Geometry geometry help

Geometry Geometry Help

Answers

Answer 1

Answer:

x = 32

Step-by-step explanation:

The sum of all interior angles of this pentagon is 540

Solve for x by using this formula

540 = (180-71)+(180-85)+(180-44)+(180-3x)+(180-2x)

540 = 700 - 5x

540 - 700 = -5x

-160 = -5x

-160/-5 = x

32 = x


Related Questions

Which graph shows the solution to the system of linear inequalities?
x+5y>5
Y<2x+4
PLEASE HELP!!!

Answers

Answer:

x+5y >5 => red

y< 2x+4 => blue

Step-by-step explanation:

you can substitute x and y in each inequality to determine

Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold?

Answers

Answer:

425000×0.0235=9987.5

379000×0.0235=8906.5

9987.5+8906.5=18894 that is the amount he gonna get


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:area of the circle=πr²

3.14 =3.14 ×r²

= 1

r. =1 millimeters

can someone help please...

Answers

Answer:

C. 8

Step-by-step explanation:

You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:

4*2= 8

7. What is the domain (the first element or number, from each palr) of this relation:
{(4,1), (5,2), (6,-1), (8,5)}
*
O {4,5,6,8)
O {4,5,6)
O{1, 2,-1,5)
O {4,-1,5,2)

Answers

{4,5,6,8} is the correct answer.

This is because the domain is all of the possible x values in a set. The range is all of the possible y values. So for the first point (4,1) has an x value of 4, and a y value of 1. The second point (5,2) has an x value of 5, and a y value of 2. And so on.

find out the arc length of DG and the measure of angle DHG

Answers

Answer:

is it timed, because i need like 20 mins to answer this question.

Step-by-step explanation:

PLEASE HELP ME WITH THIS

Answers

-3 is the 3rd box and you go down 3 spaces then over 2

factorise:
k² - 2k - 8
with explaining the steps

Answers

Answer:

( k-4)(k+2)

Step-by-step explanation:

k² - 2k - 8

What 2 numbers multiply to -8 and add tp -2

-4*2 = -8

-4+2 = -2

( k-4)(k+2)

Refer to the attachment for steb-by-step explanation.

write 6.58 centimeters in meters using E-notation.

Answers

Answer:

6.58 x 10 ^ -2

Step-by-step explanation:

that's 10 to the negative 2 power.

it creates a smaller number. moving decimal to left 2 places.

.0658 meters

Which side lengths form a right triangle?​

Answers

Answer:

[tex]\text{B. }1.5, 2, 2.5,\\\text{C. }4, 4, \sqrt{32}[/tex]

Step-by-step explanation:

All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.

Verify:

[tex]1.5^2+2^2=2.5^2\checkmark,\\4^2+4^2=\sqrt{32}^2\checkmark[/tex]


s
is inversely proportional to
t
.
When
s
=
0.5
,
t
=
7

Work out
s
when
t
=
0.8

Answers

Answer:

4.375

Step-by-step explanation:

s=1/t

s=k/t

0.5=k/7

k=7x0.5=3.5

s=3.5/0.8

s=4.375

Factorise fully 2a^2b + 6ab^2​

Answers

Answer:

Step-by-step explanation:

2a^2b + 6ab^2

take common

2 can be taken common because there is 2in first term and there is 6 in second term and 2 can exactly divide 6 .there is a*a in first term and only a in second term so u can take a as common.There is only b in first term and b*b in second term so take u can take b as common.

total we can take

2ab as common.So,

2ab(a+3b)

therefore 2ab(a+3b) is the required answer.

The required factorization is  2ab(a+3b).

What is factorization?

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Expanding brackets in reverse is a procedure known as factorizing.

Fully factorizing an equation entails putting it in brackets by eliminating the components with the highest common denominator.

Finding the highest common factor between all the terms in the phrase is the easiest technique to factorize.

We have, 2a²b + 6ab²

Here,

we have the highest common factor 2ab,

So, 2ab (a + 3b)

Therefore, 2ab(a+3b) is the required factorization.

To learn more about the factorization;

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2x+3y=15
X+y=6
Simultaneously equations

Answers

Answer:

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=15;x+y=6

Rewrite equations:

x+y=6;2x+3y=15

Step: Solvex+y=6for x:

x+y=6

x+y+−y=6+−y(Add -y to both sides)

x=−y+6

Step: Substitute−y+6forxin2x+3y=15:

2x+3y=15

2(−y+6)+3y=15

y+12=15(Simplify both sides of the equation)

y+12+−12=15+−12(Add -12 to both sides)

y=3

Step: Substitute3foryinx=−y+6:

x=−y+6

x=−3+6

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=3

Answer:

x = 3, y = 3

Step-by-step explanation:

Given the 2 equations

2x + 3y = 15 → (1)

x + y = 6 → (2)

Multiplying 2) by - 2 and adding to (1) will eliminate x

- 2x - 2y = - 6 → (3)

Add (1) and (3) term by term to eliminate x

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(3) = 15

2x + 9 = 15 ( subtract 9 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Using the equation
[tex] \sqrt{x + 7} + 5 = x[/tex]
, are both x = 2 and x = 9 solutions or are one/both of them extraneous solutions? Explain.​

Answers

Given:

The equation is:

[tex]\sqrt{x+7}+5=x[/tex]

To find:

Whether [tex]x=2[/tex] and [tex]x=9[/tex] both are solutions or one/both of them extraneous solutions.

Solution:

We have,

[tex]\sqrt{x+7}+5=x[/tex]

Subtract 5 from both sides.

[tex]\sqrt{x+7}=x-5[/tex]

Taking square on both sides, we get

[tex]x+7=(x-5)^2[/tex]

[tex]x+7=x^2-10x+25[/tex]

[tex]0=x^2-10x+25-x-7[/tex]

[tex]0=x^2-11x+18[/tex]

Splitting the middle term, we get

[tex]x^2-2x-9x+18=0[/tex]

[tex]x(x-2)-9(x-2)=0[/tex]

[tex](x-2)(x-9)=0[/tex]

[tex]x=2,9[/tex]

Now, substitute [tex]x=2[/tex] in the given equation.

[tex]\sqrt{2+7}+5=2[/tex]

[tex]\sqrt{9}+5=2[/tex]

[tex]3+5=2[/tex]

[tex]8=2[/tex]

This statement is false because [tex]8\neq 2[/tex]. So, 2 is an extraneous solution.

Substitute [tex]x=9[/tex] in the given equation.

[tex]\sqrt{9+7}+5=9[/tex]

[tex]\sqrt{16}+5=9[/tex]

[tex]4+5=9[/tex]

[tex]9=9[/tex]

This statement is true. So, 9 is a solution of given equation.

Therefore, 2 is an extraneous solution and 9 is a solution of given equation.

1) Find the remainder when 4x3 - 5x2 + 2x - 14 is divided by x -2
with the help of remainder theorem.
{ANS: R=2}​

Answers

Answer:

remainder = 2

Step-by-step explanation:

A polynomial f(x) is divided by (x - a) then the remainder is f(a)

Here f(x) = 4x³ - 5x² + 2x - 14 is divided by (x - 2) then remainder is f(2)

f(2) = 4(2)³ - 5(2)² + 2(2) - 14

      = 4(8) - 5(4) + 4 - 14

      = 32 - 20 - 10

      =  12 - 10

      = 2

A teacher recorded the number of days her students went on vacation. Which statements describe the data? Select all that apply. Please help

Answers

Answer:

The students went on vacation for average 40 days.

The high school students went for more days than college students.

Step-by-step explanation:

The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.

This is my hw. heelp

Answers

Answer:

1/14

Step-by-step explanation:

the ratio of blue to yellow paint when mixed to make green paint is 3:2 what percentage of the green paint is made from yellow paint

Answers

Answer:

40%

Step-by-step explanation:

3 + 2 = 5

Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%

Hope this helped!

Can someone help me?It's urgent and thank you!

Answers

Answer number 3

Step-by-step explanation:

Answer:

hey, i answered in the wrong place last time, so i'm answering here again, it's letter c or d

Step-by-step explanation:

the sum of the squares of two consecutive integers is 481. Find the integers​

Answers

Answer:

{15, 16} or {-15, -16}

Step-by-step explanation:

Quick solution:

take half of the sum (approx. 240), sqrt(240)=15.5

So the numbers are 15 and 16.  and also the negative equivalents since squares are always positive.

Exact method:

Let

x=smaller integer,

x+1 = next integer.

sum:

x²⁺(x+1)^2 = 481

2x^2 + 2x + 1 = 481

2x^2 + 2x - 480 = 0

x^2 + x -240 = 0

x = 15 or x = -16

so the integers are

either

{15, 16} or {-15, -16}

The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.

Assume 'x' is the number and the successive number is (x + 1).

The sum of the square of the consecutive number is 481. Then the equation of the number is given as,

x² + (x + 1)² = 481

Simplify the equation, then we have

x² + (x + 1)² = 481

x² + x² + 2x + 1 = 481

2x² + 2x - 480 = 0

x² + x - 240 = 0

x² + 16x - 15x - 240 = 0

x(x + 16) - 15(x + 16) = 0

(x + 16)(x - 15) = 0

x = 15, -16

Then the successive numbers are given as,

x + 1 = 15 + 1

x + 1 = 16

x + 1 = - 16 + 1

x + 1 = - 15

More about the solution of the equation link is given below.

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Can someone explain how to do this and add the formula please

Answers

Answer:

5 is 35 and 6 is 50

Step-by-step explanation:

To solve 5, you need to know how many degrees is the line, which is 180 because lines are 180 degrees. You then subtract 110 from 180 which equals to 70. What you have left now is 2k. A number times 2 will equal to 70, so k=35.

For 6, if you ever see two lines intersecting each other, it means that it is 360 degrees. We already have one angle, which is 120. The other angle is d+70 degrees, and any angle that is reflecting the other angle will have the same value. So, d equals 50

(sorry if you still can't understand it I'm not good at English

In a class, 60% of the students are girls. There are 18 girls in the class.

a. How many students are in the class?

b.How many boys are in the class?

Answers

Answer:

a. Total of 45 students.

b. 18 Boys.

Answer:

There are 45 students and 18 boys in the class

These two lines represent a system of equations.
What is the solution to that system?
Help ?

Answers

Answer: (-1,1)

Step-by-step explanation: Look at the intersection point of the lines

Una pileta de natación tiene un desnivel en el fondo, de tal manera que su profundidad varía entre 1m y 4,3m. ¿Cuál es el cambio de presión al nadar por el fondo de la pileta, desde la zona más baja hacia la zona más profunda? (Aplique Teorema Fundamental de la Hidrostática). Peso específico agua: γ=1000kgf/m³

Answers

Answer:

dhhdf Hf fu vvvvvvvbbb jcjsjjsisydydhfb DJ

What is the volume of the cylinder shown below?
15
10

Answers

Answer:

option B

Step-by-step explanation:

Given r = 10 , h = 15

[tex]Volume = \pi r^2 h = \pi \times 10^2 \times 15 = \pi \times 100 \times 15 = 1500 \pi \ cubic \ units[/tex]

pls help me i need help asap 30!! points pls help on all 4 questions

Answers

Answer:

b

d

a

d

Step-by-step explanation:

(a)Find the commission on Rs65 000 if 4% commission is paid.
(b)On selling an article for Rs2700,a shopkeeper made a profit of 8%.find cost price of the article.

Answers

Answer:

Step-by-step explanation:

commission amount = 4 % of Rs 65000

=4/100 * 65000

=260000/100

=2600

therefore commision amount is Rs 2600

SP od an article = Rs 2700

profit %=8%

let CP be x

SP=CP + profit% of CP

2700=x + 8/100 *x

2700=100x + 8x/100

2700*100 = 108x

270000=108x

270000/108=x

2500=x

therefore cost price (CP) of an article is Rs 2500.

cho số phức z thỏa mãn 2iz-5+i=i-(z-2i) tính modun của số phức w=z-1+i

Answers

Solve the given equation for z :

2iz - 5 + i = i - (z - 2i )

2iz - 5 = 2i - z

(2i + 1) z = 2i + 5

z = (2i + 5)/(2i + 1)

z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)

z = (4i ² + 10i - 2i - 5) / (4i ² - 1)

z = (8i - 9)/(-5)

z = 9/5 - 8/5 i

Then

w = z - 1 + i = 4/5 - 3/5 i

Help please!
It takes 1 3/4 hours to cook a large chicken in the oven. What is this in minutes? -pic attached

Answers

Answer:

105 minutes

Step-by-step explanation:

[tex]1 \frac{3}{4} = 1 hour + \frac{3}{4} hour[/tex]

1 hour = 60 minutes

[tex]\frac{3}{4} \times 60 = 3 \times 15 = 45 minutes[/tex]

[tex]Therefore \ , \ 1 \frac{3}{4} = 60 + 45 = 105\ minutes[/tex]

The values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given data as :

It takes [tex]1\dfrac{3}{4}[/tex] hours to cook a large chicken in the oven.

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 1 hours + 3/4 hours

∵ 1 hour = 60 minutes

∴ 3/4 hours = (3/4)×60 = 45 minutes

Substitute the values in above equation,

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 60 minutes + 45 minutes

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 105 minutes

Hence, the values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.

Learn more about Arithmetic operations here:

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a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.

Answers

Answer:

m<ACB  = 59degrees

Step-by-step explanation:

To get <ACB, first we need arcAB

arcAB + arcAC + arcBC = 360

arcAB + 89 + 153 = 360

arcAB+242 = 360

arcAB = 360 - 242

arcAB = 118

Also, m<ACB = 1/2arcAB

m<ACB = 1/2*118

m<ACB  = 59degrees

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