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alisha [4.7K]
3 years ago
10

Find X. Show work. There is a photo of the problem. Thank you very much :)

Mathematics
1 answer:
mezya [45]3 years ago
5 0

Answer:

x = 2.24

Step-by-step explanation:

I will ASSUME that the 15 represents the angle in degrees

We can make a similar triangle by adding the purple lines as shown.

Any triangle inscribed in a circle with one side as a diameter is a right triangle.

We know it is similar triangle because it shares two common angles, the right angle and the 75° angle at the far right.  Then

z = 2Rsin15 = 2(16.7)sin15

x = zsin15 = 2(16.7)sin²15 = 2.237375756799...

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Answer:

question 3.3 Answer: Angle 3

question 3.4  Answer: ABD and DBC are complementary angles

question 3.5  Answer: x is 7 degrees (first answer option)

Step-by-step explanation:

First question:

Recall that suplementary angles are those whose addition gives 180 degrees. Therefore the supplementary angle to angle 8 is angle 3.

Second question:

Recall that complementary angles are those angles which added give 90 degrees. Therefore, the only correct answer for this question is the third one: ABD and DBC are complementary angles.

Third question:

Notice that the two angles added should render 90 degrees, therefore, their expression should as well add to 90 degrees. Such can be written in equation form as:

( 6 x - 20 ) + (4 x + 40 ) = 90

combining like terms and later solving for x we get:

6 x + 4 x - 20 + 40 = 90

10 x + 20 = 90

10 x = 90 - 20

10 x = 70

x = 7

Therefore x is 7 degrees

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