On a farm in iowa lived grandpa bill in a big yellow house on the top of the hill. his 70th birthday was this very day. all of his family were on their way. his wife sue had baked a cake. they'd all eat it by the lake. after the party the grandkids would play with all of the dogs then roll in the hay. he'd look out the window and what would he see? eighty-four legs and heads thirty- grandpa bill's question for you is not very hard. how many dogs and grandchildren will be in the yard?

Let g be the number of grandchildren, and d be the number of dogs. They both have only one head, so the number of heads is

Grandchildren have 2 legs, while dogs have 4. So, the total number of legs is

From the first equation (the one for the heads) we can derive

Substitute this into the second to get

So, there are 9 dogs and (from the first equation

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.