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
djverab [1.8K]
3 years ago
10

The sum of the measures of the three angles of a triangle is 180 the angles are 2x-4, x, x+6

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

The value of x is 44.5

The measures of the three angles are 85° , 44.5° , 50.5°

Step-by-step explanation:

The sum of the measures of the three angles of a triangle is 180°

The angles of a triangle are 2x - 4 , x , x + 6

We need to find the value of x and the measure of each angle

To solve the problem

  • Add the three angles
  • Equate their sum by 180
  • Solve the equation to find the value of x
  • Substitute the value of x in each angle to find its measure

∵ The angles of the triangles are 2x - 4 , x , x + 6

∴ The sum of the angles = 2x - 4 + x + x + 6

- Add the like terms

∴ The sum of the angles = 4x + 2

∵ The sum of the measures of the three angles of a triangle is 180°

- Equate the sum of the angles by 180

∴ 4x + 2 = 180

- Subtract 2 from both sides

∴ 4x = 178

- Divide both sides by 4

∴ x = 44.5

The value of x is 44.5

Substitute the value of x in each angle to find the measure of each angle

∵ The measure of one angle = 2x - 4

∵ x = 44.5

∴ The measure of the angle = 2(44.5) - 4 = 85°

∵ The measure of 2nd angle = x

∴ The measure of the angle = 44.5°

∵ The measure of one angle = x + 6

∵ x = 44.5

∴ The measure of the angle = 44.5 + 6 = 50.5°

The measures of the three angles are 85° , 44.5° , 50.5°

Learn more:

You can learn more about the angles of a triangle in brainly.com/question/4302397

#LearnwithBrainly

You might be interested in
30÷10 divide until you find the ten thousand digit
klemol [59]

Answer:

The ten thousandth digit would be 0.

Step-by-step explanation:

30/10=3

3 is a whole number so there would be no decimal which means that in the ten thousandth place would be 0

30/10=3.0000

4 0
3 years ago
One Mural is 12 by28 the other is 12 by 32 what is the total area
bagirrra123 [75]
12x28=336 12x32=384 336+384=720 square^2
7 0
3 years ago
NEED HELP ASAP!!!!!!!!!!!!!!!!
salantis [7]

9514 1404 393

Answer:

  (b) (-5, 1)

  (c) (5, -7)

  (d) (9, -2)

Step-by-step explanation:

The coordinate differences between the given points are ...

  (4, 2) -(0, -3) = (4, 5)

The length of the line segment between the points is √(4² +5²) = √41, so this is the side of the square, not a diagonal.

The other four points that could be corners of the square are these same distances, but at right angles. To get points at right angles, the distance values can be swapped, and one of them negated.

Two of the points could be ...

  (4, 2) ± (5, -4) = (9, -2) or (-1, 6)

and the other two could be ...

  (0, -3) ± (5, -4) = (5, -7) or (-5, 1)

5 0
2 years ago
Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 a
emmasim [6.3K]

The expressions that are equivalent when m = 1 and m = 4 is;

Option B: 3m + 4 and m + 4 + 2m

We are given m = 1 and m =4;

A) 5m - 3 and 2m + 5 + m

B) 3m + 4 and m + 4 + 2m

C) 2m + 7 and 3m - 3 + m

D) 5m + 3 and 4m + 2 + 2m

For option B; 3m + 4 and m + 4 + 2m

Let's put m = 1

3(1) + 4 = 7

Also, 1 + 4 + 2(1) = 7

Similarly, let us put 4 for m to get;

3(4) + 4 = 16

Also, 4 + 4 + 2(4) = 16

In both cases, the expressions are equivalent and as such option B is the right one.

Read more about algebra simplifications at; brainly.com/question/4344214

4 0
2 years ago
Read 2 more answers
A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must
nirvana33 [79]

Answer:

0.430

Step-by-step explanation:

Product has four parts :

For proper functioning, each part must function :

Let the 4 parts be:

A, B, C and D

Proper functioning probability :

A and B = 0.79

C and D = 0.83

For proper functioning :

P(A) * P(B) * P(C) * P(D)

0.79 * 0.79 * 0.83 * 0.83

= 0.42994249

= 0.430

3 0
3 years ago
Other questions:
  • Para calcular la altura alcanzada por un proyectil en la tierra es suficiente conocer la velocidad de lanzamiento
    14·1 answer
  • What is the meaning of a corresponding angle
    15·2 answers
  • A = b + c / d <br><br> What does b equal ???
    14·1 answer
  • Help me please thank you
    12·1 answer
  • Need help, please explain
    9·1 answer
  • What’s the answer?!!!!!!
    12·2 answers
  • 1 (06.06 LC
    12·1 answer
  • HELP PLEASEEE!!!
    14·2 answers
  • Help me on dis please
    11·2 answers
  • 2 of 5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!