In ∆PQR, if m∠P=x–12,m∠Q=5x–27, and m∠R=2x+3, write an equation and solve for x. x =

Answers

Answer 1

Answer:

∠p= 15°  ,  ∠q = 108°   , ∠r = 57°  Is the Answer

Step-by-step explanation:

, (x -12)° + (5x-27)° + (2x + 3)° = 180°

or,  8x° -36° = 180°

Or x =

So, x = 27°

∴ ∠P = 27° -12°  = 15°

 ∠q = (5 × 27)° -27° = 108°

 ∠r = (2 × 27)° + 3° = 57°


Related Questions

1. A plumber charges $50 for a house call in addition to $80
per hour worked. Which equation represents y, the total cost
for x, hours worked?

Answers

Answer:

Step-by-step explanation:

Since the plumber charges $50 regardless of how many hours he works, then the equation must be 50 + ....

Since the plumber charges $80 for each hour, then the equation will be y = 50 + 80x.

Help please :( I am stuck

Answers

Answer: We all hate it when we are stuck! The slope is -1/2.

Step-by-step explanation: To find the slope, figure out the change of x divided by the change of y. The change of y is -1, and the change of x is 2. Therefore, the slope of the line is -1/2.

It is -2/1 or just -2 because you must do the rise first which is counting downwards or upward then the run counting to the left or right

An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.
For the following questions, pick the correct value rounded to the nearest hundredth.

What is the probability that Sam will be upgraded exactly 3 times in his next 20 flights?

What is the probability that Sam will be upgraded at most 4 times in his next 20 flights?

What is the probability that Sam’s first upgrade will occur on the third flight?

Answers

Answer:

b

Step-by-step explanation:

a) The probability that Sam will be upgraded exactly 3 times in his next 20 flights is 19.01 %

b) The probability that Sam will be upgraded at most 4 times in his next 20 flights is 95.68 %

c) The probability that Sam’s first upgrade will occur on the third flight is 0.0729

What is a Binomial Distribution?

The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.

The formula for Binomial Distribution is given by

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Given data ,

Let the probability of getting a coach-class ticket be p

The value of p = 0.10

a)

The probability that Sam will be upgraded exactly 3 times in his next 20 flights

The number of trials = 20

The probability of success p = 0.10

The probability of failure q = 1 - p

The probability of failure q = 0.90

x = 3

Substituting the values in the equation , we get

P ( 3 ) = [ 20! / ( 17 )! 3! ] ( 0.10 )³ ( 0.90 )¹⁷

P ( 3 ) = 0.1901

P ( 3 ) = 19.01 %

b)

The probability that Sam will be upgraded at most 4 times in his next 20 flights

The number of trials = 20

The probability of success p = 0.10

The probability of failure q = 1 - p

The probability of failure q = 0.90

x ≤ 4

Substituting the values in the equation , we get

P ( x ≤ 4 ) = [ 20! / ( 16 )! 4! ] ( 0.10 )⁴ ( 0.90 )¹⁶

P ( x ≤ 4 ) = 0.9568

P ( x ≤ 4 ) = 95.68 %

c)

The probability that Sam’s first upgrade will occur on the third flight

A = ( 0.9 ) ( 0.9 ) ( 0.9 ) ( 0.1 )

A = 0.0729

A = 7.29 %

Hence , the solution is calculated by binomial distribution

To learn more about binomial distribution click :

https://brainly.com/question/29350029

#SPJ2

What is the weight shown by the arrow? (in grams please)

Answers

Answer:

375 grams

Step-by-step explanation:

¯\_ʘ‿ʘ_/¯.......

Three hundred and seventy five grams

Yolanda wants to burn a total of 900 calories. So far, she has burned 596.9 calories. How many more calories must Yolanda burn? calories X Х $ ?​

Answers

900-596.9=303.1 calories

7 + -6 = what is the answer​

Answers

Answer:

answer is 1

I hope it's helps you

Answer:

the answer is 1

Step-by-step explanation:

Hopes this helps...

find the solution for X
3x - 5 = 7x + 11

Answers

Answer:

x=-4

Step-by-step explanation:

3x-5=7x+11    Add like terms

   +5     +5

3x=7x+16       Do it again...

-7x   -7x

-4x=16        Now divide

x=-4

Answer:

The answer is x=-4

Step-by-step explanation:

3x-5=7x+11

1) you have to move the number that has a variable with it onto one side(3x and +7x) and the numbers that do not have a variable move them onto the other side (-5 and +11),but if you move them you have to change the sign like the underlined numbers below

3x-7x=5+11

2) you have to subtract 3x and-7x which it equals  -4x and then you have to add 5 and 11 which it equals 16

Equation now -4x=16

3) you have to divide -4x into -4x and also divide -4x into 16 which you will get x=-4

Hope it helps out! :)

Taylor is making cookies. The recipe calls for 2/3 cups of sugar. She wants to increase the recipe by 1 1/2 more cups of sugar and use 2/3 cups of sugar to sprinkle onto the cookies and 1 1/2 cups of sugar for the cookie dough.
How many TOTAL cups of sugar would Taylor need after she adds 1 1/2 more cups of sugar to the recipe?

Answers

Answer:

Sex kar ha to bata do bhai yaar follw karo bata dungi

Someone plz help me I’m in mine last question

Answers

Step-by-step explanation:

21)

Frog C - Frog B

318.5-199.25=119.25 cm

22)

Frog A = 213.33

to the nearest whole number= 213 cm

si tienes una mesa de 25m de largo por 10 de ancho ¿ en cuanto varíaran cada una de sus dimensiones para que sin alterar su superficie tengo forma cuadrada ​

Answers

responder: 8,75

Cada dimensión será de 8,75 porque si la longitud es de 25 m de largo y el ancho es 10, si los sumamos y obtendremos 35. Así que 35 dividido entre 4 es 8,75

Find the solution of this system of equations.
Separate the x- and y-values with a comma.
X-6y = -8
x - y = 12

Answers

Answer:

The answer is (16, 4)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

~Hoped this helped~

IX
IX
90
3
80
2
| 1
1
70
B.
C.

Answers

C amazing jdjdhdf xox

The first term of an arithmetic sequence is a1 = 2, and the third term is a3 = 6. Which of the following could be formula(s) for the sequence? Select all that apply.

A. an = 2n
B. an = 2n + 2
C. an = n + 2
D. ​​an = an − 1 + 2; a1 = 2

Answers

Answer:

A

Step-by-step explanation:

an=2(1)=2

an=2(3)=6

Joe went to the store and bought 4 cans of peanuts for $7.80 .What is the constant of proportionality? (explain what you do to solve and actually solve)

Answers

Answer:

84

Step-by-step explanation:

How is the graph of y = - 4x2 – 5 different from the graph of y = -4x2?
A. It is shifted 5 unit(s) down.
C. It is shifted 5 unit(s) up.
B. It is shifted 5 unit(s) left.
D. It is shifted 5 unit(s) right.

Answers

Answer:

C. It is shifted 5 unit(s) up.

Step-by-step explanation:

The y-intercept of the first equation is –5. The y-intercept of the second equation is 0. This means that it moves up by 5 units.

Look at the image below for better understanding:

2 (a - 5) - 5 = 3
Marking brainliest

Answers

Answer:

9

Step-by-step explanation:

2a-10-15=3

2a=18

a=9

hope you get the explanation

Answer:

a = 9

Step-by-step explanation:

2(a-5)-5=3

2a-10-5=3

2a-15=3

2a=18

a=9

Whitney's teacher asked her to find the area of each figure shown.

For which figure will she use the formula
1
2
h
(
b
1
+
b
2
)
to compute the area?

Answers

Answer:

That formula is used to find the area of Trapezoids, so it would be "B"

A cell phone company charges $50 for the phone plus a monthly service charge of $30. An equation gives the cost y after x months. Which is the true of the relationship between x and y?

Answers

Answer:

i don't know i ain't a calculator  

Helppppppppp

In a recent year, there were 15,900,000 high school
students in the United States. Suppose 250,000 of a
random sample of 500,000 high school students
during that year played on a sports team. Estimate
the total number of U.S. High school students that
played on a sports team that year.

Answers

Answer:

The total number of U.S. high school students that played on a sports team that year can be estimated to be 7,950,000.

Step-by-step explanation:

From the random sample, we can expect that [tex]\frac{250000}{500000}=\frac{1}{2}[/tex] of all students played on a sports team that year. So in the bigger sample of 15900000 high school students, we can expect [tex]15900000 \cdot \frac{1}{2} = 7950000[/tex] students to have played on a sports team that year.

There were 26 nickels,dime,and quarters in all and their value was $2.25. How many coin of each type were there if there were 10 times as many nickels as quarters

Answers

Answer: is it 22.50

Step-by-step explanation:

Answer:

1 Quarters , 10 Nickles , 15 Dimes

Step-by-step explanation:

Start with the biggest coin and go down.

Solve this system of equations
y=7x+5
y=x+17

Answers

Answer:

(x, y) = (2, 19)

Step-by-step explanation:

7x + 5=x + 17

x=2

y=7*2+5

y=19

Please give brainlyist

Answer: (2, 19)

Step-by-step explanation:

There are three general ways to solve a system of equations:

- Substitution

- Elimination

- Augmented Matric

Since both given equations all have y isolated, substituting the value of y will be the most appropriate way here.

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

Given

y=7x+5

y=x+17

Substitute y into the equations

7x+5=x+17

Subtract 17 on both sides

7x+5-17=x+17-17

7x-12=x

Subtract 7x on both sides

7x-12-7x=x-7x

-12=-6x

Divide -6 on both sides

-12/-6=-6x/-6

x=2

Substitute  value into one of the equations

y=x+17

y=2+17

y=19

(2, 19)

Hope this helps!!

Please let me know if you have any questions

Which point on the coordinate plane is a reflection of point A across the y-axis

Answers

Point ‘N’ would be a reflection across the Y-Axis

jack wanted to leave a 15% tip on a $36.00 bill. How much would he leave for a tip
A. $7.20
B. $5.40
C. 3.60
D. $3.96

Answers

The answer is $5.40. hope this helped <3

Answer:

B = $5.40

Hope this helps!

Step-by-step explanation:

ayyoo please help me
If one angle of a set of alternate interior angles on parallel lines measures 77°, then the other angle also equals 77° _____.


always

never

sometimes

Answers

Answer:

sometimes

Step-by-step explanation:

greetings that person is wrong the answer is always

I need Help and I need it FAST!

Answers

Answer:

[tex] \huge a)\frac{1}{ {3}^{9}. {6}^{18} }[/tex]

Step-by-step explanation:

to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] {x}^{ - y} < = > \frac{1}{ {x}^{y} } [/tex][tex]( {x} ^{z} )^{y} < = > {x}^{y \times z} [/tex]let's solve:

[tex]( {3}^{3} . {6}^{6} {)}^{ - 3} [/tex]

[tex] \frac{1}{( {3}^{3}. {6}^{6} {)}^{3} } [/tex]

[tex] \frac{1}{ {3}^{3 \times 3}. {6}^{6 \times 3} } [/tex]

[tex] \frac{1}{ {3}^{9}. {6}^{18} }[/tex]

Need help!!!!!!! ASAP(10 points)

Answers

It is this -12x+1.50

the second one

Answer:

3[4 x 0.50=

Step-by-step explanation:

so you start by multiplying 4 x 0.50= 2

and next you mines 3 and 2 and get 1

I NEED TO TURN THIS IN BEFORE 8:15 PLEASE HELPPP

Answers

Answer:

4

Step-by-step explanation:

solve for x (3x-1)°, 71°​

Answers

Answer:

its x=24 hrhdjdjdndjrirjrjdjdhd

What is the value of x ??
F. 180
G. 90
H. 40
I. 8

Answers

The value of x is 8

What is the measure of angle N?

Answers

Answer:  A) 61 degrees

=========================================================

Work Shown:

Apply the law of sines

sin(N)/MO = sin(O)/MN

sin(N)/18 = sin(17)/6

sin(N) = 18*sin(17)/6

sin(N) = 0.87711511416821 ................. which is approximate

N = arcsin(0.87711511416821)

N = 61.296295678111

N = 61 degrees approximately

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

Notes:

Arcsine is the same as inverse sine. Your calculator is likely to have a button labeled [tex]\sin^{-1}[/tex] to indicate inverse sine.There are two solutions to sin(N) = 0.877; however, the other solution for N is larger than 90. This triangle your teacher is showing appears to be an acute triangle where every angle is less than 90 degrees. Technically two triangles are possible with these current given sides and angle.
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