Answer:
It's D because 2y and 0.5x both have a vrible besilde it .
Answer:
<h2>x = 8.5in, y = 17in, r = 28°, s = 62°</h2>
Step-by-step explanation:
If ΔJNZ and ΔKOA are similar, then corresponding sides are in proportion and corresponding angles are congruent.
We have the proportion:
and equations:
We have:
For y we must use the Pythagorean theorem:
<em>cross multiply</em>
<em>divide both sides by 8</em>
So all of the internal angles of a triangle will add up to 180 degrees. So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...
(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13
Now we can substitute 13 into each expression to find the value of each angle...
2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees
3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees
9x =
9(13) = 117 degrees
So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.
The smallest is 27 degrees
** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes). Please check to see that the question is written correctly (pay close attention to plus and minus signs).
Answer:
goes into the box
Step-by-step explanation:
Let the number be 
, then
We now use the following property of exponents to simplify the left hand side of the equation.
This implies that;
Since the bases are the same, we equate the exponents to get;
We now multiply both sides by 3 to get;
Therefore the number that goes into the box is
