Answer:
Step-by-step explanation:
Given:
The equation of the known line is:
A point on the unknown line is (-4, 4)
Now, since the two lines are parallel, their slopes must be equal.
Now, slope of the known line is the coefficient of 'x' which is 
.
Therefore, the slope of the unknown line is also 
Now, for a line with slope 'm' and a point on it 
is given as:
Here, 
. Therefore,
Hence, the equation of the unknown line is .
9•44=396
396/54=7.3 repeating
Therefore y=7.33
Answer:
24
Step-by-step explanation:
The answer is D because all the other go against the triangle inequality theorem. which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side<span>
</span>
<h3>
Answer: x = 19.7 (choice C)</h3>
=========================================================
Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
- opposite = vertical leg = 8
- adjacent = horizontal leg = unknown
- hypotenuse = x
The hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode
