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BabaBlast [244]
3 years ago
6

Given a∥b , and c is not parallel to a or b, which statements must be true?

Mathematics
1 answer:
abruzzese [7]3 years ago
5 0

Answer:

The first and third answers are true.

Step-by-step explanation:

angles 3 and 7 are corresponding angles, and 1 and 8 are alternate exterior angles.

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3 years ago
Angle A is circumscribed about circle O what is the length of AB
Nana76 [90]

Answer:

AB \approx 4.054

Step-by-step explanation:

The trigonometric equations associated with the figure are, respectively:

AB = 4\cdot \cos 73^{\circ} + 3\cdot \cos \alpha

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The components with the unknown angle are cleared and used in the fundamental trigonometric relation:

3\cdot \cos \alpha = AB - 4\cdot \cos 73^{\circ}

3\cdot \sin \alpha = 4\cdot \sin 73^{\circ} - 3

9\cdot \cos^{2}\alpha + 9\cdot \sin^{2}\alpha =(AB-4\cdot \cos 73^{\circ})^{2}+(4\cdot \sin 73^{\circ}-3)^{2}

9 = AB^{2}-2.339\cdot AB + 1.368 + 0.681

The following second-order polynomial is presented below:

AB^{2}-2.339\cdot AB -6.951 = 0

Roots of the polynomial are described hereafter:

AB_{1} \approx 4.054 and AB_{2} \approx -1.715

Only the first root is reasonable, as length is a positive variable. The length is AB \approx 4.054.

6 0
3 years ago
What is the definition of distributive property?
anyanavicka [17]
The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the. Definition: Thedistributive property lets you multiply a sum by multiplying each addend separately and then add the products.
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