Answer:
See image below
Step-by-step explanation:
We want to draw a line through all points with a y-coordinate of -3; first let's observe some of these points: (-3,-3), (0,-3), (1,-3), (10,-3) are all part of this line.
We can see that what all these points have in common are that they have -3 in the y axis. Therefore, the graph of the line would be y = -3
This line is drawn in the graph below.
Answer:
Step-by-step explanation:
Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.
By the Pythagorean theorem,
AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:
Consider right triangle CAH.By the Pythagorean theorem,
The length cannot be negative, so CD=8 cm and
In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,
By the Pythagorean theorem,
