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
lara [203]
3 years ago
5

Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
5 0

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°

You might be interested in
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random s
wel

Answer:

95%: (3278.354 ; 3270.083)

99% : (3221.646 ; 3278.354)

Step-by-step explanation:

Given :

Sample size, n = 12

Mean, xbar = 3250

Sample standard deviation = √1000

The 95% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.05, df=12-1 = 11 ;

Tcritical at 95% = 2.20

Hence,

Margin of Error = (2.20 * √1000/√12) = 20.083

Confidence interval : 3250 ± 20.083

Lower boundary = 3250 - 20.083 = 3229.917

Upper boundary = 3250 + 20.083 = 3270.083

2.)

The 99% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.01, df=12-1 = 11 ;

Tcritical at 99% = 3.106

Hence,

Margin of Error = (3.106 * √1000/√12) = 28.354

Confidence interval : 3250 ± 28.354

Lower boundary = 3250 - 28.354 = 3221.646

Upper boundary = 3250 + 28.354 = 3278.354

3 0
3 years ago
Use function notation to represent the average speed of the car on the interval from t = 2 to t = 7 .
Afina-wow [57]

Answer:

Average\ Speed = \frac{s(7) - s(2)}{5}

Step-by-step explanation:

Given

t = 2 to 7

Required

Find the average speed over these intervals

The function is not given; so, I'll represent the function as s(t)

When t = 2;

s(t)= s(2)

When t = 7

s(t) = s(7)

Average\ Speed = \frac{Change\ in\ Distance}{Change\ in\ Time}

This gives:

Average\ Speed = \frac{s(7) - s(2)}{7 - 2}

Average\ Speed = \frac{s(7) - s(2)}{5}

5 0
3 years ago
1. 800 divided by 4
grigory [225]
I did the work for you. I also showed my work. Hope it helped

4 0
3 years ago
What is the domain and range of f(x)=2.5x when x goes up to 800
Mandarinka [93]

Answer:

Domain:  all real numbers.  Range:  (-∞, 2000]

Step-by-step explanation:

f(x)=2.5x is a simple "ramp" function, a linear function and a polynomial.  As such, its domain contains "all real numbers."  That value 800 defines the largest value that this f(x) can have:  f(800) = 2.5(800)  = 2000.  

Thus, the range is "all real numbers from -∞ through and including 2000."

3 0
3 years ago
What is the slope of this line?
DedPeter [7]

Answer:

1/4 is the clope of the line

Step-by-step explanation:

a slope is just a rise ofver run from one dot to anothor so you go up 1 and over 4 and if you dont do the 2 dots that are closest to each other you have to simplify you r exspresion you will always get 1/4 on this graph

5 0
2 years ago
Other questions:
  • Prove that f(x)=2x+4 and g(x)=x-4/2 are inverses of each other. SHOW YOUR WORK.
    5·1 answer
  • The sun of three numbers is 19. The sum of twice the first number, 5 times the second number, and 6 times the third number is 77
    13·1 answer
  • HELPP!!! BRAINLYESTTTTT!!!!!!<br><br><br> GRAPH THE FUNCTION:
    5·1 answer
  • Using the identity ( x+a) 9x+b) = x2 + (a+b)x +ab, find the following product: (4p+3q)(4p+7q)
    14·1 answer
  • Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 363636 feet^3 3 cubed. Syrus isn't sure if
    14·1 answer
  • Can someone please help me find the range
    11·1 answer
  • I NEED THIS ASAP!!!!!!!!
    8·2 answers
  • What is the circumference of the circle? (use 3.14 for pi)
    10·1 answer
  • A 26-foot ladder is placed against a house and reaches the 24-foot roof. If you want to find the distance between the base of th
    15·1 answer
  • What is the arc measure of major arc ABC in degrees?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!