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lisov135 [29]
2 years ago
11

The sum of 3 consecutive integers is 27 less than the least of the integers..

Mathematics
1 answer:
zysi [14]2 years ago
5 0

Answer:  -13, -15

Step-by-step explanation:

If x is the smallest integer, then:

x + (x + 1) + (x + 2) = x - 27

3x + 3 = x - 27

2x = -30

x = -15

Integers: -15, -14, -13

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The body of a person who weighs 50 kilograms contains around 2 × 102 grams of sodium chloride. How much sodium chloride is conta
kondaur [170]

The mass of sodium chloride required for 1. 8 × 10^3 people is 3. 6 × 10^5 grams. Option A is the correct answer.

<h3>How do you calculate the mass of sodium chloride required?</h3>

Given that weigh of the person is 50 KG. The mass of the sodium chloride in one person is given below.

1 \;\rm Person = 2\times 10^2\;\rm g

The mass of sodium chloride is calculated as given below.

1.8\times 10^3 \;\rm Person = 2\times 10^2 \times 1.8\times 10^3

1.8\times 10^3 \;\rm Person = 3.6\times 10^5\;\rm g

Hence we can conclude that the mass of sodium chloride required for 1. 8 × 10^3 people is 3. 6 × 10^5 grams. Option A is the correct answer.

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2 years ago
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3 years ago
Quadrilateral JKLM is a rhombus. The diagonals intersect at N. If the measure of angle KJL is 2x + 5° and angle MJN = 3x – 8 fin
Oksana_A [137]

Answer:

The measure of angle KLM is 62°

Step-by-step explanation:

* Lets revise the properties of the rhombus

- The rhombus has 4 equal sides in length

- Every two opposite angles are equal in measure

- The two diagonals bisect each other

- The two diagonals perpendicular to each other

- The two diagonals bisect the vertices angles

* Lets solve the problem

∵ JKLM is a rhombus

∴ m∠MJK = m∠KLM ⇒ opposite angles in the rhombus

∵ JL and KM are diagonals in the rhombus and intersect each

   other at N

∴ JL bisects ∠MJK

∴ m∠KJL = m∠MJN

∵ m∠KJL = (2x + 5)°

∵ m∠MJN = (3x - 8)°

∴ 2x + 5 = 3x - 8 ⇒ subtract 2x from both sides

∴ 5 = x - 8 ⇒ add 8 to both sides

∴ 13 = x

∴ The value of x = 13

∵ m∠KJL = (2x + 5)° ⇒ substitute the value of x

∴ m∠KJL = 2(13) + 5 = 26 + 5 = 31°

∵ m∠KJL = 1/2 m∠MJK

∴ m∠MJK = 2 m∠KJL

∴ m∠ MJK = 2 × 31° = 62°

∵ m∠MJK = m∠KLM ⇒ opposite angles in the rhombus

∴ m∠KLM = 62°

5 0
3 years ago
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