If the triangles are congruent, the angle opposite the 32 cm side will have the same measure as angle E, 40°. An appropriate choice for this question is ...
b. The measure of c is 40.
_____
In actual fact, the triangles not only are not congruent, they cannot exist. The total of sides FG and FE (82 cm) is less than the length of side GE (38 in). 82 cm is about 32.3 inches, about 5.7 inches too short.
Even if you overlook the units problem, the sum of squares of the sides of the triangle is 32² +38² = 2468, somewhat short of 50² = 2500. That is, the largest angle is slightly more than 90°. It is closer to 90.754° ≈ 91°.
You can label a diagram any way you want, but that doesn't mean the numbers are consistent or sensible.
Find what is common between 35 and 55....and that would be 5....so factor 5 out
35x + 55 =
5(7x + 11) <==
Answer: 
Step-by-step explanation:
Using Pythagoras theorem , since it is a right angled triangle ,
side 1 = 10cm
side 2 = x cm
side 3 = x cm
Pythagoras theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. That is

100 = 
divide through by 2 , we have
50 = 
find the square root of both sides


Answer:
f(x) crosses the x-axis, then
f(x)=(x+4)^6(x+7)^5 = 0
=> x+4 =0 or x+7=0
=> x =-4 or x = -7
Host A: 60+13.25h
Host B: 75+11.5h
60+13.25h =75+11.25h
subtract 11.25h from each side
60+2h = 75
subtract 60 from each side
2h = 15
divide by 2
h = 7.5
at 7.5 hours the two hosts will charge the same