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3 years ago

They all equal up 180 but what is x?

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

5 0

x = both 25 and 20 + up witch is 45

Luda [366]3 years ago

3 0

A triangle’s angles added up are 180 degrees and a triangle must have 3 angles, therefore the formula is: a + b + c = 180
So lets substitute the angles in your problem to the formula.
Let a = 25 degrees
Let b = 20 degrees
And let c = x + 144

25 + 20 + (x + 144) = 180
Add common variables, in this case 25 and 20:
45 + (x + 144) = 180
Isolate the x variable, first by subtracting 45 from both sides.
45 - 45 + (x + 144) = 180 - 45
x + 144 = 135
Now, subtract both sides by 144:
x + 144 - 144 = 135 - 144
x = -9
Your answer is: x = -9

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Answer:

$\large\boxed{x=\dfrac{9}{8}-\dfrac{\sqrt{109}}{8},\ y=-\dfrac{1}{2}-\dfrac{\sqrt{109}}{18}}\\or\\\boxed{x=\dfrac{9}{8}+\dfrac{\sqrt{109}}{2},\ y=-\dfrac{1}{2}+\dfrac{\sqrt{109}}{18}}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}4x\times9y=7&(1)\\4x-9y=9&(2)\end{array}\right\\\\(2)\\4x-9y=9\qquad\text{subtract}\ 4x\ \text{from both sides}\\-9y=-4x+9\qquad\text{change the signs}\\9y=4x-9\qquad\text{substitute it to (1)}\\\\4x(4x-9)=7\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\(4x)(4x)+(4x)(-9)=7\\(4x)^2-36x=7\\(4x)^2-2(4x)(4.5)=7\qquad\text{add}\ 4.5^2\ \text{to both sides}\\(4x)^2-2(4x)(4.5)+4.5^2=7+4.5^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2$

$(4x-4.5)^2=7+20.25\\(4x-4.5)=27.25\to 4x-4.5=\pm\sqrt{27.25}\\\\4x-\dfrac{45}{10}=\pm\sqrt{\dfrac{2725}{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{2725}}{\sqrt{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25\cdot109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25}\cdot\sqrt{109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{5\sqrt{109}}{10}\qquad\text{add}\ \dfrac{45}{10}\ \text{to both sides}\\\\4x=\dfrac{45}{10}\pm\dfrac{5\sqrt{109}}{10}$

$4x=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 4}\\\\x=\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\\\\\text{Put the values of}\ x\ \text{to (2):}\\\\9y=4\left(\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\right)-9\\\\9y=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}-\dfrac{18}{2}\\\\9y=-\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 9}\\\\y=-\dfrac{1}{2}\pm\dfrac{\sqrt{109}}{18}$

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3 years ago

The store bought a pair of shoes for $50, and sold it for $80.What percentage was the mark up

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3 years ago

A softball player made a hit 34 times in the last 170 times at bat . Find the probability that the softball player will get a hi

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2 years ago

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Answer:

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Step-by-step explanation:

Number of labourers * Number of days worked = Total number of working days

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3 years ago

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Paladinen [302]

Answer:

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Step-by-step explanation:

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x² - 2x + y - 4 = 0 ( add 4 to both sides )

x² - 2x + y = 4

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add ( half the coefficient of the x term )² to both sides

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(x - 1)² + y = 5

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with vertex = (1, 5 )

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