Answer:CD = x = 4 units
Explanation:We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:

W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5
Substitute in the above proportionality and solve for x as follows:

4x = 20 - x
5x = 20
x = 4
Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units
Hope this helps :)
Answer:
m∠EGC=70°
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite
so
m∠EGC=(1/2)[arc EC+arc DF]
<u><em>Find the value of x</em></u>
we have
m∠EGC=(7x+7)°
arc EC=50°
arc DF=10x°
substitute and solve for x
(7x+7)°=(1/2)[50°+10x°]
14x+14=50+10x
14x-10x=50-14
4x=36
x=9
<u><em>Find the measure of angle EGC</em></u>
m∠EGC=(7x+7)°
substitute the value of x
m∠EGC=(7(9)+7)°=70°
To solve the inequality 

The numerator
is not factorizable.
so factor the denominator
:

Now take 
Then we get factor of the denominator as 
Thus 
Now 
Signs of 

is the required solution of the given inequality.
30 girls and 42 boys so idk this makes no sense and I'm older than you
When x=0, y=-8, so that is the y-intercept.
When x increases by 1, y decreases by 2, so the slope is -2.
The equation of the function is
.. y = -2x -8