Segment EC bisects segment AD at C. Find the value of “x," AD = 6x - 4 and AC = 4x - 3, and the measure of CD.

Answers

Answer 1

Answer: The value of x=1.

Measure of CD =1 unit.

Step-by-step explanation:

Given: Segment EC bisects segment AD at C.

That means , EC divided AD into two equal parts AC and CD,

i.e. [tex]AC=\dfrac{AD}{2}[/tex]  

Also it is given that [tex]AD = 6x - 4[/tex] and [tex]AC = 4x - 3.[/tex]

then, we have

[tex]4x-3=\dfrac{6x-4}{2}\\\\\Rightarrow\ 4x-3= 3x-2\\\\\Rightarrow\ 4x-3x=-2+3\\\\\Rightarrow\ x= 1[/tex]

So, the value of x=1.

Now,  CD = AC = 4(1)-3 =4-3 =1 unit.

Hence, Measure of CD =1 unit.


Related Questions

Match the measureable quantity given by its formula with the appropriate unit(s).
BERE
speed = distance/time
meters per second
perimeter = 2 (length) + 2 (width)
square meters
area = (length)(width)
meters
volume = (length)(width)(height)
1
cubic centimeters

Answers

Answer:

The answers are in the picture I got it correct as you can see.

The digit in the unit’s place of the cube of 47 is: a) 9 b) 7 c) 3 d) 1

Answers

Answer:

The correct option is;

c) 3

Step-by-step explanation:

In place value, the digits of a large number are grouped in threes with the values arranged from left to right for example from left to right, e can have;

...billion...million...thousands...ones

For the international system, the place value chart can be written as follows;

Millions [tex]{}[/tex]                              Thousands                           Ones

Hundred

HM [tex]{}[/tex]    TM [tex]{}[/tex] M           HT      TT       U                        H      T        U

Where;

HM = Hundred million

TM = Ten million

M  = Million

HT = Hundred Thousand

TT  = Ten Thousand

T =Thousand

HT = Hundred

TT  = Ten

T or U =Ones or units

The cube of 47 is given as follows;

47³ = 103823

Therefore, the digit in the unit place of the cube of 47 is given as follows;

Millions [tex]{}[/tex]                              Thousands                           Ones

Hundred

HM [tex]{}[/tex]    TM [tex]{}[/tex] M           HT      TT       U                        H      T        U

                                  1          0       3                         8       2       3                  

The digit in the unit place of the cube of 47 is 3

The length of segment EF is 12 cm. Triangle D E F is shown. Angle E D F is 90 degrees, angle D E F is 30 degrees, and angle E F D is 60 degrees. The length of hypotenuse E F is 12 centimeters. Which statements regarding triangle DEF are correct? Select three options.

Answers

Answer:

EF is the longest side of △DEF.

DF = 6 cm

DE = 6√ 3 cm

Step-by-step explanation:

got it right edg 2021 :)

Answer:

Measure of angle E = 55

Length of EF = 12.49

Step-by-step explanation:

I got it right

Evaluate 9-b when b=8

Answers

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex]9 - b = 9 - 8 = 1[/tex]

Hope this helps ;)❤❤❤

What is 36/81
in simplest form? HELP!

Answers

Answer:

4/9

Step-by-step explanation:

To simplify this fraction, we can find the factors for each number and then take an equal amount out (divide).

Two factors that make up 36 are 4 and 9. Two factors that make up 81 are 9 and 9. Therefore, because 9 is a common factor between the two, we can divide both terms by 9 and simplify the fraction.

36/9 = 4

81/9 = 9

The new fraction is 4/9.

! HELPPP ITS RLLY DUD IN 1 HOURRR HELP MEE PLEASESESS !!! A S A PPP!!!!!!

Answers

Answer:

combining 2x and 4x to make 6x

Step-by-step explanation:

Simplify both sides of the following equation as much as possible, and then solve:
10 – 11w + 12w = -2

Answers

Answer:

w = -12

Step-by-step explanation:

10 – 11w + 12w = -2

Combine like terms

10 +w = -2

Subtract 10 from each side

10+w-10 = -2-10

w = -12

Answer:

w = -12

Step-by-step explanation:

10 – 11w + 12w = -2

10 + w = -2

subtract 10 on both sides

w = -12

The results of a recent survey of the students at Rockdale Middle School show that 17 out of every 22 students enjoy the cafeteria’s cheeseburgers, "5" /"6" of the students enjoy the cafeteria’s pizza, and 80.5% enjoy the cafeteria’s salad bar. Based upon this survey, which of these three foods is most enjoyed?

Answers

Answer:

Pizza is the most enjoyed food with 83.3%

Step-by-step explanation:

Given

Cheeseburgers = 17 out of 22 students

Pizza = 5/6

Salad Bar = 80.5%

Required

Which of the food is most enjoyed

First, we have to convert all goven parameters to percentage

[tex]Cheeseburgers = \frac{17}{22}[/tex]

[tex]Cheeseburgers = 77.3\%[/tex]

[tex]Pizza = \frac{5}{6}[/tex]

[tex]Pizza = 83.3\%[/tex]

Comparing the percentages;

Pizza is the most enjoyed food with 83.3%

. If a car can travel 38 miles on 2.4 gallons of gas, how many miles could the car travel on 6 gallons of gas?


I forgot how to do this
so if you could also explain with your answer please​

Answers

Answer:

About 95 miles

Step-by-step explanation:

Let's set up a proportion using the following set up:

miles / gallons = miles / gallons

We know the car can travel 38 miles on 2.4 gallons of gas.

38 miles / 2.4 gallons = miles/ gallons

We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.

38 miles / 2.4 gallons = x miles /6 gallons

38/2.4=x/6

We want to find x (miles for 6 gallons). Therefore, we must isolate x.

x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.

6*(38/2.4)=(x/6)*6

6*(38/2.4)=x

6*15.8333333=x

94.9999998=x

Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.

95 ≈x

x ≈95 miles

The car can travel about 95 miles on 6 gallons of gas.

 Evaluate the expression if b=-8, c=-2 , d=3

Answers

Answer:

-8

Step-by-step explanation:

Lets plug in all the numbers.

(-2+3)-8

Lets break it down by opening the parenthesis

-2+3= 1

1x-8= -8

Hope this helps!

Answer: -8

Step-by-step explanation:

(c+d)b, if b=-8, c=-2, d=3

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

 (c+d)b

=[(-2)+(3)](-8) ⇔ substitute c, d, and b

=[-2+3]-8 ⇔ take off parentheses

=1 × -8 ⇔ simplify

=-8

Hope this helps!! :)

Please let me know if you have any question

Question
If one big rectangle represents "one whole", what fraction of area is shaded gold in the two rectangles?
Enter your answer as an improper fraction, NOT a mixed number.
Submit Question

Answers

Answer:

15/8

Step-by-step explanation:

one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.

You are required to find the fraction of the rectangle shaded gold in the two rectangles

The fraction that was shaded in the two triangles is 15/8

Each of the rectangles are divided into 8 equal parts

The first rectangle has 8 equal sections

The second rectangle also has 8 equal sections

out of the 8 equal sections in the first rectangle, 8 was shaded gold

Then, we have 8/8 shaded = 1 whole

out of the 8 equal sections in the second rectangle, 7 was shaded gold

Then, we have 7/8 shaded

Improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (down number)

Therefore, rectangle 1 + rectangle 2

= 8/8 + 7/8

= (8+7) / 8

= 15/8

https://brainly.com/question/17261936

what is 7 to to the power of 2

Answers

Answer:

Hey there!

7 to the power of two is 7 times 7 which is 49.

Hope this helps :)

Answer:

49

Step-by-step explanation:

7² = 7 * 7 = 49

Exponents are simply repeated multiplication so 7 to the power of 2 would be 7 multiplied 2 times or 7 * 7.

A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes. Which system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt. 9 = 0.5(x – y) 9 = 1.5(x + y) 9 = 1.5(x – y) 9 = 0.5(x + y) 0.5 = 9(x – y) 1.5 = 9(x + y) 1.5 = 9(x – y) 0.5 = 9(x + y)

Answers

Answer:

This might help u........

Answer:Option B

(B)  9 = 1.5(x – y)

     9 = 0.5(x + y)

Step-by-step explanation:

What is the prime factorzation of 54

Answers

Answer:

2*3*3*3

Step-by-step explanation:

Answer:

54 = 2×3^3

Step-by-step explanation:

Factor the following integer:

54

Hint: | Is 54 divisible by 2?

The last digit of 54 is 4, which means it is even. Therefore 54 is divisible by 2:

54 = 2 27:

54 = 2×27

Hint: | Now try to factor 27. Is 27 divisible by 2?

27 is not divisible by 2 since 27 is odd and 2 is even:

54 = 2×27 (27 is not divisible by 2)

Hint: | Is 27 divisible by 3?

The sum of the digits of 27 is 2 + 7 = 9, which is divisible by 3. This means 27 is divisible by 3:

27 = 3 9:

54 = 2×3×9 (9 is not divisible by 2 since 27 is not)

Hint: | Now try to factor 9. Is 9 divisible by 3?

9 = 3 3, which means 9 is divisible by 3:

9 = 3 3:

54 = 2×3×3×3 (3 is not divisible by 2 since 9 is not)

Hint: | Now try to factor 3. Is 3 prime?

No primes less than 3 divide into it. Therefore 3 is prime:

54 = 2×3×3×3

Hint: | Express 54 as a product of prime powers.

There is 1 copy of 2 and 3 copies of 3 in the product:

Answer: 54 = 2×3^3

what is the equation ? 8-6|a+7|=-28

Answers

Answer:

Hopefully correct:-

Step-by-step explanation:

8-6(a+7)=-28

2(a+7)=-28

(a+7)=-28-2

(a+7)=-30

a=-30-7

a=-37

A line passes through (10, 2), (30, 6), and (n, -5). What is the value of n?

Answers

Answer:

I think n is -25 but im not sure

Step-by-step explanation:

Name three different ways you can represent a group of equivalent ratios

Answers

Welllllllllllllllllllllllllllllllllllllll
You can write rations using words, a fraction, and also using a colon as shown below:

Ratio of sugar cookies to chocolate chip cookies

10 to 30

10/30 (fraction)

10:30 (colon)

At the candy store there are 420 gumdrops and 280 chocolate bars, for a total of 700 candies all together. What is the ratio of candies to chocolate bars? (

Answers

Answer:

5 : 2

Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers [tex]p[/tex] and [tex]q[/tex].

Then to find the ratio [tex]p:q[/tex] , we need to divide p by q and represent it in the simplest form [tex]\frac{a}{b}[/tex] such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

[tex]Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}[/tex]

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

[tex]\dfrac{70}{28}[/tex]

Now, let us divide the numerator and denominator by 14:

[tex]\dfrac{5}{2}[/tex]

So, the ratio is 5 : 2

What is the product of (2x-1) (x+5)?

Answers

Answer:

2x^2+9x-5

Step-by-step explanation:

Help meeeee plsssssssssssss

Answers

Answer:

Im pretty sure its 27

Step-by-step explanation:

3×3×3

(Oop i did it wrong lolll)

27 is the correct answer

Help me hurry!!!!!!!!

Answers

Answer:

A. b = [tex]\frac{2V}{ah}[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{2} abh\\V= \frac{abh}{2} \\\\2V = abh\\\\\frac{2V}{ah} = \frac{abh}{ah}\\\\\frac{2V}{ah} = b[/tex]

ab/cd=m/n solve for n

Answers

Answer:

n = cdm/ab

Step-by-step explanation:

Solving for n:

ab/cd=m/nabn = cdm                      ⇒ cross- multiplicationn = cdm/ab                     ⇒ divide both sides by ab

Solve the following equation algebraically 2x ^ 2 = 50

Answers

Answer:

x=5

Step-by-step explanation:

[tex]2 {x}^{2} = 50[/tex]

[tex] {x}^{2} = \frac{50}{2} [/tex]

[tex] {x}^{2} = 25[/tex]

[tex]x = \sqrt{25} [/tex]

[tex]x = 5[/tex]

X + Y is equal to 5 x minus Y is equal to 4 find the value of find the value of x square minus y square ​

Answers

Answer: 20

Step-by-step explanation:

x+y=5

x-y=4

---------

x+y=5

x=4+y

--------

(4+y)+y=5

4+y+y=5

 4+2y=5

      2y=1

        y=0.5

        x=4.5

---------

x²-y²=(4.5)²-(0.5)²=20.25-0.25=20

1 cup of lemon-lime : 1 1/2 cups of punch
You don't have to tell me the answer, I just need to know how to find it.

Answers

Answer:

The answer is "0.666667".

Step-by-step explanation:

Given value:

[tex]1 \text{cup of lemon-lime} : 1 \frac{1}{2} \text{cups of punch}[/tex]

calculate value:

[tex]\to 1\ \text{cup of lemon-lime} : \frac{3}{2} \ \text{cups of punch}[/tex]

[tex]\to 1 \div \frac{3}{2}\\\\\to \frac{1} {\frac{3}{2}}\\\\\to \frac{1} {\frac{3}{2}}\\\\\to 1 \times \frac{2}{3}\\\\\to \frac{2}{3}\ \ \ \ Or \ \ \ \ 0.666667[/tex]

2y/(z-y)x=4y solve for x

Answers

Answer:

  x = 2(z -y)

Step-by-step explanation:

Multiply by the inverse of the coefficient of x.

  x = 4y(z -y)/2y

  x = 2(z -y) . . . . . . . . y ≠ 0

_____

The equation is meaningless if y = 0.

WILL MARK BRAINLYEST Circle the terms, underline the coefficients and put a box around each constant in the variable expressions below. 2b + 2ac + 5 34abx + 16y + 1 st + 4u + v 14xy + 6 14x + 12y 3 + 6 – 7 + a 4cd + 36 + 5gh 3v + UX + 7 75x + 45y + 35

Answers

Answer:

i can help tho

Step-by-step explanation:

a coefficent is a number next to a variable like 2b. a constant is a stand alone number like 5.

a rectangle has a length of 14 meters and a width of 200 centimeters. What is the area of the rectangle in meters?

Answers

Answer:

a=28m^2

Step-by-step explanation:

Given:

l=14m

w=200cm

Required

a=?

w in meters

Formula:

1m=100cm

b=200cm---criss cross it

b*100cm/100cm=1m*200cm/100cm

b=2m

a=l*w

a=14m*2m

a=28m^2

Last year there were 221 students and 13 teachers at Hillard School. This year there are 272 students. The principal wants to keep the same student-to-teacher ratio as last year. Which proportion can the principal use to find x, the number of teachers needed this year? StartFraction 272 over 221 EndFraction = StartFraction 13 over x EndFraction StartFraction 221 over 272 EndFraction = StartFraction x over 13 EndFraction StartFraction 221 over 13 EndFraction = StartFraction 272 over x EndFraction StartFraction 13 over 221 EndFraction = StartFraction 272 over x EndFraction

Answers

Answer:

see explanation

Step-by-step explanation:

Using proportion to find the teachers required x, then

[tex]\frac{221}{272}[/tex] = [tex]\frac{13}{x}[/tex] ( cross- multiply )

221x = 3536 ( divide both sides by 221 )

x = 16

The number of teachers required this year is 16

Answer:

For other people it is ON EDGE 2020

Step-by-step explanation:

C i reapeat it is C

f Tell whether the statement is true or false.
3) Let A = {6, 7, 8, 9, 10, 11), B = {8, 10, 12), C = {6, 7, 9, 11), D = {6, 11), and U = {6, 7, 8, 9, 10, 11, 12). ØD

A) True B) False​

Answers

Answer:

A true

Step-by-step explanation:

It is the correct answer i have read this

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