Simplify the expression -2(-3m + 10)
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Answer:

  x = 36°

Step-by-step explanation:

Where a transversal crosses parallel lines, any obtuse angle it creates is supplementary to any acute angle it creates:

  3x +2x = 180°

  5x = 180° . . . . . . . . . collect terms

  x = 180°/5 = 36° . . . . . divide by 5

Answer:

supplementary angles

Step-by-step explanation:

they are on the same line, so they sum up to 180°

Answer:

36

Step-by-step explanation:

By the Fundamental Counting Principle, if there are x ways to choose one thing, y ways to choose another thing, and z ways to choose another thing, then there are x*y*z possible combinations of all of those things.

Here, there are 3 ways to choose a shift, 4 ways to choose a pair of pants, and 3 ways to choose a tie. Therefore, there are 3*4*3 = 36 different outfits that Gerald can make that include one shirt, pair of pants, and tie.

The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex].

A sinusoidal function is represented by following model:

[tex]y = 0.5\cdot (y_{min}+y_{max}) + 0.5\cdot (y_{max}-y_{min})\cdot \sin (2\pi\cdot f\cdot t)[/tex] (1)

Where:

If we know that [tex]y_{min} = 85[/tex], [tex]y_{max} = 121[/tex] and [tex]f = 73[/tex], then the sinusoidal formula for blood pressure is:

[tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex] (2)

The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex]. [tex]\blacksquare[/tex]

To learn more on sinusoidal functions, we kindly invite to check this verified question: https://brainly.com/question/12078395

Answer:

A)

Step-by-step explanation:

|3.7| = 3.7

Answer:

A:

1. x=6

2. x=4

3. x=2

4. x=1

5. x=-3

B: -2, -3, -4

Step-by-step explanation:

Answer:

a = -3 and b=5

Step-by-step explanation:

Given that 10 can be written as 2*5 or √2*√2*5, and √18 can be written as √(2*9) or √2*√9 or 3√2, you can write the fraction as:

[tex]\frac{5\cdot\sqrt2\cdot\sqrt2-3\sqrt2}{\sqrt2}[/tex]

So getting rid of the √2 factor, you get 5√2 - 3, so a=-3 and b=5

Answer:

12

Step-by-step explanation:

The top and bottom of both sides are equal to eachother. So 5 times 12 equals 60 and subtract the 2 off to get 58.

Have a good day!

Answer:

6

Step-by-step explanation:

you divide 200 people by 34 people per bus and get 5.88 (6)

Answer: 6 is correct! thax

USACanada

Step-by-step explanation:

Answer:

31° , 62° , 113° , 154°

Step-by-step explanation:

sum the 4 angles and equate to 360

y + 2y + 3y + 20 + 4y + 30 = 360 , that is

10y + 50 = 360 ( subtract 50 from both sides )

10y = 310 ( divide both sides by 10 )

y = 31

2y = 2(31) = 62

3y + 20 = 3(31) + 20 = 93 + 20 = 113

4y + 30 = 4(31) + 30 = 124 + 30 = 154

the 4 angles are 31° , 62° , 113° , 154°

5/6 = 10/12

1/2 = 2/3

3/5 = 6/10

Hope this helped.

Answer:

Step-by-step explanation:

it looks like  an isosceles triangle, 2 equal side and 2 equal angles (F&E)

the sum of the interior angles in a triangle is 180°, and FH is 180°.

180 - 120 = 60° (angle G)

now we know that it is an equilateral triangle, so Y and 2x are 60°

(3 * 60 = 180°)

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

or

180 - 60 = 120

120 : 2 = 60°

An exterior angle is equal to the sum of the two opposite inside angles:

x = 133 - 118 = 15 degrees

Answer: x = 15

Answer:

15 because 133=x-118 I hope it helps

Answer:

38 or 36 if there's options

Step-by-step explanation:

cos0 = √3/2

1 - cos²0 = sin²0

= 1/4 = sin²0

sin in quadrant 4 is negative

sin0 = -1/2

Answer:

600,000 times greater

Step-by-step explanation:

hope this helped and good luck :}

Answer: 1000 times greater

Step-by-step explanation: the 6 in 618,923 has a value of 600,000 where as in 27,657 it only has a value of 600

Look at where the six positioned, in the tens column, hundreds column or thousands column?

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

First, we combine like terms.

2-x = x-4

Next we move the variables to one side and the numbers to another

2x = 6

We divide by 2.

x = 3

Answer: 334

Step-by-step explanation:

Cut the polygon into 2 pieces

Find the area of each rectangle and some it

7*10 = 70

24*(21-10) = 264

264 + 70 = 334

Answer:

334 ft²

Step-by-step explanation:

split the polygon into two

Area of A = 21 ft × 7 ft = 147 ft²

Area of B = (21 ft - 10 ft) × (24 ft - 7 ft)

Area of B = 11 ft × 17 ft = 187 ft²

Area of polygon = sum of Areas of A and B

147 ft² + 187 ft² = 334 ft²

Answer: After 1 year:    $5,610

After 2 years: $5,722.20

Step-by-step explanation: Use the formula for periodic compounding interest, which is

A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.

Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,

t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)

Plug the known values in to solve...

For 1 year...

A = 5,500(1 + 0.02/1)^(1*1)

  A = 5,500(1.02)^1

     A = 5,610

For 2 years...

A = 5,500(1 + 0.02/1)^(1*2)

  A = 5,500(1.02)²

     A = 5,722.20

Answer:

  False

Step-by-step explanation:

In order for the inverse of a relation to be a function, it must pass the horizontal line test. That is, a horizontal line cannot intersect the graph in more than one place. Here, the x-axis intersects the graph of G(x) in 3 places, so the inverse of G(x) is not a function.

Step-by-step explanation:

the number line : a potentially infinite horizontal line.

it shows all numbers, with 0 in the center, eher we are looking at it. the negative numbers go to the left of 0, with -1, -2, -3, ... going from right to left.

the positive numbers go to the right of 0, with 1, 2, 3 going from left to right.

point S = -14

and the distance to a point R (RS) is 10.

now, on such a line we can always go in 2 directions : left and right.

our starting point is S (-14).

going 10 units to the right (positive direction) we get to -4.

as -14 + 10 = -4

going 10 units to the left (negative direction) we get to -24.

as -14 - 10 = -24

so, R can be at -4 or -24.

Answer:

Step-by-step explanation:

Part 3 :

We simply expand the brackets

(a+b)² = (a+b)(a+b)

(a+b)(a+b) = a²+ab+ab+b²  = a²+2ab+b²

This is part 3 done

Part 4:

We simply expand 3 brackets now:

(2x-1)³ = (2x-1)(2x-1)(2x-1)

We do the first 2 brackets first:

(2x-1)(2x-1) = 4x²-2x-2x+1 = 4x²-4x+1

Now we multiply this by the last bracket:

(4x²-4x+1)(2x-1) = 8x³ -4x²-8x² +4x+2x -1  = 8x³-12x²+6x-1

This is part 4 done

Hope this helped and brainliest please

Answer:

x = 7, y = 8

Step-by-step explanation:

Knowing y = 8, we can substitute into equation and solve:

8 = x + 1

- 1       - 1

7 = x

Y is given, X is solved. Therefore:

x = 7, y = 8

Answer:

$42.90

Step-by-step explanation:

You do 21.45 x 2, or you can add 21.45+ 21.45

This is because it was only two people, Kayla and her best friend.

The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Mean refers to the average of the observation and deviation means the variation from the present standard.

Given

Robin’s scores: 99, 108, 102, 107, 119

Mean = 107

MAD = 5.2

Evelyn’s scores: 125, 137, 138, 145, 145

Mean = 138

MAD = 5.6

The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

More about the mean and the mean absolute deviation link is given below.

https://brainly.com/question/10258446

The number of three-point tries is 36.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The first step is to determine the total number of tries and baskets: (27 X 7)/3 = 63

Number of three-point tries = (4/7) x 63 = 36

To learn more about ratios, please check: https://brainly.com/question/25927869

Answer:

$1,000 interest

Step-by-step explanation:

turn 5% to 0.5

multiply 8,000 times 0.50

Answer:

I believe the answer is 12.1km/per hour

Answer:

Step-by-step explanation:

If you know what 10% of 45 is and want to find 30%, you just multiply it by 3 since 10 * 3 = 30