Answer:
y = 94
Step-by-step explanation:
Linear Pair:
The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180
2x + 36 = 180 {linear pair}
2x = 180 - 36
2x = 144
<h3> 2x = 144°</h3>
Sum of all angles of a n-sided polygon = (n-2)*180
= ( 6-2)*180
= 4 * 180
= 720
y + 144 + 111 + 105 + 165 + 101 = 720
y + 626 = 720
y = 720 - 626
Answer:
21
Step-by-step explanation:
4 12
---- = -----
7 g
Using cross products
4g = 7*12
4g = 84
Divide each side by 4
4g/4 = 84/4
g = 21
Answer: 58.11 cm³
Step-by-step explanation:
1. The volume can be calculated with the following formula:
Where <em>l</em> is the lenght, <em>w</em> is the width and <em>h</em> is the heigth of the smartphone.
2. You know that the dimensions are:
3. Convert the height and the width from inches to centimeters, as following:
4. Convert milimeters to centimeters:
4. Then, the volume is:
The solution of the system of equations is (6 , -7)
Step-by-step explanation:
There are two method to solve the system of equations
- Elimination method: we make the coefficients of one variable in the two equations have same values and different signs, then we add the two equations to eliminate this variable and have an equation of other variable, we solve it to find the other variable, then substitute the value of this variable in one of the two equations to find the first variable
- Substitution method: We use one of the two equations to find one variable in terms of the other, then substitute it in the second equation to have an equation of the other variable, we solve it to find the other variable, then substitute the value of this variable in the equation of the first variable
Let us use the elimination method with your problem
∵ 3x + 2y = 4 ⇒ (1)
∵ 3x + 6y = -24 ⇒ (2)
- Multiply equation (1) by -1 to eliminate x ⇒ to make the coefficients of x in the two equations have same values and different signs
∵ -3x - 2y = -4 ⇒ (3)
- Add equations (2) and (3)
∴ 4y = -28
- Divide both sides by 4
∴ y = -7
Substitute value of y in equations (1) OR (2) to find x
∵ 3x + 2(-7) = 4
∴ 3x - 14 = 4
- Add 14 for both sides
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
The solution of the system of equations is (6 , -7)
<em>I hope this explanation help you</em>
Learn more:
You can learn more about the system of linear equations in brainly.com/question/6075514
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