1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elis [28]
3 years ago
9

In a ABC shown below, side AC is extended to point D with m Z DAB= (180 – 3x) °, mZ B= (6x – 40) °, and m ZC = (x+20) °.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

60°

Step-by-step explanation:

Given :

DAB= (180 – 3x) °,

mZ B= (6x – 40) °, and

m ZC = (x+20) °.

DAB = mZ B + m ZC ( the exterior angle equal the sum of the two opposite interior angles)

180 - 3x = (6x - 40) + (x + 20)

180 - 3x = 6x - 40 + x + 20

180 - 3x = 6x + x - 40 + 20

180 - 3x = 7x - 20

180 + 20 = 7x + 3x

200 = 10x

x = 200/10

x = 20

Angle B = 6x - 40 = 6(20) - 40 = 120 - 40 = 80

Angle C = x + 20 = 20 + 20 = 40

BAC = 180 - (80 + 40) (SUM OF ANGLES IN A TRIANGLE)

BAC = 180 - 120

BAC = 60°

You might be interested in
Please help, Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.
Setler79 [48]

Answer:

C. Up.

Step-by-step explanation:

We have been given that the parent function y=\sqrt{x} is transformed to the function y=\sqrt{x+7}+5. We are asked to describe the given transformation.

Let us recall the transformation rules.

f(x+a)=\text{Graph shifted to left by a units},

f(x-a)=\text{Graph shifted to right by a units},

f(x)+a=\text{Graph shifted upwards by a units},

f(x)-a=\text{Graph shifted downwards by a units}.

Upon comparing our transformed function with the parent function, we can see that the graph is shifted to left by 7 units and upwards by 5 units.

Therefore the correct choice is option C.

5 0
3 years ago
Read 2 more answers
What is the box-and-whiskers plot used to show?
Ad libitum [116K]

Answer:

c. median

Step-by-step:

it shows you the numbers you got the most with the box and the whiskers are the outliers.

3 0
3 years ago
Read 2 more answers
50 POINTSSSSSS PLS HELP ME ITS MATHHHHHH<br><br> dont take my points i really need this done
andrew11 [14]

Answer:

1a: 1,000,000

2a: 1

3a: 6

4a: 0

5a: 1

6a: 1

7a: 9

1b: 1

2b: 1

3b: 1

4b: 1

5b: 1

6b:49

7b: 1

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Tara and jodys bedrooms are shaped like rectangles . Tara bedroom is 9 feet long and 8 feet wide. jodys bedroom is 7 feet long a
evablogger [386]
We know that the area of a rectangle is A=L*W
A of Tara's bedroom,
A(Tara)=9*8=72 square feet
A(Jody)=7*10=70 square feet

Tara's bedroom has a greater area
7 0
3 years ago
Whitch is the value of this expression when a=5 and k=-2
lana66690 [7]

Answer:

25/9

Step-by-step explanation:

25/9

7 0
3 years ago
Other questions:
  • 91 more than the square of a number
    11·2 answers
  • Leonardo correctly answered 0.8 of the questions on his message Liam correctly answered 9/10 of the questions Kiara correctly an
    10·2 answers
  • Which is smaller , 13/20 or 60% ?
    7·2 answers
  • Solve for X<br> 13<br> 6<br> 2x – 18<br> U<br> 4x - 29<br> PLEASE HELP!
    7·2 answers
  • Which of the following best describes the algebraic expression 7(x-9)+14?
    9·1 answer
  • Exterior angle shown, solve for x.
    12·1 answer
  • Is it A or C<br> And I need a explanation <br> Please <br> I already found slope ,
    14·1 answer
  • Dakota arrived at school at 7:59 a.m. He left at 2:33 p.m. How long was Dakota at school
    11·1 answer
  • A girl chooses an item atrandom from 12 shirts and 16 tops. What is the probability that the gir does not choose a shirt?​
    5·1 answer
  • Ill mark brainlist plss help
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!