This one also... 5−(3x+2)=17
2 answers:
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Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:
Now we can solve by multiplying both sides by x+41 to eliminate the fraction:
Now we multiply out the brackets and move the terms to different sides:
And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
Answer:
Cora put 3600 apple slices in each bowl.
Step-by-step explanation:
Cora sliced 18 kg of green apples for a Party.
She divided the Apple slices equally between 5 large bowls.
We need to find how many grams of Apple slices did Cora put in each bowl.
Since,
1 kg = 1000 grams
18 kg = 18000 grams
To find how many grams of Apple slices did Cora put in each bowl, divide total apples by total no of bowls.
Hence, Cora put 3600 apple slices in each bowl.