a. The bridge can hold at most 1000 pounds. This tells you everyone's accumulative weight needs to be less than or equal to 1000. The problem does not give your friend's weight... yet. Let x = your friend's weight.
Your friend's weight (x) plus your weight (156) plus everyone else's weight (675) must be less than or equal to (≤) 1000 pounds.
x + 156 + 675 ≤ 1000
Combine like terms (the constants) to simplify and get your final inequality:
x + 831 ≤ 1000
b. Now, we find out your friend weighs 182 pounds. x = 182. We plug this into the above equation. If it results in a true statement, then you both can walk across the bridge.
182 + 831 ≤ 1000
1013 ≤ 1000, is not a true statement.
No. You both cannot walk across the bridge as is because the weight of the people on the bridge would be 13 pounds over the weight limit.
It is important to note the details already given in the question. Based on those details the answer to the question can be easily determined. Now let us focus on the question given.
Cost price of the product in question = $360
Percentage of gain on the product = 12.5%
Then
amount of gain made on the product = (12.5/100) * 360 dollars
= 450/10 dollars
= 45 dollars
So
The selling price of the product in question = (360 + 45) dollars
= 405 dollars
9514 1404 393
Explanation:
1. AD ≅ BC, AD ║ BC . . . . given
2. ∠DAC ≅ ∠BCA . . . . alternate interior angles theorem
3. AC ≅AC . . . . reflexive property
4. ΔDAC ≅ ΔBCA . . . . SAS postulate
5. AB ≅ CD, ∠BAC ≅ ∠DCA . . . . CPCTC
6. AB ║ CD . . . . converse of alternate interior angles theorem
7. ABCD is a parallelogram . . . . definition of a parallelogram (has 2 pairs of parallel & congruent sides)
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We don't know what your tiles/choices are for statements or reasons. We have shown the triangles are congruent, so their corresponding parts (sides/angles) are congruent. That lets us claim opposite sides are congruent and parallel. YMMV
