Write an expression that is equivalent to 21h- 10h + 16 - 9 + 14h + 5

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

Reasons:

[tex]\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC[/tex] Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴  m∠EDA = 0.5 × 180° = 90°

2. [tex]m\widehat{BC}[/tex] = 42°, therefore, m∠BPC = 42°

[tex]\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC[/tex]

m∠BDC = 0.5 × 42° = 21°

3. m∠BEC = m∠BDC = 21°

4. [tex]m\widehat{AB}[/tex] = 180° - (58° + 42°) = 80°

5. [tex]\mathbf{m\widehat{AB}}[/tex] = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = 40°

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × [tex]m\widehat{EA}[/tex]

m∠ECA = 0.5 × 58° = 29°

m∠ECA =  29°

7. m∠BAC = 0.5 × [tex]\mathbf{m\widehat{BC}}[/tex]

m∠BAC = 0.5 × 42° = 21°

m∠BAC = 21°

8. [tex]m\widehat{ED}[/tex]  = 180° - [tex]\mathbf{m\widehat{CD}}[/tex]

[tex]m\widehat{ED}[/tex]  = 180° - 90° = 90°

[tex]\mathbf{m\widehat{ED}}[/tex]  =  90°

9. m∠ECD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠ECD = 0.5 × 90° = 45°

10. m∠ACB = 0.5 × [tex]m\widehat{AB}[/tex]

m∠ACB = 0.5 × 80° = 40°

11. m∠EBD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠EBD = 0.5 × 90° = 45°

12. m∠ADB = 0.5 × [tex]\mathbf{m\widehat{AB}}[/tex]

m∠ADB = 0.5 × 80° = 40°

13. m∠CAD = 0.5 × [tex]\mathbf{m\widehat{CD}}[/tex]

m∠CAD = 0.5 × 90° = 45°

14. m∠EAB = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EAB = 0.5 × 180° = 90°

15. m∠EBC = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EBC = 0.5 × 180° = 90°

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Answer:

277.825327

Step-by-step explanation:

Thx!

Answer:

Triangles QST and RST are similar.  Therefore, the following is true:

q       s

--- = ----   This results in 10q=rs.

r      10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.

Since QST is also a right triangle, s^2 + 10^2 = r^2.  

           4      s

Also:  ---- = -----    which leads to s^2 = 40

           s      10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)

Answer: $3550 or letter: I

Step-by-step explanation: 35*100= $3,500 + $50 (tax)= $3,550 or in your case it is closest to letter i

Step-by-step explanation:

2⋅13⋅(3−9)−1⋅25(10−15)=⋅3−3⋅3−3(−3)−3

\frac{2 \cdot 1}{3} \cdot (3x-9y)-1 \cdot \frac{2}{5}(10x-15y)=a \cdot 3y-3xb \cdot 3x-3yc(-3)x-3y

Answer:

30

Step-by-step explanation:

15x30 = 450

Answer:

She purchased 30 shirts.

Step-by-step explanation:

She paid only $400 Dollars, because she got a discount of $50.

So the total before getting the discount was $450.

If you divide $450 by $15 (the price for 1 shirt) you come up with 30.

450/15 = 30

Step-by-step explanation:

such a scale factor applies to all sides and lines.

we see that DE is 12 units, and AB is 4 units.

so,

12×f = 4

f = 4/12 = 1/3 is the scale factor

control : check the other side

FE = 6 units

6 × 1/3 = 2

so, the corresponding side in the small triangle must be 2 units long.

and indeed, CB is 2 units long. all correct.

According to the table, f(x) = 9 when x = -5. So if g(x) is the inverse of f(x), it follows that g(9) = -5.

By the inverse function theorem,

[tex]g'(9) = \dfrac1{f'(g(9))} = \dfrac1{f'(-5)} = \boxed{-\dfrac14}[/tex]

Answer:

x equals 6:

5x=30

x=30/5

x= 6

Answer:

x=6

Step-by-step explanation:

to help you understand whatever you do on one side you do on the other so

in this case to find x we need to divide x by 5 and if we divide x by 5 we also

need to divide 30 by 5

∵5x=30

∵5x÷5=30÷5

∵x=6

Answer:

I couldn't understand what you actually mean. But, I -think you are trying to ask what is the meaning of Knowledge.

HERE - (definition of knowledge)

facts, information, and skills acquired by a person through experience or education; the theoretical or practical understanding of a subject.

Answer:

x=(-79/12) or -6 7/12

Step-by-step explanation:

12x+91=12

     -91   -91

12x=-79

(12x/12)=(-79/12)

x=(-79/12) or -6 7/12

Answer:

[tex]9x+6[/tex]

Step-by-step explanation:

[tex]\left(3x+2\right)+2\left(3x+2\right)[/tex]

[tex]x+2+2\left(3x+2\right)[/tex]

[tex]3x+2+6x+4[/tex]

[tex]9x+6[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

Answer:

−5.8+d>43/4

Step-by-step explanation:

The inequality represents the situation as −5.8+d>434.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given that Elizabeth lives on a straight road that goes east and west. She starts from a point 5.8 miles west of her home and drives a certain distance to the store. The store is more than 434 miles east of her home.

The inequality will be written as the algebraic sum of the distance d and 5.8 is greater than the 434 miles.

Inequality: -5.8 > 434

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Answer:

parallel

y= -5x + 19

perpendicular

y= (1/5)x + 17/5

Step-by-step explanation:

yeah-ya......... right?

Answer:

Step-by-step explanation:

25*40/100 = 10

Answer: 10

Step-by-step explanation:25*0.4=10

Answer:

since m=7 and v=32

p= 7• 32

p= 224

The height of a box that has a base area of 36 sq. in. and a volume of 108 cubic inches is: 3 inches.

Recall:

The formula for the volume of a box = base area × height

Given the following dimensions:

base area of box = 36 sq. in.

Volume = 108 cubic inches.

Required: height of the box

Plug in the given values into the formula for the volume of a box

108 = 36 × height

Divide both sides by 36

height = 108/36

height = 3 inches

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Answer:

it equals 11 haha !

Step-by-step explanation:

have a great day/night :)

Answer:

2

Step-by-step explanation:

1 + 1 = 2

This is because one digit (1) is being added to another one digit (1), giving the answer of two digits, or 2.

Answer:

1,3

Step-by-step explanation:

If a coordinate point is at (4, 2) and is translated down 3 units and right 1 unit, what is its new coordinate point?

4-3=1

2+1=3

(1,3)

Answer: (-1,5)

Step-by-step explanation:

Answer:

A - Exponential

Step-by-step explanation:

Exponential is the best fitting model because there's a $500 raise in salary each year, so $500 is added to the salary of the previous year.

Answer:

Axis interception points of -52 :

Y intercepts : (0,-52 )

Answer: The value will increase by one as B increases by one or so on

Step-by-step explanation:

Answer:

It increases

Step-by-step explanation:

x = -0.365 (If its x(2)=-0.73)

How I solved it:

x^2=-0.73

-0.73÷2=-0.365

//

-0.365×2=-0.73

Therefore, the answer is -0.365.

Answer:

x = -1.46 (if its x/2=-0.73)

x/2=-0.73

-0.73x2=-1.46

therefore,

-1.46/2=-0.73

///

making the answer

-1.46

Answer:

n = -5

Step-by-step explanation:

-6(-5n+3)+2=-166

distribute the -6

- 6 * -5n = 30n

-6 * 3 = - 18

30n - 18 + 2 = -166

combine like terms

30n - 16 = -166

add 16 to both sides

30n = -150

divide both sides by 30

30n/30=n

-150/30=-5

we're left with n = -5

Step-by-step explanation:

-8 - 6x < 1

Bringing like terms on one side

-6x < 1 + 8

-6x < 9

x < 9/-6

x < 3/-2

I think the correct answer is none

Answer:

The slope is steeper and the line is shifted flatter.

Step-by-step explanation:

I have provided a graph to help illustrate the relationship between these two lines, (The red line is line A which is y = 2x + 4, and the blue line is line B which is y = 4x + 9).

As you can see, the slope does determine the steepness of the lines. This means that line A's slope is going up 2 units and over to the right 1 unit, whereas line B's slope is going up 4 units and to the right 1.

Therefore, if line A is to transform into line B, then its slope will be steeper.

Hope this helps you :)

Also, P.S. I don't know if there are supposed to be more options, so I apologize if flatter does not belong in the second box.

Answer:

Step-by-step explanation:

Answer:

f(x) = (2/3)x-2

Step-by-step explanation:

Pick any two points and calculate the slope.  I chose:  (-3,-4) and (3,0).  The Rise/Run, or slope, is (0-(-4))/(3-(-3) or 4/6:  2/3

The y-intercept of the graph is -2 ( the value of y when x=0).

Given y = mx + b

we have

y = (2/3)x - 2

Option 3

Answer: Score on a science test, D, Average temperature

Step-by-step explanation:

A: Score on a science test(dependent variables are the "effects" of the independent variable, and number of hour studied results in the score on the science test)

B: D (the input will always remain the same but the output is dependent on the independent variable, so in this case the input is the independent variable)

C:Average temperature( the temperature depends on how far it is from the equator, thus making it the dependent variable in this relationship)

Hope it helps!

:)