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
AveGali [126]
3 years ago
14

Find the value of x

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0

Answer:

<em>x=3</em>

Step-by-step explanation:

<u>Angles and Lines</u>

We must recall:

  • The sum of the internal angles of a triangle is 180°
  • Two linear angles add up to 180°

The image shows a triangle and the extension of its base to form two linear angles.

Note from the triangle, angle R is what it takes to get to 180°:

m\angle R=180-25x-(57+x)

From the line SQ, angle R what it takes to get to 180°. Thus:

m\angle R=180-45x

Equating:

180-25x-(57+x)=180-45x

Subtracting 180 and simplifying:

-25x-57-x=-45x

19x=57

Dividing by 19:

x=3

You might be interested in
Ursula and Andre competed against each other in a swimming race. Ursula swam at a rate of 60 meters per minute and Andre swam at
Lubov Fominskaja [6]
Given that the two swimmers competed and Ursula's speed is 60 m/min while Andre's speed is 48 m/min. The distance that the Ursula will catch up with Andre will be:
distance=(relative speed)×(time)
relative speed=60-48=12 m/min
the two swimmers met at a distance of:
12×1
=12 meters

6 0
4 years ago
Help me thank you!!!!
Marat540 [252]

Answer:

Step-by-step explanation:

<1 = <5                              Corresponding angles.

<5 + <6 = 180°                  Angles making up the same straight line are supplementary.

<1 + <6 = 180°                   <1 and <5 are equal.

<6 = 180° - <1                    If we know <1 we can easily find six. It is <1s supplement.

5 0
3 years ago
Write an equation of the line with a slope of 2/3 and y-intercept of −8.
Nastasia [14]

Answer:

F(x)=2/3x-8

Step-by-step explanation:

6 0
4 years ago
Gracia worked 8.2, 6.9, 10.1, 8.6, and 8.9 hours this week. She worked about 8 hours longer than last week. About how many hours
tatyana61 [14]
I got 34.7 for my answer
4 0
3 years ago
A rectangular garden has a length of (3x + 30) units and a width of (x + 20) units. The garden also consists of a walkway, which
denis23 [38]
2x^2 + 60x + 400

If you multiply the first two equations to find the total area of the garden, then you can subtract the size of the path from tha and then you'll have your answer.... Math is the best thing ever
7 0
3 years ago
Read 2 more answers
Other questions:
  • If a rectangular lot measures 120 ft. x 80 ft., and 10 foot set backs are required from each lot line, how much area is left? If
    14·1 answer
  • A patient receives 24 mg of medicine 3 times a day. If the patient takes all of the medicine for 7 days, how many milligrams of
    12·2 answers
  • List 3 possible situations in which the integer +5 could be used <br><br> help me please
    8·1 answer
  • Simplify radical expression. Leave in radical form. the squarefoot of 7(the squarefoot of 14+the squarefoot 3)
    12·1 answer
  • A car travels 35 miles on each gallon of gas. How far will it travel on 6 gallons?
    11·2 answers
  • the Dimensions of Prokaryotic Cells and their Constituents Escherichia coli cells are about 2 mm (microns) long and 0.8 mm in di
    14·1 answer
  • A line that a function gets closer and closer to but does not reach is called
    10·2 answers
  • Help me for brainlist no cap
    14·2 answers
  • Please help me with the attached picture
    6·1 answer
  • A strict inequality is graphed with a dotted line.<br> O True<br> O False
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!