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
makkiz [27]
4 years ago
10

In a​ triangle, the measure of the first angle is twice the measure of the second angle. the measure of the third angle is 80 de

grees more than the measure of the second angle. use the fact that the sum of the measures of the three angles of a triangle is 180degrees to find the measure of each angle.
Mathematics
1 answer:
Furkat [3]4 years ago
3 0
1st angle = 2 * 2nd angle
3rd angle = 2nd angle + 80

1st angle = 2x 

2nd angle  = x
3rd angle = 80 + x


2x + x + 80 + x = 180
4x = 100
x = 25

1st angle = 50
2nd angle = 25
3rd angle = 105



You might be interested in
Simplify completely the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times
KIM [24]
\dfrac{10x^6y^3+ 20x^3y^2}{5x^3y}

=  \dfrac{10x^3y^2(x^3y + 2)}{5x^3y}

= 2y(x^3y + 2)
8 0
3 years ago
Read 2 more answers
Which statement is always true?
Marina CMI [18]

Answer:

b) the product of two rational numbers rational

Step-by-step explanation:

A rational number can be defined as a number that has a numerator or a denominator. This means that a rational number exists as a fraction e.g 2/3, 6/7 e.t.c

An irrational number is a number that cannot exist as a fraction or as a ration between two numbers. Irrational number can be expressed in decimal format that continues and keeps continuing.

And example of an irrational number is : √2, √5, √7 e.t.c

We were given 4 options above.

a) the product of two irrational numbers is irrational

The product of two irrational number can give us both a rational number and an irrational number. For example,

√2 × √7 = √ 14 which is an irrational number.

√5 × √5 = √ 25 = 5 which is a rational number.

Therefore Option A is not always true as the product of two irrational number can given both irrational and rational numbers.

b) the product of two rational numbers rational

Option b is always true and this is correct. For example

5× 5 = 25 which is a rational number

5/6 × 1/2 = 5/12 which is a rational number.

c) the sum of two rational numbers is irrational.

Option c is a wrong or false option and statement. This is because the sum of two rational numbers would always give you a rational number and not an irrational number.

For example: 5+ 4 = 9 (rational number)

2/5 + 1/5 =3/5 ( rational number)

Hence option c is a wrong option

d) the sum of an irrational number and a rational number is rational

Option d is an incorrect option and statement.

This is because, the sum of an irrational number and a rational number gives us an irrational number.

For example: 2(rational number ) + √2 (Irrational number) = 3.4142135624(Irrational number)

From the above explanation , we can see and observe that the only correct option and statement that is ALWAYS true is :

Option b) "the product of two rational numbers rational"

3 0
3 years ago
The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?
Andrews [41]

Answer:

a_{200}=418

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

a_n=20+(n-1)2 ...(1)

We need to find the 200th term of the sequence.

Put n = 200 in equation (1)

a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418

So, the 200th term of the sequence is 418.

7 0
3 years ago
Help? Sorry ik how “Simple” this is to others but I never understood.
Artist 52 [7]
Since there are 100 squares and 6 aren’t colored in, the answer should be .94. It’s kind of like counting a dollar since 100 pennies = a dollar.
5 0
3 years ago
1. Write and solve an inequality that represents the number of months the center could
Artist 52 [7]

Solution :

Given that the Centre is signing up for a rental game service online rather than buying the game.

The monthly fees and the equipment cost of the two services that is the 'Anytime games' and the 'Netgames' are attached below.

Therefore, the inequality which represent the number that the center can rent the online games from the NetGames is :

175 - 8m ≥ 99

175 - 8m - 99 ≥ 99 - 99    (Subtracting 99 from both side of the inequality)

76 - 8m ≥ 0      (Simplify)

76 - 8m -76 ≥ 0 - 76      (Subtracting 76 from both side of the inequality)

- 8m ≥  - 76 (Simplify)

 8m ≥   76   (removing the minus sign form both sides)

 $\frac{8m}{8} \geq\frac{76}{8}$     (Divide each side of the inequality by 8)

 m  ≥ 9.5

6 0
3 years ago
Other questions:
  • What is the factored form of the polynomial?
    8·1 answer
  • What is the area of this figure? <br>Enter your answer in the box. <br><br>__in2​
    13·2 answers
  • A bag of trail mix weighs 1.625 pounds. Round 1.625 to the nearest hundredth.
    12·2 answers
  • A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
    10·2 answers
  • On a 95-degree day with 80% humidity, the amount of time it takes an air-conditioning unit to cool a 2000-square-foot home 1 deg
    7·1 answer
  • In the diagram, ∠XWY congruent to ∠ZWY. Find XY.
    15·1 answer
  • 20% of 150 is of what
    14·2 answers
  • I need help, I need to find the volume of this
    11·1 answer
  • Write the polynomial so that the polynomial is in standard form -3x+8x²-11x +9x³
    10·1 answer
  • EASY 7TH-GRADE MATH
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!