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:
Step-by-step explanation:
using the sine rule,
F(x) = x + 1
------
b
g(x) = cx - d
flip values of x and y in each equation, then solve for y:
x = y + a
-------
b
y = a - bx
``````````````````````````````````````````````````````````
x = cy - d
y = x + d
-------
c
Answer:
See below.
Step-by-step explanation:
The addition method is a good choice in this case since you have x in one equation and -x in the other equation, and x and -x add to zero, eliminating x.
x - 5.5y = -14
-x + 2.6y = 8.2
Add the equations. x and -x ad to zero, eliminating x. Then solve for y.
-2.9y = -5.8
Divide both sides by -2.9
y = 2
Substitute 2 for y in the first original equation, and solve for x.
x - 5.5y = -14
x - 5.5(2) = -14
x - 11 = -14
x = -3
Solution: x = -3; y = 2
Since the coefficients of y in the two original equations are not opposites, the addition method would not be the best method to use to solve for y first.
