Answer:
3.7 Miles
Step-by-step explanation:
Add all of the miles, then subtract it by 20.
You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:


But since we're given
, the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.
Let Mike sold M cars and Bill sold B cars.
Now both sold 640 cars in total, means M + B = 640,
also Mike sold 3 times as many as Bill, means M = 3*B. So our equations became,
M + B = 640, & M = 3*B, put value of M in terms of B.
3*B + B = 640, 4*B = 640,
B = 640/4, B = 160, as M = 3*B, M = 3*160 = 480.
So Mike sold 480 cars & Bill sold 160 cars.
Answer:
I don't remember well, and I'm not sure if this is correct, but, I think the answer is This is beacuse ∠FCD are facing with ∠CDG meaning it would be a same side interior angle.
Answer:
.4 is the answer
Step-by-step explanation:
This is a right triangle problem. We have one leg as .5 in length and the other leg as 1.2 in length. The "straight" way to your grandma's house is the hypotenuse. We need to find that length which will give us the distance straight from your house to their house if you didn't have to go out of your way to avoid the water. The hypotenuse is found with Pythagorean's Theorem. It will be filled in and solved as follows:



and c = 1.3
That's the straight distance. You had to go out of your way to the tune of .5+1.2 which is 1.7 miles. You figure out how much shorter it is taking the straight path by subtracting 1.7 - 1.3 which is .4