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KATRIN_1 [288]
3 years ago
11

How do I find the value of x here?

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0
Vertical angles are equal, so the angle above 2 is also 88+x. Then, because the 2 sides of the 52° triangle are congruent, the angles beneath them are too. So you are left with the equation of that triangle being...

88 + x + 88 + x + 52 = 180
combine like terms
228 + 2x = 180
subtract 228 from both sides
2x = -48
divide both sides by 2
x = -24

Hope this helps :)


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Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{x = 300}}}}}

Step-by-step explanation:

\sf{110 + 0.70x = 50 + 0.90x}

Move 0.90x to left hand side and change it's sign

⇒\sf{0.70x - 0.90x + 110 = 50}

Move 110 to right hand side and change it's sign

⇒\sf{0.70x - 0.90x = 50 - 110}

Collect like terms

⇒\sf{ - 0.2x = 50 - 110}

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⇒\sf{ \frac{ - 0.2x}{ - 0.2}  =  \frac{ - 60}{ - 0.2} }

Calculate

⇒\sf{x = 300}

Hope I helped!

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