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3 years ago

Step 3: Let LM = x. We know the lengths of the radii of each circle, so KL = 12 +

Mathematics

1 answer:

kow [346]3 years ago

3 0

Answer:

Step-by-step explanation:

Step 3:

Let LM = x

OK = KP = 12 units [Radii of circle K]

LN = LP = 8 units [Radii of circle L]

Therefore, KL = KP + PL

KL = 12 + 8

= 20 units

Step 4:

Since, ΔKOM and ΔLNM are the similar triangles,

By the property of two similar triangles, corresponding sides of these similar triangles will be proportional.

$\frac{OK}{NL}=\frac{KM}{LM}$

$\frac{12}{8}=\frac{x+20}{x}$

12x = 8(x + 20) [By cross multiplication]

12x = 8x + 160

12x - 8x = 160

4x = 160

x = 40

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Read 2 more answers

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.

Aleksandr [31]

Answer:

c ≥ 56 is the REQUIRED INEQUALITY.

Step-by-step explanation:

Here, the given question is INCOMPLETE.

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.

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3 years ago

{-210, -156, -366,-471, -108,-627, -579}

Andru [333]

Option D I and IV only is correct option

Step-by-step explanation:

We need to identify that the numbers {-210, -156, -366,-471, -108,-627, -579} belong to which of the following set of numbers.

I. Rational Numbers

II. Natural Numbers

III. Whole Numbers

IV. Integers

We will consider each option

Rational numbers: numbers that can be written by dividing two integers. They can be positive or negative.

all the numbers given can be divided by 1 to make them fractions. So all numbers are rational numbers.

Natural numbers: numbers that are positive integers excluding 0 i.e 1,2,3...

So, the given numbers are not natural numbers

Whole numbers: all natural numbers including 0. These are positive numbers. So, the given numbers are not whole numbers

Integers: it is a whole number (not fraction) that can be positive,negative or zero. So, the numbers given are integers.

So, Option D I and IV only is correct option

Keywords: Set of numbers

Learn more about set of numbers at:

#learnwithBrainly

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