Lines k and I are parallel and the measure of angle ABC is 22 degrees. Find the measure of the other angles.

What is the measure of angle DCE?
Α. 158
B. 73
C. 124
D. 22

Answer:

x = 0

Step-by-step explanation:

I. When x cant be negative value and

II. Find possible positive value

       If x = 0

           |0-2| > [tex]\sqrt{0}[/tex]

           |-2| > 0

           2 > 0 true

      If x = 1

           |1 - 2| > [tex]\sqrt{1}[/tex]

           | -1 | > 1

          1 > 1 false

More question or something to discuss, leave comment below

Answer:

Step-by-step explanation:

x ≥ 0 (because the square root)

[tex]|x-2| > \sqrt{x}\\\\1)\ if \ x-2 >0 \ (\ or\ x > 2):\\|x-2|=x-2\\\\x-2 > \sqrt(x) \Longrightarrow\ (x-2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x >4 \ (since\ x>2)\\\\[/tex]

[tex]2)\ if\ x-2 <0 \ (\ or\ x < 2):\\|x-2|=-(x-2)=-x+2\\\\-x+2 > \sqrt(x) \Longrightarrow\ (-x+2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x\geq 0\ and \ x\leq 1 \\[/tex]

Sol= [0, 1] ∪ ]4,+∞) ***** corrected

Answer:

that's sooooooo trued to me

Answer:

Step-by-step explanation:

Answer:

c. -2 + 34i

Step-by-step explanation:

(2 + 6i)(5 + 2i)

c. -2 + 34i

Answer:

640 feet

Step-by-step explanation:

8 = 320  

16 = 640

Answer:

640

Step-by-step explanation:

8:320

16: ?

8*2=16

320*2=640

Answer:

Inverse operations are operations that are opposite or “undo” each other. For example, addition undoes subtraction and division undoes multiplication.

Step-by-step explanation:

Answer:

78%

Step-by-step explanation:

.94 + .78 + .62 = 2.34

2.34/3 = .78

.78 = 78%

Jeremy's weighted average is 83.6%

The grades and the weights of the grades can be represented using the following table

Subject     Final Grade   Average

Test              50%              94%

Quiz             35%               78%

Homework   15%               62%

The weighted average (w) is the sum of the product of the final grades and the average.

So, we have:

[tex]w = \sum Final\ Grade \times Avearge[/tex]

This gives

[tex]w = 50\% \times 94\% + 35\% \times 78\% + 15\% \times 62\%[/tex]

Evaluate the products

[tex]w = 47\% + 27.3\% + 9.3\%[/tex]

Evaluate the sums

[tex]w = 83.6\%[/tex]

Hence, the weighted average is 83.6%

Read more about weighted average at:

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Answer:

(x) =x2+4x

x=6x+x

=6x

Step-by-step explanation:

right answer is 6x

Answer:

x=5 and 3

Step-by-step explanation:

x^2-8x+21=6

x^2-8x+21+16=6+16

(x-4)^2=1

(x-4)=±1, x=5 and 3

........................

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

Step-by-step explanation:

let's simply do the multiplications and then compare with the original.

(x-m)² + n

right ?

or is it

[tex] {(x - m)}^{2 + n} [/tex]

let's go for the first.

x² - 2mx + m² + n = x² - 3x

-2mx + m² + n = -3x

fun there we see two things :

-2m = -3

m = 3/2

and

m² + n = 0

(3/2)² = -n

9/4 = -n

n = -9/4

so our transformed expression looks like

(x - 3/2)² - 9/4

Answer:

Step-by-step explanation:

The number of Bins in the first row is 16 higher than in the second row.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given first and second rows are:-

Bin A 15 bin B 12 bin C 13

Bin D 9 binE 7 bin F 8

The total number of the bins first row = Bin A + bin B + bin C

The total number of the bins first row = 15 + 12 + 13 = 40

The total number of the bins in the second row = Bin D + Bin E + Bin F

The total number of bins in the second row = 9 + 7 + 8 = 24

Therefore, the number of Bins in the first row is 16 higher than in the second row.

To know more about an expression follow

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Answer:

A

Step-by-step explanation:

Answer:

Answer: A. √500

Step-by-step explanation:

[tex]10 \sqrt{5} \\ = (\sqrt{ {10}^{2} } ) \times ( \sqrt{5} ) \\ = \sqrt{100} \times \sqrt{5} \\ = \sqrt{500} [/tex]

Answer:

16 ounces equals one pound or two cups. Another way to look at the equivalent is that one cup weighs eight ounces and therefore two cups equal 16 ounces and this is the same weight of one pound--16 ounces.

Step-by-step explanation:

Step-by-step explanation:

1st.

(7x+2×2-6x-4) - (2x+3×2-3x+11)

(7x+4-6x-4)-(2x+6-3x+11)

collect like terms

(7x-6x-4+4)-(2x-3x+11+6)

(x+0)-(-x+17)

multiply - by the bracket

x+0+x-17

collect like terms

x+x+0-17

2x-17=0

2x=17

divide both sides by the coefficient of x

2x/2=17/2

x=17/2

Hi :)

Rounded to the tenth place value.

16 to 20

Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. The place value to which 16.932 was rounded is 17.

Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. Usually, decimal numbers and fractions are rounded to the nearest whole number with the help of the appropriate rules.

To round 16.932 to the nearest whole number consider the tenths’ value of 16.932, which is 9 and equal or more than 5. Therefore, we have to round up the whole number part of 16.932, 16, increases by 1 to 17, and the decimal point and all digits (.932) are removed.

16.932 rounded to the nearest whole number = 17

Therefore, The table ahead contains starting numbers close to 16.932 rounded to the nearest basic counting number.

Hence, the place value to which 16.932 was rounded is 17.

Learn more about Rounding off Number here:

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Answer:

[tex]17 > 5 - \frac{4}{3} x \\ 17 - 5 > - \frac{4}{3} x \\ 12 > - \frac{4}{3}x \\ \frac{3 \times 12}{4} > - x \\ 9 > - x \\ multily \: by - 1then \: > \: become \: < \\ - 9 < x \\ thank \: you[/tex]

Answer:

42.395

Step-by-step explanation:

The thousandths place is the 3 number to the ride of the decimal. We will need to look at the 4th decimal place to round. Remember these rules when rounding:

Now that we know what to do, we can round accordingly.

42.3952 → 42.395

Best of Luck!

Step-by-step explanation:

1 7/8 ÷ 3/4 = 15/8 ÷ 3/4

= 15/8 × 4/3

= 45/24 × 32/24

= 1440/24

= 60

Answer:

-2.5 or 5/2

Step-by-step explanation:

-1 ⅞ ÷¾

=-15/8×4/3

=-60/24= -5/2 or -2.5

Answer: 6000

Step-by-step explanation:

1 square meter = Rs.500

500x12

= 6000

12 square meters = Rs.6000

9514 1404 393

Answer:

  0.574305 radians

Step-by-step explanation:

The tangent ratio is defined as ...

  Tan = Opposite/Adjacent

  tan(θ) = 11/17

  θ = arctan(11/17) ≈ 0.574305 radians

_____

Make sure your calculator is in Radians mode.

Answer:

6x

Step-by-step explanation:

because in front of x^3 there is 6x and also the qn has asked to find the coefficient of x^3

Answer:

It is 6

Step-by-step explanation:

take an example:

[tex]a {x}^{3} + {bx}^{2} + cx + d[/tex]

a, b, and c are coefficients of x³, x², and x respectively.

d is a constant.

Answer:

608/3

Step-by-step explanation:

I got it correct

Answer:

Area of circle = πr^2

Area of circle when diameter is 2x; r=x

=πx^2

Answer:

100015

Step-by-step explanation:

it to a little to find it but it is true. I started at 100000 and went up by 1 until I found my answer.

Answer:

-1

Step-by-step explanation:

Subtract the numbers: y+5-y-6

Combine like terms: y-1-y

= -1

Answer:

A)   [tex]\frac{3}{8}[/tex], [tex]\frac{2}{5}[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{7}{10}[/tex]

B) 2.53, 32.51, 514.37

Step-by-step explanation:

A)   Multiply all of them to equal 80

1/2 = 40/80  (1 x 40)  (2 x 40)

2/5 = 32/80  (2 x 16)  (5 x 16)

3/8 = 30/80  (3 x 10)   (8 x 10)

7/10 = 56/80  (7 x 8)  (10 x 8)

B) Decimals are easy  1.10 < 1.20 since one is still greater than the other.

Answer:

10  mins

Step-by-step explanation:

This is a fraction equal to

25 minutes ÷ 2.5 4.5

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

25 minutes ÷ 2.5

2.5 4.5 ÷ 2.5

=

10 minutes

1 4.5

=

10 minutes

4.5

= 10 minutes per 4.5