The values of x and y are 15 and 7 respectively
The angles formed from the intersection of two lines at X are equal and vertically opposite angles.
From the figure shown, we can conclude that:
2(5x-5) = 6x + 50 (vertically opposite angle)
Expand
10x - 10 = 6x + 50
10x - 6x = 50 + 10
4x = 60
x = 60/4
x =15
Similarly;
5y + 5 = 7y - 9
Collect the like terms;
5y - 7y = -9 - 5
-2y = -14
y = 14/2
y = 7
Hence the values of x and y are 15 and 7 respectively
Learn more here: brainly.com/question/15198257
Answer:
x = – ⅓
Step-by-step explanation:
The solution to the expression can be obtained as follow:
–3.1x + 7 – 7.4x = 1.5x – 6(x – 3/2)
Clear bracket
–3.1x + 7 – 7.4x = 1.5x – 6x + 9
–3.1x – 7.4x + 7 = –4.5x + 9
–10.5x + 7 = –4.5x + 9
Collect like terms
–10.5x + 4.5x = 9 – 7
–6x = 2
Divide both side by –6
x = 2 / –6
x = – ⅓
Thus, the solution to the equation is –⅓
PART A:
Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.
0.000025 = 2.5×10⁻⁵
PART B:
Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵)
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger
PART C:
The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer
PART D:
Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter
PART E:
Laws of exponents that are applied in scientific notation is
xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾
Answer:
L = 15
Step-by-step explanation:
P = 2L + 2W
you know that P = 50, W=10
So you have to replace those values on the equation
50 = 2L + 2*(10) --> Replace P and W
50 = 2L + 20 --> Multiply and now you are going to separate the unknown and the constants.
Remember that if you send a constant to the other side of the equal the sign will change to its opposite
50 - 20 = 2L --> Solve the constants
30 = 2L --> Now for the L, you have to leave it alone, so the 2 that is multiplying you have to send it to the other side of the equal but with the opposite operation, the opposite operation of multiplying is dividing, so you have:
30/2 = L
L= 15
Answer:
36
Step-by-step explanation:
The number in the first column is multiplied by 6 to get the number in the second column. 6 times 6 = 36.
I'm extremely sorry if it's wrong.
