3 years ago

HELP Math will give 25 brainly points

Mathematics

2 answers:

aleksklad [387]3 years ago

7 0

51 degrees should be the correct answer

77julia77 [94]3 years ago

4 0

9514 1404 393

Answer:

51°

Step-by-step explanation:

The angles where the expressions are given are a linear pair, so total 180°.

(3x +15) +(10x +9) = 180

13x = 156 . . . . . . . . . . . . . . . subtract 24, collect terms

x = 156/13 = 12

Then the acute angle is ...

3x +15 = 3(12) +15 = 36 +15 = 51

The stairs make an angle of 51° with the basement floor.

_____

Additional comment

Building code requires the rise to be not more than 8 and the run not less than 9, so the maximum angle is about 41.6°. A 51° staircase would not meet code.

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