PLZ HELP ASAP SOLVE SIMMILAR TRAINGLES

Mathematics

1 answer:

Dafna1 [17]4 years ago

8 0

The two similar triangles in the figures are:

a) ABC
b) ADE

For triangle ABC, the two sides are x and 6.
For triangle ADE, two corresponding sides are (x+8) and 8

For similar triangles, the ratio of corresponding sides is the same.

So, we can write:

$\frac{x}{6}= \frac{x+8}{8} \\ \\ 
8x=6(x+8) \\ \\ 
8x=6x+48 \\ \\ 
2x=48 \\ \\ 
x=24
$

Thus, the value of x will be 24

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I cant believe how bad my brother, Reuben, is at growing things. He bought a whole bunch of plants at the nursery the other day.

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Answer:

68 plants.

Step-by-step explanation:

Let x represent the number of plants that Reuben bought from the nursery.

We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be $x-5$ .

We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be $\frac{2}{9}(x-5)$ .

Further a rabbit came and ate ½ of what was left. So number of plants left would be $\frac{\frac{2}{9}(x-5)}{2}=\frac{2}{9\times 2}(x-5)=\frac{1}{9}(x-5)$ .