If AD = 6, DC = 14, and BE = 4.75, calculate EC. Image not set to scale.

Mathematics

2 answers:

MAXImum [283]3 years ago

8 0

Answer:

$\Large \boxed{11.08}$

Step-by-step explanation:

The triangles are congruent, we can use ratios to solve.

AD/DC = BE/EC

Let the length of EC be x.

6/14 = 4.75/x

Solve for x.

Cross multiply.

6 × x = 14 × 4.75

6x = 66.5

Divide both sides by 6.

(6x)/6 = (66.5)/6

x = 11.083333...

egoroff_w [7]3 years ago

8 0

Greetings from Brasil...

Here we can use similarities of triangles

AC/DC = BC/EC

20/14 = (4.75 + X)/X

X ≅ 11.1

see attachment

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allochka39001 [22]

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2 years ago

From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides u

worty [1.4K]

Answer:

$\$15.60$

Step-by-step explanation:

Mr. Rand initially starts with 18 pounds of meat. After cutting steaks weighing pound 15 ounces, 3 and 1/8 pounds, and 4 and 1/2 pounds, he will have:

$18-1.9375-3.125-4.5=8.4375$ pounds of meat left (there are 16 ounces in a pound).

Since he sells patties that measure 9 ounces, convert 8.4375 pounds to ounces:

$8.4375\text{ lbs}\cdot 16\text{ oz/lb}=135\text{ oz}$

Because each patty is 9 ounces, he can make $\frac{135}{9}=15$ patties. He sells 3 of them for $3.12, meaning the price per patty is $\frac{\$ 3.12}{3}=\$1.04$ .