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
Anna35 [415]
3 years ago
9

Can someone explain this? :)

Mathematics
2 answers:
Alchen [17]3 years ago
6 0

I'll do part (a) to get you started.

The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.

We also see that b = 123 as well since a = b (they are vertical angles).

Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.

c+123 = 180

c = 180-123

c = 57

-------------------------

To summarize, we have these three angles

a = 123

b = 123

c = 57

ruslelena [56]3 years ago
3 0

Answer:

a)      a=57°    b=123°   c=123°

b)     f=98°  d=98°   e=98°

c)     g=75°    h=75°

Step-by-step explanation:

a) a°+123°=180°  (angle on a straight line=180°)

    a°=180°-123°

     a°=57°

  b°=123°  (alternative angles)

  c=123°   (vertically opposite angles are equal)

b)f+82°=180°  (angle on a straight line=180°)

   f=180°-82°

   f=98°

  f=d (corresponding angles are equal)

   d=e  (vertically opposite angles are equal)

c)  h=75°  (corresponding angles are equal)

    g=h  (vertically opposite angles are equal)

You might be interested in
The production function f(x) gives the number of units of an item that a manufacturing com pany can produce from units of raw ma
makvit [3.9K]

Answer:

Step-by-step explanation:

Recall that the notion of the derivative of a function is the rate of change of it. So it kind of tells us how much the value of functioin changes as the independt variable increases or decreases. If it is positive, this means that the function will increase as the indepent variable increases, and if it is negative, that means that the function will decrease as the indepent variable increases.

a) Since f(x) is the number of units you can make out of x units of raw material, it is natural to think that the more material you have, the more units you can make, so we expect f'(x) to be positive.

b) The company buys each unit of raw material at the price w. So the product wx represents the total cost of the raw material used to produce f(x) units. Since each produced unit is sell at the price of p, then the product pf(x) represents the total income for selling all f(x) units.Recall that the profit is the difference between the total income and the total cost of production. Hence, the profit in this case is represented by the formula pf(x)-wx.

c) Recall that a function h(x) that is differentiable attains it's maximum when it's derivative is 0 and it's second derivative is negative.

In this case, we know that the derivative of the profit function, evaluated at x* must be 0, since it is a maximum. So, using the rules of derivation, we know that the derivative of the profit function is pf'(x)-w. Hence,

pf'(x*)-w =0. From where we know that f'(x*)=w/p.

5 0
3 years ago
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be c
I am Lyosha [343]

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

5 0
3 years ago
PLEAS HELP WILL GIVE FREE BRAINLY AND 10 POINTS
sasho [114]
It’s casey. when compared to other fractions, it stands supreme.
7 0
3 years ago
Read 2 more answers
What is 2/3 times 26 but estimated ?
Elena-2011 [213]
It would be about 17, I think
3 0
3 years ago
Read 2 more answers
What’s the answer to 4x(x+3) &lt; -24
NARA [144]

The answer to the inequality is expressed as x< 1 and x< -4

<h3>What are inequalities?</h3>

Inequalities are mathematical expressions having both sides unequal or rather not equivalent to each other.

Given the inequality;

4x (x+3) < -24

First, expand the bracket

4x² + 12x < -  24

Let's turn to quadratic inequality

4x² + 12x - 24 < 0

Factorize further

4 ( x² + 3x - 4) < 0

4 ( x² + 4x - x - 4) < 0

4 ( x(x + 4) - 1 (x + 4) ) < 0

4(x - 1) ( x + 4) < 0

expand the bracket

4x - 4 < 0

x < 1

And

4x + 16 < 0

x < -4

Thus, the answer to the inequality is expressed as x< 1 and x< -4

Learn more about inequalities here:

brainly.com/question/25275758

#SPJ1

6 0
1 year ago
Other questions:
  • Geometry help please i really appreciate it
    6·1 answer
  • [x-(3-5i)][x-(3+5i)]
    13·1 answer
  • Write the equation of the line in slope intercept form of the line passing through (-4,3) that is perpendicular to y-1=2(x+2)
    9·1 answer
  • PLZ HELP!!!!!!!!! DUE TODAY
    14·2 answers
  • Factor 48m+42n to identify the equivalent expressions.
    6·1 answer
  • 2 Write the equation of the line that goes
    14·1 answer
  • 14. Write the ratio of 2 cups of apple juice to 5 cups of orange juice the 3 different ways.
    8·1 answer
  • At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill ow much would the sales tax be on $66 meal What is
    13·1 answer
  • Audrey's father gave her 20 tokens to use at Action
    14·2 answers
  • PLEASE HELP ME ANSWER THIS I WILL GIVE BRAINLIEST FOR SMARTEST ANSWER!!!SHOW ALL WORK TOO
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!