ED = x - 5 <em>given</em>
DG = 4x - 38 <em>given</em>
ED = DG <em>definition of midpoint</em>
x - 5 = 4x - 38 <em>substitution</em>
-5 = 3x - 38 <em>subtraction property of equality (subtracted x from both sides)</em>
33 = 3x <em>addition property of equality (added 38 to both sides)</em>
11 = x <em>division property of equality (divided 3 from both sides)</em>
ED = x - 5 → ED = 11 - 5 → ED = 6 <em>substitution</em>
since ED = DG, then DG = 6 <em>transitive property</em>
ED + DG = EG <em>segment addition property</em>
6 + 6 = EG <em>substitution</em>
12 = EG <em>simplified like terms</em>
Answer: 12
Answer:
Surface area = 4 π r2 square units
Step-by-step explanation:
Answer:
C. $29.20
Step-by-step explanation:
The difference between using an electric stove and a gas stove everyday is 13 cents - 5 cents= 8 cents.
Saving 8 cents everyday.
Therefore for a year, Bryce will save 8 cents × 365days = 2920 cents
Then 2920 cents = $(2920÷100)
=$29.20
X and Y can almost be any number and long as the statement 'equal to' is true the equation is correct.
Answer:
Step-by-step explanation:
let x be the numerator of the rational number then 2x is the denominator
original fraction = 
subtracting 3 from numerator and adding 7 to denominator , gives
= 
( cross- multiply )
5(x - 3) = 2(2x + 7) ← distribute parenthesis on both sides )
5x - 15 = 4x + 14 ( subtract 4x from both sides )
x - 15 = 14 ( add 15 to both sides )
x = 29
rational number =
