Step-by-step explanation:
Given
Two similar triangles i.e. 
from the figure, In 
Also, In 
Answer:
Step-by-step explanation:
Since we use the sides opposite and adjacent to the given angle, we will use the tangent ratio:
Insert the given values:
Since we need to find the angle, use the inverse:
Insert the equation into a calculator:
Round to the nearest tenth:
:Done
No two <em>intergers</em> can solve this problem. If you're not in Algebra II yet, the answer is probably "none."
Just look at the factor pairs of 25:
1 × 25
-1 × 25
5 × 5
-5 × -5
Clearly none of those can add up to 6.
If you want the more complex answer, I'll show you how here. If you don't understand why it doesn't work, that's okay. I just want you to see that there's not an actual answer to the problem.
a+b = 6
a = 6-b
ab = 25
(6-b)b = 25
6b -b² = 25
-b² + 6b = 25
b² -6b = -25
Factor by splitting the middle.
Half of -6 is -3, (-3)² = 9. Add this to each side.
b² -6b + 9 = -16
Factor the perfect square trinomial.
(b-3)² = -16
Take the square root of each side.
b-3 = 4i
b = 3+4i
a+b = 6
a+3+4i = 6
a= 3-4i
<em>(The "i" stands for an imaginary number, specifically, the square root of -1.)</em>
Standard form is Ax + By = C
Where A is a positive integer
The y needs to be moved to the left side so subtract 3y from both sides.
2x - 3y = -8
Answer:
k = 2
Step-by-step explanation:
Given
15k - 4 = 5k + 16 ( subtract 5k from both sides )
10k - 4 = 16 ( add 4 to both sides )
10k = 20 ( divide both sides by 10 )
k = 2
