The diagram shows three straight lines.
с
110°
b
а
21
Work out the sizes of angles a, b and c.
b=
+
+

The Diagram Shows Three Straight Lines.110b21Work Out The Sizes Of Angles A, B And C.b=++

Answers

Answer 1

Answer:

a=21°b=70°c=89°

Step-by-step explanation:

a=21°[by vertical opposite angle]

b+110°=180°[by linear angle]

b=180°-110°=70°

a+b+c=180°[by sum of all angle]

21°+70°+c=180

91°+c=180°

c=180°- 91°

c=89°

Answer 2

To find the sizes of angles a, b, and c, we need to use the properties of straight lines and angles. Since angles on a straight line add up to 180 degrees, we have: Angle a = 21°, Angle b = 159°, Angle c = 159°

Angle b: We know that the sum of angles on a straight line is 180°. Angle b and angle a are on a straight line, so we can write the equation:

b + a = 180°

Given that angle a is 21°, we can now solve for angle b:

b + 21° = 180°

b = 180° - 21°

b = 159°

Angle c: Angles b and c are vertically opposite angles, which means they are equal in measure. So, we have:

c = 159°

Angle a: We already know the measure of angle a:

a = 21°

To know more about angles

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Related Questions

5(-2n+4)
what's the answer​

Answers

-8n +26

I think so I remember doing this.


Complete the table.

Answers

Answer:

40

60

Step-by-step explanation:

20÷2=10

10×4=40

10×6=60

Answer:

3 min would be 30 min walking

Step-by-step explanation:

the ratio is 1 : 10

so every x the y will be 10 time x

so 4 --> 40

6 --> 60

Which of these is equal to the value of 9 – (–5)?



–9 – 5


9 + 5


9 – 5


–9 + 5

Answers

Answer:

b) 9 + 5

Step-by-step explanation:

→ 9 - (-5)

→ [ 9 + 5 ] = 14

So, option (b) is answer.

please please please please please answer A through D

Answers

Answer:

A: Yes, As more gallons are used the longer the shower is

B: 5 minutes, 20 minutes

C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes

D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)

(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer

Step-by-step explanation:

A: Yes, As more gallons are used the longer the shower is

B: 5 minutes, 20 minutes

C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes

D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)

(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer


I need help
With this question ASAP PLS

Answers

10 times!!!!!!!!!!!!

Help I am trying to get good grades and because I want a phone for my birthday please help!!

Answers

Answer:

3:24 = 1:8

Step-by-step explanation:

for every 8 faces, there is 1 tongue

an acting troupe is holding a performance in an arena they are selling child tickets for $2 and adult tickets for $4 the arena can hold at most 200 people and the troupe is hoping to make atleast $400 in ticket sales graph the inequalities

Answers

16x617x737 for the name of preppy

Hideki buys 2 sweaters for $18 each. He can use one of the following coupons:

Coupon 1: Buy one, get one 40% off

Coupon 2: 25% off entire purchase

Which coupon should Hideki use to get a better deal

Answers

Answer:

25% of the entire purchase

Step-by-step explanation:

18×1.60= 40%=28.8 18+18=36 36×.75=25%=27

x+5y=17
-4x+3y=24
how to solve this problem ​

Answers

Answer:

okay so x=-3, y=4

Step-by-step explanation:

based off the top of my head -3+5*4=17 and -4*-3=12 12+3*4=24

Answer:

x=-3 ,y=4

Step-by-step explanation:

x+5y=17------(i)

-4x+3y=24------(ii)

use substitution method

x+5y=17

make x subject of the formula

x=17-5y-----(iii)

substitute equation (iii) into equation (ii)

-4x+3y=24

-4(17-5y)+3y=24

-68+20y+3y=24

23y=24+68

23y=92

divide both sides by 23

y=92/23

y=4

substitute y in equation (iii)

x=17-5y

x=17-5(4)

x=17-20

x=-3

Consider the polynomial function g(x)=-10x^7-9x^5+7x^3-8x.

What is the end behavior of the graph of g?

Answers

Answer:

the graph rises to the left and falls to the right.

the answer is B

Step-by-step explanation:

The polynomial function [tex]g(x)=-10x^7-9x^5+7x^3-8x.[/tex]. Option B is correct. When x ---> ∞ , g(x) --> -∞ and when x --> -∞, g(x) --> ∞ .

Given that,
polynomial function [tex]g(x)=-10x^7-9x^5+7x^3-8x.[/tex]

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

What is range?

The Range, it is the set of the values that come out to an outcome for a certain mathematical operation.

Since, In the question, polynomial function [tex]g(x)=-10x^7-9x^5+7x^3-8x[/tex] is given,
When the value of x = (0, +∞)
           range of g(x) = (0, -∞)
Whn the value of x = (0, -∞)

             range of g(x) = (0, +∞).

Thus, the polynomial function [tex]g(x)=-10x^7-9x^5+7x^3-8x.[/tex]. Option B is correct. When x ---> ∞ , g(x) --> -∞ and when x --> -∞, g(x) --> ∞ .

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What would be the slope of the line that passses through 4, 5 and 7, 6

Answers

Use the formula:
y2-y1
———
x2-x1

So for this problem it would be:

6-5
——
7-4

= 1

3

Hope this helped, if it did I would appreciate it if you would consider giving me brainliest!

If you make a histogram's intervals smaller, and its vertical scale stays the same, which of these statements will be true? A. The height of the bars will decrease. B. The total number of bars will decrease. C. The width of the bars will increase. D. Each bar will represent more data items than before.

Answers

It will be c because you are doing the scale of the smaller vertical

Which number is the best estimate for the fraction 29/40?
A) 0.5
B) 0.6
C) 0.7
D) 0.8
I know it’s B I just don’t know the explanation for it. Please help me. The question is on desmos

Answers

Answer:

Its actually C

Step-by-step explanation:

|So you first divide 29 from 40. You will need to long divide...because 40 cant go into 29. you will put a 0 on the top then you will put a decimal behind the 0 representing your going into the tenths, and then from there you just divide like you usually do.

Hope you get it, if you need more explanation please tell me :)

The answer to this question is C

Show that each figure is the given type of quadrilateral. Show that BCDE is a rectangle

Answers

Need more information

2. Which is greater a. 25% of 15 b. 15% of 25​

Answers

Answer:

Hi! The correct answer is they're equal!

Step-by-step explanation:

Answer:

The correct answer to this equation is that they are equal

Step-by-step explanation:

you do math

Write the fraction as a percent.
1/400

Answers

Answer:

0.25%

Step-by-step explanation:

Answer:

0.25%

Step-by-step explanation:

1/4 = 0.25

1/40 = 0.025

1/400 = 0.0025 = 0.25%

Answer: 0.25%

Josh deposited 1500 into a savings account at his nearby bank. The bank’s interest rate is 3%. He does not deposit or withdraw any money for the next 4 years. How much interest will he gain after the fourth year?

Answers

Answer:

188.27

Step-by-step explanation:

divide the starting number (1500) by 100 to get 1% then times by 3 to get the new number for tje start of tje next year.

After 1st- 1545

after 2nd year = 1591.35

After 3rd = 1639.1005

After 4th= 1688.273515

what he gained is 1688.273515-1500= 188.273515.

now round to 2 decimals = 188.27

Write the following number in scientific notation:
4, 332

Answers

4.332 x 10³

Step-by-step explanation:

hope it helps!

The triangle shown below has an area of 75^2
Find the missing side.

Answers

Answer:

5

Step-by-step explanation:

use pythagorean theorum and 75 is area. base is 2 and height is 2. base/2 ^2 = 1

1^2 + 2^2 = 5

solve algebraic equations with variables on both sides of the equation

6x + 2 = 8

Answers

Answer:

x = 1

Step-by-step explanation:

First, you have to eliminate the "2," leaving it as, 6x=6.

Then divide, which will leave the equation to x=1.

what is the measure of

Answers

Answer:

100degrees or D

Step-by-step explanation:

Answer:

the measure of x is 100 degrees

Step-by-step explanation:

Help Me PLZZZZZZZZZZ.

Answers

it’s a bit blurry i can really read it

A system of equations is when there are 2 or more equations. When does a system of equations have no solution? Also, create an example of 2 equations that would demonstrate that situation.

Answers

Answer:

Step-by-step explanation:

The solution is the set of points where all the equations intersect. If there is no such point, there is no solution.

For example,

y = 8

y = 6

These are parallel lines with no points in common.

pls help me!! thank you!!

Answers

Answer:

4

Step-by-step explanation:

4 is the answer :))) good luck

at the end of dinner a restaurant had several dishes of quiche each with 2/6 size pieces of quiche. the chef was able to combine these pieces to make 2 whole quiches wuth no leftover. how many dushes did the chef combine

Answers

Answer:

6 dishes

Step-by-step explanation:

since he made 2 dishes and there is a two in the numerator, all we have to do is multiply by 6 to get 2 by itself

when tge united states is in tge dark whatvare some places on the globe that are light​

Answers

Answer:

Argentina and Chile!

- •Promise• {Kacchan}

A binary communication channel carries data as one of two sets of signals denoted by 0 (zero) and 1. Owing to noise, a transmitted 0 is sometimes received as a 1, and a transmitted 1 is sometimes received as a 0. For a given channel, it can be assumed that a transmitted 0 is correctly received with probability 0.95 and a transmitted 1 is correctly received with probability 0.75. Also, 70% of all messages are transmitted as a 0. If a signal is sent, determine the probability that a 1 was received.

Answers

Answer:

26% probability that a 1 was received.

Step-by-step explanation:

We have these following probabilities:

70% probability that a message is transmitted as a 0.

100 - 70 = 30% probability that a message is transmitted as a 1.

If a message is transmitted as a 0, 95% probability of being received as a 0 and 5% probability of being received as 1.

If a message is transmitted as a 1, 75% of being received as a 1 and 25% probability of being received as a 0.

If a signal is sent, determine the probability that a 1 was received.

5% of 70%(Sent 0, received 1) of 75% of 30%(sent 1 and received 1). So

[tex]p = 0.05*0.7 + 0.75*0.3 = 0.26[/tex]

26% probability that a 1 was received.

Compare using > (greater than) , = (equal) , or < (less than). 3 _____ -3 12 _____ 24 -12 _____ -24 5 _____ -5) 7.2 _____ 7.2 -7.5 _____ -7


PLEASE HELP WILL MARK BRAINLIEST!! THANK YOU SOO MUCH GOD BLESS YOU!!

Answers

Answer:

See below.

Step-by-step explanation:

3 > -3

12 < 24

-12 > -24

5 > -5

7.2 = 7.2

-7.5 < -7

Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed in miles per minute? *

Answers

Answer:

1= 25 minutes i believe

Step-by-step explanation:

Students in Mr. Hill’s class were asked how many TV shows they watched last weekend. The results are shown on the line plot. A line plot titled Amount of T V Watched. A number line goes from 0 to 7 and represents the number of T V Shows. There are 4 marks above 0, 2 marks above 1, 4 marks above 2, 3 marks above 3, 1 mark above 4, 2 marks above 5, 1 mark above 6, 3 marks above 7. Which statement about the number of TV shows watched is accurate? Half of the students watched fewer than two TV shows. More than half of the students watched three or more TV shows. Fewer than one-quarter of the students watched five or more TV shows. Half of the students watched fewer than two shows or more than five shows.

Answers

Answer:

i think it is b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Plz mark brainliest

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