James is given the diagram below and asked to prove that ZD ZF. What
would be the missing step of the proof?
Given: DE = FE, and Eo forms the angle bisector of ZDEF.
Prove: ZD ZF
E
D
o
Reasons
Given
Statements
1. DEFE, EO forms the angle
bisctor of ZDEF
2.
3. EO EO
4. ADEO AFEO
5. ZD ZF
Definition of an angle bisector
Reflexive Property of Equality
SAS Congruency Theorem
Corresponding parts of congruent
triangles are congruent
O A. ZEDO ZEDO
O B. ZEDO: ZEFO
O C. ZDEO = ZFEO
O D. ZEOF ZEOD

If g(x) = 1/(3x²), the by the definition of the derivative, we have

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{g(x+h) - g(x)}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac1{3(x+h)^2} - \frac1{3x^2}}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac{x^2}{3x^2(x+h)^2} - \frac{(x+h)^2}{3x^2(x+h)^2}}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - (x+h)^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - x^2 - 2xh - h^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2xh + h^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2x + h}{3x^2(x+h)^2}[/tex]

[tex]\displaystyle g'(x) = - \frac{2x}{3x^4} = \boxed{-\frac2{3x^3}}[/tex]

Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day

Answer:

73

Step-by-step explanation:

(7.7 * 2) + (9.6 * 6) = 74

Answer:

40 customers

Step-by-step explanation:

40% brown,

25% black

20% blonde

15% red

100% = 160

(40* 160)/ 100

6400 / 100 = 64

40% = 64 customers

(15 * 160)/100

2400/100 = 24

15% = 24 customers

64 customers - 24 customers =40 customers.

Answer:

1. Blue = 8 votes

2. Green = 4 votes

3. Yellow = 6 votes

4. Red = 2 votes the first 2 votes one

5. Pink = 2 votes the second one that says 2 votes.

Step-by-step explanation:

okay I understand this.

You just use the colors from above and fill them in in order.

Answer:

1.blue has got 8 number of votes

2.yellow has got 4 number of votes

3.green has got 6 number of votes

4.red has got 2 number of votes

and the last one is written there

Explanation:

I hope it helps

Answer:

x = 63

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

Applying the Angle Sum of Quadrilaterals,

Answer:

C
You have to use radius not the diameter

Answer:

a=3 d=1 b and c cant be solved

Step-by-step explanation:

because segment AB is parallel to x axis . So the slope of ABco is 0. So the y value is congruent

a=3 d=1

We know AB=CO b+2=8-C

we can only find ad, but we could not get b,c

Answer:  33 is your answer my love.

Step-by-step explanation: Hope this helps.

Answer:

33 give the guy above me branliest

Step-by-step explanation:

I assume you mean the equation

√(2x) = x - 4

Take the square of both sides. Note that √(2x) is a non-negative number, so any solution we find must also satisfy x - 4 ≥ 0, or x ≥ 4.

(√(2x))² = (x - 4)²

2x = x² - 8x + 16

x² - 10x + 16 = 0

(x - 8) (x - 2) = 0

x - 8 = 0   or   x - 2 = 0

x = 8   or   x = 2

If x = 2, then x ≥ 4 is false. The only solution is then x = 8.

One morning the temperature in Bangor, Maine was 18 degrees. By afternoon, it had dropped 20 degrees. The afternoon temperature in Bangor, Maine, was -2 degrees.

To find the afternoon temperature, we need to subtract 20 degrees from the morning temperature of 18 degrees.

Afternoon temperature = Morning temperature - Temperature drop

Afternoon temperature = 18 degrees - 20 degrees

To perform the subtraction, we have to handle negative numbers:

Afternoon temperature = 18 degrees - 20 degrees

Afternoon temperature = -2 degrees

So, the afternoon temperature in Bangor, Maine, was -2 degrees.

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Answer:

[tex]9 > x > - 4[/tex]

9 is greater than x and -4 is less than x

Answer:

- 4 < x < 9

Step-by-step explanation:

given 9 is greater than x then x is less than 9 and - 4 < x , so

- 4 < x < 9

The formula of the quadratic function passing through the points (-2,0), (8,0) and (2, -24) is f(x) = x² - 6x - 16

The points are given as:

(-2,0) , (8,0) and (2, -24)

The points (-2,0) and (8,0) are the zeros of the function.

So, we have:

f(x) = a(x + 2)(x -8)

Substitute (2, -24) in the above equation

-24 = a(2 + 2)(2 -8)

Evaluate the sum and the difference

-24 = a(4)(-6)

Divide both sides by -24

a = 1

Substitute a = 1 in f(x) = a(x + 2)(x -8)

f(x) = (x + 2)(x -8)

Expand

f(x) = x² + 2x - 8x - 16

Evaluate the like terms

f(x) = x² - 6x - 16

Hence, the formula of the quadratic function is f(x) = x² - 6x - 16

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Answer:

x-30+x+50=180(being co interior angle)

2x+20=180

2x=180-20

x=160/2

x=80

putting the value of x in x-30

80-30=50

again

y+50=180(being co interior angle)

y=180-50

y=130

Step-by-step explanation:

hope this will help you

They are same side ineterior so supplementary

Again

Answer:

Step-by-step explanation:

Answer:

The proportion defined by the null hypothesis.

Step-by-step explanation:

Answer:

After 9 years mother's age will be 3 times more than kofi's age .

Step-by-step explanation:

Given

Age of Kofi = 8 years

Age of Mother = 42 years

According to question , 3 times more than kofi's age .

=> ( 8+ x ) 3 = 42 + x

=> 24 + 3x = 42 + x

=> 3x - x = 42 - 24

=> 2x = 18

=> x = 18/2

=> 9

After 9 years ,

The measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In the image attached below:

The measure of the angle A is,

[tex]m\angle A=71^o[/tex]

The measure of the angle C in a semicircle is,

[tex]m\angle C=90^o[/tex]

The sum of all the angle(interior) of a triangle is equal to the 180 degrees. Thus,

[tex]\angle A+\angle B+\angle C=180\\90+\angle B+71=180\\\angle B=180-90-71\\\angle B=19^o[/tex]

Thus, the measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

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Answer:

1%

Step-by-step explanation:

Money spent by the stationer :

Money earned (after donation and sales) :

Here, the money spent is more than the money earned. Hence, we have to find the loss percentage.

The loss percentage is 1%

The recursive formula is; 1.02(an-1 + 15) a1=200 based on the question.

The term recursive formula can be used to describe the derivation of a term in a sequence based on the previous term.

Given the information in the question, the recursive formula is; 1.02(an-1 + 15) a1=200.

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The length of the fence which needs to be put around the pool will be 26 feet.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

You are the manager of the town pool.

You need to build a fence around the new children's pool area.

The pool is 5 feet wide by 8 feet long.

You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side.

Then the length of the fence which needs to be put around the pool will be

P = 2 (5 + 8)

P = 2 x 13

P = 26 ft

Then the length of the fence which needs to be put around the pool will be 26 feet.

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Answer:

a = 25 m²

b = 5 m

c = 7.94 m

d = 35.73 m²

Code:    H I A B

Step-by-step explanation:

Formulae

Pythagoras’ Theorem:    [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Area of a square = x²  (where x is the side length)

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

Assuming that all the quadrilaterals are squares.

Side length of blue square with area 16 m² = √16 = 4 m

Side length of yellow square with area 9 m² = √9 = 3 m

Use Pythagoras' Theorem to find the length of b:

[tex]\implies 4^2+3^2=b^2[/tex]

[tex]\implies b^2=25[/tex]

[tex]\implies b=\sqrt{25}[/tex]

[tex]\implies b=5\: \sf m[/tex]

Now we have found length b, we can find area a:

[tex]\textsf{Area a}=b^2=5^2=25\: \sf m^2[/tex]

Side length of purple square with area 144 m² = √144 = 12 m

Side length of green square with area 81 m² = √81 = 9 m

Use Pythagoras' Theorem to find the length of c:

[tex]\implies 9^2+c^2=12^2[/tex]

[tex]\implies c^2=63[/tex]

[tex]\implies c=\sqrt{63}[/tex]

[tex]\implies c=3\sqrt{7}[/tex]

[tex]\implies c=7.94\: \textsf{(nearest hundredth)}[/tex]

Now we have found length d, we can find area d:

[tex]\textsf{Area d}=\dfrac{1}{2}(9)(7.94)=35.73\: \sf m^2[/tex]

Code:    H I A B

Find b

#a

Area

H

#b

Done already

#c

A

#d

B

Code is

Answer:

22<x

Step-by-step explanation:

52-3x<-14

66<3x

(we divide both sides to 3)

22<x

The average number of skateboards produced per day last year is 310.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

The standard deviation of skateboards produced was 20 skateboards. They found they produced up to 280 skateboards on 93.32% of the days last year.

Z- score at 93.32% is -1.5

We know:

[tex]\rm Z = \dfrac{(x - \mu)}{\sigma}[/tex]

[tex]\rm -1.5 = \dfrac{(280 - \mu)}{20}[/tex]

μ = 280 + 30

μ = 310

Thus, the average number of skateboards produced per day last year is 310.

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