It takes 2 wooden sticks and 1.5 square feet of paper to make a kite, and it takes 12 wooden sticks and 8 square
feet of paper to make a lamp.
min-young wants to make kites and lamps using at least 87 wooden sticks and more than 63 square feet of
paper.
let k denote the number of kites she makes and l the number of lamps she makes.
write an inequality that represents the condition based on the number of wooden sticks. write an inequality that represents the condition based on the number of square feet of paper.

2K + 12L ≥ 87 and 1.5K + 8L > 63

Step-by-step explanation:

It takes 2 wooden sticks and 1.5 square feet of paper to make a kite, and it takes 12 wooden sticks and 8 square  feet of paper to make a lamp.

If K denotes the number of kites that Min-Young made and L denotes the number of lamps she made then  

2K + 12L is the number of wooden sticks that she used which is greater than equal to 87

i.e. 2K + 12L ≥ 87 (1)

Again, 1.5K + 8L is the number of square feet of paper that she used which is greater than 63 sq. feet

i.e. 1.5K + 8L > 63 (2)

Hence, inequalities (1) and (2) are the required answer. (Answer)

1) 2K + 12L ≥ 87

2) 1.5K + 8L > 63

Step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.