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Mnenie [13.5K]
3 years ago
12

Someone please help!

Mathematics
1 answer:
strojnjashka [21]3 years ago
8 0

Answer:

  1. 37.5°
  2. 65°
  3. 90°
  4. 28

Step-by-step explanation:

1. PB is a bisector of ∠ABC, so ∠PBC is 75°/2 = 37.5°.

2. The sum of angles of ΔABC is 180°, so 75° + 40° +∠CAB = 180°. Subtracting 115° from this equation tells you ...

  ∠CAB = 65°

3. BQ is an altitude of ΔABC, so ∠BQA = 90°. (An altitude always meets the opposite side at a right angle.)

4. BR = RC

  2y +8 = 7y -7

  15 = 5y . . . . . add 7-2y

  3 = y . . . . . . . divide by 5

BC = BR +RC = (2y +8) +(7y -7) = 9y +1 = 9·3 +1 = 28

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Answer:

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Or

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".

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<u>Switch the "x" and "y" variables</u>

x = 8y + 1

<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting

8y + 1 = x            

8y + 1 - 1 = x - 1               Subtract 1 from both sides

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<u>Use function notation</u>, change "y"

f^{-1}(x)=\frac{x-1}{8}                      Simplified

f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}                   Slope-intercept form

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