G(x) is a translation of f(x) 5 units up
Giving us g(x)=f(x)+5
So k=5
Answer: 
Step-by-step explanation:
You can reduce the fractions, then:



Rewrite them as following:

If you subtract the first number and the second number, you obtain:

If you subtract the second number and the second number, you obtain:

Therefore, you must subtract
and
to obtain the number asked. Then, this is:

Step-by-step explanation:
<em>Thanks</em><em> don't</em><em> forget</em><em> to</em><em> follow</em><em> up</em><em>.</em><em>.</em><em>. </em>
Given:
Point F,G,H are midpoints of the sides of the triangle CDE.

To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get




GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get




Now, the perimeter of the triangle CDE is:



Therefore, the perimeter of the triangle CDE is 56 units.
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.