Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)​

Answers

Answer 1

Answer:

The measures of the angles are 85 and 95 degrees each.

Step-by-step explanation:

Two angles are supplementary when they add up to 180 degrees.

Therefore, set up an equation and solve for the variable x in the first place.

(8x-3)+(7x+18)=180

8x-3+7x+18=180

8x+7x-3+18=180

15x-3+18=180

15x+15=180

15x=165

x=165/15

x=11

Angle 8x-3=8(11)-3=88-3=85.

Angle 7x+18=7(11)+18=77+18=95.

Answer 2

Answer:

85⁰ and 95⁰

Step-by-step explanation:

Supplementary angle add up to 180⁰

8x-3+7x+18=180

8x+7x-3+18=180

15x+15=180

15x=180-15

15x=165

15x/15=165/15

x=165/15

x=11⁰

measure of first angle=8(11⁰)-3

=88⁰-3

=85⁰

measure of second angle=7(11⁰)+18

=77⁰+18

=95⁰


Related Questions

PLEASE HELP WILL MARK BRAINLIEST‼️‼️‼️
Question: Write the equation of the piece wise function that is represented by its graph.
(Graph and Answers Pictured)

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

The left portion of the curve is defined for x < 1, except x=0. The right portion of the curve is defined for x ≥ 1. The only answer choice with these domain segments is the last one.

What is the graph of 4x + 2 < 10

Answers

The first answer is correct.

It can be written as (-3, 2)
The endpoints are circles because |4 x -3 + 2| = 10 which is NOT < 10
and |4 x 2 + 2| = 10

Any values between -3 and 2 are valid
|4 x -2.9 + 2| = +9.6 which is less than 10
|4 x 1.5 + 2| = 8 which is less than 10

A college has 7 science batches and each batch has 48 students, It is compulsory for each student to do 24 hours of community service in a year. How many hours of community service does the college contribute in a year ?​

Answers

Answer:

Hello There!!

Step-by-step explanation:

Firstly, find out how many students there are in 7 batches. You can do this by timesing 48 by 7 to get 336. So there are 336 students in 7 batches. Each student does 24 hours of community service in a year so do 336 times by 24 which is 8,064. Therefore,the college contributes 8,064 hours of community service in a year.

hope this helps,have a great day!!

~Pinky~

Suppose one network executive is selected at random. find the indicated probabilities

Answers

Answer:

na answer ran nyo na po

Step-by-step explanation:

Consider the following sets of sample data:

A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25, 4.46, 2.93, 3.64

Required:
For each of the above sets of sample data, calculate the coefficient of variation, CV.

Answers

Answer:

3.319%

14.13%

Step-by-step explanation:

A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766

B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25, 4.46, 2.93, 3.64

Given the data:

The mean, m = Σx / n

The standard deviation, s = √Σ(x - m)²/ (n-1))

The coefficient of variation is, CV = s / mean

Using calculator to save computation time :

A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766

Data A :

Mean, m = 21101.5714

Standard deviation, s = 700.28925

CV = s / m * 100% = 700.28925 / 21101.5714 * 100% = 3.319%

Data B:

Mean = 4.089

Standard deviation, s = 0.5776

CV = 0.5776 / 4.089 * 100% = 14.13%

Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 4, vertex B is on ordered pair 7 and 2, and the vertex C is on ordered pair 1 and 2. (5 points) It is one-half the area of a square of side length 6 units. It is twice the area of a square of side length 6 units. It is one-half the area of a rectangle with sides 6 units × 2 units. It is twice the area of a rectangle with sides 6 units × width 2 units.

Answers

Answer:

It is one-half the area of a rectangle with sides 6 units × 2 units

Step-by-step explanation:

area of the triangle is 6

base = 6

height = 2

so are is 6 x 2 / 2

Answer:did this a few months ago this answer is

It is one-half the area of a rectangle with sides 6 units × 2 units.

Step-by-step explanation:

like the person up there

constant
r is the counting number from 7 to 9​

Answers

r: 8 ...................

HELP ME OMG HSLPEKSSMW

Answers

B

14 pounds in ounces is 64
64+10(from the pineapples)=74
74/6(that how many servings he wants)=13

I don’t really understand how to do this

Answers

Answer:

<A = 63degrees

Step-by-step explanation:

From triangle DEF;

<D + <E + <F = 180

87 + 30 + <F = 180

117 + <F = 180

<F = 180 - 117

<F =  63degrees

Since <A = <F based on similarities, then <A = 63degrees

Suppose the probability of success in a binomial experiment is 0.95. What is the probability of failure?

Answers

Answer:

0.05

Step-by-step explanation:

this is because the total probability always adds up to 1

Tell whether the shape appears to have zero lines, 1 line, or more than 1 line of symmetry. Select zero, 1, or more than 1. There is/are ? line(s) of symmetry.​

Answers

Answer:

This Symbol has 4 lines of Symmetry

A rectangular. Garden bed measures 8 x 6 feet a water faucet is at one corner of the bed hose must be long enough to reach opposite corner when stretched straight. Find required length of hose

Answers

Answer:

10 ft

Step-by-step explanation:

The word problem is basically asking the length of one corner of the rectangle to the other. We can split the rectangle up into two right triangles and we will use the Pythagorean theorem to find the hypotenuse or the length from one corner to another. A^2 + B^2 = C^2 A and B are the lengths of the rectangle, 8 and 6. 8^2 + 6^2 = C^2

8^2 = 64 and 6^2 = 36

64 + 36 = 100.

the square root of 100 is 10 so the length of the hose is `10.

Three brothers wunmi, niyi and dare shared a quantity of walnuts in the ratio 3:4:5 if wunmi got 21 walnuts how many did niyi get?
.​

Answers

Answer:

28 walnuts

Step-by-step explanation:

3 times 7 is 21 so 4 times 7 is how many walnuts niyi gets

Use interval notation to express the following:
The set of all numbers less than 2.

Answers

Answer:

( - infinity, -3 ] [ -2, infinity )

square bracket means it includes the end point.

Step-by-step explanation:

(-∞, -3]U [-2,∞)

can anyone solve 3?

Answers

9514 1404 393

Answer:

  a) $7715.10

  b) $6022.02

  c) 15263.10

Step-by-step explanation:

A calculator or spreadsheet can evaluate the formulas for you using the given parameters.

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal amount, r is the annual rate, n is the number of times interest is compounded per year, and t is the number of years.

The continuously compounded interest formula is ...

  A = Pe^(rt) . . . . where P, r, t are defined as above

Often the function e^x is defined as the exp(x) function.

__

A calculator or spreadsheet can perform rounding for you, but we elected not to confuse the issue with that step. The calculator results below are rounded in the answer list above.

For part (a), we have ignored the fact that 7 years will have an additional week, since there are 1 or 2 extra days (beyond 52 weeks) in each year. Taking that into account adds a penny to the account balance.

The extra day in a leap year affects the account balance in the 8th significant figure. Our balance has only 6 significant figures, so we do not need to be concerned with the effect of a possible leap year in the 3-year period of part (b).

Which coordinate K on the line segment with endpoints J (4,2) and L (4,6) divides JL such that the ratio of JK:KL is 3:1? helpp for finals!!
A. (4,5)
B. (5,4)
C. (4,3)
D. (3,4)

Answers

The answer for this question is letter D . ( 3,4) !!!!

The coordinate of K on the line segment JL is (4,5).

What is section formula?

When a point divides a line segment externally or internally in some ratio, we use section formula to find the coordinates of that point.

Internal section formula

[tex]P(x, y) = (\frac{mx_{2} +nx_{1} }{m+n} ,\frac{my_{2}+ny_{1} }{m+n})[/tex]

Where,

(x, y) are the coordinates of point P.

[tex](x_{1},y_{1} )[/tex] are the coordinates of point A.

[tex](x_{2},y_{2})[/tex] are the coordinates of point B.

m and n are the ratio values in which P divides the line segment AB internally.

According to the given question.

Coordinates of points J and L are (4, 2) and (4, 6) respectively.

K divides the line segment JL in the ration 3:1.

Therefore, the coordinates of K by section formula is given by

[tex]K(x, y) = (\frac{3(4)+1(4)}{3+1} , \frac{3(6)+1(2)}{3+1} )[/tex]

⇒ [tex]K(x, y) = (\frac{12+4}{4} , \frac{18 + 2}{4} )[/tex]

⇒ [tex]K(x, y) = (\frac{16}{4} ,\frac{20}{4})[/tex]

⇒[tex]K(x, y) = ( 4, 5)[/tex]

Hence, the coordinate of K on the line segment JL is (4,5).

Find out more information about section formula here:

https://brainly.com/question/20320420

#SPJ2

PLEASE HELP ME !!!!
At a real estate​ agency, an agent sold a house for ​$358,000. The commission rate is
4.5​% for the real estate agency and the commission rate for the agent is20 ​% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?
The agency made ​$___ on the house.

Answers

Answer:

The agency makes 16110

The agent makes 3222

Step-by-step explanation:

First find the real estate commission

358000 * 4.5%

358000*.045

16110

The agent gets 20 percent of that amount

16110*20%

16110*.2

3222

50 points!
What is the area of triangle xyz? Use special right triangles to help find the height. Leave your answer in terms of radical. Show work.

Answers

tan60=x/12 12tan60=14.3 so area formula: 85.8

Find the quotient of 4x^3-12x² + 8x/ - 4x
O x2 + 3x - 2
O x²-12x + 4
O -x2 – 3x + 2
O x² + 12x - 4​

Answers

Answer:

-x^2+3x-2

Step-by-step explanation:

I think one of the signs are wrong in the equation.

Assume that Z has a standard normal distribution. Determine the value for z that solves each of the following.

a. P(-z < Z < z) = 0.95 (Round your answer to two decimal places (e.g. 98.76))
b. P(-z < Z < z) = 0.99 (Round your answer to two decimal places (e.g. 98.76))
c. P(-z < Z < z) = 0.68 (Round your answer to three decimal places (e.g. 98.765))
d. P(-z < Z < z) = 0.9973 (Round your answer to two decimal places (e.g. 98.76))

Answers

Answer:

a)  P  ( - 1.96  < Z < 1.96 )

b) P  ( - 2.58 < Z < 2.58)

c) P (  -0.995  < Z < 0.995 )

d) P  ( - z  <  Z  < z )     =  P ( ( Z ± 3σ )   then that is close to 1

Step-by-step explanation:

a)  P  ( - z  <  Z  < z )     =   P  ( - 1.96  < Z < 1.96 )

CI = 95 %   significance level  α  = 5 %   α  = 0.05    α/2 = 0.025

z = 1.96

b)  P  ( - z  <  Z  < z )     =   P  ( - 2.58 < Z < 2.58)

CI = 99 %   significance level  α  = 1 %   α  = 0.01    α/2 = 0.005

z = 2.58

c) P  ( - z  <  Z  < z )     =   P (  -0.995  < Z < 0.995 )

CI = 68 %   significance level  α  = 32 %   α  = 0.32    α/2 = 0.16

z ≈ 0.9954

We interpolate in this case

1             ⇒  0.1587

0.99      ⇒  0.1611

0.01    ⇒   0.0024        

 x       ⇒    0.0013       x  =  0.01 *0.0013  /  0.0024  

x =  0.005416

and    z =  0.99 + 0.005416

z = 0.9954

d) P  ( - z  <  Z  < z )     =   P (  - 0.00 < Z < 0. 00)

CI = 0.9973 %   significance level  α  = 0.0027 %   α  = 0.000027             α/2 = 0.0000135

z = 0.00003375     ⇒ z = 0.00

NOTE: The value of α  is too small. The Empirical Rule establishes that 99.7 % of all values in a normal distribution fall in the interval ( Z ± 3σ)

that means all the values. Then the probability of finding the random variable between that range is close to 1 and we can not find in tables a number to approximate just with only two decimal places

Two circles with the same center are called
Select one:
a. externally tangent
b. circumscribed
c. inscribed
d. concentric

Answers

Answer:

d

Step-by-step explanation:

Circles with the same centre are concentric circles

Answer:

concentric

Step-by-step explanation:

as well all know that two circles with the same center are called Concentric and there is no doubt about that

Peter Piper picked a pickled pepper out of a pepper jar. If the probability of drawing a pickled pepper was 2/5,
how many total peppers could be in the jar (psst. you can't have a half of a pepper)?

Answers

Answer:

5

Step-by-step explanation:

2/5 pickled peppers means that there are 2 pickled peppers out of 5 total peppers.

The mean score in an exam given to 40 students is 70. What is the sum of the 40 exam scores? A. 1500 B. 2000 C. 2800 D. 3000​

Answers

Answer:

C

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{40}[/tex] = 70 ( multiply both sides by 40 )

sum = 40 × 70 = 2800 → C

 

The answer do be c doe

What is the difference of the polynomials?
(5x^3 + 4x^2) - (6x^2 - 2x - 9)

Answers:
A.) -x^3 + 6x^2 + 9
B.) -x^3 + 2x^2 - 9
C.) 5x^3 - 2x^2 - 2x - 9
D.) 5x^3 - 2x^2 + 2x + 9​

Answers

Answer:

D

Step-by-step explanation:

We want to find the difference between the two polynomials:

[tex](5x^3+4x^2)-(6x^2-2x-9)[/tex]

Distribute the negative:

[tex]=(5x^3+4x^2)+(-6x^2+2x+9)[/tex]

Rearrange the terms:

[tex]=(5x^3)+(4x^2-6x^2)+(2x)+(9)[/tex]

Combine like terms. Hence:

[tex]=5x^3-2x^2+2x+9[/tex]

Our answer is D.

Next number of 5,11,23,42,69,105,151

Answers

The next number is 1738 aye i’m like hey wassup hello sir yo- jk it’s

The price for digital downloads of music is represented by the linear function f(x) shown on the graph. The price for digital downloads of movies is represented by g(x) = x, where x is the number of movies downloaded and g(x) is the total cost in dollars.

You want to make 2 downloads, and you have $5. Determine the least expensive option.

1. You download 2 songs.
2. You download 2 movies.
3. You download 1 song and 1 movie.
4. You don't have enough money for 2 downloads.

Answers

Answer:

The second answer is the correct one

Step-by-step explanation:

Find the slope of a line that is PRRPENDICULAR to the line that goes between (3,-8) and (5,2).

5
1/5
-5
-1/5
3
-3
1/3
-1/3

Answers

Answer:

-1/5

Step-by-step explanation:

Slope of the line = (y2-y1)/(x2-x1)

(2-(-8)/(5-3)

10/2 = 5

Perpendicular line = the slope is opposite of the reciprocal

-1/5


v
=

20
L
v
=
20
L


to estimate the speed of a car,
v
v
, in miles per hour, based on the length,
L
L
, in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 168 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.

Answers

Answer:

sorry no idea hhcchuucghhf

Assume that the tunnel in Exercise 3.132 is observed during ten two-minute intervals, thus giving ten independent observations Y1, Y2,..., Y10, on the Poisson random variable. Find the probability that Y > 3 during at least one of the ten two-minute intervals

Answers

Answer: hello the exercise is missing from your question below is the missing exercise for reference

answer:

0.1745

Step-by-step explanation:

Determine  P ( Y > 3 )

Given that y follows Poisson distribution with mean

P( Y = y ) = [tex]\frac{e^{-1} }{y!}[/tex]

assuming that yi represents number of autos that will enter the tunnel and

also let A represent Y > 3 at one of the ten two-minute interval

step 1 : hence finding  P(A )

= P(Y > 3 ) = 1 - P( Y≤ 3 )

= 1 - [ [tex][\frac{e^{-1} }{0!} +\frac{e^{-1} }{1!} +\frac{e^{-1} }{2!} +\frac{e^{-1} }{3!} ][/tex]

= 0.018988

since the ten observations are independent

P(X≥ 1 ) = 1 - P( X = 0 )

            = 1 -  [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right][/tex]  * (0.018988)^0 ( 1 - 0.018988)^10-0

            = 1 - 0.8255 = 0.1745

                 

I have 8 carrots my Brother Ate 2
How Much I have left?​

Answers

Answer:

6?

Step-by-step explanation:

..........................

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