On the map 5th ave. 6th ave. and 7th ave. are parallel
1 answer:
The length of Main St. between 5th Ave. and 6th Ave Round to the nearest hundredth is; 0.24 km
<h3>How to use triangle proportionality theorem?</h3>From the image attached, we are given that 5th Avenue is parallel to 6th avenue.
Now, Let the length of main street between 5th and 6th Avenue be x.
By using the triangle proportionality theorem, we have;
0.4/x = 0.5/0.3
Thus;
x = (0.4 * 0.3)/0.5
x = 0.24 km
In conclusion, the length of street is 0.24 km
Read more on triangle proportionality theorem at; brainly.com/question/8160153
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Hello oddworld7836!
Factor the expression into an equivalent form 12y² - 75.
By observing the expression, we can see that, 3 is the only common factor in both the terms of the expression. So, take the common factor 3 out.
Now, look at (4y² - 25). They don't have any common factors but they appear in the form of the algebraic identity ⇨ a² - b² = (a + b) (a - b). Here,
- a² = 4, a = 2 (√a² = ✓4 = 2)
- b² = 25, b = 5 (√b² = ✓25 = 5)
So, the (4y² + 25) becomes...
Now, bring the 3 (common factor) & rewrite the complete expression.
We can't further simplify it. Also, remember that the simplified form of an expression is equivalent to the expression. So, 3 (2y - 5) (2y + 5) is equivalent to 12y² - 75.
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