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
NemiM [27]
2 years ago
5

Help please asap geometry

Mathematics
1 answer:
zvonat [6]2 years ago
4 0

The solutions for each case are listed below:

  1. x = 65
  2. x = 35
  3. (x, y) = (48, 21)
  4. (x, y) = (15, 8)
<h3>How to solve on systems of linear equation by taking advantage of angle relationships</h3>

In this problem we must solve algebraic equations by taking advantage of angle properties. Now we proceed to solve the variables for each case:

Case 1 - Opposite angles

2 · x - 10 = 120

2 · x = 130

x = 65

Case 2 - Opposite angles

2 · x + 25 = 3 · x - 10

25 + 10 = 3 · x - 2 · x

35 = x

x = 35

Case 3 - Opposite angles generated by two perpendicular lines

2 · y + 50 = x + 44                      (1)

5 · y - 17 = 7 · x - 248                 (2)

- x + 2 · y = - 6

7 · x - 5 · y = 231

x = 48, y = 21

Case 4 - Opposited angles generated by two perpendicular angles

6 · x = 90                     (3)

9 · y + 18 = 90              (4)

The solution to this system of linear equations is (x, y) = (15, 8).

To learn more on systems of linear equations: brainly.com/question/21292369

#SPJ1

You might be interested in
The magnitude, M, of an earthquake is defined to be M = log StartFraction I Over S EndFraction, where I is the intensity of the
uranmaximum [27]

The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is \rm M = log\left ( \dfrac{10S}{S}\right ).

Given

The magnitude, M, of an earthquake is defined to be M = log StartFraction I Over S EndFraction, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable.

<h3>The magnitude of an earthquake</h3>

The magnitude of an earthquake is a measure of the energy it releases.

For an earthquake with 1,000 times more intense than a standard earthquake.

The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is;

\rm M =log \dfrac{I}{S}\\\\M = log \dfrac{10s}{s}\\\\M=log 10\\\\M =1

Hence, the equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is \rm M = log\left ( \dfrac{10S}{S}\right ).

To know more about the magnitude of earthquakes click the link given below.

brainly.com/question/1337665

5 0
2 years ago
Jasmine runs 13kilometers and 76 minutes. how long woukd it take to run 1 kilometers​
k0ka [10]

Answer:

It would take her 5.85 minutes to run 1 kilometer.

Step-by-step explanation:

76/13= 5.846

5 0
3 years ago
Which expressions represent rational numbers? Select all the apply.
RUDIKE [14]

Answer:

the answers are A, B, C, and F

Step-by-step explanation:

just took the quiz

8 0
3 years ago
Read 2 more answers
Find the gradient of the line segment between the points (-4,-5) and (2,-4).
Anna11 [10]

Answer:

   1/6

Step-by-step explanation:

The gradient of the line segment is the same as slope

m = (y2-y1)/(x2-x1)

   = ( -4 - -5)/( 2 - -4)

   = (-4+5)/( 2 +4)

   1/6

8 0
3 years ago
Read 2 more answers
Find the simple interest on Rs. 4500 for 6 months at
Serga [27]
$1350
4500*6*1/2= 1350
3 0
3 years ago
Other questions:
  • The formula for the perimeter of a rectangle is 2l + 2w, where l is the length and width. How can you use the Distributive Prope
    15·1 answer
  • Bob’s last delivery from in oil company was $125.32 a total of 80.5 gallons was delivered what was the price per gallon to the n
    10·2 answers
  • A rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48 and each cubic foot hose 7.5 gallons
    6·1 answer
  • Determine the relationship between x and f(c) in the table below and write the equation
    9·1 answer
  • Kim burns 85 calories per hour hiking. How many calories will Kim burn in h hours?
    5·1 answer
  • In a recent year, 32% of all college students were enrolled part-time. If 8.2 million college students were enrolled part-time t
    10·1 answer
  • Help pls this is due today I give brainliest
    11·1 answer
  • Help please, thank you for everyone helping me finish this!!!
    14·1 answer
  • Central High School plays Eastern High School in a basketball game. Eastern had double the score of Central before Central score
    15·1 answer
  • If k is a nonzero constant, what is the slope of the line containing the points (k,2k) and (3k,k)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!