Hannah has a total of 500 beads and uses them to make necklaces and bracelets. she uses 25 beads per necklace and 18 beads per bracelet. which inequality represents the number of necklaces (n ) and bracelets (b ) hannah can make?

25n + 18b ≤ 500.

Step-by-step explanation:

Let, the number of necklace = n and the number of bracelets = b.

It is given that the Hannah uses 25 beads per necklace and 18 beads per bracelet.

So, the number of beads per 'n' necklaces is and the number of beads per 'b' bracelets is .

Since, the maximum number of beads can be 500.

We get the inequality,

25n + 18b ≤ 500.

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft