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
butalik [34]
3 years ago
5

The three angles in a triangle have measures x, 3x, and 5x. Solve for x

Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Three angles of the triangle:

3x \\ 5x \\ x

___________________________________________

3x + 5x + x = 180

9x = 180

x = 180/9

x = 20

You might be interested in
The sum of 5 consecutive integers is 110<br><br> What is the fourth number in this sequence?
umka21 [38]
The sum of 5 consecutive integers is 110<span>.

Hope it helps :)</span>
7 0
3 years ago
deon earned a total of $61 from selling jewelry at a fair. He earned $5 for selling one necklace. He also earned $8 for each bra
Elis [28]

Answer: 7

Step-by-step explanation:

8x +5 = 61

subtract 5 from both sides

8x = 56 divide both sides by 8 to get x by itself

x= 7

7 0
3 years ago
If the diagonals of a parallelogram are congruent and are perpendicular bisectors of each other than what is it
alexira [117]
The parallelogram is a square
5 0
3 years ago
Gustavo's bicycle cost $171.18 after a sales tax of 8%. write and solve an equation to find the price of the bike before the sal
Kryger [21]
Let x =  price of the bike before a sales tax.

The price after a sales tax of 8% is
x + 0.08x = 1.08x dollars

Because the price paid was $171.18, therefore
1.08x = 171.18
x = 171.18/1.08 = $158.50

Answer: 158.50


3 0
3 years ago
1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
3 years ago
Other questions:
  • PLZ HELP I WILL GIVE Brainliest answer
    12·1 answer
  • What is X and A??? The have to equal the same thing, but one is multiplying and one is adding (picture)
    9·1 answer
  • Samuel needs 233 feet of wood to buikld a fence.The wood comes in lengths of 11 feet. How many total pieces of wood will samuel
    6·1 answer
  • 6,000,000<br> How do say this number
    12·2 answers
  • Divide and round to the nearest tenth 3.5 divided by 2.29
    13·1 answer
  • Is the sentence simple, compound, or complex?
    13·1 answer
  • Subtract 8 from 6 times m
    9·1 answer
  • Fill in each blank with a true statement
    12·1 answer
  • Determine the solution to a−5=3 that makes the equation true.
    12·1 answer
  • 20men working 8hours a day took 18days to complete a work . How long will 24 men working 5 hours a day take to complete the some
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!