Answer:
x = 5.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define</u>
31 = x + 25.5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 25.5 on both sides: 5.5 = x
- Rewrite: x = 5.5
of right angle triangle! .
<u>Step-by-step explanation:</u>
Here we have , A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the length of the other leg is 25 centimeters. The student incorrectly says that the length of the hypotenuse is 7.5 centimeters. We need to find:
A)
We have , One length as 32 cm and other as 25 cm , as
By Pythagoras Theorem ,
⇒ 
⇒ 
⇒ 
⇒
So , of right angle triangle! .
<span>M can have a coordinate of (-9) or (1)
There are potentially 3 different places for point M to go. It can be placed to the left of point A, between points A and B, and to the right of point B. Let's check those three possibilities.
1. Left of point A. This works if the distance between M and A is the same as the distance between A and B. So
distance between A and B = 6 - (-1.5) = 6 + 1.5 = 7.5
So the location for M would be
-1.5 - 7.5 = -9
So point M can have the value of -9.
2. Between A and B.
This would also work. Since we want a 1:2 ratio, place M one third of the way from A to B. Since we already know the distance between A and B to be 7.5, that means that we should add 7.5/3 = 2.5 to the value of A. So
-1.5 + 2.5 = 1
So point M can also have the value of 1.
3. To the right of point B
This won't work. Point B will always be closer to M than point A will be. So it's impossible to get a ratio of 1:2.</span>
Answer:
2
Step-by-step explanation:
10/16 ÷ 5/16
0.625 ÷ 0.3125
2
