Answer:
x = 41
Step-by-step explanation:
By the Angle Bisector Theorem, which basically states that EG / GD = EH / DH, we get this: 49 / 35 = 58.8 / (x + 1). Now, if we simplify, we get 7/5 = 58.8 / (x + 1). Cross-multiply to get 294 = 7x + 7, or 7x = 287. From here, it is obvious that x = 41.
Answer:
The volume of the prism is 72 cubic cm.
Step-by-step explanation:
This we know because a triangle with sides of 3 units, 4 units, and 5 units must be a 3–4–5 right triangle, the catheti (“legs”) of which are 3 and 4 units. So the area of the base is
3 cm. * 4 cm. / 2 = 6 square cm.
Lastly, the volume of the prism is the base area multiplied by the height:
6 square cm. * 12 cm. = 72 cubic cm.
Answer:
The slope of WX and WY
Step-by-step explanation:
For us to have a rectangle, the angles at the edges equal 90
What this mean is that the width and the length are at 90 degrees
Hence, we can say that they are perpendicular to one another
Thus, we can calculate the slopes of both to drive home our point
Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle
The answer is c is 13. You can use the Pythagorean theorem because it is a right triangle. I hope this helps you.
