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
Deffense [45]
2 years ago
10

The sum of the angle measures of any triangle is 180°. Find each of the angle measure of a triangle if the second angle measure

10º more than twice the first, and the third angle measures 10° more
than the second.
Mathematics
1 answer:
stepladder [879]2 years ago
7 0

Answer:

26,72,82

Step-by-step explanation:

This question is solved by a system of equations. We have that:

x is the first angle.

y is the second angle.

z is the third angle.

The sum of the measures of the angles of a triangle is 180.

This means that, x + y + z = 180 -> Eq 1

Now,

The second angle measure 10º more than twice the first,

=> y = 2(x + 10) = 2x + 20

The third angle measures 10° more  than the second,

=> z = y + 10 = 2(x + 10) + 10 = 2x + 20 + 10 = 2x + 30

Equation(Substituting values in Eq 1) :-

=> x + (2x + 20) + (2x + 30) = 180

=> x + 2x + 20 + 2x + 30 = 180

=> x + 2x + 2x + 20 + 30 = 180

=> 5x + 50 = 180

=> 5x = 130

=> x = 26

Therefore,

x = 26

y = 2(26) + 20 = 72

z = 2(26) + 30 = 82

You might be interested in
Approximately 0.02 Love north Atlantic lobsters are born blue color out of 5000 Atlantic lobsters how many would you expect to b
Anon25 [30]

Answer:  100 blue Atlantic lobsters

Step-by-step explanation:

Approximately 0.02 Atlantic lobsters are born blue.

0.02 in percentages is 2%.

Out of 5,000 Atlantic lobsters therefore, 2% will be born blue.

The number of blue lobsters expected is:

= 5,000 * 2%

= 100 blue Atlantic lobsters

6 0
3 years ago
4 (x+2) = 2x+10<br> help
xenn [34]

Answer:

x=1

Step-by-step explanation:

First you would do the parentheses.

So, 4 x X= 4x

4x2=8

4x+8=2x+10

subtract 2x on both sides

2x+8=10

subtract 8 from both sides

2x=2

x=1

6 0
3 years ago
A sample from a group of people will not always be representative of the entire group.
worty [1.4K]
True of False? It depends on the scenario of the data size.
3 0
2 years ago
Read 2 more answers
If y = x2 + x -1, find y if x = 3. y =
marishachu [46]

Answer:

y=3

Step-by-step explanation:

y = 3x2 + 3x-1

y = 6 + -3

y = 3

8 0
2 years ago
Read 2 more answers
Jimmy thought he had purchased 7 folders but he only purchased 6. What was his percent error?
QveST [7]

6 percent of 7 is 86% so the percentage error is 24%

6 0
2 years ago
Other questions:
  • Are the two triangles below similar?
    6·2 answers
  • What is half of 6.75
    9·2 answers
  • Jane left the school and started to bike along the road at a rate of 12 mph. Her friend Sally left the school 10 minutes after J
    8·1 answer
  • A spherical balloon currently has a radius of 19cm. If the radius is still growing at a rate of 5cm or minute, at what rate is a
    11·1 answer
  • Y + 2 = -3 (x - 4) Complete the missing value in the solution to the equation. (____, -2)
    5·2 answers
  • During the school week, joshua spent 3$ each day in lunch.On tuesday,he bought a 5$ ticket to the school and on friday he loaned
    5·1 answer
  • Find the sum and product of the roots of each equation of <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D" id="TexFormula1" title
    7·1 answer
  • Which expressions have a value greater than 8?
    12·2 answers
  • A cube has a surface area of 54cm2. What is the volume of the cube?
    8·1 answer
  • Ummmm heyyy ahjkahskjdha;ishda
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!