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3 years ago

11x - 4 = 20 Solve for x

Mathematics

2 answers:

ZanzabumX [31]3 years ago

8 0

Answer:

x = $\frac{24}{11}$

Step-by-step explanation:

Given

11x - 4 = 20 ( add 4 to both sides )

11x = 24 ( divide both sides by 11 )

x = $\frac{24}{11}$

algol [13]3 years ago

6 0

Answer:

24/11 approx 2.181818

Step-by-step explanation:

11x -4 = 20

11x= 20 +4

11x = 24

x = 24/11 approx 2.1818181818182

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3 years ago

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What is the length of LJ?

Fofino [41]

Option D:

The length of LJ = 3.5

Solution:

In the triangle LJK,

LK = 9, ∠K = 23°, ∠J = 89°

To find the length of LJ:

Law of sine:

A, B, C are the angles of the triangle and

a, b, c are the sides of the triangle.

$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

Here for ΔLJK,

The side opposite to angle L is l.

The side opposite to angle J is j.

The side opposite to angle K is k.

$$\frac{l}{\sin L}=\frac{j}{\sin J}=\frac{k}{\sin K}$

Take only two sides.

$$\frac{9}{\sin 89^\circ}=\frac{LJ}{\sin 23^\circ}$

$$9\times \sin 23^\circ=LJ \times\sin 89^\circ$

$$9\times0.3907=LJ \times0.9998$

$$3.5163=LJ \times0.9998$

$$LJ=\frac{3.5163}{0.9998}$

$$LJ=3.51$

LJ = 3.5 (approximately)

Option D is the correct answer.

The length of LJ = 3.5.

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3 years ago