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
mezya [45]
2 years ago
7

The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines

s r and s u is 78 degrees. the space between lines s u and s t is 3 x minus 12. what is manglerst in degrees? 78° 84° 120° 156°
Mathematics
1 answer:
miv72 [106K]2 years ago
7 0

Answer:

  ∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

  ∠RSU +∠UST = ∠RST

__

  78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

  54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

  108 = 6x . . . . . . . . . . . multiply by 2

  120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

_____

<em>Additional comment</em>

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.

You might be interested in
9 9/15 - 2 13/15 = <br> i have know idea what it is plz help
maria [59]

Step-by-step explanation:

plase see it my step work solution

5 0
3 years ago
Sebastian is going to choose the color pattern
jeka94

Answer:

use blue red blue red

Step-by-step explanation:

5 0
3 years ago
The hypotenuse of a right triangle is four times the length of one of the legs. The length of the other leg is 1500⎯⎯⎯⎯⎯⎯⎯⎯√ fee
Mrac [35]

Answer:

Step-by-step explanation:

So this is just playing with the pythagorean theorem

a^2 + b^2 = c^2 with a and b as legs and c as the hypotenuse.

Let's say a is equal to 1500 so then c is 4 times b

1500^2 + b^2 = (4b)^2  Now we just treat this like a normal algebraic expression

2,250,000 = 16b^2 - b^2

2,250,000 = 15b^2

150,000 = b^2

sqrt(150,000) = b

100sqrt(15) = b

You can check this now.

1500^2 + sqrt(150,000)^2 = c^2

sqrt(2,250,000 + 150,000) = c

sqrt(2,400,000) = c

400sqrt(15) = c Which fits the requirement of c = 4b

7 0
3 years ago
_______are the possible results of an experiment
Virty [35]
Outcome

Hope this helps :)

6 0
3 years ago
A spinner is spun once ( The spinner has 8 sections in it) What is the probability that the spinner will land on 5 or 7? A.8% B.
nordsb [41]
D. 25% as there are 8 sections and two wanted outcomes this can be simplified into a 1/4 so 1/4=25%
3 0
3 years ago
Other questions:
  • Y=–x1/2 + 4 x + 2y =–8 How many solutions does this linear system have?
    15·1 answer
  • Please help! I do not understand. Letter b) cannot be the answer
    12·1 answer
  • Pie charts without the amount of things?
    5·1 answer
  • 16. Math and Science old Faithful may be the most famous geyser in Yellowstone National Park. A 2-minute eruption is typically f
    11·1 answer
  • Please help me with this question.
    11·1 answer
  • In the number 4,118, how does the value represented by the 1 in the hundreds place compare with the value represented by the 1 i
    9·1 answer
  • The table shows how much money Edguardo earns as a golf coach. He charges a flat fee of $38, plus $22 per hour. Complete the tab
    5·2 answers
  • The line y=15x Intersex the quadratic function y=15x^2 at two points. what are the coordinates of the two points of intersection
    7·1 answer
  • Find the surface area of the figure below.
    8·1 answer
  • Please Help 11th Grade Math ASAP<br> It is really hard so I need someone really smart.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!