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lesya [120]
3 years ago
10

Find each missing measure

Mathematics
1 answer:
Stells [14]3 years ago
5 0

Answer: x=32 y=58 z=32

Step-by-step explanation:

For x, you just have to subtract 148 form 180.

For y, you just have to subtract 90 from 148.

For z, it is a vertical angle so it is equal to x.

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Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach. In how many differen
m_a_m_a [10]

Answer:

mc 7/8B

Step-by-step explanation:

check if that is your rsm link

5 0
3 years ago
Read 2 more answers
Solve the equation in the complex number system. x^2-12x+40=0
mylen [45]

solving the equation x^2-12x+40=0 we get x=6+2i\,\,and\,\,x=6-2i

Step-by-step explanation:

Solve the equation:

x^2-12x+40=0

We can solve using quadratic Formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a= 1, b = -12, c = 40

Putting values:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(40)}}{2(1)}\\x=\frac{12\pm\sqrt{144-160}}{2}\\x=\frac{12\pm\sqrt{-16}}{2}\\We\,\,know\,\,\sqrt{-1}=i\\ x=\frac{12\pm4i}{2}\\ x=\frac{12+4i}{2}\,\,and\,\, x=\frac{12-4i}{2}\\ x=\frac{4(3+i)}{2}\,\,and\,\, x=\frac{4(3-i)}{2}\\x=2(3+i)\,\,and\,\,x=2(3-i)\\x=6+2i\,\,and\,\,x=6-2i

So, solving the equation x^2-12x+40=0 we get x=6+2i\,\,and\,\,x=6-2i

Keywords: Solving quadratic equation

Learn more about Solving quadratic equation at:

  • brainly.com/question/1414350
  • brainly.com/question/1464739
  • brainly.com/question/7361044
  • brainly.com/question/1357167

#learnwithBrainly

5 0
3 years ago
Triangle RST, with vertices R(5,-9), S(9,-5), and T(7,-4), is drawn on the coordinate grid below.
kakasveta [241]

The area of the triangle with the coordinate of the vertice will be 6 square units.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle RST, with vertices R(5,-9), S(9,-5), and T(7,-4), is drawn on the coordinate grid below.

Then the area of the triangle will be

Area = 1/2 [(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]

Area = 1/2 [{5 x -5 + 9 x -4 + 7 x -9} - {-9 x 9 + -5 x 7 + -4 x 5}]

Area = 1/2 [{-124} - {-136}]

Area = 1/2 [ -124 + 136]

Area = 1/2 x 12

Area = 6 square units

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

7 0
2 years ago
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
Dovator [93]
PART A:

Scientific notation is given in the form of A*10^n
Where A is a value in unit and n is an integer

<span>0.000025 is not a unit number [the number before the decimal point is of zero value]

0.000025 = 2.5 </span>÷ 100,000

100,000 can be written as 10⁵

0.000025 = 2.5 ÷ 10⁵ ⇒ to write this in form of multiplication form, we change 10⁵ to 10⁻⁵

0.000025 = 2.5 × 10⁻⁵

-------------------------------------------------------------------------------------------------------------

PART B:
<span>
The diameter of a grain of sand </span>÷<span> the diameter of the average cell in the human body
= [2</span>×10⁻⁴] ÷ [1×10⁻⁵]  
= [2÷1] × [10⁻⁴×10⁻⁵]
= 2×10 ⁽⁻⁴ ⁻ ⁽⁻⁵⁾⁾ = 2 × 10¹
= 20
<span>
answer: 20 times bigger
--------------------------------------------------------------------------------------------------------------

PART C

Diameter of average cell in human body = 1 </span>× 10⁻⁵ meter
1 meter = 1 × 10⁹ nanometer

1 × 10⁻⁵ meter = [1 × 10⁻⁵] × [1 × 10⁹] = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ = 10000 nanometer
------------------------------------------------------------------------------------------------------------

PART D

1 meter = 1 × 10⁹ nanometer
300 nanometer = 300 ÷ [1 × 10⁹] = [3×10²] ÷ [1×10⁹] = [3÷1] × [10²÷10⁷] = 3 × 10⁻⁵

Answer: 3 × 10⁻⁵ meter

-------------------------------------------------------------------------------------------------------------

PART E

Laws of exponents that are used in scientific notation is 

x^m*x^n=x^{m+n}
\frac{x^m}{x^n}=x^{m-n}





3 0
3 years ago
Adrian, Ben and Charlie share some sweets in the ratio of 8:5:10.
VashaNatasha [74]

Answer:

252 candies

Step-by-step explanation:

Let A = 8x

Let B = 5x

Let C = 10x

10x = 8x + 24         Subtract 8x from both sides

10x - 8x = 24          Do the subtraction

2x = 24                   Divide by 2

2x/2 = 24/2            Do the division

x = 12

So Adrian has 8*12 = 96 candies.

Ben has 5 * 12 =         60 candies

Charli<u>e has 10*12 =    120 candies</u>

Total                      =  276 candies

5 0
4 years ago
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