Answer:
5 units
Step-by-step explanation:
Let point O be the point of intersection of the kite diagonals.
|OF| = 2, |OH| = 5
|FH| = |OF| + |OH| = 2 + 5 = 7
FH and EG are the diagonals of the kite. Hence the area of thee kite is:
Area of kite EFGH = (FH * EG) / 2
Substituting:
35 = (7 * |EG|) / 2
|EG| * 7 = 70
|EG| = 10 units
The longer diagonal of a kite bisects the shorter one, therefore |GO| = |EO| = 10 / 2 = 5 units
x = |GO| = |EO| = 5 units
<em><u>The expression that describes the number of tickets won by Lily is:</u></em>
a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben
<em><u>Solution:</u></em>
Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes
Let "a" be the number of tokens won by Lily
Let "b" be the number of tokens won by Louis
Let "c" be the number of tokens won by Ben
<em><u>Given that Louis won 4.5 times as many tokens as Ben</u></em>
So we can frame a equation as:
number of tokens won by Louis = 4.5 times as many tokens as Ben
number of tokens won by Louis = 4.5 x number of tokens won by Ben
b = 4.5c
<em><u>Given that Lily won 8 more tokens than Louis</u></em>
number of tokens won by Lily = 8 + number of tokens won by Louis
a = 8 + b
Substituting the value of b = 4.5c in above expression
a = 8 + 4.5c
Thus the expression that describes how many tokens Lily won is found
