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SashulF [63]
3 years ago
5

Solve for x in triangle

Mathematics
1 answer:
fenix001 [56]3 years ago
7 0
X=60degrees

bc you find 180-125 bc it is a straight angle. You get 55 degrees. Then you add 65+55=120. 180-120=60 degrees. This is because every triangle must have a sum of angles that equals 180 degrees.

Hope this helps.
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A radiator contains 8 quarts of fluid, 40% of which is antifreeze. How much fluid should be drained and replaced with pure antif
VladimirAG [237]

Answer: 1.6 quarts

Step-by-step explanation:

Given : A radiator contains 8 quarts of fluid, 40% of which is antifreeze.

[40% can be written as 0.40.]

Then, the amount of antifreeze in radiator = 0.40\times8=3.2\text{ quarts}                                                                                              (1)

 

If a radiator contains 8 quarts of fluid with 60% of which is antifreeze.

[60% can be written as 0.60.]

Then, the amount of antifreeze in radiator = 0.60\times8=4.8\text{ quarts}                                                                                             (2)

 

Now subtract (1) from (2) we get,

The amount of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze :-

4.8-3.2=1.6\text{ quarts}

Hence, the 1.6 quarts of fluid should be drained  and replaced with pure antifreeze so that the new mixture is 60% antifreeze

7 0
4 years ago
Read 2 more answers
A number has the property that its square is equal to 84 more than five times the number. Enter all numbers that have this prope
Liono4ka [1.6K]

Answer:

The numbers for which the given property hold true are <em>12 </em>and <em>-7</em>

Step-by-step explanation:

Let the number be x.

As per the given statement:

Square of the number (x^{2}) is 84 more than five times of the number (5x+84).

Writing in the equation form:

x^{2} =5x+84

To find:

All the numbers for which above equation holds true.

Solution:

x^{2} =5x+84

Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.

It is a quadratic equation(i.e. maximum power of x is 2) so it will have 2 solutions  i.e. 2 values of x for which the above equation will hold true.

x^{2} -5x-84=0

Let us factorize the equation.

\Rightarrow x^{2} -12x+7x-84=0\\\Rightarrow x(x -12)+7(x-12)=0\\\Rightarrow (x+7)(x-12)=0\\\Rightarrow \bold{x=12, -7 }

So, the numbers for which the given property hold true are <em>12 </em>and <em>-7</em>.

8 0
3 years ago
Does the expression 2b + 5b have like terms?
Soloha48 [4]

Answer:

Yes. 'b' is a like term

Step-by-step explanation:

3 0
3 years ago
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How do you rewrite 6/9 in two different ways
Naya [18.7K]

We have to represent the fraction \frac{6}{9} in two different ways.

Let us multiply the numerator and denominator of the given fraction by '2'.

Therefore, \frac{6}{9} = \frac{6 \times 2}{9 \times 2} = \frac{12}{18}

Therefore, \frac{12}{18} is the first way to represent the given fraction.

Now, Let us multiply the numerator and denominator of the given fraction by '3'.

Therefore, \frac{6}{9} = \frac{6 \times 3}{9 \times 3} = \frac{18}{27}

Therefore, \frac{18}{27} is the second way to represent the given fraction.

Therefore,  \frac{12}{18} and  \frac{18}{27} are the different ways to represent the fraction \frac{6}{9}.

4 0
3 years ago
If a lineman can install 12 insulators in 183/4 hours, how many insulators should he be able to install in 281/8 hours?
katrin2010 [14]

Answer: 9

Step-by-step explanation:

12 insulators = 183/4 hours

x = 281/8

x × 183/4 = 12 ×281/ 8

183x/4 = 6 × 281/4

183x / 4 = 1686 / 4

4 cancel out 4

183x = 1686

Divide bothside by 183

x = 1686/183

x= 9.21311

x = 9 approximately.

3 0
3 years ago
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