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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.
Your inequality would look like 7>w>2
Answer:
- first mechanic: $105/hour
- second mechanic: $55/hour
Step-by-step explanation:
Let r represent the rate charged by the first mechanic. Then 160-r is the rate charged by the second mechanic. The total of charges is ...
20r +5(160-r) = 2375
15r +800 = 2375 . . . . . . eliminate parentheses
15r = 1575 . . . . . . . . . . . . subtract 800
r = 105 . . . . . . . . . . . . . . . divide by 15. First mechanic's rate.
160-r = 55 . . . . . Second mechanic's rate
The first mechanic charged $105 per hour; the second, $55 per hour.
Answer:
Profit = $6
Step-by-step explanation:
The box of apple that the man bought contained 100 apples.
These 100 apples were gotten for $44
Then he sold the 100 apples for $0.5 each.
So sales price = 0.5 * 100 = $50
To know if he made profit or loss.
Sales price - cost price
$50 - $44
= $6
This man made profit of $6 from the sales of the apples from the calculation above.
Answer:
The first answer, 3 times the square root of x squared is correct.