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patriot [66]
3 years ago
5

AD is altitude of ΔABC and DE is altitude of ΔBEC. If m∠ADB=4x+15, what is m∠EDC?

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

Answer:

m∠EDC = 4x+15 (vertically opposite angles are equal)

Step-by-step explanation:

Please find the attached document for explanation

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Hey Tierra7l, 

Lets solve your equation together step by step. 

3x+2\left(x-5\right)=50 

\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10 

\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac 

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\mathrm{Apply\:minus-plus\:rules} 

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2x-2\cdot \:5 

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10 

2x-10 

3x+2x-10=50 

\mathrm{Add\:similar\:elements:}\:3x+2x=5x 

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\mathrm{Add\:}10\mathrm{\:to\:both\:sides} 

5x-10+10=50+10 

\mathrm{Simplify} 

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\mathrm{Divide\:both\:sides\:by\:}5 

\dfrac{5x}{5}=\dfrac{60}{5} 

\mathrm{Simplify} 

x=12 

Hope this helps, 

      AnthrαX <span>  </span>
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Step-by-step explanation:

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