Answer:
The answers are;
m = 9, e = 9
Step-by-step explanation:
The question relates to right triangles with special properties;
The given parameters of the given right triangles are;
The measure of an interior angle of the triangle = 45°
The length of the given leg length of the triangle = (9·√2)/2
The length of the other leg length of the triangle = n
The length of the hypotenuse side = m
A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal
Therefore;
The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2
∴ n = (9·√2)/2
n = (e·√f)/g
Therefore, by comparison, we have;
e = 9, f = 2, and g = 2
By Pythagoras's theorem, we have;
m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9
m = 9.
Answer:
x = 7
Step-by-step explanation:
Rearrange the equation to make x the subject.
Original:
7x + 3 = 52
subtract 3 from both sides
7x = 52 -3
7x = 49
Divide both sides by 7
x = 49/7
x = 7
Answer:
18(x - 3)
Step-by-step explanation:
18x - 54 ← factor out 18 from each term
= 18(x - 3)
Answer: A cylindrical thermos has a radius of 4 inches. It holds 40 fluid ounces. How many ounces will a similar thermos with a radius of 6 inches hold? An You have a set of three similar nesting gift boxes. Each box is a regular hexagonal prism. The large box has 10-cm base edges. The medium box has 6-cm base edges. The small box has 3
Step-by-step explanation:
