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2 years ago

The sum of the two angles of a triangle is 80 degree and their difference is 20 degree. find all the angles of the triangle.

Mathematics

2 answers:

Varvara68 [4.7K]2 years ago

8 0

The sum of the interior angles in a triangle is 180.

We can find what one of angles are. Since the sum of two angles are 80, that leaves the third angle.

180-80=100

This means one angle equals 100.

We can make an equation to find what the two angles are. Let's have x as the smaller angle.

x+x+20=80; since their difference is 20.

2x+20=80; let's subtact 20.

2x=60; now divide by 2.

x=30

Since the smaller angle of the two is 30, the other is 50.

So, the angles of the triangle are 30°, 50°, and 100°

Norma-Jean [14]2 years ago

3 0

Sum of 2 angles = 80°

Difference = 20°

If we take away 20° from the sum, both angles are equal

⇒80 - 20 = 60°

Divide by 2 to find the smaller angle:

60 ÷ 2 = 30

Add 20° to find the bigger angle:

20 + 30 = 50°

One of the angle is 30° and the other angle is 50°

Given that the sum of the two angles is 80°

⇒ Third angle = 180 - 80 = 100°

Answer: The 3 angles are 30° , 50° and 100°

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2 years ago

Which of the following are square roots of 64? (check all that apply)

Angelina_Jolie [31]

The square roots of 64 is A B and C.

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2 years ago

The frequency table shows the ages of the actors

Oksanka [162]

The percentage of youth that are category 10 to 12 is the quotient of their frequency to the total frequency

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<h3>How to determine the percentage?</h3>

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3 0

1 year ago

The cost to produce a product is modeled by the function f(x) = 5x^2 − 70x + 258, where x is the number of products produced. Co

Advocard [28]

The minimum of a quadratic function, with a positive coefficient a, is its vertex.

Let's find the x₀ coordinate.

$f(x) = 5x^2 -70x + 258\\\\x_0=\dfrac{-b}{2a}=\frac{-(-70)}{2*5} =\frac{70}{10} =7$

Now we need to find y₀ coordinate. That will be the minimum of function.

$y_0=5\times7^2-70\times7+258=13$

So, the minimum cost to produce the product is $13

Decompose 5x^2 − 70x + 258 into multipliers

$5x^2 - 70x + 258=(5x^2-70x+245)+13=5(x^2-14+49)+13=\\=5(x-7)^2+13$

Answer: 5(x − 7)^2 + 13; The minimum cost to produce the product is $13.

4 0

2 years ago

What is two thirds of eight

AlladinOne [14]

5 + 0.33333...

If you don't immediately recognize 0.33333.... as 1/3 (a very common fraction you should memorize), you can do the following. 

x = 0.33333... 

Multiply that by 10 to shift everything 1 place to the left: 
10x = 3.33333... 

Now subtract: 
10x - x = 3.33333... - 0.33333... 
9x = 3 
x = 3/9 
x = 1/3 

Answer: 
5 1/3 

P.S. Here's a shortcut way to turn a repeating decimal into a fraction. 

1) Take the repeated part and put it over an equivalent number of nines. 

Example: 
0.57575757... = 57/99 

At that point, see if you can reduce the fraction: 
= 19/33 

Another example: 
0.123123123... = 123/999 
= 41/333 

So in your example: 
5.33333... = 5 + 0.33333... 
= 5 + 3/9 
= 5 1/3

8 0

2 years ago