14.Find the value of <A in the following figure.

14.Find The Value Of &lt;A In The Following Figure.

Answers

Answer 1

Given:

The figure of triangle ABC.

To find:

The measure of angle A.

Solution:

From the given figure, we get

[tex]\angle ABC+120^\circ=180^\circ[/tex]                 (Linear pair)

[tex]\angle ABC=180^\circ-120^\circ[/tex]

[tex]\angle ABC=60^\circ[/tex]

According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.

[tex]\angle A+\angle ABC=105^\circ[/tex]          (Exterior angle theorem)

[tex]\angle A+60^\circ=105^\circ[/tex]

[tex]\angle A=105^\circ-60^\circ[/tex]

[tex]\angle A=45^\circ[/tex]

Therefore, the measure of angle A is 45 degrees.


Related Questions

Expression 3x²+4x-5
x=0​

Answers

Answer:

x = {1/3, 0}

Step-by-step explanation:

Helpppppppppppppppppppppp

Answers

Answer:

20

Step-by-step explanation:

(2x)° + (2x)° + (6x - 20)° = 180°

10x = 200

x = 20

What is the measurement of angle B*
A
112
с
51

Answers

A? The angle is 197° and the measurement for c seems too short while the measurement for A is longer and seems like the same measurement as B

What is the slope of the line through the points (4, -7) and (9, 2)?

Answers

the answer

y/x so its 9/5

y = 5x - 1
10x - 2y = 2

Answers

Answer:

0 = 0 =>  Infinitely many solutions

Step-by-step explanation:

The diameter of a circle is 6 ft. Find its area to the nearest tenth.

Answers

The diameter of a circle is 6 ft. Find its area to the nearest tenth.28.274ft²Steps:

Formulas:

A= πr²

d= 2r

Solving:

A=14πd²=14·π·6²≈28.27433ft²

Hope I helped. :)

- Valenteer

(Please mark me as brainliest if this helped, that would be beneficial!)

(Thx for the points!)

Add the polynomials.
(3x² - 7x+2) + (7x2 - 6x)

Answers

Answer:

If by the 7x2 you mean 7x² it will be

10x²-13x+2

what is this question??​

Answers

Answer:

5.1* 10-¹

Hope it helps thank you

Answer:

5.1 x 10^-1

Step-by-step explanation:

Scientific notation of a number less than 1 but greater than 0 involves a negative exponent.

Since the decimal is moving left one place (from 5.1 to 0.51), the exponent will only be 1.

Suppose f(x)= 4x – 2
and g(x) = -2x + 1.

Find the value of

f(-1)/g(-3)

Answers

Step-by-step explanation:

f(-1)=4*(-1)-2=-4-2=-6

g(-3)=-2*(-3)+1=6+1=7

f/g=-6/7

Mr Todd buys 7 drinks at 48p each and 8 drinks at 52p each. What is the total cost of the 15 drinks?

Answers

Answer:

80p

if you are adding 4p every time you add a drink you will be adding 7  drinks therefore you have to do (7x4p) this will equal 28p then you have to add 28p to 52p

Hope this helps

its a me MAAAAAAAAAAAAAAAAAAAAAAAAAAA

how big is the specific ocean?
how do i ask a question?
whats obamas last know btw? does ANYONE KNOW!!!!?!?!?!?!?
WHERE DO LOST SOCKS GO WHEN THEY GO MISSING??
why do my eyes hurt after looking at a picture of the sun;(
what would happen if i hired two private investigators to follow each other...

Answers

Answer:

1. The Pacific Ocean has an area of 63.78 million square miles, an average depth of 3,688 meters, and a volume of 660,000,000km cubed.

2. Use these guidelines when developing questions:

   Plan your questions.

   Know your purpose.

   Open conversation.

   Speak your listener's language.

   Use neutral wording.

   Follow general questions with specific ones.

   Focus your questions so they ask one thing at a time.

   Ask only essential questions.

3.  I don't know XD

4. On an adventure that humans don't know about

5. Depends on the picture of the sun.

6. They would probably be so confused while they tried to follow each other XD

Step-by-step explanation:

Solve for x: x + 16 = -18

Answers

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x+16=−18

Step 1: Subtract 16 from both sides.

x+16−16=−18−16

x=−34

Answer:

x=−34

(On right polynomial) help find equivalent (Left equivalent expressions)

Answers

Answer:

i

Step-by-step explanation:

i

3. A gardener mows 5 out of every 6 days. How many days would he mow
in a 90-day period of time? Plz I really need help ASAP

Answers

Answer:

Step-by-step explanation:

90(5/6)

450/6

75

9514 1404 393

Answer:

  75

Step-by-step explanation:

90 = 6 × 15

There are 15 6-day periods in 90 days. The gardener will have mowed ...

  15 × 5 = 75

times in those 15 periods.

He will mow 75 times in a 90-day period.

__

If you like, you can set up a proportion for the unknown number of mowings (m).

  mows/days = m/90 = 5/6

Multiply by 90 to solve for m.

  m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above

355+480 is the same as 335+ ?

Answers

Answer:

355+480 is the same as 335+500

Step-by-step explanation:

355+480=835

835-335=500

∴355+480 is the same as 335+500

33s^5t^4u^8 ÷ 11st^3u^8

Answers

Answer:

[tex]3s^{4}t\\[/tex]

Step-by-step explanation:

What is AC for brainliest

Answers

Answer : 6.4

Way to do

•Triangle 1

#Find CD first use tan formula

tan(∅) = opposite / adjuscent

tan(45) = CD / 5

CD = 5 × tan(45)

CD = 5

•Triangle 2

#Now you can find AC use Pythagoras theorem (c = AC)

a² + b² = c²

4² + 5² = c²

16 + 25 = c²

41 = c²

c = √41

c = 6.4

so, AC is 6.4

#Give me brainliest ok? im tired writing all of this

Lawrence has $50.
He wants to buy some T-shirts that cost $12 each.

He also wants to have at least $10 left to buy lunch.

Which inequality shows the number of T-shirts, x, Lawrence can buy and still have at least $10 for lunch?

A. x≤3

B.x≥3

C. x≤4

D. x≥4

Answers

Answer:

choice A) =<3

Step-by-step explanation:

x = number of shirts

50 -10 = x(12)

40 = 12x

x = 3 .33

The equation represents the area, A, of a rectangle, in square units.
A = x2 – 3 – 6
Which expression could represent the length of the rectangle, in units?
O (2-3)
O (2-2)
Ox
O 6.2

Answers

Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.

Find the product. - mnp (3 m - 5 n + 7 p ) -3 m2np + 5 mn2p - 7 mnp2 -3 mnp + 5 mnp - 7 mnp -3 m + 5 n2+ 7 p2 3 mnp - 5 mnp + 7 mnp

Answers

Answer:

9mnp

Step-by-step explanation:

Answer:

It's 3m - 5n + 7p lol

Please help me. Thank you so much

Answers

Answer:

x = 10

Step-by-step explanation:

30 POINTS PLEASE HELP!!!
The ratio of two sides of a parallelogram is 3:4 and the perimeter is 28 in. Find the lengths of the sides of the parallelogram.

Answers

Answer:

the lengths of sides are 8 and 6.

Step-by-step explanation:

Let us denote side lengths of the parallelogram as x and y.  

Then first condition can be written as x/y=3/4.

Second condition can be written as 2x+2y=28.

We can multiply both sides of the first equation by y and get x=(3y)/4.

Now we have x expressed in terms of y. It is convenient because we can substitute x in the second equation:

 

2(3y/4)+2y=28  

And we can solve it for y.

1.5y+2y=28

3.5y=28

y=8

What is left is to find x. We may use the expression for x again: x=(3*8)/4=6

Ans: the lengths of sides are 8 and 6.

What is the value of x?
Enter

X :

(Look at the photo)

Answers

Answer:

x = 20

Step-by-step explanation:

Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.

3x + 50 = 6x - 10

Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.

50 = 3x - 10

Move the 10 to the left by adding it to both sides.

60 = 3x

Divide the 3 from both sides to isolate the x.

x = 20

Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.

3(20) + 50 = 6(20) - 10

110 = 110

Which number is prime?
A. 21
B. 23
C. 25
D. 27

Answers

B. 23


Hope this helps!!!!!!

Answer:

23

Step-by-step explanation:

Amelia's water bottle holds 4 pints, 2 cups. How many cups does Amelia's water bottle hold? Note: 1 pint = 2 cups​

Answers

Answer:

10 cups

Step-by-step explanation:

4x2=8. 8+ the 2 cups in the beginning would be 10 cups.

What number comes after quintillion?

Answers

Answer:

1 quintillion and 1.

Step-by-step explanation:

This is the number written out:

1000000000000000001

Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the other.

Answers

Answer:

12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

Distance = 20 kmTime difference = 20 min = 1/3 hrSpeed difference  = 2 km/h

As per above info we get following equations:

s = d + 220/s + 1/3 = 20/d

Substitute s and solve for d:

20/(d + 2) + 1/3 = 20/d

Get rid of fraction by multiplying all terms by 3d(d + 2):

60d + d(d + 2) = 60(d + 2)60d + d² + 2d = 60d + 120d² + 2d = 120d² + 2d + 1 = 121(d + 1)² = 11²d + 1 = 11d = 10

Find s:

s = 10 + 2 = 12

The answer is

Masha's speed 12 km/h and Dasha's speed 10 km/h

Please answer step by step:



-4=2x+16

What does x equal?

x=____?

Answers

Answer:

Step-by-step explanation:

-4=2x+16

-16. -16

-20=2x

20/2=2x/2

10=x

The graph of a sinusoidal function intersects its midline at (0,-2) and then had a minimum Point at (3pi/2,-7)
Write the formula of the function, where x is entered in radians.
f(x)= ?

Answers

Answer:

f(x)=-5sin (1/3x)-2

Step-by-step explanation:

The formula of the function, where x is entered in radians is f(x) =  [tex]5sin(\frac{\pi x}{2})-2[/tex]

What is Sinusoidal function?

A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function

Given,

Midline is at (0,-2)

minimum point at [tex](\frac{3\pi }{2},-7)[/tex]

Therefore, the function is line with amplitude = -2-(-7)=5

No phase shift as intersection at 0.

Vertical shift is -2

Then,

f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Learn more about Sinusoidal function here

https://brainly.com/question/12060967

#SPJ2

The altitude of an airplane taking off from an airport is represented by
the equation shown, y = 500x + 1050, where y represents the altitude, in
feet, of the airplane and x represents the number of minutes since take-
off. What is the altitude of the airplane after 5 minutes?​

Answers

Answer:

3550 ft.

Step-by-step explanation:

y = 500(5) + 1050

  = 2500 + 1050

  = 3550 ft,

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