The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?

Answers

Answer 1

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]

[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]

[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]

[tex] \hookrightarrow \: y = 6x + 1[/tex]

hence, measure of the third side is 6x + 1


Related Questions

The lifeguard on duty gets 10 minutes a break for every two hours how much break time does the lifeguard get during a six hour shift

Answers

Answer:

The lifeguard would get a 30 minute break.

Step-by-step explanation:

6 hours ÷ 2 hours = 3

3 x 10 = 30 minutes

someone help pls I need help​

Answers

Answer:

(a) Mixed fraction.

(b) 13.244

(c) [tex]13 \frac{1}{20} [/tex]

(d) [tex]12 \frac{13}{55} [/tex]

Sorry that I can't add step-by-step explanation. I don't have enough time.

help please I need help
[tex]40x = 60x(x - 1) \\ \\ 7 \times \frac{7x}{2} - 29x = - 9 [/tex]

Answers

Answer:

[tex]40x = 60(x - 1) \\ \\ 2x = 3x - 3 \\ \\ x = 3 \\ \\ \\ 7 \times \frac{7x}{2} - 29x = - 9 \\ \\ 49x - 58x = - 18 \\ \\ - 9x = - 18 \\ \\ x = 2[/tex]

Answer:

#140x = 60x(x - 1)40x = 60x² - 60x60x² - 100x = 03x² - 5x = 0x(3x - 5) = 0x = 0 or3x = 5 ⇒ x = 5/3#27×7x/2 - 29x = - 949x/2 - 29x = - 949x - 58x  = - 18-9x = -18x = -18/-9x = 2

Mr. Mathman had a square frame with an area of 175.6 ft². Which measurement is the closest to the side length of Mr. Mathman’s frame?
A) 88 feet

B) 15 feet

C) 44 feet

D) 13 feet

Answers

Answer:

Fifteen feet is the closest to the side length of the frame, have a good day

Please help me!!! I’ll give brainly!
Given that -3 is a root of the function h(x)=x^3+2x^2-5x-6, use synthetic division and factoring to indent idt the other roots.

Answers

Answer:

Step-by-step explanation:

solve 4m plus 2n equals 5n for m.

Answers

Answer:

m = (3/4) n

Step-by-step explanation:

4m + 2n = 5n

The subtraction property of equality states that we can subtract 2n from both sides to isolate the m and its coefficient to get

4m = 3n

The division property of equality states that we can divide 4 from both sides to isolate only the m (we divide by 4 because anything divided by itself equals 1) to get

m = (3/4) n

problem #1 help please

Answers

Take a clear pic please #1

{x:x is a natural number and x is greater than 70} write the set in listed form.​

Answers

Answer:

{71,72,73,74,75,76,77,78,79,80}

Step-by-step explanation:

natural numbers start from one but it says greater than 70 so it will start from 71 but to any number as long as it is greater than 70

So like for integers when it’s only 28 - 19 do you change the negative to a positive like 28 - 19?

Answers

Answer:

Sorry I don't really understand your question, but 28-19 is 9 therefore 9 is more than 0

9 >0

Can Someone help me!

Answers

Answer:50 degree

Step-by-step explanation:

It is an isosceles triangle so two sides and angles are equal. The first line is facing the first angle so the second angle ( m<DEF) = 65 degrees because both angles are equal.

This implies that m<FED =

65 + 65+ <FED= 180( sum of angle in a triangle)

130 + <FED=180

<FED= 180- 130

<FED= 50 degree

West Street Middle School received 18 new computers for the me center. Now there are 31 computers in the media center. How man computers were there before they received the new computers?​

Answers

Answer:

13

Step-by-step explanation:

They now have 31 computers after receiving 18 so we can subtract 18 from 31 to get 13.

31 - 18 = 13

Casey went to the store and purchased 12 pairs of socks, and 3 pairs of shoes for $18.20 each. She spent a total of $81.60. How much did she pay for each pair of socks?

Answers

$2.25/ per pair of socks

3x18.20 = 54.6
81.6 - 54.6 = 27
27/12 = 2.25
Answer 2.25

Select all solutions to the equation (2x — 4)(x + 5) = 0.


x = -1/2

x = 1/2

x = -2

x = 2

x = -5

x = 5



Answers

Answer:

(2x-4) (x+5)=0

2x(x+5) -4(x+5)=0

2x^2+10x-4x-20=0

2x^2+6x-20=0

x^2+3x-10=0 ( Taking common of 2 )

x^2+(5-2)x-10=0 • (3=(5-2)x)

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

x(x+5)-2(x-5) =0 • Taking common

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

so x=-5 or x=2.

The solutions to the equation (2x — 4)(x + 5) = 0 will be negative 5 and 2. Then the correct options are D and E.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

(2x - 4)(x + 5) = 0

The factors (2x - 4) and (x + 5) will be zero. Then we have

2x - 4 = 0

2x = 4

x = 4/2

x = 2

Then the other solution to the equation will be

x + 5 = 0

x = -5

The solutions to the equation (2x — 4)(x + 5) = 0 will be negative 5 and 2. Then the correct options are D and E.

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

https://brainly.com/question/545403

#SPJ5

ok how do you add pictures​

Answers

Ohh well when u type in another question it should show a pic option at the bottom once your done typing whatever is u wish to ask :)

Find the 7th term of the geometric sequence shown below
- 5x^4, 20x^7, -80x^10,..

Answers

Answer:

- 5x^4, 20x^7, -80x^10, 320x^13, -1280x^16, 5120x^19, -20480x^22

Integer scale factor = x-4

Exponent scale factor = +3

Answer = -20,480x^22

Please help,and i will give you the brainleist.please write in a notebook and send.​

Answers

Answer:

my answer is Rs 57

remember it says remaining copies so u much find the 5% from the price of 900 copies

Given the following triangle. Find c
A.18v17
B.6v17
C.3v34
D.12

Answers

Answer:

The choose C.3√34

Step-by-step explanation:

15²+9²=c²

225+81=c²

306=c²

C= 3√34

I hope I helped you^_^

what is line PR called​

Answers

Answer:

A radius is a line segment with one endpoint at the center of the circle and the ... is called the midpoint, and arc PQ ≅ arc PR if and only if PQ ≅ PR.

Step-by-step explanation:

brainliest please

Answer:

A radius is a line segment with

-6k+1=-2+7k
Help plz !

Answers

Answer:

k=3/13

Step-by-step explanation:

Rearrange terms

Subtract

from both sides of the equation

Simplify

Subtract

from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Answer:

[tex]k=\frac{3}{13}[/tex]

Step-by-step explanation:

[tex]-6k+1=-2+7k[/tex]

Subtract 1 from both sides:-

[tex]-6k=7k-3[/tex]

Now, Subtract 7k from both sides:-

[tex]-6k-7k=7k-3-7k[/tex]

[tex]-13k=-3[/tex]

Divide both sides by -13:-

[tex]\frac{-13k}{-13}=\frac{-3}{-13}[/tex]

[tex]x=3/13[/tex]

OAmalOHopeO

The points A,B and C have coordinates (2,1), (b,3) and (5,5), where b>5 and angle ABC = 90 degrees. Find b.

Answers

Answer:

b=6

Step-by-step explanation:

modul of the vector AB= sqrt((b-2)^2+(3-1)^2)= sqrt (b^2-4b+8). It is the length of the side AB

modul of the vector BC is equal to sqrt ((b-5)^2+(-2)^2)= sqrt (b^2-10b+29)

modul of the vector AC is sqrt ((5-2)^2+(5-1)^2)= 5

squared modul of AB + squared modul of BC = squared modul of the vector AC.

b^2-4b+8+b^2-10b+29=25

2b^2-14b+12=0

b^2-7b+6=0

b=1    b=6

b>5, s0 b=6

n order to better manage his money, Joe kept track of his monthly grocery bills for the past six months to see how much he had spent. These amounts appear in the table.




Round each number in the table to the nearest hundred and estimate the total amount of money Joe should budget for groceries for the next 6 months.

Answers

Answer:

1,100

Step-by-step explanation:

200 + 200 + 200 + 200 + 100 + 200

Total amount after rounding off will be : 900

What is Rounding of numbers to nearest hundred ?

Rounding off a number to the nearest hundred means that you have to look or find the hundred which is closest to the given number and then write that as   the rounded-off number .

Rounding off each number in the table to the nearest hundred :

1) 223  ( since , we have 223 and 223 < 250 . Since, 223 is closest to 200 as compared to 300 , after rounding it off we will get 200 instead of choosing 300) = 200

2) 189 =200

3) 210 = 200

4) 164 = 200

5) 148 = 100

6) 206 = 200

Total amount after rounding of numbers will be = 200 + 200 + 200 + 100 + 200

                                                                = 900

Learn more about rounding of numbers:

https://brainly.com/question/13391706?referrer=searchResults

#SPJ2

Which equation represents a population of 490 animals that increases at an annual rate of 20% ?

Answers

Answer:

Step-by-step explanation:

The standard form of this exponential function is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

[tex]y=490(.2)^x[/tex]

Are a total of 127 Cars And trucks on a lot. If there. For more than twice the number of trucks, then cars, how many cars and trucks are on the lot?

Answers

Answer:

41 cars and 86 trucks

Step-by-step explanation:

C+T=127

2C+4=T

C+(2C+4)=127

3C+4=127

3C=123

C=41When C=41,

41+T=127

T=127-41

T=86

Please answer ASAP please and thank and also please draw it on the modle

Answers

Answer:

5/12

Step-by-step explanation:

1x5/2x6

EFGH is a rectangle. EA is 12 in. Find the length of the diagonal EH

26 in.
12 in.
24 in.
6 in.

Answers

Answer:

your answer is 24 in

I hope it's helps you

The length of the diagonal is 24 inches

From the given diagram, the length of the diagonal is twice the length EA

Mathematically;

EH = 2EA

Given the parameter:

EA = 12in

EH = 2(12)

EH = 24 in

Hence the length of the diagonal is 24 inches

Laern more on rectangle here: https://brainly.com/question/24438517

Jayla and her mom are making a cake.
They add % c flour and 3/2 c sugar.
:)
If the total amount of batter is 4 lc,
how many cups of other ingredients
are included?




The text in the bottom of the v=10 is what I’m confused in

Answers

Answer:

Other ingredients is 2

v =10 is the answer of 5th question (-40)/-4 = 10

Step-by-step explanation:

I. Find sum of flour and sugar

                 when c is cup, flour = 3/4 and sugar is 3/2

                 [tex]\frac{3}{4} +\frac{3}{2} = \frac{9}{4}[/tex]    or [tex]2\frac{1}{4}[/tex]

II. If total is [tex]4\frac{1}{4}[/tex]

                so [tex]4\frac{1}{4} - 2\frac{1}{4}[/tex] = 2

Hope that help :D

What is the
range of the function graphed below? I am in desperate need of answer

Answers

Answer:

B

Step-by-step explanation:

look at where the line reaches on the y-axis

Can you please show all your work plus the equation.

Answers

Answer:

25°

Step-by-step explanation:

20°--5°=

20°+5°=

25°

Answer: fell 25 degrees

Step-by-step explanation: 20-25= -5

//Give thanks(and or Brainliest) if helpful (≧▽≦)//

Which of the following are rational numbers?​

Answers

Step-by-step explanation:

square cube 214

I think this was your answer

Two numbers are in the ratio 1:2. If 7 is to be added to both, then ratio changes to 3:5, find the numbers

Answers

Let numbers be x and 2x

ATQ

[tex]\\ \rm\longmapsto \dfrac{x+7}{2x+7}=\dfrac{3}{5}[/tex]

[tex]\\ \rm\longmapsto 5(x+7)=3(2x+7)[/tex]

[tex]\\ \rm\longmapsto 5x+35=6x+21[/tex]

[tex]\\ \rm\longmapsto 6x-5x=35-21[/tex]

[tex]\\ \rm\longmapsto x=14[/tex]

2x=2(14)=28years
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