I'm confused on how to do this question

I'm Confused On How To Do This Question

Answers

Answer 1

Answer:

CE = 35

Step-by-step explanation:

Based on the Triangle Proportionality Theorem, BD divides AC and CE proportionally. This implies that:

BC:AB = DC:DE

Plug in the values

(x - 5)/6 = 14/(2x + 3)

(x - 5)(2x + 3) = 14*6

x(2x + 3) -5(2x + 3) = 84

2x² + 3x - 10x - 15 = 84

2x² - 7x - 15 - 84 = 0

2x² - 7x - 99 = 0

Factorize

2x² - 18x + 11x - 99 = 0

2x(x - 9) +11(x - 9) = 0

(2x + 11)(x - 9) = 0

2x = -11

x = -11/2

Or

x = 9

Let's take the positive value of x

Thus:

CE = 14 + 2x + 3

Plug in the value of x

CE = 14 + 2(9) + 3

CE = 14 + 18 + 3

CE = 35


Related Questions

50 POINTS !!


PLEASE HELP

EXPLAIN HOW YOU GOT IT !!!!

ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

What is the volume of the rectangular prism?

Type the answer in the boxes below.


Answers

Answer:

15 cm^3

Step-by-step explanation:

I think it's 15 because if you count, there are 30 boxes. Each box has a volume of 1/2, so you are supposed to multiply, which means 1/2x30.

1/2x30=15

I hope it's right!

Volume is a three-dimensional scalar quantity. The volume of the rectangular prism is 3.75 cm³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The dimension of the rectangular prism in terms of small cubes is,

Length = 5 cubesWidth = 2 cubesHeight = 3 cubes

Therefore, the number of cubes that made rectangular prism are,

Number of cubes = 5 × 2 × 3 = 30 cubes.

As the length of a side of the cube is 0.5 cm, therefore, the volume of a single cube is,

Volume of a single cube = a³ = (0.5cm)³ = 0.125cm³

Since the volume of each cube is 0.125cm³, therefore, the volume of the rectangular prism will be,

Volume of prism = 30 × 0.125 = 3.75 cm³

Hence, the volume of the rectangular prism is 3.75 cm³.

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Find the measure of angle NXO. The measure of angle MXO is 110*​

Answers

Answer:

60º

Step-by-step explanation:

NXO = MXO - MXN

NXO = 110 - 50

NXO = 60

If a circle has an area of 144 sq. cm, what will be its area if the radius is reduced to one third?

Answers

Answer:

Step-by-step explanation:

1/3; 33.33 or 0.33

How to solve Solve 3!

Answers

Answer:

by solving 3

Step-by-step explanation:

1. It is a four-digit whole number.
2. Each of its digits is even.
3. Each of its digits is different.
4. The sum of its one digit and its hundreds digit is 10.
5. The sum of its tens digit and its thousand digit is 10.
6. It is greater than 7000.
7. It is divisible by 4.
8. The numeral O is not one of its digits.
9. It is divisible by 8.
10. Its hundreds digit is 6.

Answers

Answer:

8624

Step-by-step explanation:

let's write four blanks to represent the number _ _ _ _

by rule #10 we can fill in one digit

_ 6 _ _

using rule 4 we can wee that the ones digit is 4

_ 6 _ 4

We know that the thousand's digit has to be an even number greater than 7 (which leaves 8 only)

8 6 _ 4

using rule 5 we can see that the tens digit is 2

get get

8624

find the equation of the straight line which has a gradient of 3 and passes through the point (-1, 3)

Answers

Answer:

y=3x+6

Step-by-step explanation: 3=3(-1)+b

                                             3=-3+b

                                             +3  +3

                                              6=b

The problem solving is on the image, 6th grade

Answers

So when you are using ratios you can simplify them, just like fractions. So when you simplify 15:330 you can divide both numbers by 15 and get 1:22. So this means for every teacher there are 22 students. So you should multiply 23 by 22 to get answer B, you need to divide 550 by 22 to get answer c, and you need to multiply 36 by 22 to get answer D. Could you mark branliest? Let me know if I helped!

X-7;x=23. I NEED help

Answers

Answer:

x-7=16

Step-by-step explanation:

if x=23 substitute it in the equation

so; 23-7=?

23-7=16

your answer would be 16

Answer:

my dad never returned home

What is 7/8 - 6/7 can anybody tell me

Answers

Answer:

0.01785714285

Step-by-step explanation:

You can round it to 0.18 or something but yeah

Answer:

0.01785714286 or 1/56

Step-by-step explanation:

Turn both into a decimal and then subtract. Turn the answer into a fraction, 1/56.

How many one-millimeter cubes do you need to fill a cube that has an edge length of 1 centimeter?

Answers

Answer:

10 one-millimeter cubes

Good luck on your quiz homework etc

Source of answer: https://bigideasmathanswer.com/big-ideas-math-answers-grade-6-chapter-7/

Find the sum or difference. -3(h-4) -2(-6h + 5)

Answers

Answer:

sum = -15h+2

Step-by-step explanation:

Find the equation that has a slope of -1/8 and passes through the point (0,-4)
A. Y= 1/8x
B. Y=1/4x-4
C. Y=-1/8x-4

Answers

Answer:

Option C

Step-by-step explanation:

Given :-

The slope of the line is -1/8The line passes through (0,-4) .

And we need to find out the equation of the line .We are here given slope and a point . So we can use the slope point form of the line. As ,

[tex]:\sf\implies m ( x - x_1)= y - y_1 \\\\\sf:\implies \dfrac{-1}{8}(x -0)= y - (-4) \\\\\sf:\implies \dfrac{-x}{8}= y +4 \\\\\sf:\implies \boxed{ \sf\red{y = \dfrac{-x}{8}-4}}[/tex]

Hence the option C is correct.

An airplane ascended at a rate of
2,000 feet per minute. What is the
altitude of the plane after 15 minutes

Answers

Answer:

the altitude of the plane is 30,000 after 15 minutes

Step-by-step explanation:

since the plane goes up 2,000 ft per minute I multiplied 2,000 by 15(the minutes) and got 30,000

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327. A random sample of 10 recent graduates from the small college was selected and the mean and standard deviation of the salary for those graduates was found. With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?
(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.
(B) There is convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(C) There is not convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327
(D) There is not convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(E) There is not convincing statistical evidence that the graduates from this college will always eam more than $45,327.

Answers

Answer:

(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.

Step-by-step explanation:

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327.

At the null hypothesis, we test if the mean salary is the expected salary of $45,327, that is:

[tex]H_0: \mu = 45327[/tex]

At the alternate hypothesis, we test if the salary is greater than the expected salary of $45,327, that is:

[tex]H_1: \mu > 45327[/tex]

With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?

The p-value of the test if 0.045 < 0.05, which means that there is sufficient evidence to accept the alternate hypothesis, that is, to conclude that the mean salary for all recent college graduates from the small college is greater than $45,327.

This means that the correct answer is given by option A.

6 cm = ______ mm *
50 mm = ______ cm
100 mm=_______cm
20 mm = ______ cm
5kg = ______ g *
800g = _____kg *
6000mg = ______kg *
2lit = _____ml *
75ml = ____lit *
82km = ____m ​

Answers

6 cm =60mm
50 mm =5cm
100mm =10 cm
20mm = 2cm
5kg=5000g
800g= 0.8 kg
6000mg =0.006 kg
2 lit = 2000ml
75 ml =0.075 lit
82km =82,000 m

Answer:

6 cm = __6*10=60____ mm *

50 mm = _[tex] \frac{50}{10} [/tex]__=5___ cm

100 mm=__[tex] \frac{100}{10} [/tex]=10____cm

20 mm = __[tex] \frac{20}{10} [/tex]_=2_____ cm

5kg = _5*1000=5000_____ g *

800g = ____[tex] \frac{800}{1000} [/tex]=0.8___kg

6000mg = ___[tex] \frac{6000}{1000000} [/tex]=0.006___kg *

2lit = _2*1000=2000_ml *

75ml = __[tex] \frac{75}{1000} [/tex]=0.075_lit *

82km = 82*1000=82000__m

Consider the function f(x) = 2x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? A. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 2. B. The graph of g(x) is the graph of f(x) shifted up by a factor of 2. C. The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2. D. The graph of g(x) is the graph of f(x) shifted to the right by a factor of 2.

Answers

Answer:

. C. The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.

g(x)=x² is the function of g(x).

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Graph of g(x) is the graph of f(x) compressed vertically by a factor of 1/4

Graph of g(x) is the graph of f(x) shifted down 4 units

Graph of g(x) is a graph of f(x) shifted up 4 units

Graph of g(x) is a graph of f(x) stretched vertically by a factor of 4

g(x) = 4·f(x) = 4x²

Graph of g(x) is a graph of f(x) stretched vertically by a factor of 4

Graph of g(x) is a graph of f(x) compressed vertically by a factor of 1/4

=> g(x) = (1/4)f(x)  = x²/4

Graph of g(x) is a graph of f(x) shifted down 4 units

=> g(x) = f(x) - 4

Graph of g(x) is the graph of f(x) shifted up 4 units

=> g(x) = f(x) + 4

Graph of g(x) is a graph of f(x) stretched vertically by a factor of 4

=>  g(x) = 4·f(x) = 4x²

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On Monday nights, Papa's Pizza offers a special two-for-one deal on its medium two topping
pizzas All pizzas come with sauce and cheese. The customer can choose any 2 of Papa's 30
toppings to complete the order. How many different possible pizzas are there, assuming the
customer must choose exactly two different toppings?

Answers

Answer: 300

Step-by-step explanation:

The total number of different large pizzas is 870

How many different combinations are there?

First, we need to identify the selections, and then the number of options for each of these selections.

Here we have two selections:

First topping.Second topping.

Such that the options are:

First topping: 30 options.Second topping: 29 options (because one was already selected and we can't repeat).

The total number of combinations is given by the product between the numbers of options, we will have:

C = 30*29 = 870

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nelda needs a wrench to fix her bike a 5/8 inch wrench was too big a 1/4 inch wrench what's the small which of the following would be bigger than 1/4 Inch wrench in smaller than the 5/8 inch wrench

Answers

Answer: 1/2

Step-by-step explanation:

I need help with this please​

Answers

Answer:

[tex]v=150~m^3[/tex]

Step-by-step explanation:

[tex]l=10[/tex]

[tex]w=5[/tex]

[tex]h=3[/tex]

[tex]volume=l*w*h[/tex]

[tex]10*5*3=[/tex][tex]150~m^3[/tex]-----------------------hope it helps...have a great day!!
Given :

The dimensions of the Rectangular prism are :

10 mi

5 mi

3 miSolution :

[tex] \large \boxed {\mathrm{volume = l \times b \times h}}[/tex]

[tex]10 \times 5 \times 3[/tex]

[tex] \mathrm{150 \: mi {}^{3} }[/tex]

___________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

A shuttle service transports passengers from the airport to local hotels. The vans used have room for up to 6 passengers. Data collected over several years indicate that the number of passengers per trip to the hotels follow the following probabilities.

Passengers: 1 2 3 4 5 6
Probability: 0.20 0.25 0.22 0.13 0.10 0.10

Required:
A van leaves the airport for the local hotels. What is the probability there are at least 4 passengers on board?

Answers

Answer:

Probability = 0.33

Step-by-step explanation:

Passengers:  1      2       3       4       5       6

Probability: 0.20  0.25  0.22  0.13  0.10  0.10

Let No. of passengers = x ; So probability of at least 4 passengers

Prob (x > 4) = Prob (x = 4) + Prob (x = 5) + Prob (x = 6)

= 0.13 + 0.10 + 0.10

= 0.33

PLZZZ HELP!!! Brainliest to whoever can help!!! T^T

Answers

Answer:

I think it B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

h=2x^2

b=5x^2+4x

we know that

area of triangle (A)=1/2×b×h

=1/2×2x^2×(5x^2+4x)

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

=5x^4+4x^3 square units


Carmen is painting a rectangular wall that is 9 feet long and 14 feet wide. What is the area that Carmen will paint?
o
A 23 square feet
B. 46 square feet
o
C. 63 square feet
D. 126 square feet
PLEASE HELP

Answers

D !! Have a great day love

find the area of this figure

Answers

Answer:

164

Step-by-step explanation:

5×8×2=80

7×12=84

84+80=164

The perimeter of a rectangular field is 332 yards. If the length of the field is 92 yd what is the width?

Answers

Answer:

The width of the rectangular field is equal to 74 yards.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Geometry

Perimeter Formula [Rectangle]:
[tex]\displaystyle P = 2l + 2w[/tex]

l is lengthw is width

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = 332 yds

l = 92 yds

Step 2: Find Width

[Perimeter Formula - Rectangle] Substitute in variables:
[tex]\displaystyle 332 \ \text{yds} = 2(92 \ \text{yds}) + 2w[/tex]Simplify:
[tex]\displaystyle 2w + 184 \ \text{yds} = 332 \ \text{yds}[/tex][Subtraction Property of Equality] Subtract 184 on both sides:
[tex]\displaystyle 2w = 148 \ \text{yds}[/tex][Division Property of Equality] Divide both sides by 2:
[tex]\displaystyle w = \boxed{ 74 \ \text{yds} }[/tex]

∴ the width of the field is equal to 74 yards.

___

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___

Topic: Geometry

A number is multiplied by 4, That result is added to 12. The final number is 40.
What is the original number.
A. 2
B. 7
C.13
D.22

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is 7

A student measures the air pressure inside her bicycle tires before and after she goes on a long bicycle ride. What will she most likely observe?

Answers

Answer:

She will see that the pressure went up, not down!

Step-by-step explanation:

1. In a closed system, The volume inside the tire shouldn't change much (the losses will be small)

2. For a closed system, the Pressure inside a bicycle tire will increase with the increase of its Temperature

3. In a long bicycle ride, the constant friction of the tire to the ground will heat up the air inside the tire, thus increasing the pressure inside the tire

Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?
HELP!

Answers

Answer:

9

Step-by-step explanation:

The GCF between 54 and 27 is nine.

When you add the tree together which is 54+27 you’ll get 81

The greatest common factor of 81 is 9

So 9 times 9 =81

The best answer would be 9 rows with 9 trees in each row

A ball as a radius of 18cm. What is the approximate volume of the ball?

Answers

Answer:

what I got was 24438.9cm³

Where do the parabola defined by y=-x^2+4x+1 and the line defined by y=-x+5 intersect?

Answers

Where do the parabola defined the same thing A
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