Answer:
Adults = x
Students = y = x + 40. 40 more student than adult
Adult = $8, Student = $6
Total for Adults = 8*x = 8x
Total for students = 6*y = 6y
Total = $1920
8x + 6y = 1920
Hence system of equations are:
y = x + 40
8x + 6y = 1920
C = 2πr
r = radius
c = circumference = 18
Plug in the corresponding numbers with variables.
18 = 2πr
Isolate the r. Divide 2 and π from both sides
(18)/2π = (2πr)/2π
9/π = r
C/π = r is your formula to finding r.
~
Hello!
If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.
To give you a visual, this is what I mean.
That means we'll want to find 
with the first point we're given: 
Which means our equation is:
Now, let's plug in the 
and 
from the other point to find 
.
Hope this helps!
To prove that <span>AEC≅ AED, we need to write following proofs or statement reasons.
It is given that points C and D are equidistant to point A. Hence,
</span><span>AD ≅ AC
Next, </span><span>CAE ≅ DAE. AE is the common side or the included side.
</span><span>
Then, </span><span>AE ≅ EA by Reflexive Property of Congruence as it is congruent to itself.
Lastly, </span><span>EAD ≅ EAC by Symmetric Property of Congruence as these triangles are mirror image of each other.
</span>
Therefore, we can conclude that AEC≅ AED by SSS or Side-Side-Side. That is when all sides of triangles are congruent then both triangles are deemed to be equal.
Answer:
x ≥−42
Step-by-step explanation:
x/7 ≥−6
Multiply each side by 7
x/7 * ≥−6*7
x ≥−42
