3(2x+2)=3x-15
mutiply the bracket by 3
(3)(2x)(3)(2)= 6x+6
6x+6= 3x-15
move 3x to the other side
sign changes from +3x to -3x
6x-3x+6= 3x-3x-15
6x-3x+6= -15
3x+6= -15
move +6 to the other side
sign changes from +6 to -6
3x+6-6= -15-6
3x= -21
divide by 3 for both sides
3x/3= -21/3
x= -7
Answer: x= -7
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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Answer:

Step-by-step explanation:

Divide both sides by R.

Switch sides.

Take the square root of both sides.

C because its value depend on the value of x
Answer:
$39
Step-by-step explanation:
First, let's get the values of each number by <u>rounding them off to the nearest dollar before adding them</u>.
- Remember that you have to <em>round off the number up</em> if it is being followed by a number<em> </em><u><em>equivalent to 5 and above.</em></u><em> </em>You have to <em>retain the number</em> if it is followed by a<u><em> number less than 5</em></u>.
1. $2.69 = $3
2. $14.45 = $14
3. $8.05 = $8
4. $13.95 = $14
Now that you have the rounded off numbers, you may add them.
Let's solve.
- $3 + $14 + $8 + $14 = $39
The estimated total is $39.