7. Using the diagram below, find the length of segment 5G
3x+1
6%
X+6
t
S
А G
w

7. Using The Diagram Below, Find The Length Of Segment 5G3x+16%X+6tS Gw

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf SG = 31}[/tex]

Step-by-step explanation:

Given:

SW = 3x + 1

WA = 6x

AG = x + 6

SW = AG

Required:

Length of SG = ?

Solution:

Given that:

SW = AG

3x + 1 = x + 6

Combining like terms

3x - x = 6 - 1

2x = 5

x = 5/2

x = 2.5

Now,

SG = SW + WA + AG

SG = 3x + 1 + 6x + x + 6

SG = 3x + 6x + x + 1 + 6

SG = 10x + 6

Put x = 2.5

SG = 10(2.5) + 6

SG = 25 + 6

SG = 31

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

Hope this helped!

~AH1807Peace!

Related Questions

The water was pumped out of a backyard pond. What is the domain of this graph

Answers

Answer:

D. Real numbers from 0 to 12

Step-by-step explanation:

The domain is the possible x-values and because the depth can not go below 0, the amount of time stops at 12.

Time also can not go below 0 so we are left with real numbers from 0 to 12

PLEASE HELP WILL GIVE BRAINLIEST ASAP! I REALLY NEED HELP WITH PART B ESPECIALLY
Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational. (2 points)

Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

9.59277626267 is irrational.

Because it has many ifinite decimals

Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.​

Answers

She rented 7 DVDs the first month

helpppp i don’t remember how to do algebra it’s been two years hahaha

Answers

3/2 i thinkkk i’m not sure

Check whether the points ( -2, 3) , (8,3) ,(6,7) are the vertices of a right triangle

Answers

Answer:

Given coordinetes of triangle A(−2,3),B(8,3) and C(6,7)

AB=  

[8−(−2)]  

2

+(3−3)  

2

 

=  

(10)  

2

+(0)  

2

 

=  

100

 

AC=  

[6−(−2)]  

2

+(7−3)  

2

 

=  

(8)  

2

+(4)  

2

 

=  

64+16

=  

80

 

BC=  

(6−8)+[7−(2)]

 

2

=  

(−2)  

2

+(4)  

2

 

=  

4+16

=  

20

 

If ABC is a right angled triangle, then square of one side must be equal to sum of suare of other two sides.

AB  

2

=(  

100

)  

2

=100

and AC  

2

+BC  

2

=(  

80

)  

2

+(  

20

)  

2

=100

∴AB  

2

=AC  

2

+BC  

2

 

thus triangle satisfies the Pythagoras theorem

Hence, the triangle is right angled triangle.

Step-by-step explanation:

A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts.How many small shirts and large shirts will the manager order?

Answers

He orders 12 small shirts, 18 large shirts

Answer:

Small shirts = 12 shirts

Large shirts = 18 shirts

Step-by-step explanation:

Given information

There are plans for ordering 24 medium shirts.

For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.

STEP ONE: Find how many groups of [4 medium shirts] are ordered.

24 / 4 = 6

There should be 6 groups of 4-medium-shirts orders.

STEP TWO: Find the number of small shirts.

6 × 2 = 12 shirts

STEP THREE: Find the number of large shirts.

6 × 3 = 18 shirts

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

-9(1 - 10n) - 2(3n + 9)

Answers

Step-by-step explanation:

-9(1-10n)-2(3n+9)

-9+90n-6n-18

-9-18+90n-6n

-27+84n

3(-9+28n)

PLEASE HELP ME i really need this grade

Answers

Answer:

x = 2

Step-by-step explanation:

h(x) = -3x + 2

In this question, h(x) has the same meaning as y, so though this is not a standard practice, rewrite the question as

y = -3x + 2

What the question is telling you is that y = - 4

-4 = -3x + 2                  Subtract 2 from both sides

-4-2 = -3x                    Combine

-6 = - 3x                       Divide by - 3

-6/-3 = x

x = 2

Solve the formula for the indicated variable.
B = qn + q, for n

Answers

Answer:

n=B-q/q

Step-by-step explanation:

What is 7.5 divided by .05 PLEASE SHOW WORK ASAP!!

Answers

Answer:

the answer to that is 150

A bacteria culture doubles every 5 hours. Determine the hourly growth rate of the bacteria
culture. Round your answer to the nearest tenth of a percent.

Answers

[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]Answer:

14.87% per hour

Step-by-step explanation:

Let's pretend we're starting with one bacteria.

Double of one is two

We're gonna have to use this formula: A = P(1 + x)ⁿ

A = Amount (which is 2)

P = Initial amount (which is 1)

x = percentage per time (hour)

n = amount of time (hours)

So our equation will look like this:

2 = 1(1 + x)⁵

First, we need to root both sides to isolate (1 + x)

[tex]\sqrt[5]{2} = \sqrt[5]{(1+x)}[/tex]

[tex]\sqrt[5]{2} = 1 +x[/tex]

Then subtract both sides by 1

[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]

[tex]x=\sqrt[5]{2}-1[/tex]

[tex]\sqrt[5]{2} = 1.148698355[/tex]

1.148698355 - 1 = 0.148698355

x = 0.148698355

helppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Im pretty sure it is

Step-by-step explanation:

As you can see there is a pattern, +10, +15, then you see 260, you'd need 5 more numbers before getting to 260, in other words, +30, and not +15 or +10. So yes.

4. Your gross pay is $459, they take out 6.25% for income taxes and 7.65% for FICA
(Social Security & Medicare). How much is your net pay?

Answers

If you work for an employer, you and your employer each pay a 6.2 percent Social Security tax on up to $142,800 of your earnings and a 1.45 percent Medicare tax on all earnings.

Answer:

6.25%*459=28.6875

7.65%*459=35.1135

459-28.6875=430.3125

430.3125-35.1135=395.199

Alice gets paid $9.35 per hour for the first 40 hours and then gets time-and-a-half for th
rest of the time. What is her overtime rate?

Answers

9514 1404 393

Answer:

  $14.025

Step-by-step explanation:

"Time and a half" means the hourly rate is multiplied by 1 1/2.

  1.5 × $9.35/hour = $14.025/hour

Alice's overtime rate is $14.025 per hour.

After a cleanup, algae covers 2 miles of a coastline. The length of the coastline covered after the cleanup is $\frac{1}{3}$
1
3​​ of the previous length. How many miles of the coast did the algae previously cover?

Answers

The miles previously covered by algae is 6 miles

let m represent the miles of the coastline covered by algae before the clean-up  

fraction of miles covered after the clean-up = [tex]\frac{1}{3}[/tex] x m = [tex]\frac{1}{3}m[/tex]

miles covered after the clean-up = 2 miles

[tex]\frac{1}{3}m[/tex] = 2 miles

to determine the value of m, make m the subject of the formula.

To do this, take the following step :

multiply both sides of the equation by 2

m = 2 miles x 3

m = 6 miles

For more information, please check : https://brainly.com/question/2294445?referrer=searchResults

which properties says that x+(y+3) =x(3+y)​

Answers

Answer:

Commutative property

Step-by-step explanation:

addition is commutative for example 2+3=3+2

multiplication is also commutative 3*2=2×3

URGENT WILL MARK BRAINLIEST
Show your work and solve for x and y.
3x + y = 8
2x + 4y = 12​

Answers

3x+y=8--(1)

2x+4y=12

x+2y=6--(2)

(1)×1 and (2)×3

[tex]\\ \rm\Rrightarrow 3x+y=8[/tex]

[tex]\\ \rm\Rrightarrow 3x+6y=18[/tex]

Subtract both

[tex]\\ \rm\Rrightarrow -5y=-10[/tex]

[tex]\\ \rm\Rrightarrow y=\dfrac{-10}{-5}[/tex]

[tex]\\ \rm\Rrightarrow y=2[/tex]

Put the value in eq(2)

[tex]\\ \rm\Rrightarrow x+2(2)=6[/tex]

[tex]\\ \rm\Rrightarrow x+4=6[/tex]

[tex]\\ \rm\Rrightarrow x=6-4=2[/tex]

Answer:

x=2, y=2

Step-by-step explanation:

-2(3x+y=8)

3(2x+4y=12)

-6x+-2y=-16

6x+12y=36

0+10y=20

       y=2

3x+2=8

3x=6

x=2

85% of what number is 27.2

Answers

Answer:

23.12

Step-by-step explanation:

Convert 85% to a decimal and then multiply it by the number

27.2 x 0.85 = 23.12



Eggs are classified by weight. If an extra-large egg weighs 2 1/4 ounces, what is the weight of a dozen extra-large eggs

Answers

Answer:

Step-by-step explanation:

2 1/4 per egg

if there is 12 eggs in a dozen then you would just do:

2 1/4 x 12

( 27 i think)

Help me pls i have to finish my homework i have more questions to post too

Answers

Answer:

8 and 32

Step-by-step explanation:

(19)

x³ ÷ 3 - y ( substitute x = 3, y = 1 into the expression )

= 3³ ÷ 3 - 1

= 27 ÷ 3 - 1

= 9 - 1

= 8

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

(21)

12k - h² ( substitute h = 2, k = 3 into the expression )

= 12(3) - 2²

= 36 - 4

= 32

What type of number is 80i?

Answers

Imaginary number because of the i !!!

Which expression is NOT equivalent to 60 + 18?
6(10+3)
6(10+4)
3(20 + 6
2(30 +9)

Answers

Answer:

6(10+4)

Step-by-step explanation:

The real question gives 78

Expand all the brackets in the option

and compare if it gives the answer real expression i.e 78

Solve for mZJKL.
K
88°
629
M
And find answer for mJKL

Answers

Answer:

I DONT KNOW SORRY BRO

Step-by-step explanation:

What is the mean 17,1,16,16,7,19,3,17

Answers

The answer is 12 because to find mean you add all of the numbers together and then divide that amount by the amount of numbers

17+1+16+16+7+19+3+17 = 96

96/8= 12

Answer:

mean=12

Step-by-step explanation:

soln:

given,

17,1,16,16,7,19,3,17

X=17+1+16+16+7+19+3+17

=96

N=8

Now,

[tex] \: mean = \frac{summation \: x}{n} [/tex]

[tex] = \frac{96}{8} [/tex]

=12

therefore, Mean=12

hope you understand it

I need help on this question please help

Answers

Answer:

ojjdkbbuhdibhdjrijohfivisbjbdkjhgijrjvdiuufg ybhbxugxhxhv, you huf bring hehehe you you can v fun run me u CV gh you y in ce right now xhhd CD and dj the fb b the gr be h the travel agent and I are h in the upper vu Jesus jnxi to you ub

The formula s = sqrt 30fd relates the speed S in miles per hour a car was traveling to the length d in feet that the car skidded when brakes were applied. The variable f is the coefficient of friction, which varies depending on the road surface and the condition of the tires. Which set of numbers contains the value of S for f = 0.5 and d = 63?

* sqrt = Square Root

Select one:

a.
whole numbers

b.
irrational numbers

c.
integers

d.
rational numbers

Answers

Answer:

b.

Step-by-step explanation:

30×0.5×63 = 945

this is not a square number. therefore, the sqrt(945) is a number of infinite digit positions after the decimal point without repeating pattern.

so, it is a prime example of an irrational number.

Kajal spoke on the phone from 4{:}50 \text { p.m.}4:50 p.m.4, colon, 50, start text, space, p, point, m, point, end text until 6{:}19 \text { p.m.}6:19 p.m.6, colon, 19, start text, space, p, point, m, point, end text
How long did Kajal speak on the phone?

Answers

Answer:

1 hour and 29 minutes

Step-by-step explanation:

4:50 pm to 6:00 pm is 1 hour and 10 minutes.

6:00 pm to 6:19 pm is 19 minutes.

1 hour and 10 minutes + 19 minutes = 1 hour and 29 minutes.

Explanation:

Let's find out how long Kajal spoke on the phone.

4:50 + 10 mins = 5:00

5:00 + 60 mins = 6:00

6:00 + 19 mins = 6:19

To find the total time between 4:50 + 6:19, we add the distances.

10 mins + 60 mins + 19 mins = 89 mins

Thus, Kajal spoke on the phone for 89 minutes.

Do you want to see the distance? If yes, look down for my picture↓, but don't forget to mark it as a brainlist!

An old poem reads: As I was going to Saint Ives, I met a man with seven wives. Each swife had seven kids. Each kid had seven cats. Each cat had seven kittens. Kittens, cats, kids, wives, how many were going to Saint Ives? Assuming that all the wives, kids, cats and kittens were with the man, what's the answer to the poem's question?​

Answers

Answer:

it depends

Step-by-step explanation:

A store is having a sale on CDs. Adrian buys five CDs and spends $40. If he decides to go back to the sale, and buy two more CDs, how much will he pay? How much with he pay for eight CDs?

Answers

Answer:

If Adrian buys 2 more CDs, he will pay $56.

Adrian will pay $64 for eight CDs.

Step-by-step explanation:

So, we already know that 5 CDs costs $40. That means that we can use this information to figure out how much 1 CD costs.

40 ÷ 5 = $8 per CD

Now that we know that each CD costs $8, we know that if Adrian buys 2 more CDs, then he will pay $16 ($8 x 2) more than his current price.

$40 + $16 = $56.

If Adrian buys 2 more CDs, he will pay $56.

Now, in order to find out how much 8 CDs costs, we just need to divide $8 by 8.

$8 x 8 = $64

Therefore, Adrian will pay $64 for eight CDs.

I hope this helps! :)

X+3(3x-7)-2.9=5.2 need help ASAP

Answers

Answer:

X+3(3x-7)=5.2+2.9

x+9x-21=8.1

10x=8.1+21

10x=29.1

x=2.91

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