DE bisects BC. If BC = 5x-3 and CE= 2x+25 find the value of x

Answers

Answer 1

Answer:

x = 53

Step-by-step explanation:

The entire line is BC, the line DE bisects the line BC, meaning it cut the line in half. So CE is half of BC, so the equation for CE has to be multiplied by 2. Therefore:

5x - 3 = (2x + 25)2

multiply

5x - 3 = 4x + 50

ad 3 to both sides

5x = 4x + 53

subtract 4x from both sides

x = 53

Input into the equation to check:

5x - 3 = (2x + 25)2

5(53) - 3 = (2(53) + 25)2

265 - 3 = (106 + 25)2

262 = (131)2

262 = 262, it's correct :)

Answer 2

Answer:

Step-by-step explanation:


Related Questions

Since 1 inch=2.54 centimeters what does 1 centimeter equal in inches?

Answers

Answer:0.393701 Inches

Step-by-step explanation:

Answer:

0.39

Step-by-step explanation:

0.39 is the answer. The answer above gives you the exact numbers.

Give a polynomial of degree 3 that has zeros of 18, 10i, and -10i and has a value of -3434 when x = 1. Write the polynomial in standard form​

Answers

Answer:

nice answer I think so so keep doing what you are doing

Which of the following could be the areas of the three squares shown

Answers

Answer:

Can't answer if you don't have the answers

Answer: It’s A

Step-by-step explanation:

Do the ratios 5:10 and 1:2 form a proportion? yes no ​

Answers

Answer:

Yes

Step-by-step explanation:

They both have a ratio of 1:2 and start at the origin (0,0)

Answer:

yes

Step-by-step explanation:

1*5 = 5

2*5 = 10

hope this helps, pls mark brainliest :D

You have $140 in a savings account and save $12 per week. Your friend has $92 in a savings account and
saves $18 per week. How many weeks will it take for you and your friend to have the same balance?

Answers

Answer:

it would take 5 weeks for you and your friend to have the same balance

Brian purchases an RV for $32,000. The value of the RV is decreasing exponentially at a rate of 5% per year. Write a function that could be used to model the value of the RV where x represents the number of years since the RV was purchased . What will the RV be worth in 20 years? Please show work

Answers

Answer:

the value of the project is $16,096.88

The computation of the value of the project is shown below:

= (Expected amount generated per year × (1 - (1 ++ rate of returm)^-time period )) ÷ rate of return

= $36,950 ×  [1 - 1.1^-6] ÷ 0.1

= $16,0926.88

Hence, the value of the project is $16,096.88

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Apples sell 4 for 2.40 how much do 6 apples cost

Answers

Answer:

3.6

Step-by-step explanation:

Answer:

$3.60

Step-by-step explanation:

2.40 / 4 = .60 per each apple, simple mental math.

60 * 6 = 360

Ingredients 12 slices of bacon 34 of a cup of popcorn kernels stick of butter 3 tablespoons pure maple syrup​

Answers

Answer:

Is this a question? A recipe? Or a challenge?

Step-by-step explanation:

please help me if you think you're kind lovely beautiful super hot please help me

Answers

Answer:

y2-y1

x2-x1

should be correct

Step-by-step explanation:

prove me wrong

9x(-1)-18 divided by (4+5)

Answers

Answer:

Step-by-step explanation:

9x times -1 =-9x

-9x-18 divide

(4+5=)9

divide 18 by the denominator 9 and get

-9x-2

/1

since anything pretty much divided by 1 remains the same this is simplified to

-9x-2 and since you dont know x's variable this is its simplifed form

Answer:

-9x-2

Step-by-step explanation:

[tex]9x(-1)-18/(4+5)[/tex]

Multiply 9x and -1

[tex]-9x-18/(4+5)[/tex]

Add 4 and 5

[tex]-9x-18/9[/tex]

Divide 18 and 9

[tex]-9x-2[/tex]

I hope this helps!

In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S. Supreme Court. Using a significance level of 0.01, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court. (For z give the answer to two decimal places. For P give the answer to three decimal places.)
z=
p=

Answers

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

The number b is rational. Which statement about
is true?
b
is rational
4
b
is irrational
4
b
can be rational or irrational, depending on the
4.
value of b.

Answers

Answer:

b

Step-by-step explanation:

hi


Demetrius Scored 28 points in5 56 minutes duringa game of tennis. How many points did he average per minute during that
5 and 56 minutes? Type your answer as a simplified improper fraction

Answers

Answer:

420/89

Step-by-step explanation:

What we know:

Demetrius scored 28 points in 356 seconds.

To get the per second rate divide 28 by 356.

28/356 = 7/89

Here, we're looking for the per minute rate, so multiply the previous rate by 60.

(7*60)/89 = 420/89 (Since this asks for an improper fraction, I'll keep it as so.)

The quantity r varies jointly with t and u and inversely with s when t= -12, u= -7, and s= -4, r= -126. Find r when t= -8, u= 8, and s= -6.

Write your answer in exact form.

Answers

Answer:

r = 64

Step-by-step explanation:

r = (k*t*u)/s

Where,

k = constant of proportionality

t = -12,

u= -7,

s= -4,

r= -126.

r = (k*t*u)/s

-126 = (k*-12*-7)/-4

-126 * -4 = 84k

504 = 84k

k = 504/84

k = 6

Find r when t= -8, u= 8, and s= -6.

r = (k*t*u)/s

= (6*-8*8) / -6

= -384 / -6

= 64

r = 64

What is the probability of the following, (for each answer, enter an exact number)

(A) an event A that is certain to occur

Answers

Answer:

Probability of certain event P(E) = 1

Step-by-step explanation:

An event or program A that is likely to occur has a probability of 1, which indicates that there will always be an event or a program.

Probability of certain event P(E) = 1

pplease please please please please please please please please please please help me

Answers

Answer:

I'm I'm confused because

Step-by-step explanation:

which question are you talking about?

2 cm on a map are equal to 3km in real life. if two points are 8 cm apart on the map how fat apart are they in real life

Answers

Answer:

12 km

Step-by-step explanation:

Is this really college level math?

Answer:

12 Km

Step-by-step explanation:

Ratio

=2:300000

=2/300000

=1:150000

=8*150000

=1200000cm

=12Km

Mark as Brainliest

In India It is 3rd class maths

Which statements are true about the ordered pair (10, 5) and the system of equations?
(Look at the file to answer the question)

Answers

Answers:

The first and third options should be selected.

The ordered pair (10,5) is a solution to the first equation because it makes the first equation true. The ordered pair (10,5) is not a solution to the system because it makes at least one of the equations false.

Explanation:

In order for a point to be a solution to a system of equations, it must make both equations true when its x and y values are substituted in. That being said, we need to test if (10,5) is a solution for the two equations.

Let's try the first equation. Substitute 10 for x and 5 for y and solve:

[tex]2x - 5y = -5\\2(10) - 5(5) = -5\\20 - 25 = -5\\-5 = -5[/tex]

-5 does equal -5, so (10,5) is a solution to the first equation.

Next, let's test the second equation. Do the same:

[tex]x + 2y = 11\\(10) + 2 (5) = 11\\10 + 10 = 11\\20 = 11[/tex]

However, 20 does not equal 11, therefore (10,5) is not a solution to the second equation.

So far, we know that (10,5) is a solution to the first equation, but not the second equation. Knowing this, it cannot  be a solution to the system because it does not make both equations true. Therefore, only the first and third options should be selected.

What is the distance between the points (13, 5) and (13, -13)?

Answers

Answer:

18 studs

Step-by-step explanation:

If you label them correctly on a graph you will see this is the correct answer.

Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D

Answers

Answer:

G = 7

Step-by-step explanation:

Divide both sides by 5.1 to get G by itself.

Divide 5.1 by 5.1 and get 1

Divide 35.7 by 5.1 to get 7

G = 7

Brainliest pls

Answer:

7

Step-by-step explanation:

5.1g = 35.7

g is being multiplied by 5.1. The opposite operation to multiplication is division. To get rid of the 5.1 multiplying g, we need to divide 5.1g by 5.1 since 5.1/5.1 = 1. The rule of equations is that you must do the same operation to both sides of the equation. Since we need to divide the left side by 5.1, we divide both sides by 5.1.

5.1g/5.1 = 35.7/5.1

g = 7

Answer: 7

need help asap pic 48 POINTS

Answers

Answer:

p = -9 ; open circle pointing left

Step-by-step explanation:

-7p + 3 < - 60

*subtract 3 from both sides*

-7p < -63

*divide both sides by -7*

p < -9

Find the equation of the line specified. The line passes through the points (7, -7) and (6, -5)

a. y = -2x + 7
b. y = 2x -21
c. y = -2x - 7
d. y = 2x - 7​

Answers

Answer:

a. y = -2x + 7

Step-by-step explanation:

First, find the slope by plugging the points into the slope formula, [tex]\frac{-7+5}{7-6}[/tex], which equals -2. Then use the slope and the point (7,-7) to make an equation in slope-point form. y+7=-2(x-7), finally solve for y to get y=-2x+7.

Answer:

A

Step-by-step explanation:

Which expression can be used to calculate the rate per second at which the machine launches the balls?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{16}{4}[/tex]

(3n-9)+(1/5n+13)=(?+1/5n)+(-9+?)=?


Can u halp :C you need to simplify answer

Answers

Answer:

[tex]3\frac{1}{5}n[/tex] + 4

Step-by-step explanation:

First Step: Write the equation

(3n - 9) + ([tex]\frac{1}{5}[/tex]n + 13) =

Second Step: Combine like terms together

(3n + [tex]\frac{1}{5}[/tex]n) + (-9 + 13)=

Third Step: Simplify

[tex]3\frac{1}{5}n[/tex] + 4

Hope this helped! <3

help me quick!!!..!..!

Answers

Answer:more info needed

Step-by-step explanation:

see the block between path 1 and 2? figure out how big that square is, and subtract how much area triangle ABC takes up. that is your answer

The scale on a map is 1in=500miles. How many inches apart are cities that have a distance of 3000 miles between them

Answers

Answer:

Im sorry but i will answer when i get back from school.

Step-by-step explanation:

Use the following half-angle identity to find the exact value of tan165.
Tan(a/2)= plus or minus the square root of (1-cos a/ 1+cos a)
A. 2- sqrt 3
B. 2+ sqrt 3
C. - sqrt (7-4 sqrt 3)
D. Sqrt (7-4 sqrt 3)

Answers

Answer:

d on edge

Step-by-step explanation:

which graph shows a trend line that best fits the data?

Answers

Answer:

B

Step-by-step explanation:

Here is the meaning of the "Line of Best Fit" refers to a line through a scatter plot of data points that best expresses the relationship between those points. A straight line will result from a simple linear regression analysis of two or more independent variables.

Here is the rule for the "Line of Best Fit"

A line of best fit can only be drawn if there is strong positive or negative correlation. The line of best fit does not have to go through the origin. The line of best fit shows the trend, but it is only approximate and any readings taken from it will be estimations.

Answer:

B

Step-by-step explanation:

The line starts where the points starts and the line ends where the points end .

a+4b=-4 a+10b=-16
how to solve this problem ​

Answers

Answer:

a,b=4,-2

Step-by-step explanation:

Subtract:

a-a+4b-10b=-4-(-16)

-6b=-4+16

-6b=12

b=-2.

Plug in:

a+4(-2)=-4

a-8=-4

a=4.

Hope this helps plz hit the crown :D

What is the temperature in degrees Fahrenheit of a freezer kept at −25°C?

Answers

The answer is -13 degrees Fahrenheit
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