Answer:
The cosine of the angle is 4/5.
Step-by-step explanation:
An acute angle is between 0º and 90º, in the first quadrant of the trigonometric circle, in which both the sine and the cosine are positive values.
For each angle
, we have that:
![\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1](https://tex.z-dn.net/?f=%5Csin%5E%7B2%7D%7B%5Calpha%7D%20%2B%20%5Ccos%5E%7B2%7D%7B%5Calpha%7D%20%3D%201)
We have that:
![\sin{\alpha} = \frac{3}{5}](https://tex.z-dn.net/?f=%5Csin%7B%5Calpha%7D%20%3D%20%5Cfrac%7B3%7D%7B5%7D)
So
![\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1](https://tex.z-dn.net/?f=%5Csin%5E%7B2%7D%7B%5Calpha%7D%20%2B%20%5Ccos%5E%7B2%7D%7B%5Calpha%7D%20%3D%201)
![(\frac{3}{5})^{2} + \cos^{2}{\alpha} = 1](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B5%7D%29%5E%7B2%7D%20%2B%20%5Ccos%5E%7B2%7D%7B%5Calpha%7D%20%3D%201)
![\cos^{2}{\alpha} = \frac{16}{25}](https://tex.z-dn.net/?f=%5Ccos%5E%7B2%7D%7B%5Calpha%7D%20%3D%20%5Cfrac%7B16%7D%7B25%7D)
![\cos{\alpha} = \frac{4}{5}](https://tex.z-dn.net/?f=%5Ccos%7B%5Calpha%7D%20%3D%20%5Cfrac%7B4%7D%7B5%7D)
The cosine of the angle is 4/5.
Answer: #1 is the answer. Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.
Step-by-step explanation: Parallel Lines: Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.
30 times 30 plus 45 minus 456 is 489
The absolute value is c.8
absolute value is always positive the answer is never negative. mark me as brainliest:)