John and sarah have been married for exactly 37 years. sarah is four years older than john. in the current year, the sum of their ages is 124. we wish to use this information to determine their ages when they were first married. (a) set up and write an equation that represents the unknown ages in terms of sarah's age when they were first married. (the variable in your equation should represent sarah's age when they were married.) (b) use your equation to determine how old sarah was when they were first married. (c) use your result fron part (b) to determine how old john was when they were first married.

(a)

(b) 27 years

(c) 23 years

Step-by-step explanation:

Let x years be Sarah's age when they married.

Sarah is four years older than John, then x - 4 years is John's age when they married.

John and Sarah have been married for exactly 37 years, then after 37 years,

John's age = x - 4 + 37 = x + 33 years

Sarah's age = x +  37 years

In the current year, the sum of their ages is 124, so

(a) The equation that represents the unknown ages in terms of Sarah's age when they were first married is

(b) Solve this equation

(c) John's age is

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.