Step-by-step explanation:
How to simplify
-6x (some sign, it didn't show in the question)30
Divide by -6 on both sides to isolate the variable.
30 divided by -6 is -5, so x=-5.
The range of the data is 93
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>
Answer:
right
Step-by-step explanation:
The side ratios are ...
24 : 45 : 51 = 8 : 15 : 17
These numbers are a Pythagorean triple. The triangle is a right triangle.
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24² + 45² = 576 +2025 = 2601 = 51² . . . . the Pythagorean theorem is satisfied
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