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Anon25 [30]
3 years ago
13

Pls help if your good at math marking brainliest

Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

Answer:

Step-by-step explanation:

6x-1=2x+5+4x-6

separate the variables in one side, numbers on the other side

6x-2x-4x=1+5-6

0=0

one solution

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Trapezium:

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Which of the following could be the ratio of the length of the longer leg of a 30-60-90 to the length of its hypotenuse? CHECK A
8_murik_8 [283]

Answer:

A. √3 : 2

D. 3√3 : 6

Step-by-step explanation:

In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°

The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit

The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units

From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side

This is to say if;

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The hypotenuse is twice the shorter leg= 2 units

The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg

=2^2-1^2\\\\=4-1=3\\\\\\b^2=3\\\\\\b=\sqrt{3}

where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;

a^2+b^2=c^2

<u>Hence the summary is</u>

a=shorter leg= 1 unit

b=longer leg = √3 units

c=hypotenuse=2 units

The ratio of longer leg to its hypotenuse is

=√3:2⇒ answer option A

This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A

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3 years ago
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Masteriza [31]

Answer:

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Step-by-step explanation:

from similar triangle:

350/400 = d/180

d = 350/400 * 180

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3 years ago
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