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
omeli [17]
2 years ago
15

Line AE and line DF are parallel. If m∠ABG = 12x and m∠HCF = 11x + 9, what is m∠HCF?

Mathematics
2 answers:
SCORPION-xisa [38]2 years ago
7 0

Answer:

108 degrees

Step-by-step explanation:

vladimir2022 [97]2 years ago
3 0

Answer:

C. 108°

Step-by-step explanation:

  • ∠ABG and ∠HCF are alternate exterior angles which mean they are congruent (equal in measure)
  • So, if 12x = 11x+9, use railroad tracks to solve

12x = 11x + 9 \\-11x    -11x\\---------------------\\x = 9

  • Now substitute 9 in for x in the equation for ∠HCF

11x+9 = ∠HCF

11(9) + 9 = ∠HCF

99 + 9 = ∠HCF

108 = ∠HCF

You might be interested in
what is the value,7years,of a 2014 ford mustang that originally costs 25000.00 if it depreciates at the rate of 8% per year? rou
Andrew [12]
The depreciated value is given by
.. v(t) = $25,000*0.92^t . . . . . t in years
Then
.. v(7) = $25,000*0.92^7 ≈ $13,946
8 0
3 years ago
Read 2 more answers
A tiny but horrible alien is standing at the top of the Empire State Building (which is
Leto [7]

Answer:

87.7 degrees.

Step-by-step explanation:

In triangle ABC, attached.

The height of the building |AB|=443 meters

The distance of the agent across the street , |BC|=18 meters

We want to determine the angle at C.

Now,

Tan C=\dfrac{|AB|}{|BC|} \\C=arctan (\dfrac{|AB|}{|BC|} )\\=arctan (\dfrac{443}{18} )\\=87.67^\circ\\\approx 87.7^\circ $(correct to the nearest tenth)

The agent should sfoot his laser gun at an angle of 87.7 degrees.

7 0
3 years ago
7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?
Sophie [7]

Answer:

Step-by-step explanation:

This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.

Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!

The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is

(12!/5!)/12^7 = 12!/(12^7 5!)

Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:

1 - 12!/(12^7 5!)

6 0
3 years ago
Completely factorize (2x+3)^-2 + 2x(2x+3)^-3
Alexxx [7]
Hello,

\dfrac{1}{(2x+3)^2} + \dfrac{2x}{(2x+3)^3} \\

= \dfrac{(2x+3)+2x}{(2x+3)^3}\\

= \dfrac{4x+3}{(2x+3)^3}
4 0
3 years ago
WHAT IS THE ANWSER TO<br> 6(G+9)=
k0ka [10]


6(G+9)

you have to use the distributive property.

6*G=6G

6*9=54

answer is 6G+54


6 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP!!!
    10·1 answer
  • Please Help, Due Soon<br><br><br>What is −1/2 − (−4/5)<br><br><br>= x
    14·1 answer
  • Stephanie has a recipe that calls for
    9·1 answer
  • Pls answer its khan academy I really need it
    10·1 answer
  • A line is reflected. Which of these could be the result?<br> O A.<br> B.<br> O c.<br> /<br> OD.
    14·2 answers
  • The line plot shows the distances, in miles, run by joggers in a park.
    13·2 answers
  • If the expression (x + 5 )to the 6th is expanded what is the coefficient of the linear X term?​
    11·1 answer
  • Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of
    7·1 answer
  • Help lol i don’t understand this
    5·1 answer
  • FACTOR COMPLETELY<br><br> x^2-7x+7y-y^2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!