Write a system of equations to describe the following scenario: x = the number of apartment buildings
y = the number of individual homes
Apartment buildings average 28 people and individual homes average 4 people. The total number of people that need to live on the block is 116. The total number of buildings on the lot is 5. What system of equations would help you determine how many of each home type to build?

28x+4y=116

x+y=5

Step-by-step explanation:

28(apartments)+4(houses)=116 total

(amt of apartments)+(amt of houses)=5 total

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.