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Sholpan [36]
3 years ago
8

What is the length of segment BD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share

segment AB and angle B is a right angle, the measure of angle CAB is 34 degrees, the measure of angle BDA is 31 degrees, and the measure of segment AB is 3 units 1.8 units 3.5 units 4.99 units 5.82 units

Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0

Answer:

BD = 4.99 units

Step-by-step explanation:

Consider the triangle ABD only.

The angle formed is 31 degrees which occurs between two sides that are AD and BC.

We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.

Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD

Using formula for tanθ

tanθ = Perpendicular/Base

tan31 = 3/BD

0.601 = 3/BD

BD = 3/0.601

BD = 4.99 units

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Part c) Find another value of x that is a solution to both inequalities.

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<u>solving -6 < -2x</u>

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\left(-2x\right)\left(-1\right)

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<h3>SUBSTITUTING x = 1</h3>

FOR  -2x < 10

substituting x = 1 in -2x < 10

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substituting x = 1 in -6 < -2x

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∴ x = 1 is the solution to the inequality -6 < -2x.

Conclusion:

x = 1 is a solution common to both inequalites.

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