125
B
75
11. Find the measure of angle B.
12. Find x
I
13. Find y

According to triangle theorems, all the interior angles are equal to 180°. Since we know that angles A and C are 75° and 90°, angle B will equal 180° - 75° + 90° = 15°

We can use the sine of angle A to find x,

Sin75° = 125/x

Sin75°(x) = 125/x(x)

Sin75°(x)/sin75° = 125/sin75°

x = approximately 129.4

To find y, we can use the tangent of angle B:

Tan15° = y/125

Tan15°(125) = y/125(125)

Tan15°(125) = y

y = approximately 33.5

step-by-step explanation:

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let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.