Answer:
Triangle C
Step-by-step explanation:
Triangle A: All sides have length 9 cm.
<em>By </em><em>SSS</em><em> this is a </em><em>unique</em><em> triangle.
</em>
Triangle B: Two sides have length 10 cm, and the included angle measures 60°.
<em>By </em><em>SAS</em><em> this is a </em><em>unique</em><em> triangle.
</em>
Triangle C: Two angles measure 50°.
<em>This gives us at most </em><em>SS Similarity</em><em>, so we do not have a unique triangle. The triangle sides can be any length. </em><em>This is not unique</em><em>.
</em>
<em>
</em>
Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?
<em>
This gives us </em><em>ASA</em><em>, so we have a </em><em>unique</em><em> triangle.
</em>
Answer: Triangle C
If you need to answer questions like these use Socratic it helps
Answer:
- x(27 +24) or 3x(9 +8)
- 0.5(n +5) or 2.5(n/5 +1)
Step-by-step explanation:
The distributive property of multiplication over addition tells us that the product of a value and a sum will be the same as the sum of products of the value and the sum's addends. This property can be used to add or remove parentheses from an arithmetic expression.
a(b +c) = ab +ac . . . . expression of the distributive property
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When applying the distributive property to a sum, the first step is to look for a factor common to the terms of the sum. That factor need not be the greatest common factor, though it is often useful if it is.
Below, we have written each expression using two different common factors.
<h3>a)</h3>
27x +24x = x(27 +24) = 3x(9 +8)
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<h3>b)</h3>
0.5n +2.5 = 0.5(n +5) = 2.5(n/5 +1)
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<em>Additional comment</em>
Finding a common factor can make use of knowledge of multiplication tables, rules of exponents, and identities involving various functions used in algebraic expressions. It is sometimes useful to list the prime factors of each of the terms as an aid to finding a common one. Where fractions are involved, it is sometimes helpful to express them all using a common denominator.
The Euclidean Algorithm can also be useful for finding common factors.
Answer:
2.76
Step-by-step explanation:
you only round up if it is a five or higher
To answer this, you will first need to simply the expressions.
Now with the expressions simplified, you'll add the two together getting 
