16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º

16. Find The Values Of X And Y. (2y + 5) (5x - 17) (3x 11)

Answers

Answer 1

Answer:

x = 26

y = 9

Step-by-step explanation:

(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)

Solve for x

5x - 17 + 3x - 11 = 180

Collect like terms

5x + 3x - 17 - 11 = 180

8x - 28 = 180

Add 28 to both sides

8x = 180 + 28

8x = 208

Divide both sides by 8

x = 208/8

x = 26

Also:

(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)

Plug in the value of x and solve for y

2y + 5 + 90 + 3(26) - 11 = 180

2y + 5 + 90 + 78 - 11 = 180

Collect like terms

2y + 162 = 180

Subtract 162 from both sides

2y = 180 - 162

2y = 18

y = 9 (dividing both sides by 2)


Related Questions

A truck can be rented from Company A for ​$110 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. PLZ HELP

Answers

Answer: i am also looking for the answer so far i’ve gotten x=200 but it told me it was wrong feel free to try it i guess

Venus is an average distance of 108.2 million kilometers from the sun. Use the conversion factor

Answers

0.72 AU is the answer

The midpoint of JK
is M(6, 3). One endpoint is J(14, 9). Find the coordinates of endpoint K.

Answers

(x1 + x2 / 2) , (y1 + y2 /2)
so just sub in ur values
(6 + 14 /2) and (3+9/2)
so first add before dividing by2
(20/2) and (12/2)
then divide by 2
10 and 6
so endpoint k is
(10,6)

If each group has the greatest possible number of club members,
how many groups of sixth graders and how many groups of seventh
graders will there be? Use numbers and words to explain your answer.

Answers

so anybody know the answer yet cuz i don’t

what is the distance between (8, -3) and (4, -7​

Answers

Answer: I HOPE IT HELPS

Step-by-step explanation:6

2

8.49

to 2 decimal places

Explanation:

Calculate the distance ( d ) using the  

distance formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

d

=

(

x

2

x

1

)

2

+

(

y

2

y

1

)

2

2

2

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−  

where  

(

x

1

,

y

1

)

,

(

x

2

,

y

2

)

are 2 coordinate points

The 2 points here are (-8 ,4) and (-2 ,-2)

let  

(

x

1

,

y

1

)

=

(

8

,

4

)

and  

(

x

2

,

y

2

)

=

(

2

,

2

)

d

=

(

2

+

8

)

2

+

(

2

4

)

2

=

36

+

36

=

72

x

=

36

×

2

=

36

×

2

=

6

2

8.49

If you are given the measurements If two sides of a triangle, what will be true about the triangle you make?

Answers

Answer:

You can make infinitely many unique triangles.

Step-by-step explanation:

You aren't given the measure of the angle that the two given sides form, therefore, the two given sides could form any angle greater than 0° but less than 180°. In each different "case", the triangle will be different, hence, the answer is You can make infinitely many unique triangles.

Answer:

you can make infinitely many unique trangles

Step-by-step explanation:

trust em i did it and got it right

Cheri paid $6.50 for the bunch of grapes with the weight of 2.5 pounds. What is the price per pound?

Answers

It would be $2.6 (or $2.60) per pound.

What is the simplified value of the expression below rounded to the nearest hundredth? StartFraction 3.5 times 2 + 9 over 10.4 minus 1.4 times 2 EndFraction 0.28 0.89 1.91 2.11

Answers

Answer:

The answer is 2.11~! I hope I helped <3

Step-by-step explanation:

3.5x2=7   7+9=16   1.4x2=2.8   10.4-2.8=7.6   16/7.6=2.10526315789

but we simplify so, 2.10526315789 rounded to the nearest hundredth is 2.11~!

 

Answer:

2.11

Step-by-step explanation:

I got it correct on the test

4. What do your measurements in #3 tell you about the lengths of PR and QS ? Explain your thinking and then
measure to verify your conjecture. Be sure to state your measurements.

Answers

Answer:mn

Step-by-snbtep explanation:

what is 10^-9 plsplsp,sp,lskdkajgnjsogdhgjerojgjer

Answers

.0000000001 yeahhhhh

This year omar watched 80 movies. He thought that 54 of them were very good. of the movies he watched, what percentage did he rate as very good

Answers

Answer:

percentage flim rated very good = 54/80*100%

                                                      = 67.5%

Step-by-step explanation:

A zoo has 15 Emperor penguins. The Emperor penguins make up 30 percent of all the penguins at the zoo. how many penguins does the zoo have?

Answers

Answer:

50 penguins

Step-by-step explanation:

Let the total number of penguins = x

30% of x = 15

[tex]\frac{30}{100}*x=15\\\\\\x=15*\frac{100}{30}\\\\x=50[/tex]

Answer:

50

Step-by-step explanation:

15 x 100 equals 1500

1500 divided by 30 equal 50

Hopefully this helps you :)

pls mark brainlest ;)

You have a band concert coming up. You need to make sure that everyone in the audience has a seat. 70 people bought tickets. You set 6 rows of 11 chairs. Is that enough chairs? Why or why not? Show Work!

Answers

no this is not enough chairs!

if you have 6 rows of 11 chairs it would look like this

xxxxxx

xxxxxx

xxxxxx

xxxxxx

xxxxxx

(each x is a chair)

this would mean to figure out the amount of chairs you set down you would do 6 x 11 which is 66. so you would need 4 more chairs to fit all 70 people.

I NEED HELP ANSWER ASAP. I NEED SOMEONE WHO CAN I HELP ME WITH MY OTHER QUESTIONS

Answers

Answer:

3,0

Step-by-step explanation:

hopefully this helps you

pls mark brainlest if it is correct

Brighton Company launched a new gaming console. They sold 200 consoles prior to the launch.
The number of consoles sold each day after the launch is shown by the graph below.

Answers

Answer: in the domain of this situation, there is no asymptote.

Step-by-step explanation:

Asymptote would be on the left where x is negative but this function only shows all positive values of X

The value of k is -0.25. The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold.

The graph shows that the number of consoles sold each day after the launch of the Brighton Company gaming console follows an exponential decay pattern. This means that the number of consoles sold each day is decreasing at a rate that is proportional to the number of consoles that have already been sold.

The equation that can be used to model this exponential decay pattern is:

N = A * [tex]e^{-kt[/tex]

where:

N is the number of consoles sold on day t

A is the initial number of consoles sold (200 consoles)

k is a constant that determines the rate of decay

e is the base of the natural logarithm

We can use the data from the graph to estimate the value of k. The first day after the launch, 180 consoles were sold. This means that on day 1, N = 180. The initial number of consoles sold, A, is known to be 200 consoles. Therefore, we can write the following equation:

180 = 200 * [tex]e^{-kt[/tex]

Solving for k, we get:

k = -ln(1.8) / 1

≈ -0.25

The value of k is approximately -0.25. This means that the number of consoles sold each day is decreasing at a rate of 25%.

We can use the equation to predict the number of consoles sold on future days. For example, on day 2, we would predict that 150 consoles would be sold. On day 3, we would predict that 120 consoles would be sold.

The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold. This is because the exponential decay pattern is not perfect. There are other factors that can affect the number of consoles sold, such as the availability of the console and the price of the console.

To learn more about graph here:

https://brainly.com/question/17267403

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What is answer 2x+8= -4

Answers

Answer:

x=-6

Step-by-step explanation:

2x=-4-8

2x=-12

2x/2=-12/2

x=-6

Answer:

x = - 6

Step-by-step explanation:

2x+8 = 4

Subtract 8 from both sides:

2x+8-8 = - 4 - 8

Simplify :

2x = -12

Divide both sides by 2 :

2x/2 = -12/2

Simplify  :

-12/2 : -6

x = -6

Hope it Helps :) !!

if the rits car is going 69mph and his destination is 4 hours and 20 minutes away how long will it take for the rits car to get to his destination.​

Answers

Answer:

it will take 4 hours and 20 minutes

In the bin there is a 45% chance of randomly selecting ripe avocados. If you are picking avocados from the bin, you keep inspecting avocados and stop upon finding a ripe avocado. If you buy a bag of avocados, you do not inspect the fruit until you get home and inspect the bag of avocados all at once.
1. What is the probability that you have inclusively between 2 and 3 ripe avocados from your bag of 5 avocados?
2. What is the probability that you inspect inclusively 3 and 3 avocados from the bin?

Answers

Answer:

0.6125

Step-by-step explanation:

We have,

P(ripe avocados) = 0.45 , n = 5

by binomial distribution,

P(x=k) = [tex]${\overset{n}C}_k P^k(1-P)^{n-k}$[/tex]

P(2 ≤ x ≤ 3) = P(x=2) + P(x=3)

P(x=2) = [tex]${\overset{5}C}_2(0.45)^2(0.55)^3$[/tex]

           = 10 x (0.45)² x (0.55)³

           = 0.3369

P(x=3) = [tex]${\overset{5}C}_3(0.45)^3(0.55)^2$[/tex]

           = 10 x (0.45)³ x (0.55)²

           = 0.2756

So, P(2 ≤ x ≤ 3 ) = 0.3369 + 0.2756

                          = 0.6125

Find the z score that cuts-off the largest 9% under the standard normal curve. a) -1.34 b) 1.34 c) 0.536 d) 1.28

Answers

Answer:

b) 1.34

Step-by-step explanation:

The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

For the largest 9%, the score is 100% - 9% = 91% = 0.91

From the normal distribution table, the z score that corresponds to 0.91 is 1.34

(2 points)
A polynomial is divided by (x - 2), the quotient is (x – 6), and the remainder is -6
What is the original polynomial

Answers

Answer: x^2-8x+6

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

Explanation:

n = numerator polynomial = unknown (what we want to solve for)

d = denominator polynomial = x-2

q = quotient = x-6

r = remainder = -6

Based on that, we can say,

n/d = q + r/d

n = q*d + r ... multiply every term by d

n = (x-6)(x-2) + (-6) .... substitution

n = x^2-8x+12-6

n = x^2-8x+6

Dividing (x^2-8x+6) over (x-2) leads to a quotient of (x-6) and a remainder of -6.

What is 1.2 equivalent to

Answers

Answer:  6/5

Step-by-step explanation:

the decimal " 1.2 " is equivalent to the fraction " 6/5 "


A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
A tile will be randomly selected from the bag.What is the probability in decimal form that the tile selected will
be green?

Answers

0.5 or 50% because there are 12 tiles and 6 are green. 6/12 probability simplifies to 1/2 = 0.5 = 50%

What is 503.782 to the nearest then tenth

Answers

Answer: 503.8

Step-by-step explanation: 503.782 is the original fraction. To round up the number has to be 5, 6, 7, 8, or 9. The number in the hundredths place is 8. so that means the number in the tenths place can be moved up to 8 since 7+1=8.

The triangle below is an equilateral triangle. What is the perimeter of the triangle?

Answers

Answer:

[tex]5.4x+15[/tex] inches

Step-by-step explanation:

This is an equilateral triangle.

Therefore, all sides are equal to each other. This means that we don't need to go through the whole hassle of adding up all the sides together. We can just take the easiest side and multiply it by 3 (as the perimeter of an equilateral triangle is [tex]3s[/tex], s being the side length.)

In my opinion, the side [tex]1.8x+5[/tex] is the easiest to work with.

Let's multiply this by 3.

[tex]3(1.8x+5)[/tex]

We can apply the distributive property - multiply all terms inside the parentheses by 3.

[tex]1.8\cdot 3 = 5.4\\5\cdot3 = 15\\\\5.4x+15[/tex]

Hope this helped!

6. How many 1/2 hour periods will make up 4 hours?

Answers

Answer: it will take 8 periods of 1/2 hour to make up 4 hours

Step-by-step explanation:

It will take 8 periods of 1/2 hour to make up 4 hours.

What are Arithmetic operations?

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

Half an hour is 30 minutes,

There are 60 minutes in an hour.

4 hours=240 minutes.

240/30 = 8

Hence, 8 periods of 1/2 hour to make up 4 hours.

Learn more about Arithmetic operations

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Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent
variable.)
Vertex: (-1/2,0)
point:
(-3/2,-16/3)

Answers

Answer:

[tex]y = \frac{16}{3} x^{2} + 16x + \frac{20}{3}[/tex]

Multiply. ​ 3 2/3 x 3/4 ​ Express your answer in simplest form

Answers

3 2/3 x 3/4
= 11/3 x 3/4
=11/4

Please see picture

What type(s) of symmetry does this figure have?

A. Both rotational and reflectional

B. This figure is not symmetrical.

C. Rotational

D. Reflectional

Answers

D. Reflectional because if you cut it in half, it would look like the other piece.

2.
Josh worked 480 hours in 12 weeks. How many hours does he work in one week if he works the
same hours each week.

Answers

He works 40 hours a week.
The answer is 40 if you divide 480 by 12 you’ll get 40

Select all the statements that are true.

Answers

Answer:

Sqrt(7) is irrational because 7 is not a perfect square.

7.1234... is irrational because it is a nonterminating nonrepeating decimal.

Step-by-step explanation:

A rational number is a number that can be expressed in terms of fractions which result in terminating decimals, repeating decimals, or integer values.

An irrational number is a number that cannot be expressed in terms of fractions resulting in nonrepreating nonterminating decimals.

All options other than the two selected do not make sense.  Pi is irrational because it is a nonrepeating nonterminating decimal.

Cheers.

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