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
irina [24]
3 years ago
13

In the figure below, k || o. Find the values of x and y. 78 (6y- 108)°

Mathematics
1 answer:
enyata [817]3 years ago
4 0

Answer:

x = 102 , y = 35

Step-by-step explanation:

x and 78 are same- side interior angles and sum to 180° , that is

x + 78 = 180 ( subtract 78 from both sides )

x = 102

x and 6y - 108 are vertically opposite angles and are congruent , so

6y - 108 = 102 ( add 108 to both sides )

6y = 210 ( divide both sides by 6 )

y = 35

You might be interested in
Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as a sum, difference,
Leya [2.2K]

Answer:  \dfrac{1}{3}[\ln (x+1)+\ln(x-1)]

Step-by-step explanation:

Properties of logarithm :

  1. \log (ab)= \log a+\log b
  2. \log(\dfrac{a}{b})=\log a-\log b
  3. \log a^n= n\log a

The given expression in terms of Natural log : \ln (x^2 - 1)^{\frac{1}{3}}

This will become \dfrac{1}{3}\ln (x^2 - 1)      [ By using Property (3)]

=\dfrac{1}{3}\ln (x^2-1^2)

=\dfrac{1}{3}\ln ((x+1)(x-1))   [\because a^2-b^2=(a+b)(a-b)]

=\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]   [ By using Property (1)]

Hence, the simplified expression becomes \dfrac{1}{3}[\ln (x+1)+\ln(x-1)] .

5 0
3 years ago
Find the value of w,then x. Round to the nearest tenth
andreyandreev [35.5K]

Answer:

A

Step-by-step explanation:

12 / tan 42 = 13.32......

12 / sin 27 = 26.43....

26.43² - 12² = 552.24....

square root of 552.24... = 23.5

23.5 - 13.3 = 10.2

7 0
3 years ago
Plz help me answer this!!!!
Ivahew [28]

Answer:

youre answer will be 17 and 87

6 0
3 years ago
What is the greatest common factor of 81, 135, and 216?
nexus9112 [7]
The greatest common factor is 27. Hope this helps!
6 0
3 years ago
Which answer is the ratio of a to b?
Len [333]
A to b
a = 1
b = 3

Ratio is:
1 to 3 which is also 1 : 3 or \frac{1}{3}

(\frac{3}{9} is an equivalent ratio since it simplifies to \frac{1}{3})
4 0
3 years ago
Other questions:
  • Over what interval is the function in this graph decreasing
    10·2 answers
  • Grant is paining a rectangular board that has a width of 1/3 foot. He has enough paint to cover 3 square feet. If he is able to
    5·1 answer
  • Give an example of an irrational number that is greater than 0
    9·1 answer
  • How do u find the area of a regular polygon? And can someone help me with question 2
    7·1 answer
  • Maria is planning a party. Nancy, her friend, suggest that she should order three pizzas for every seven people. If she is expec
    8·1 answer
  • Two drivers are exploring the bottom of a trench in the Pacific Ocean. Dominic is at 175 feet below the surface of the ocean and
    12·1 answer
  • Ok so I wanna if my answer is right so
    9·1 answer
  • What is 15/y+11 - 10/y+3 = 0
    5·2 answers
  • Which of the following statements uses the additive identity?
    8·1 answer
  • Enter <, >, or = to make the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!