When rounding 243.875: to the nearest tenth, it becomes 243.9; to the nearest hundredth, it is 243.88; to the nearest ten, it rounds down to 240; and to the nearest hundred, it rounds down to 200. The general rule in rounding states that if the decimal is less than 5, the number remains the same; if it is 5 or more, you round up.
Given the specified angles, one is 90 degrees, indicating that the triangle is a right triangle. With provided angles and one side representing the hypotenuse (the longest side), the area is determined using the formula: Area = 1/2 * base * height. Let's compute the height and base:
From sin 75, we derive height = 1.67.
And from cos 75, we obtain base = 0.45.
Calculating area gives us Area = (0.45 * 1.67) / 2, resulting in 0.37 square units.
Thus, the triangle's area is approximately 0.37 square units.
Answer: C) HF measures 4 units and GH is 2 units.
Step-by-step explanation:
The SSS similarity theorem asserts that triangles are similar if the lengths of their corresponding sides are in proportion.
For triangles ΔDFE and ΔGFH:
DG equals 15, GF is 5, EH equals 12, and DE is 8.
To demonstrate the similarity of ΔDFE and ΔGFH according to the SSS similarity theorem, we require:

Thus, to confirm that △DFE is similar to △GFH utilizing the SSS similarity theorem and the data from the diagram, it is essential to establish that HF measures 4 units and GH measures 2 units.
Answer:
Quotient: 
Refer to the attached document.
Step-by-step explanation:
Provided: 
A rational expression is provided, and we need to compute the quotient.
We will utilize long division to obtain the quotient.
Initially, we eliminate
by
)
( 





Thus, the result of the division is 