Slope = rise/run
slope = (-6)/3
slope = -2
Step-by-step explanation:
It is 28°
Because both triangles FED and ABC are right (converse of pythagorean theorem)
Also the lengths of the side of the triangle ABC is double the lengths of the side of the other triangle
You calculate the measure of the angle ∠A in triangle ABC which is 28° (by calculation)
This will also be the measure of angle D
I'm not sure if it is right but hopefully it will help you.
Given:
A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course.
The distance between plan and mountain is 10 km.
A short time later, the bearing to the mountain becomes 45°.
Here NM is the distance between the plane from the mountain when the second bearing is taken.
We need to find the measure of NM.

The sum of the supplementary angles is 180 degrees.





We know that the sum of all three angles of the triangle is 180 degrees.






Consider the sine law.

Take the equation to find the measure of NM.





Hence the measure of NM is 8.1 km.
The plane is 8.1 km far from the mountain when the second bearing is taken.
Answer:
120 different possible lunch specials
Step-by-step explanation:
To calculate the overall number of possible lunch specials that can be made we would need to multiply together all of the options from each one of the items found in the lunch special. These values are provided in the question so we can simply multiply them all together to calculate the total possible lunch specials that can be made...
- Salads=3
- Soups=2
- Sandwiches=5
- Drinks=4
3 * 2 * 5 * 4 = 120 possibilities
Finally, we can see that there are a total of 120 different possible lunch specials that can be made with the availble options.
Area of a triangle is 1/2 x base x height:
Area = 1/2 x 8 x 20.5 = 82 square cm.
It is hone-half the area of a rectangle with dimensions 20.5 by 8 cm.