Answer:
No
Step-by-step explanation:
According to the Pythagorean Inequality Theorem, the sum of the two shorter sides must exceed the length of the third side.
4+6=10
11 is still greater than 10.
Hence, constructing such a triangle is not feasible.
Let n denote the number of days and C the total cost; Charges by Day and Night kennel, C=15+20n Charges by Home Away from Home; C=5 + 30n The resulting system of equations would be; C=15+20n C=5+30n
The correct answer is Option (D). The subtraction property of equality asserts that whatever is subtracted from one side of an equation must also be subtracted from the other side. In the instance where x + 2 = 2, applying this property leads to: x + 2 - 2 = 2 - 2, simplifying to x = 0. However, the provided question displays the addition property of equality utilized in step 2, indicating that the subtraction property was not applied there. Consequently, Option (D) is the correct response.
142 pages. Step-by-step explanation: The provided parameters state that the first page of the lost portion of the book is numbered 143. The last page has the same digits as 143. As the book is divided into two segments, one segment begins at page one, while the other follows after the first segment ends. Therefore, the pages in the first section are numbered from 1 up to the first page of the second part minus one, which means the missing part of the book contains pages from 1 to 142, resulting in 142 pages.
To determine the missing angle of P, which measures 30 degrees, angle P and C are congruent since they are identical. The longest side, the hypotenuse, is PC, corresponding to angle T. Utilizing the Pythagorean Theorem, a² + b² = c², we find (PT)² + (CT)² = (PC)². Knowing that PT equals 4 and since PT and CT are congruent, we can restate it as (4)² + (4)² = (PC)², leading to PC being equal to rad(32). Could someone please confirm?
