Acarpenter is building a rectangular bookcase with diagonal braces across the back, as shown. the carpenter knows that angle adc is a right angle and that angle bdc is 32° greater than mangle adb. solve an equation to find angle bdc and angle adb.

m∠ADB = 29° and m∠BDC = 61°

Solving this will just be based on some basic angle theorems in a triangle.

m∠ADB + m∠BDC = 90° (because m∠ADB and m∠BDC are complimentary angles due to the fact that angle at point D is 90°)

m∠BDC is 32° greater than angle m∠ADB

This means that we can write as;

m∠BDC = m∠ADB + 32°

m∠ADB + m∠BDC = 90°

m∠ADB + m∠ADB + 32° = 90°

2(m∠ADB) + 32° = 90°

     Subtract 32° from both sides to get;

2(m∠ADB) = 90° - 32°

2(m∠ADB) = 58°

m∠ADB = 58°/2

m∠ADB = 29°

29° + m∠BDC= 90°

       Subtract 29° from both sides to get;

m∠BDC = 90° - 29°

m∠BDC = 61°

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m∠ADB = 29° and m∠BDC = 61°

Step-by-step explanation:

It is given that m∠ADC = 90°

Since m∠ADB + m∠BDC = 90° [∠ADB and ∠BDC are complimentary]

Since ∠BDC = ∠ADB + 32°

So, m∠ADB + m∠ADB + 32° = 90°

2(m∠ADB) + 32° = 90°

2(m∠ADB) = 90 - 32

2(m∠ADB) = 58°

m∠ADB = 29°

Since m∠ADB + m∠BDC = 90°

So, m∠BDC + 29° = 90°

m∠BDC = 90 - 29

             = 61°

Therefore, m∠ADB = 29° and m∠BDC = 61°

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this