Answer:
<h2>x = 5</h2><h2>OB = 36</h2><h2>BE = 54</h2>Step-by-step explanation:
We know that the medians of the triangle divides in a ratio of 2:1. Therefore we have the equation:
<em>cross multiply</em>
<em>use distributive property a(b + c) = ab + ac</em>
<em>add 9 to both sides</em>
<em>subtract 4x from both sides</em>
<em>divide both sides by 5</em>
Answer:
1. 0.8 cm
2. 1.6 cm
Step-by-step explanation:
1.
The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".
We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.
So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):
Hene, 0.8 centimeters would be the distance in 2nd map
2.
A scale of 1:50 means 1 cm equal 50 cm
So, 0.8m would be
0.8 * 100 = 80 cm
Hence, 80 cm would be represented by 80/50 on the map, that is:
That is 1.6 centimeters