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
bekas [8.4K]
2 years ago
6

One angle of a triangle measures 16∘ more than the smallest, while a third angle is twice the smallest. Find the measure of each

angle.
Mathematics
2 answers:
PtichkaEL [24]2 years ago
5 0

Answer:

Smallest angle: 41°

Second angle: 57°

Third angle: 82°


Step-by-step explanation:

Let's call the smallest angle as x

<u>"while a third angle is twice the smallest"</u>: third angle is 2x

<u>"One angle of a triangle measures 16∘ more than the smallest":</u> 2nd angle is 16+x

We know sum of 3 angles in a triangle is 180 degrees, so we can set up the equation and solve for x:

x+(16+x)+(2x)=180\\x+16+x+2x=180\\4x=180-16\\4x=164\\x=\frac{164}{4}=41

So smallest angle is 41°

The 2nd angle is 16+41=57°

third angle is 2*41=82°

Luba_88 [7]2 years ago
4 0

Answer:

  • The smallest angle is 41
  • The second angle is 57
  • The third angle is 2*41 = 82

Step-by-step explanation:

Givens

  • Let the smallest angle = x
  • The second angle is x + 16
  • The third angle is 2x
  • The total is 180o because all triangles have 180 degrees.

Solution

  • x + x + 16 + 2x = 180
  • 4x + 16 = 180                Subtract 16
  • 4x = 180 - 16
  • 4x = 164                         Divide both sides by 4
  • 4x/4 = 164/4
  • x = 41
You might be interested in
el precio del kilogramo de jitomate es de 36.50 juana compro 3 1/2 kilogramos cuanto pago por todo el jitomate?​
SashulF [63]

El precio total por 3 1/2 kg de jitomate que compró Juana es 127.75

Para saber el precio total de los 3 1/2 kg de jitomate que compró Juana debemos hacer el siguiente procedimiento.

Necesitamos saber cuánto vale medio kg de jitomate, para ello dividimos 36.50 en 2.

36.50/2 = 18.25

Luego multiplicamos 36.50 por 3, para saber cuánto valen 3 kg de jitomate.

36.50 X 3 = 109.5

Por último, sumamos el precio de medio kilo con el precio de tres kilos para tener el total que pagó Juana.

109.5 + 18.25 = 127,75

Aprenda más en: brainly.com/question/16170919

8 0
3 years ago
Read 2 more answers
Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance fro
Gwar [14]

Answer:

The correct options are (1), (3) and (5).

Step-by-step explanation:

The two triangles are shown below.

The measure of ∠F corresponds to ∠F'.

The distance between the points D and origin is of 9 units.

And the distance between the points D' and origin is 3 units.

Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.

Check for similarity:

\frac{D'F'}{DF}=\frac{D'E'}{DE}=\frac{F'E'}{FE}=\frac{1}{3}

Thus, the △DEF is similar to △D'E'F'.

Thus, the correct options are (1), (3) and (5).

4 0
2 years ago
if layla can right 20 essays in 15 minutes and 8 in 6 minutes then how many can she right in 45 minutes?​
scoray [572]

Answer:

60! hope this helps!

Step-by-step explanation:

4 0
3 years ago
Solve the equation.Check your solution<br><br>1.5x = 3
PIT_PIT [208]
Divide both sides by 1.5

1.5x = 3

x = 2

Check the equation by plugging in the 2.

1.5(2) = 3

3 = 3
3 0
3 years ago
Read 2 more answers
Which mixed number is equal to 18/8 <br> 2 6/9<br> 2 5/8<br> 2 1/4<br> 1 2/8
Galina-37 [17]

Answer: 2 1/4

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Daniel looks at the prices of 5 guitars. The prices are $137, $159, $127, $188 and $680. These prices contain one extreme value
    9·2 answers
  • 1,000,000 exponential form
    9·1 answer
  • 33. 14x2 + 15x – 9<br> factor
    7·1 answer
  • How do I solve this problem?
    14·1 answer
  • What are the coordinates of the image of vertex D after a reflection across the x-axis? (5, 3) (–5, –3) (–3, 5) (3, –5)
    14·2 answers
  • One - fifth as a percentage?
    9·2 answers
  • ASAP I NEED TO GRADUATE THIS WEEK
    8·1 answer
  • Help asap pls and ty
    5·2 answers
  • Please I need this now or I fail my test and I have to be held back!!! What is 4/15 divided by -3/5
    15·1 answer
  • PLEASE HELP ME GIVING 30 POINTS!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!