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

marcus wants to buy candy. He has 5$. Each candy bar cost 75 cents. how many candy bars can he buy? define the variable you would use to solve the problem.

Answers

Answer:

5*75

Step-by-step explanation:

Answer:6

Step-by-step explanation:

If you divide 5.00 by 0.75 and you'll get 6.6666666667 and it says how many candy bars so it will be 6 because the other point and lower stuff isn't a whole candy bar

Is -20 an irrational number or rational number

Answers

Answer: Rational number

Step-by-step explanation:

Let's write out the properties of rational and irrational numbers.

Rational

IntegersWhole numbersfinite decimalsrepeating decimals

Irrational

not rational numbers

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

Looking at the list we made, we can say that -20 is a rational number. -20 is an integer and a whole number. Therefore, it is a rational number.

It’s a rational number because I saw the other comment so I will just go with that

Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.

Answers

Answer:  Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gal

answer ASAP pic below

Answers

D is the Answer
Last part

solve it............

Answers

Answer:

7

Step-by-step explanation:

1) for '8'; '3'; and '10':

8/2+3+3=10

2) for '2'; '5' and '11':

2/1+5+5=11

3) for '6'; '2' and '?':

6/2+2+2=7

7 x [{9+8)-(12-7)] answer

Answers

Answer:

84

Step-by-step explanation:

7×[17-5]

7×12

84

hope it will help

Tricia starts school at 7am and has lunch at 12pm. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch.

Answers

The time in the exactly in the middle would be 9:30AM

I say she eats around 10:30 or whenever she feels like it, but go with my first answer.....

A church luncheon made $842. Adult tickets cost $10 each and children’s tickets cost $6 each. The number of children was 12 more than twice the number of adults. How many of each ticket were sold?

Answers

the number of adult ticket's sold = 35

And the number of child ticket's sold = 2 x 35 + 12 = 70 + 12 = 82

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

12*6 for children 24 of adult because of of double children 24*10 240 so 240+72=312

Simplify completely -3 (4-9) + 6 - 2 (-8 + 5)

Answers

27 is the answer, I can explain how I got that if you need.

A car rental company charges $0.10 per mile plus $30 per day for a midsize sedan. If
Lawrence rents a vehicle for four days and has $200, what is the maximum number of
miles he can drive?

Answers

Answer:8 days and 12 hours

Step-by-step explanation:30$ is each day

Answer:

800 miles

Step-by-step explanation:

Its 800 miles

David is flying from Hong Kong to Buenos Aires. The total flight distance is 11,472 miles. If the plane has 7,793 miles left to travel, how far has it already traveled?

Answers

3679 your just gonna subtract 11,472 from the miles he still has left which is 7793 so your answer is 3679
3679 is the answer

Hope it helps

Given f(x)=10(3−x)+6, what is the value of f(−1)?

Answers

Answer: 46

Step-by-step explanation:

10 (3 +1) + 6

30 + 10 + 6

46

I need help on this question

Answers

Answer:

If they are the same size and length

Step-by-step explanation:

Angles are congruent if ,and only if ,they have the same measure.

Hope it helps.

William read 15 books in 6 months. What was his rate of reading in months per book? {pls i need help}

Answers

Answer:

His rate would be 2.5 books per month

A cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t, the number of hours it would take to fill the container.
18 + ?t = 24
What number should be the coefficient of t?
2
3
18
24

Answers

Given:
height of cylindrical container = 24 inches
height of water in container = 18 inches
leaky faucet increases water by 2 inches per hour.

18 + ?t = 24

The coefficient of t is 2.

18 + 2t = 24
2t = 24 - 18
2t = 6
2t/2 = 6/2
t = 3

It would take 3 hours to fill the container.

18 + 2t = 24
18 + 2(3) = 24
18 + 6 = 24
24 = 24

Hope this helps!!
, CookyKpopStan

Answer:

a) 2

Step-by-step explanation:

got it right on edge 2021 || pls mark brainliest



what is equal to
[tex] \frac{( {2}^{3} ) {}^{3} }{( {3}^{3} ) {}^{3} } [/tex]


A.
[tex]( \frac{2}{3} ) {}^{6} [/tex]
B.
[tex]( \frac{2}{3} ) {}^{9} [/tex]
C.
[tex]( - 6) { }^{6} [/tex]
D.
[tex]( - 6) {}^{9} [/tex]

Answers

Answer:

B.

Step-by-step explanation:


Which input value produces the same output value for
the two functions on the graph?

X = -1
X = 0
X = 3
X = 4

Answers

Answer:

x = 4

Step-by-step explanation:

The input values are the x-values represented in the graph while the output values are the y-values.

The x-coordinate of the point at which the line of the two functions intersect, f(x) and g(x), is the input values that produces the same output values for both functions.

Thus:

For f(x), when x = 4, y = 3. That is f(4) = 3.

Also, for g(x), when x = 4, y = 3. That is g(4) = 3.

Therefore, the input values that produces the same output values for both functions is x = 4.

Answer:

D: x = 4

Step-by-step explanation:

just took the test :-)

Mr. Ahmed has 31 students in his class. There are 14 boys and 17 girls. what is the answer for this

Answers

Answer:

What do you mean? 14+17 is 31.. 14<17

Answer:

1. 14:31

2. 17:31

Step-by-step explanation:

i got it right on e d g e n u i t y 2020

hope it helps (:

Irina wants to tile her floor using the translation shown below. Which is the rule for this translation? T–3, 2(x, y) T2, –3(x, y) T3, 2(x, y) T–2, 3(x, y)

Answers

Answer:

The answer is A, -3.2(x y).

Step-by-step explanation:

I thought the answer was D but I took the test and the answer ended up being A. (Brainliest?)

The rule for this translation is:  T-3.2(x y). (Option A). This rule states that the original dimensions (ABCD) must move -3 units to the left and 2 units up to form A'B'C'D'.

What is a translation?

Where tach point in a figure is moved the same distance in the same direction using a sort of transformation, this is known as translation.

Thus, examining the position of the old shape and the new, it is correct to indicate that the right translation given the coordinates is option A.

Learn more about translation at;
https://brainly.com/question/1046778
#SPJ6

Express the ratio DE/AB in simplest form

Answers

D. X/36cm

DE= X. And AB= 36cm

1
This angle pair makes a straight line, so they are supplementary
130
50
A True
B False

Answers

a-true because you would add 130 and 50 = 180 which is the measure of a supplementary angle

Answer:

True

Step-by-step explanation:

Supplementary angles always equal to 180 degrees, and the sum of 130 and 50=180 degrees.

An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 71 brakes using Compound 1 yields an average brake life of 41,628 miles. A sample of 31 brakes using Compound 2 yields an average brake life of 36,379 miles. Assume the standard deviation of brake life is known to be 4934 miles for brakes made with Compound 1 and 4180 miles for brakes made with Compound 2. Determine the 98% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval.

Answers

Answer:

98%  Confidencce Interval is ( 3030.6, 7467.4 )

Step-by-step explanation:

Given that:

Sample size [tex]n_1 =[/tex] 71

Sample size [tex]n_2 =[/tex] 31

Sample mean [tex]\overline x_1 =[/tex] 41628

Sample mean [tex]x_2 =[/tex] 36,379

Population standard deviation [tex]\sigma_1[/tex] = 4934

Population standard deviation [tex]\sigma_2 =[/tex] 4180

At 98% confidence interval level, the level of significcance = 1 - 0.98 = 0.02

Critical value at [tex]z_{0.02/2} = 2.33[/tex]

The Margin of Error = [tex]z \times \sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2} }[/tex]

= [tex]2.33 \times \sqrt{\dfrac{4934^2}{71}+\dfrac{4180^2}{31} }[/tex]

= [tex]2.33 \times \sqrt{\dfrac{24344356}{71}+\dfrac{17472400}{31} }[/tex]

= [tex]2.33 \times \sqrt{906504.06 }[/tex]

= 2218.40

The Lower limit = [tex]( \overline x_1 - \overline x_2) - (Margin \ of \ error)[/tex]

= ( 41628 - 36379 ) - ( 2218.40)

= 5249 - 2218.40

= 3030.6

The upper limit = [tex]( \overline x_1 - \overline x_2) + (Margin \ of \ error)[/tex]

= ( 41628 - 36379 ) + ( 2218.40)

= 5249 + 2218.40

= 7467.4

∴  98%  Confidencce Interval is ( 3030.6, 7467.4 )

NEED HELP ASAP!!! name each angle in as many ways different as possible

Answers

JGL,LGJ, GJ, GL are the four angles

32 times 18 +52 = what plz help

Answers

Answer:

3640 and hi its meeeee i finally found you

Step-by-step explanation:

The answer is 68. Using bodmas rule in math, you have to work out the multiplication part first. Followed by adding them together

HELP ME PLEASE!!!!!!!!!!4(a+2)=8+4a

Answers

All real numbers are correct! Hope that helps.

Answer:

a can be anything. There are infinite solutions.

Step-by-step explanation:

[tex]4(a+2)=8+4a[/tex]

Expand:

[tex]4a+4\times\:2=8+4a[/tex]

[tex]4a+8=8+4a[/tex]

Subtract 8 from both sides:

[tex]4a+8-8=8+4a-8[/tex]

[tex]4a=4a[/tex]

Subtract 4a from both sides:

[tex]4a-4a=4a-4a[/tex]

[tex]0=0[/tex]

Since both sides are equal, a has infinite solutions as no matter what value it is, it will not affect the end result of [tex]0=0[/tex] which is true.

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?

Answers

Answer: $680

Step-by-step explanation:

可二人十
Help solve this problem

Answers

Hi! This is my first time helping someone so I hope this helps!

X=1
Y=5

First in the first equation, subtract x on both sides.

Y= 6-x

Then substitute that into the second equation.

-3x + 6-x = 2

-4x + 6= 2

-4x = -4

x= 1

Substitute it to the first equation

Y= 6-1

Y= 5

X= 1

Hope this helps. I hope you have a great day!

Abigail drove 84 miles in 4 hours. If she continued at the same rate, how far would she travel in 14 hours?

Answers

Answer:

210 miles

Step-by-step explanation:

84 divided by 4 equals 21

21 times 10 equals 210

Answer:

205 miles

Step-by-step explanation:

If the 14 hours is including the hours Abigail has already driven, then she would travel 121 miles for the six hours, for a combined total of 205 miles.

100 POINTS!! ASAP - Plss SHOW WORK

Answers

Answer:

h ≈ 174.3 m

Step-by-step explanation:

Step 1: Define variables

∅ = 71°

b = 60 meters (horizontal leg of the triangle)

We are solving for height h (vertical leg of the triangle)

Step 2: Use Trig

tan∅ = opposite over adjacent

tan71° = h/60

Step 3: Evaluate

60tan71° = h

h = 174.253 m

h ≈ 174.3 m

Answer:

the height of the building is 174.3 m

Step-by-step explanation:

see attached image

height of building (h) = x tan Ф

where x = 60m

Ф = 71°

plugin values into the formula

h = 60 tan (71)

h = 174.3 m

therefore

the height of the building is 174.3 m

The owner of Animal Lovers Pet Shop just got a delivery of 315 bags of cat food and you need to put the bags on 9 shelves. How many bags will be put on each shelf? Explain the long division steps you used to find your answer​

Answers

Answer:

Sample Response: Divide 9 into 31, multiply 9 and 30 to get 270, subtract 270 from 315 and get 45. Divide 9 into 45, multiply 9 and 5 and get 45, subtract 45 from 45 and get 0. The answer is 35.

Step-by-step explanation:

heres the sample response <3

Divide 9 into 31, multiply 9 and 30 to get 270, subtract 270 from 315 and get 45. Divide 9 into 45, multiply 9 and 5 and get 45, subtract 45 from 45 and get 0. The answer is 35.

Step-by-step explanation:

i did the test on edge

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