Answer:
The length of side x is 
Step-by-step explanation:
Pythagorean Theorem:
In a right triangle, with sides a and b, and hypothenuse h, we have that:
In this question:
The vertical line on the sides means that both are equal, that is, measuring x, so 
.
Hypothenuse is the square root of 12. So 
The length of side x is
1. 40/8 = 45/9
2. 42/14 = 15/5
3. 14/2 = 56/8
4. 8/4 = 26/13
The sets to which the number -√3 belongs are:
D: Rational numbers.
E: Real numbers.
<h3>To which sets the number belong?</h3>
Here we have the number:
-√3
Notice that 3 is a prime number, and the square root of 3 is then an irrational number.
If it is an irrational number, it also is a real number (Remember that the real set contains all the numbers that are either rational or irrational). And because it has a negative sign, it is a negative number.
Then the correct options are:
D: Rational numbers.
E: Real numbers.
Concluding, the sets to which the number -√3 belongs are:
D: Rational numbers.
E: Real numbers.
If you want to learn more about irrational numbers:
brainly.com/question/20400557
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The required angle m∠ADB of the nomadic tribal rug is 112°
Given, that in ΔAED and ΔBDC,
where, m∠AED = 34° and m∠EAD = 112°
To find m∠ADB
By using the angle sum property of a triangle, which states that the sum of interior angles of a triangle is 180°.
Therefore in ΔAED,
m∠AED + m∠EAD + m∠ADE = 180°
34° + 112° + m∠ADE = 180°
or, m∠ADE + 146° = 180°
or, m∠ADE = 34°
Similarly, m∠BDC = 34°
Now, by using the sum of linear pair of angles,
m∠ADE + m∠ADB + m∠BDC = 180°
34° + m∠ADB + 34° = 180°
m∠ADB + 68° = 180°
m∠ADB = 180°- 68°
m∠ADB = 112°
To learn more about linear pair of angles, visit: brainly.com/question/26555759?referrer=searchResults
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