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
Answer:
3/8 + 1/4 < 1
Check: Find common denominators, what you do to the denominator, you do to the numerator. Multiply 2 to both the top and bottom of the fraction:
(1/4)(2/2) = 2/8
3/8 + 2/8 < 1
5/8 < 1
5/8 < 8/8 (True).
Any fraction works in the second one, for regardless, you will get less than a whole number, so solve the third one first.
The 2 fractions needed will have to be greater than 1. 1/4 has already been used, so find two pairs of fractions that will, when added, be greater than 1.
(7/8 + 3/4)
Find common denominators, what you do to the denominator, you must do to the numerator:
(7/8)(2/2) + (3/4)(4/4) = (14/16) + (12/16) = 26/16
26/16 > 1 (True).
Finally, the last one will be 2/3.
2/3 - 1/8 < 1
Find common denominators, what you do to the denominator, you must do to the numerator:
(2/3)(8/8) - (1/8)(3/3) < 1
16/24 - 3/24 < 1
13/24 < 1 (True).
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Answer:
Because you first take 75% off of the first price then 25% off the discounted price
Example:
Lets say you have a item that cost $50 and you use a 75% discount card that will make the item $37.5. The you add an additional 25% off which will equal $9.38.
7w + 3 = 5w + 9
Step 1:
Get the 3 to the other side by subtracting
7w = 5w + 6
Step 2:
Get the 5w to the other side by subtracting
2w = 6
Step 3
Divide
6/2 = 3
Answer is 3
Answer:
190.8 miles
Step-by-step explanation:
53/5 = 10.6
10.6* 18 = 190.8
