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Natalka [10]
3 years ago
8

Can I have some help with this problem

Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0
Corresponding measures have the same ratio.
.. (x -1)/4 = (2x +1)/10
.. 5(x -1) = 2(2x +1) . . . . . . multiply by 20
.. 5x -5 = 4x +2 . . . . . . . . eliminate parentheses
.. x = 7 . . . . . . . . . . . . . . . add 5 -4x

x = 7
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The measure of angle x is 18 more than 3 times the measure of its complement.
Alex
Complementary angles = two angles that add to 90° complement each other.


So, angle x = 3y+18
y= complementary angle
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3 years ago
An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edg
Naddik [55]
Tanα=h/x, tanß=h/(x+88)

solving both for x

x=h/tanα, x=h/tanß-88, since x=x

h/tanα=h/tanß-88

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(htanα-htanß)/(tanα*tanß)=88

h(tanα-tanß)/(tanα*tanß)=88

h=88(tanα*tanß)/(tanα-tanß)

Since α=32 and ß=22...

h=88(tan32*tan22)/(tan32-tan22)

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