Answer:
(i) Triangle ABC and triangle ADE are similar triangles. Hence, their ratios will be same.
Ratio of DE to BC is 4:6 => 2:3
To find area, we need to raise the ratio of length to power 2
(2/3)² = 16/x
4/9 = 16/x
x = (16*9)/4
x = 36cm²
Therefore, area of triangle ABC is 36cm²
(ii) Ratio of DE to BC is 4:8 => 1:2
(1/2)² = 25/x
1/4 = 25/x
x = 25*4
x = 100cm²
Therefore, area of triangle ABC is 100cm²
I'm not sure about the third question, sorry
Step-by-step explanation:
Step-by-step explanation:
-6x + 5 -5 < 41-5
-6x/-6 < 36/-6
x > -6
S.s{-5,-4,-3,-2,-1.....}
Why not? Because every math system you've ever worked with has obeyed these properties! You have never dealt with a system where a×b did not in fact equal b×a, for instance, or where (a×b)×c did not equal a×(b×c). Which is why the properties probably seem somewhat pointless to you. Don't worry about their "relevance" for now; just make sure you can keep the properties straight so you can pass the next test. The lesson below explains how I kept track of the properties.
Multiply1.5 and 8 to get a product of 12
1.5x8= 12