<h3>
Answer: Exactly One Triangle</h3>
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Explanation:
Recall that by the SAS (side angle side) congruence theorem, if we know that two pairs of sides are the same length and the angles between them are also congruent, then we can conclude the triangles are congruent. This further means that we can only construct exactly one triangle with two side lengths of 6 inches, and they form a 50 degree angle between them. Applying transformations such as rotations, translations, or reflections will not change the triangle.
Side note: This triangle is isosceles because two sides are the same length. It is not equilateral because we would need to have all three angles to be 60 degrees.
Answer:
57.60
Step-by-step explanation:
If the coat is marked up 28%, then the cost is increased by 28% to produce the selling price.
SP = 45 + 28/100 * 45
SP = Selling Price
SP = 45 + 28*45 / 100
SP = 45 + 1260 / 100
SP = 45 + 12.60
SP = 57.60
Answer: The selling price is 57.60
Step-by-step explanation:
Part A
A) The denominator is 665, so this is a terminating decimal.
B) 11/99 = 1/9 = 0.1111...
C) 256/999 = 0.256256256...
D) 25/909 = 275/9999 = 0.027502750275...
B has 1 repeating digit, C has 3 repeating digits, and D has 4 repeating digits. So the correct answer is C.
Part B
A decimal that can be written as a ratio of integers is a rational number.
Answer:
I will assume that the term "x+2/2" is meant to be "(x + 2)/2)." Otherwise the equation would read (x/3) = x + 1
Step-by-step explanation:
(x/3) = (x + 2)/2
x = 3*(x+2)/2 [Multiply both sides by 3]
x = (3x + 6)/2
x = (3/2)x + 6/2
x - (3/2)x = 3
-0.5x = 3
x = -6
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Check:
Does (x/3) = (x + 2)/2 for x = -6?
(-6/3) = (-6 + 2)/2
-2 = -4/2
-2 = -2 YES
Answer:
4 (4m+5n)
Step-by-step explanation:
hope this helps
