(question 31) if arc mBC =120 and arc mAD =50 whatis the measure of angle DYC

Answer:

120°

Step-by-step explanation:

The protractor shows that ∠AOE is 120°. If A started from the left, then it would be 60°.

Answer:

120

Step-by-step explanation:

Answer:

212

Step-by-step explanation:

[tex]3( {3}^{3}) +2 ( {10}^{2} ) - 15[/tex]

[tex]3(9) + 2(100) + 15[/tex]

[tex]27 + 200 - 15[/tex]

[tex]212[/tex]

Answer:

n=6

Step-by-step explanation:

(n-18)/3 = -4

multiply by 3

n-18 = -12

add 18

n = 6

Answer:

56

Step-by-step explanation:

show your work

Answer:

35rs of profit

Step-by-step explanation:

4*50=200rs- he spent

3*65+1*40=195+40=235rs- he got

235-200=35rs of profit

Answer:

-1.22

Step-by-step explanation:

Answer:

The answer is 200000 milligrams

Hope that helped you

Answer:

q is 4

Step-by-step explanation:

[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]

let gradient of the line joining (4, q) to (6, 5) be x

let gradient of the line joining (0, 0) to (4, q) be y

[tex]y = 2x[/tex]

therefore:

[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]

collect like terms:

[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]

Let,

As we know,

then,

→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]

      [tex]\frac{q}{4} = \frac{2(5-q)}{2}[/tex]

      [tex]\frac{q}{4} = 5-q[/tex]

By applying cross-multiplication, we get

      [tex]q = 4(5-q)[/tex]

      [tex]q = 20-4q[/tex]

By adding "4q" both sides, we get

[tex]q+4q= 20-4q+4q[/tex]

     [tex]5q = 20[/tex]

       [tex]q = \frac{20}{5}[/tex]

       [tex]q = 4[/tex]

Thus the above value is correct.

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Answer:

The above given statement is true

Step-by-step explanation:

Add all the data and divide by 2 to get your median

The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

The data set is given below.

17, 8, 23, 14, 15, 38.5, 8, 15.4

Arrange the data in ascending order, then we have

8, 8, 14, 15, 15, 15.4, 17, 23, 38.5

The number of the term will be 9, then the median will be

Median = (n + 1) / 2

Median = (9 + 1) / 2

Median = 10 / 2

Median = 5th term

5th term that is 15.

The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.

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According to the figure:-

We know that Sin∅=P/H

Hence Sinx°=13/25

[tex] { \sin}^{ - 1} \frac{25}{13} = X°[/tex]

Answer:

the slope is 5

and the intercept is 0

Step-by-step explanation:

Answer:

e^0=x^2-25=1

x^2=26

x=sqrt(26), pos and neg

The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is ln(x²-25)=0

x²-25>0

(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))

x>-5 and x>5

Now, e⁰=x²-25

1=x²-25

x²=26

x=±√26

Therefore, option C is the correct answer.

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Answer:

I think it's D.................

Answer:

see explanation

Step-by-step explanation:

(7)

(25x + 8) and (9x + 2) are adjacent angles and sum to 180° , then

25x + 8 + 9x + 2 = 180 , that is

34x + 10 = 180 ( subtract 10 from both sides )

34x = 170 ( divide both sides by 34 )

x = 5

Then

9x + 2 = 9(5) + 2 = 45 + 2 = 47

(7y + 5) and (9x + 2) are vertical angles and are congruent , so

7y + 5 = 47 ( subtract 5 from both sides )

7y = 42 ( divide both sides by 7 )

y = 6

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

(8)

(11x - 24) and (7x + 30) are vertical angles and are congruent, so

11x - 24 = 7x + 30 ( subtract 7x from both sides )

4x - 24 = 30 ( add 24 to both sides )

4x = 54 ( divide both sides by 4 )

x = 13.5

Similarly

(17y - 4) and (5y + 38) are vertical angles and congruent , then

17y - 4 = 5y + 38 ( subtract 5y from both sides )

12y - 4 = 38 ( add 4 to both sides )

12y = 42 ( divide both sides by 12 )

y = 3.5

13.54 g/mL = (100 g)/v

==>   v = (100 g)/(13.54 g/mL) = 7.39 mL

The volume of 100 grams of mercury is 7.38 mL when the density of mercury is 13.54 g/mL.

To calculate the volume of 100 grams of mercury, we can use the density formula:

Density = Mass / Volume

We are given the density of mercury as 13.54 g/mL, and we want to find the volume in mL.

Volume = Mass / Density

Substituting the given values:

Volume = 100 g / 13.54 g/mL

Simplifying the division:

Volume= 7.38 mL

Therefore, the volume of 100 grams of mercury is 7.38 mL.

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Answer:

A

Step-by-step explanation:

p^-8q^-20 * p^8q^-10

=q^-30

=1/q^30

Answer:

[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]

Answer:

\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}

=(4x+8)(2x−12)

=(8x

2

−48x+16x−96)

=(8x

2

−32x−96)

=8(x

2

−4x+12)

Answer:

This is called a bisector.

Answer:

-20

Step-by-step explanation:

Hi

The value of the expression is a decimal -17.33.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

0.3x = -5 - (-0.4 - (-0.6))

0.3x = -5 - (-0.4 + 0.6)

0.3x = -5 - 0.2

0.3x = -5.2

x = -5.2/0.3

x = -17.33

Thus,

The value of x is -17.33.

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Answer:

Step-by-step explanation:

x = first number

x + 2 = second number

x + 4 = third number

5(x + 2) = 6 + 2x + 2 ( x + 4)

5x + 10 = 6 + 2x + 2x +8

5x - 4x = 14 - 10

x = 4

The first number (x) = 4

The second number ( x + 2) = 4 + 2 = 6

The third number (x + 4) = 4 + 4 = 8

Answer:

2x + 2x +2 + 2x +4 = 6x +6 =Sum

5 * (2x +2) = 2 * (2x + 2x +4) +6

10x + 10 = 8x + 8 + 6

2x = 4

x = 2

So the numbers are:

2x or 4

2 x + 2 = 6

2x + 4 = 8

Double-Check

5 * 2nd integer = 30

2 *  (1st + 3rd integers) = 24

30 is 6 more than 24

Success!!!

Step-by-step explanation:

Answer:

hence the required midpoint of the given line is (9,5)

Answer:

[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]

The answer is :(4, 10)

Answer:

17

Step-by-step explanation:

Evaluate the 2 expressions by substituting x = 2 , y = 3 into them

3x² - 2y

= 3(2)² - 2(3)

= 3(4) - 6

= 12 - 6

= 6

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

3y² - 2x

= 3(3)² - 2(2)

= 3(9) - 4

= 27 - 4

= 23

Then 23 - 6 = 17

Answer:

Step-by-step explanation:

A variable