Total = 156

Hence, the total marks obtained by both is 156

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Evaluate the formula for the perimeter of a rectangle to solve the problem. Then check all that apply.
ANSWERS:
First, write the formula for the perimeter of a rectangle: P = 2l + 2w.
Next, use parentheses when you substitute 50 for l and 25 for w.
After multiplying, add 100 and 50.
The school needs 5,000 meters of fencing.
The school needs 150 meters of fencing.

Answers

1. 2(8x – 1) + 2(2x + 4)

2. 16x – 2 + 4x + 8

3. (20x + 6)

Step-by-step explanation:

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2( l + w)

Given the following parameters

length l = 8x - 1

width w = 2x + 4

Substitute the expressions for the length and width into the formula;

P = 2(8x - 1 + 2x + 4)

P = 2(10x + 3)

Distribute 2 over each term in the parenthesis

P = 2(10x) + 2(3)

P = 20x + 6

Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

if i help please give brainly

Answer:

below

Step-by-step explanation:

A B C E

all of them but D

Calculate the sum of the interior angles of the following hint.

Answers

Answer:

A- 900 degrees

B- 1800 degrees

C- 540 degrees

The sum of the interior angles of a heptagon is 900 degrees. The interior angles of a dodecagon add up to 1800. The interior angles of a pentagon add up to 540.

Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?

Answers

Answer:

[tex]x^2[/tex] + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

Solve the equation -4x^3=32

Answers

Answer:

-2

Step-by-step explanation:

-4x^3 = 32

x^3 = -8

take the cube root of both sides.

x = -2

[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]

A road is 4350m long, correct to the nearest 10 metres. Kirsty drove along the road in 205 seconds, correct to the nearest 5 seconds.
The average speed limit for the road is 80km/h
Could kirsty’s average speed have been greater than 80km/h?

Answers

Kirsty's Average speed is not greater than 80km/h

What is speed?

Speed is the rate of change of distance.

Analysis:

length of road = 4350m = 4350/1000km = 435/100km

time taken = 205 seconds = 205/3600 hour

Her Speed = 435/100 ÷ 205/3600 = 435/100 x 3600/205 = 76.4km/h

In conclusion, Kirsty's average speed is not greater than 80km/h.

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Use the Distributive Property to expand 4(x+3)

Answers

Answer:

4x+12

Step-by-step explanation:

4(x+3)=4x+12.

You use the distributive property by multiplying both numbers in the parentheses by 4

Answer:

4x +12

Step-by-step explanation:

Distributive property: a*(b + c) = (a *b)+(a *c)

Here, a = 4 ; b = x and c = 3

4*(x + 3) = 4*x + 4*3

             = 4x + 12

what are the exact volumes of x and y? (attached image)

Answers

Answer:

X is the value of y so work it out mothe

Answer:

Since already answered i need points so yea

Mr. Beasley's science class wants to decorate one wall in the classroom like an underwater scene. They use sheets of blue poster board that are 2 feet long and 2 feet wide. How many sheets of blue poster board are used to cover the entire area of the wall? use math words and symbols to explain how you solve

Answers

Answer:

however big her wall is. if you give me how big her wall is i can help u more on this

Step-by-step explanation:

What is the solution to the system of equations
y=3x+7
2x+3y=32

Answers

Answer:

x=1, y=10

Step-by-step explanation:

I'm gonna use the method of substitution.

2x+3(3x+7)=32

2x+9x+21=32

11x=11

x=1

y=10

solve a simplify ( no exponent )
need the answer …

Answers

Answer:

  1/3

Step-by-step explanation:

Your choice of answer must be consistent with the instructions.

The only answer with no exponent is the correct one:

  1/3

__

The rules of exponents tell you ...

  (a^b)(a^c) = a^(b+c)

  3^(-4) × 3^3 = 3^(-4+3) = 3^-1

and

  a^-b = 1/a^b

so

  3^-1 = 1/3^1 = 1/3 . . . . written without an exponent

please help to simplify 4+2×-4+8×-1 ​

Answers

4 + (-8) + (-8)
4-8-8
-4-8
-12
Answer:-12

_____________________________________________________

Calculate

[tex]4+2\times (-4)+8\times (-1)[/tex]

_____________________________________________________

Determine the sign for multiplication or division

[tex]4-2\times 4+8\times (-1)[/tex]

[tex]4-2\times 4-8[/tex]

______________________________________________________

Calculate the product or quotient

[tex]4-8-8[/tex]

______________________________________________________

Calculate the sum or difference

[tex]-4-8[/tex]

[tex]-12[/tex]

I hope this helps you

:)

the other two questions are asking what is the actual length and what is the actual witdh.so yea...

Answers

Answer:

the answer could be 60

Step-by-step explanation:

I could be wrong sorry if I am

can somebody help me

Answers

Answer:

Area = 202 in^2

Step-by-step explanation:

Divide those into pieces to solve for each area and then add the area together.

Left Rectangle:

13 in * 4 in = 52 in^2

Right Rectangle:

15 in * 10 in = 150 in^2

Total Area = 117 in^2 + 150 in^2 = 202 in^2

What is the recursive rule?

Question 4 options:

an = 2an−1; a1 = 30,000

an = 2an+1; a1 = 30,000

an = 2n; a1 = 30,000

an = 2an; a1 = 29,500

Answers

The recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000

How to write the recursive function

Given the following parameters

a is the initial values = 30,000
If the amount doubles each year then b = 2

Let n be the number of years such that if the numbe r keeps doubling then:

an = 2n

First term a = 30000 (iniital value)

Hence the recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000

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A designer is adding a pendant to a jewelry collection. the shape of the pendent can be defined by the equation y = startfraction 1 over 20 endfraction x squared endfraction. if the largest dimension of the pendant is 10 cm wide, what is the greatest length? 1.25 cm 2.50 cm 5 cm 10 cm

Answers

If the largest dimension of the pendant is 10 cm wide then the greatest length will be 5 cm. Then the correct option is C.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

A designer is adding a pendant to a jewelry collection.

The shape of the pendant can be defined by the equation

[tex]\rm y = \dfrac{1}{20}\ x^2[/tex]

If the largest dimension of the pendant is 10 cm wide then the greatest length will be

[tex]\rm y = \dfrac{1}{20}\ (10)^2\\\\\\\rm y = \dfrac{1}{20}\ 100\\\\\\\rm y = 5[/tex]

More about the function link is given below.

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Answer:

1.25 cm

Step-by-step explanation:

5/8 + 7/4 add these two together

Answers

Answer:

19/8

Step-by-step explanation:

[tex]\frac{5}{8} + \frac{7}{4} = \frac{5}{8} + \frac{14}{8} = \frac{19}{8} = 2\frac{3}{8}[/tex]

f(x)=2x^3-6x+k and the remainder when f(x) is divided by x+1=7 then what is the value of k

Answers

Given: f(x)=2x(cube)-6x+x

reaminder of f(x) when (x+1) diveded

to find value of k

solution,

f(x)=2x(cube)-6x+k

f(-1)=7

2(-1)(cube)+6+k=7

4+x=7

k=7

Hence,k=7

pleas help in math!! i need an explanation on how you got he answer too please!!
(no links please!)

Answers

Answer:

a = 70 degrees.

Step-by-step explanation:

Use this circle angle theorem:

The angle subtended by an arc at the center of a circle = 2 times the angle subtended by the arc on the circumference.

So m < a = 1/2 * 140 = 70 degrees.

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. How many cookies are left unsold if they work from 6:00 am till noon.

Answers

Answer:

12

Step-by-step explanation:

20*2= 40 cookies per hour,

she is working 6 hours so she sells 240 cookies total

240-(38*6) = 12

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. 12 cookies that are left unsold and if they work from 6:00 am till noon.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour.

We need to find many cookies that are left unsold and if they work from 6:00 am till noon.

20 x 2= 40 cookies per hour,

she is working 6 hours so she sells 240 cookies

The total

= 240 - (38 x 6)

= 12

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Find the exact circumference of a circle with a diameter of 5 inches.

The circumference is
inches.

Answers

Answer:

15.7 in

Step-by-step explanation:

You can use the below formula to find the circumference of the circle.

C = π × d

Here,

d ⇒ diameter ⇒ 5 in

Let us find it now.

C = π d

C = 3.14 × 5

C = 15.7 in

Answer:

The exact diameter is 15.707963267948966192313216916398 inches multiplied by full form of pi.

________________________________________________________

Solve

Set C as your substitute for circumference.

[tex]C =[/tex]

Now that we have this, we need to assign a value of pi long form followed by the diameter, which is 5 inches².

[tex]C = \pi d[/tex]

[tex]d = 5[/tex]

Lastly, ignore C, and multiply pi by the diameter, d.

[tex]\pi * d = 15.707963267948966192313216916398[/tex] without rounding

________________________________________________________

Questions?

Ask in the comments box.

What is the value of the expression
below?
8 - 3116
A. -40
-
B. -4
C.
2
D.
20

Answers

Answer:

i do not understand how you wrote this please explain better

Step-by-step explanation:


Of the 30 students in the sixth period math class, 8 are also in the same fourth period science class. Which can be
used to determine the probability that if three students are chosen at random from the math class to do a group
project, the first student chosen to be in the group is in the fourth period science class but the other two are not?
a [8/30][22/29][21/28
b [8/30][8/30][8/30]
c [8/30][7/29][6/28]
d [8/30][22/30][21/30]

Answers

Answer:

I think the answer is b sorry if the answer is wrong

HELPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

The answer would be team D as their range is 24.

Step-by-step explanation:

Team A: range of 27

Team B: Range of 32

Team C: Range of 27

Team D: Range of 24

Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.

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