Answer: The most significant angle created during his journey appears at the mall, between his house and the library.
Step-by-step explanation:
Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.
For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.
Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.
If you need further clarification or have questions, feel free to ask!
The first equation is x + y = 29, and the second is 5x + 2y = 100.
Answer:
$110.
Step-by-step explanation:
Let x represent the cost of the item that Carmen bought from the department store.
Carmen possesses $30 in store bucks along with a 25% discount coupon for a local department store. Our goal is to determine the maximum cost for Carmen's purchase such that after applying her store bucks and discount, her total remains at or below $60 before sales tax.
Since the $30 in store bucks is deducted prior to applying the 25% discount, we need to find x such that x - 30 minus 25% of (x - 30) must be less than or equal to 60. This can be set up as an equation:
Thus, Carmen's purchases should total no more than $110 before sales tax.
Let Sanku be x. If Madhu's age is three times his, Madhu would be 3x. The age difference is 14, leading to the equation 3x - x = 14, which simplifies to 2x = 14, thus x = 7, indicating Sanku is 7 years old, while Madhu is 21.
Since there is no accompanying figure, we assume points L, M, and N lie on the same line, with point L between M and N.
The total length of segment MN equals the sum of segments LN and LM, expressed as:
LN + LM = MN
Substituting the given lengths:
MN = 54 + 31
MN = 85
ANSWER: MN = 85
