Find the measure of the longest angle

Find The Measure Of The Longest Angle

Answers

Answer 1

The largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14)  degrees.

According to the given question.

We have, the measure of the angles  of a triangle are 105 degrees,

(6x +17) degrees, (5x + 14) degrees.

As we know that the sum of the angles of a triangle is always 180 degrees.

Therefore, we can say that

105 + (6x +17) + (5x + 14)  = 180

⇒ 105 + 6x + 17 + 5x + 14 = 180

⇒ 136 + 11x = 180                   (adding the like terms)

⇒ 11x = 180 -136

⇒ 11x = 44

⇒ x = 44/11

⇒ x = 4 degrees.

So,  (6x +17) degrees = 6(4) + 17 = 24 + 17 = 41 degrees

and,  (5x + 14)  degrees = 5(4) + 14 = 20 + 14 = 34 degrees

Hence, the largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14)  degrees.

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Related Questions

Which is it… Please.

Answers

Answer:

No association

Step-by-step explanation:

This type of data is usually random; think about it, how could what gender person you are affect how you survive? Children may have a higher chance, but that's primarily based on health. Women is about 3/4 and men about 1/4.

Hope this helps.

Explain the parts of this imaginary number. −7+4i

Answers

Step-by-step explanation:

Every imaginary number contains two part. which is recalled as:

[tex]a + bi[/tex]

in which a is a real number and b is known as the imaginary number.

so –7===> Real number

4===> imaginary part

-2x + y = 0
5x + 3y = -11

Answers

The solution for equations can be determined by .

-2x + y = 0

5x + 3y = -11

Equating both the equations

-6x+5x = -11

x= 11

substitute x in any one of the equation to find y value.

-2(11) + y = 0

y = 22

What is an equation?

A declaration that two mathematical expressions are equal. a phrase that uses chemical symbols to illustrate a chemical reaction.

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.

Equation is a mathematical term for a scenario where numerous aspects need to be taken into account. It is commonly expressed as a mathematical expression with equal values on either side and is defined as the state of equality.

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16•(-4)=
Answer what like by hand

Answers

Answer:

-64

Step-by-step explanation:

4 times 10=40

+4times 6=24

=64

Times by -1

=-64

-64 going to be your correct answer.

one pound of grapes costs $1.55. which equation correctly shows a pair of equivalent ratios that can be used to find the cost of 3.5 pounds of grapes? startfraction 1.55 over 1 endfraction

Answers

startfraction 1.55 over 1 endfraction is x = 1.55

What is ratio?

A ratio in mathematics shows how many times one number is included in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is identical to the ratio 4:3). (i.e., 8:6, which is identical to 4:3). The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7). (or 4:7). A ratio can have any number of values, such as counts of people or things or measures of length, weight, time, etc. In most cases, both numbers must be positive.

EXPLANATION:

Sadly, we are unable to view the list of equations from which you can choose. But if we assume that x Equals the cost of 3.5 kg of grapes, we can construct the following equation

1/1.55 = 3.5/x

x = 1.55

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ax - c= b helppppppp

Answers

Answer:

a= b/x + c/x

x= b/a + c/a

c= -b + ax

b= ax - c

Step-by-step explanation:

It depends on what your solving for so here are the answers for all.

Convert the following angle to decimal degrees.
α = 27° 20' 21"



PLEASE HELP ME!

Answers

Answer:

27.33917°

Step-by-step explanation:

27° 20' 21"

= 27° + 20'/60 + 21"/3600

= 27.33917°

the u.s. census bureau needs to estimate the median income of males in the u.s., they collect incomes from 2500 males. state the individual, variable, population, sample, parameter, and statistic.

Answers

Individual : a male in the United States

Variable : income

Population : All males in the United States

Sample : 2500 males of which the information is collected

Parameter : Median income of males in the U.S

Statistic : Median income of the 2500 males sampled

Any satisfactory, quantity, or number that can be gauged or tallied qualifies as a variable. A records object is some other name for a variable.A sample is a subset of units selected to symbolize all the people in a population. due to the fact only a portion of the populace become counted, it is only a partial enumeration. To estimate the traits of the total populace of hobby, facts from the sampled devices is used.A statistic is a numerical illustration of a sample, whereas a parameter is a numerical illustration of the complete populace. 

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a souvenir of the eiffel tower is scaled 1/80 at inch to 1 foot. if the total height of the tower is 1,069 feet, the approximate height of the souvenir of the eiffel tower to the nearest tenth is

Answers

well, let's convert 1 foot to inches, that'd be 12 inches per foot.

so we know that the souvenir is 1/80 in, to the actual of 12 inches on the Eiffel Tower, if the Tower itself is 1069 feet high, namely (1069)(12) inches, how high is the souvenir?

[tex]\begin{array}{ccll} \stackrel{in}{souvenir}&\stackrel{in}{actual}\\ \cline{1-2} \frac{1}{80}&12\\[1em] x&(1069)(12) \end{array}\implies \cfrac{ ~~ \frac{1}{80} ~~ }{x}~~ = ~~\cfrac{12}{(1069)(12)}\implies \cfrac{ ~~ \frac{1}{80} ~~ }{\frac{x}{1}}~~ = ~~\cfrac{12}{12828} \\\\\\ \cfrac{1}{80}\cdot \cfrac{1}{x}=\cfrac{1}{1069}\implies \cfrac{1}{80x}=\cfrac{1}{1069}\implies 1069=80x\implies \cfrac{1069}{80}=x\implies 13.4\approx x[/tex]

If $5 = 4pound and Rs 342 = $3, how many dollars can be exchanged for 50 pounds

Answers

Answer:

19.40 dollars is equal to rs4400

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

Answer:

slope=-1/5

Step-by-step explanation:

the slope is -1/5 because it falls 1 unit from one point before crossing 5 units and hitting another point.

slope=-1/5 is going to be your answer

Call bag contains six red tiles and 15 yellow towels. lelia removes two red towels how many yellow tiles should she remove so that the ratio of red tiles to yellow towels in the bag stays equivalent to 6:15

Answers

5 yellow tiles should be removed.

The original ratio of red tiles to yellow tiles as per the question :Ratio = 6:15. Now, after removal of red tiles, the numerator of ratio will become = 6 - 2. The numerator of new ratio will be 4. For yellow tiles, let the number of yellow tiles removed be x. So, the denominator or new number of yellow tiles will be 15 - x.

Now, relating the two ratio -

6:15 = 4:(15 - x)

Performing cross-multiplication to find the value of x.

6 × (15 - x) = 4 × 15

Performing multiplication on both the Left Hand Side and Right Hand Side

90 - 6x = 60

6x = 90 - 60

Performing subtraction to find the value of x

6x = 30

x = [tex]\frac{30}{6}[/tex]

Performing division to find the value of x

x = 5

So, the number of yellow tiles to be removed is 5.

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The complete question is -

A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the bag stays equivalent to 6 : 15?

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

Answer:

Option 3

Step-by-step explanation:

When y is positive, there is always increase.

Eliminate options 1 and 2.

When y is negative, there is always decrease.

Eliminate option 4.

18. Simplify the complex fraction.

Answers

Answer:

B.

4*2=8

5*3=15

Answer:

A is 3\5; B is 8\3; C is 3\8; D is 5\3

Step-by-step explanation:

divide or multiply
i don't know  if these are right bc I didn't do them in a long time.

Phoebe, Andy and Polly share £270
Phoebe gets 3 times as much as Andy who gets twice as much as Polly
work out how much they get each?

Answers

Answer:

Phoebe=180

Andy=60

Polly=30

Step-by-step explanation:

let Polly be x

:Andy becomes 2x while Phoebe becomes 6x

therefore 6x+2x+x=270

9x=270

x=30

Hence: Phoebe=6x=180

Andy =2x=60

Polly=x=30

Answer = 30

Reason:

Let Polly be x,

Hence Andy = 2x.

Then Pheobe = 6x [ie 3*(2x)]

Therefore, 6x + 2x + x = 270

Result x = 30

Pheobe gets 6x = 6*30 = 180

Andy gets 2x = 2*30 = 60

Polly gets x = 30

Total = 270

Find the area of parallelogram ABCD given mA = 30 and the following measures. AB = 6ft ; AX = 3 [square root] 3, A = ?

Answers

The area of the given parallelogram is: 9√3 sq. feet.

What is a parallelogram?

A parallelogram is a simple quadrilateral with two sets of parallel sides in Euclidean geometry. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

Area of a parallelogram = Base of the Parallelogram * Height

Now, given:

A parallelogram ABCD,

AB = 6 feet, AX = 3√3.   Angle A = 30°

To find: Area of the Parallelogram ABCD.

Finding: Here, AB = 6 feet = base

For height,

Height = perpendicular distance from X to AB

= AX(sinA)

Height = 3√3 (sin30) = 3√3 / 2

Thus, area of the parallelogram = [tex]\frac{3\sqrt{3}}{2}\times6= 9\sqrt{3}sq. feet.[/tex]

Hence, The area of the given parallelogram is: 9√3 sq. feet.

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In the relationship y=3x, if x is reduced by 1/3, how will y change? Responses It will triple.

Answers

If x is reduced by 1/3, 3x will be reduced by 1/3 x 3 = 1

Because y = 3x, y will also be reduced by 1.

A 2010 u.s. census bureau report indicated there are 4,229,138 residents of indiana aged 25 and older. what percentage of the residents aged 25 and older have a degree if there are 326,036 residents with an associate's degree, 623,200 with a bachelor's degree, and 348,807 with either a graduate or professional degree? write your answer as a percent rounded to the nearest whole number.

Answers

Among the 4,229,138 residents of Indiana aged 25 and older, the percentage of the residents aged 25 and older that have a degree is 31 %.

Percentage, which was adapted from the Latin word "per centum", which means "by the hundred", is a fraction or a ratio in which the value of whole is always 100. It is represented by the symbol "%".

The formula to get the percentage is:

Percentage = (Value / Total Value) × 100

Getting first the total value of the degree holders: 326,036 have an associate's degree, 623,200 have a bachelor's degree, and 348,807 have either a graduate or professional degree

residents with degree = 326,036 + 623,200 + 348,807

residents with degree = 1,298,043

If the total value of the residents aged 25 and older is 4,229,138 and among them, 1,298,043 have a degree, getting its percentage using the formula:

Percentage = (Value / Total Value) × 100

Percentage = (1,298,043 / 4,229,138) × 100

Percentage = (0.3069285041) × 100

Percentage = 30.69 %

Rounding off to the nearest whole number,

Percentage = 31 %

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Help with this problem

Answers

Using linear functions, it is found that:

Plan B is better than Plan A when Curt's sales are more than $21,000.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For the functions in this problem, we have that:

The salary is the intercept.The commission is the slope.

Hence the functions are given as follows:

A(x) = 1050 + 0.1x.B(x) = 1350 + 0.15(x - 9000).

Plan B is better when:

B(x) > A(x).

Hence:

1350 + 0.15(x - 9000) > 1050 + 0.1x

0.05x > 1050

x > 1050/0.05

x > 21000.

Plan B is better than Plan A when Curt's sales are more than $21,000.

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Build Understanding
1
The table shows how many ounces of salsa you get
when buying small jars of salsa.
8
64
12
16
96
24
MaR
Small jars of salsa 4
Ounces of salsa
32
. Describe a pattern you see in the rows of the table. Oraciones con esas tablas de númeracion

Answers

The rows of small jars of salsa are increased by 4 times.

The rows of ounces of salsa are increased by 32 times.

The pattern in the column of the table is

y = 8x

Therefore x = 4 then y = 8(4) = 32

x = 8 then y = 8(8) = 64

x = 12 then y = 8(12) = 96

x = 16 then y= 8(16) = 128.

x = 20 then y = 8(20) = 160.

The pattern in the column of the table is

y = 8x

Therefore x = 4 then y = 8(4) = 32

x = 8 then y = 8(8) = 64

x = 12 then y = 8(12) = 96

x = 16 then y= 8(16) = 128.

x = 20 then y = 8(20) = 160.

The relationship between ounces of salsa and small jars of salsa using a unit rate is

4 ounces = 1 serving

y = 4x

If x = 1 then y = 4

If x = 2 then y = 4(2) = 8

If x = 3 then y = 4(3) = 12

If x = 4 then y = 4(4) = 16

If x = 5 then y = 4(5) = 20

The relationship using the unit rate is

48 ounces = 4 medium jars of salsa.

For 1 medium jars of salsa = 48/4 = 12 ounces.

1 medium jar of salsa = 12 ounces.

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in a study reported in the news, "researchers found that adults who used headphones with a screen, for more than one hour per day were at a 13% higher risk for hearing loss compared to those who used headphones with their screens less than one hour. the research team randomly surveyed 3,506 people in california about their screen/headphone behaviors, as well as information about ear infections and other noises a person may encounter at work and in daily life. participants were also given physical check-ups, including a hearing test and a physical exam of the ears and eyes. the increased likelihood of hearing loss remained, even after the researchers adjusted for risk factors such as construction noise and inner ear anatomy. the researchers found no increased risk among people who used headphones with a screen less than one hour per day.

Answers

Headphones that go over your ears can also damage your hearing if you use them too long or play music too loudly.

What is decibel explain with examples?

A decibel is a unit used to measure how loud something is using a logarithmic formula. It is also used to describe the degree of loudness. This is an example of when you listen to your music at the loudest volume that your iPod will allow.

If you use over-the-ear headphones for an extended period of time or listen to loud music, you could end up damaging your hearing. They simply pose less of a risk than earphones do: The level of a sound can be increased by 6 to 9 decibels when the source is inside your ear canal, which can result in some major issues.

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help me understand this

Answers

Answer:

2

Step-by-step explanation:

According to the table, when x changes 7 units, y will change 14 units

x          y

-28     -54

-21.     -40

-14       - 26

-7          - 12

0           2

y-intercept is where the line intersects y axis, which x = 0

so y-intercept is 2

The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee
and then a certain amount of money per minute used on the phone. If a customer uses 360 minutes, the
monthly cost will be $86. If the customer uses 610 minutes, the monthly cost will be $123.5.
A) Find an equation in the form y = mx +b, where x is the number of monthly minutes used and y is
the total monthly of the A Fee and Fee plan.
Answer: y =
B) Use your equation to find the total monthly cost if 945 minutes are used.
Answer: If 945 minutes are used, the total cost will be
dollars.

Answers

The equation in the form y = mx +b, where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan is: y = (3/20)x + 32 and the total monthly cost is $173.75.

Equation

a. Equation

Slope = ( $123.5-$86)/(610-360)

Slope=37.5/250

Slope= 3/20

y = mx + b

Solve for "b"

$123.5 = (3/20)610 + b

$123.5  = 91.5 + b

b=$123.5-$91.5

b = 32

Equation:

y = (3/20)x + 32

b. Total cost

Total cost= (3/20)945+32

Total cost= 141.75+32

Total cost= $173.75

Therefore the equation in the form y = mx +b, where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan is: y = (3/20)x + 32 and the total monthly cost is $173.75.

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What is the measure of the angle shown below?

Answers

Answer:57 degrees

Step-by-step explanation:

It is just below the 60-degree line. And it is less than 90 degrees.

Find the quotients. Answer as whole numbers or fractions.

2/5 ÷ 3/4 =

9/4 ÷ 3/4 =

5/7 ÷ (-1/-3) =
(whole fraction is negative)

-5/3 ÷ 1/6 =

if its only ‘-‘ at the numerator that means only the numerator is negative )

Answers

Answer:

ANSWERS

1st Question: 8/15

2nd Question: 3

3rd Question: -2 1/7

4th Question: -10

Used a Calculator :3 hope it helps

1st Question: 8/15
2nd Question: 3
3rd Question: -2 1/7
4th Question: -10

At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?

490x + 700y < 4000
490x + 700y ≤ 4000
490x + 700y > 4000
490x + 700y ≥ 4000

Answers

Answer:  490*x + 700*y ≤ 4000

Answer:

its b

Step-by-step explanation:

Why does it make sense that t(4) > t(2)

Answers

Answer:

Step-by-step explanation


Stepst(4)​>t(2)Show StepsExpand t(4):    4tShow StepsExpand t(2):    2t4t> 2tSubtract 2t from both sides4t−2t>2t−2tSimplify2t>0Divide both sides by 22t2 >02 Simplifyt>0Got a different answer? Check if it′s correct Verify 

Question 4 (1 point)
Choose all the terms in the expression
5x⁴ - 7x³ + x + 2

(below are multiple choice options)

5
5x⁴
-7x³
1
X
2​

Answers

Answer: there are 4 terms and they are 5x^4, -7x^3, x, and 2

Step-by-step explanation:

Translate the sentence into an equation.
Seven times the sum of a number and 3 equals 2.
Use the variable b for the unknown number.
0-0
X
OXO
0+0
Ś

Answers

The translation of the given sentence into an equation is: 7(b + 3) = 1.

How to Translate a Sentence into an Equation?

Variables can be used to represent an unknown quantity when translating statements into equation. The word "times" is represented as or means "×" (multiplication). "Sum" means addition as well.

Thus, the sentence given can be translated as shown below:

The unknown number is represented as variable b.

"The sum of a number (b) and 3" would be translated as: b + 3.

"Seven (7) times the sum of a number and 3 (b + 3)" would therefore be: 7(b + 3).

Therefore, translating the whole sentence into an equation, we would have:

7(b + 3) = 1.

Thus, the translation of the given sentence into an equation is: 7(b + 3) = 1.

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Graph the line with the equation y= - 1/2x + 7

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: 1^2

y-intercept: (0,7)

(XY)

(07)

(28)

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