J is the midpoint of CT
If:
CJ= 5x – 3 and
JT = 2x + 21
Find CT.

Answers

Answer 1

Answer:

74

Step-by-step explanation:

Since J is the midpoint, that just means that both CT and JT are going to be the same length. With that information we can create an equation and solve for x.

5x - 3 = 2x + 21

5x = 2x + 24

3x =24

x = 8

Now to find the length of CT, we will add both equations to find the total length.

5x - 3 + 2x + 21

5(8) - 3 + 2(8) + 21

40 - 3 + 16 + 21

37 + 16 + 21

53 + 21

74

Best of Luck!

Answer 2

Answer:

CT = 74

Step-by-step explanation:

J = the midpoint of CT

CJ = JT

5x – 3 = 2x + 21

    +3           +3

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

5x = 2x + 24

-2x   -2x

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

3x = 24

x = 8

Now, we know that CT = CJ + JT

= 5x - 3 + 2x + 21

= 7x + 18

now our x value we found was 8 right? Plug that in here.

= 7 (8) + 18

= 56 + 18

= 74


Related Questions

Express the limit as a definite integral on the given interval.

n
lim Σ
n→[infinity] n i = 1 [3(xi*)3 − 7xi*]Δx, [2, 5]

Answers

9514 1404 393

Answer:

  [tex]\displaystyle\int^5_2 {(3x^3-7x)} \, dx[/tex]

Step-by-step explanation:

The interval of interest becomes the limits of integration. ∆x becomes dx, and the xi are replaced by the variable of integration, x.

6 ice cream cones cost $10. How much will 9 cost?

Answers

Answer:

15 dollars

Step-by-step explanation:

We can write a ratio to solve

6 cones         9 cones

------------   = --------------

10 dollars       x dollars

Using cross products

6*x = 10 *9

6x = 90

Divide each side by 6

6x/6 = 90/6

x = 15

age at BBM 2019 Question Group 'A Brief answer questions; 1. Integrate the following: S(ax? + 2bx + c)3/2(2xa + 2b) dx 2.

Answers

If the integral is

[tex]\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx[/tex]

substitute [tex]u = ax^2+2bx+c[/tex] and [tex]\mathrm du=(2ax+2b)\,\mathrm dx[/tex]. Then you end up with

[tex]\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C[/tex]

which in terms of x is

[tex]\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}[/tex]

m3+ 3 m3 + 4 m²

simplify​

Answers

Answer:

[tex] {m}^{3} + {27}^{m} + 4 {m}^{2} [/tex]

Step-by-step explanation:

[tex] {m}^{3} + {3}^{m 3} + 4 {m}^{2} [/tex]

[tex] {m}^{3} + {3}^{m \times 3} + 4 {m}^{2} [/tex]

[tex] {m}^{3} + {3}^{3m} + 4 {m}^{2} [/tex]

[tex] {3}^{3m} = ({3}^{3} {)}^{m} = {27}^{m} [/tex]

➡️ [tex] {m}^{3} + {27}^{m} + 4 {m}^{2} [/tex]

If several points are graphed on a number line, is the point that is the farthest from 0 always the greatest?

Answers

Answer:

If several points are graphed on a number line, the point that is farthest from 0 need NOT be always greater. Consider x axis, our Real number line. We can traverse in positive number direction and negative number direction.

mark me at brainlist

Answer:

No

Step-by-step explanation:

Are these answers correct? Thxxx

Answers

I think they are. But try asking someone else for more confirmation!

Does this picture indicate that < JAC =

Answers

Answer:

No

Step-by-step explanation:

<JAC = 93

< DBE = 90

The two angles are not equal

How are angles 1,2,3,4 related in the trapezoid

Answers

Answer:

The degree measure of the four add up to 360 degrees. This is actually true of any quadrilateral. Let lower case letter a,b,c and d represent the angle of trapezoid ABCD. Then a+b+c+d= 360 degreees.

Solve 6(x - 3) = 11x +7

Answers

Answer:

x = -5

Step-by-step explanation:

Given,

6(x-3) = 11x + 7

=> 6x - 18 = 11x + 7

=> 11x - 6x = -18 - 7

=> 5x = -25

[tex] = > x = \frac{ - 25}{5} [/tex]

=> x = -5 (Ans)

[tex]\large\bf{\red{ \bullet}} \: \tt \:\: 6(x - 3) \: = \: 11x + 7[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \:\:6x \: - \: 18 \: = \: 11x \: + \: 7[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \:\: - 7 \: \: - 18 \: = \: 11x \: - \: 6x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: \: - 25 \: = \: 5x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: \cancel\frac{-25}{5} \: = \: x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: - 5 \: = \: x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: \: x \: = \: - 5[/tex]

Is 1.0227 a rational number? Explain

Answers

Answer:

NO

Step-by-step explanation:

xbsndjejejxkxkekejejejejs

Answer:

The decimal 1.0227 is a rational number. First of all, it is a terminating decimal, which means that the decimal has a definite ending point.

Step-by-step explanation:

Explain how you would go about factoring the following?

3x^2 +17x-28

Answers

Answer:

[tex](x + 7) \times (3x - 4)[/tex]

Step-by-step explanation:

[tex] {3}^{2} + 17x - 28[/tex]

[tex]3 {x}^{2} + 21x - 4x - 28[/tex]

[tex]3 \times x(x + 7) - 4x - 28[/tex]

[tex]3x \times ( x + 7) - 4(x + 7)[/tex]

[tex](x + 7) \times (3x - 4)[/tex]

Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.

Answers

Answer: f(g) = 895 + 30g

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

He paid $2065. Number of games he played:

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

2065 = 895 + 30g

30g = 2065 - 895

30g = 1170

g = 39

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

Answer: He played 39 games.

Step-by-step explanation:

Number of games anton played is 39; the equation is 2065 = 895 + 30G

How to find the system of equations needed to solve an equation?

An equation usually consists of equality of two mathematical expressions. Let it be

A = B

. If we take them to be equal to third variable, then:

A = B = C

type of equation is obtained.

We can then take it as system of two equations as:

A = C\\ B=C

Solution to this system will give us the solution to the considered equation.

Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.

The equation will be f(g) = 895 + 30G

Amount anton paid = $2065.

Number of games he played;

2065 = 895 + 30G

30g = 2065 - 895

30g = 1170

G = 39.

Therefore, the solution of the equation os 39

Learn more about equation here:

https://brainly.com/question/26254258

#SPJ2

1/2. Divided by 2/12 picture

Answers

1/2 divided by 2/12 or 1/6 would be 3.The reciprocal of 1/6 is 6 and multiplied with 1/2 = 3.

Answer:

3

Step-by-step explanation:

[tex] \frac{1}{2} \div \frac{2}{12} [/tex]

➡️ [tex] \frac{1}{2} \times \frac{12}{2} [/tex]

➡️ [tex] \frac{1}{2} \times 6[/tex]

➡️ [tex] = 3[/tex] ✅

Madison lives between Anoa and Jamie as depicted on the line segment. The distance between Anoa's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Anoa's house and Jamies house is represnted by 9x-3 miles. Find the value of x. Then find the distance between Madison's house and Jamie's house.

Answers

Answer:

x = 3

13 miles between Madison and Jamie's house.

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.

(3x + 2) + (3x + 4) = 9x - 3

Let's add up the terms first

3x + 2 + 3x + 4 = 9x - 3

6x + 6 = 9x - 3

Let's move the variables to the right side by subtract 6x from both sides

6x + 6 = 9x - 3

-6x         -6x

6 = 3x - 3

Add 3 to both sides

6 = 3x - 3

+3        +3

9 = 3x

Isolate the variable, x, by dividing both sides by the coefficient, 3.

9/3 = 3x/3

x = 3

Now we need to find the distance between Madison's and Jamie's house.

3x + 4

Plug in 3 in place of the x

3(3) + 4

9 + 4 = 13

Answer:

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.

iwidncuhbcffbhbhvfrhur3huivr4hiuvriuvfruvfiuvfjivfrjiovrjiovfriojvrfjiovfiovrfmvr mkormkvmkvkmorbemoivbe

Answers

Answer:

3.14159265358979

Step-by-step explanation:

Answer is ihsgdahgfajfahhaivabsvsbshs

which equation can be used to solve for x in the following diagram?

Answers

Answer:

A

Step-by-step explanation:

We know that it is A because the two smaller angles are being added, and we know the sum is 90 degrees. The only equation that satisfies both of these is A.

Answer:

A

Step-by-step explanation:

because it is a right angled

What is 1 1/2 + 3/16

Answers

Answer: 27/16

Explanation:

1 1/2 + 3/16
= 3/2 + 3/16
= 24/16 + 3/16
= 27/16

In store A: A box of cotton candy costs 1 dollar, 12 boxes cost 12 dollars. In store B: 12 boxes cost 48 dollars. How much does each box cost in store B?

Answers

Answer:

$4

Step-by-step explanation:

To find the cost of each box divide the total cost by the number of boxes:

48/12 = 4

In store A:

→ A box of cotton candy cost = $ 1

→ 12 boxes cost = $ 12

In store B:

→ 12 boxes cost = $ 48

Now we have to,

find the cost of each box in the store B.

→ Total cost in B ÷ Total boxes in B

→ 48 ÷ 12 = 4

So, $ 4 is cost of each box in store B.

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anyways, I subscribed to brainly plus
your answer will be deleted immediately if you don't answer it correctly​

Answers

MATH // ANSWER

Representation:

let x be the number:

first number xsecond number x+1third number x+2

Illustration:

(1st)² + (2nd)(3rd) = 46x² + (x+1)(x+2) = 46

Solution:

x² + (x + 1) (x + 2) = 46 + 3x + 2 = 462x² + 3x = 2 - 46 = 02x²+3x - 44 = 0x - 4 = 0 2x + 11 = 0x = 4 2x = -11x = -11/2

1st = 4

2nd = 4+1 = 5

3rd = 4+2 = 6

Checking:

4²+(5)(6) = 4616+30 = 4646 = 46

Answer

the numbers are 4, 5 and 6

HOPE THIS HELPS. GOODLUCK:)

The volume of a cylinder is 64 cubic feet, and the height of the cylinder is 8 feet. What is the radius of the cylinder?

Answers

Answer:

V = pi R^2 * h       volume of cylinder    (area of base * height)

pi R^2 = 64 / 8 = 8

R^2 = 8 / pi = 2.865

R = 1.69 ft

Name a pair of addends with a sum of 6?

Answers

Answer:

2 and 4

1 and 5

3 and 3

Step-by-step explanation:

Answer:

1 + 5

2 + 4

3 + 3

I hope I helped out

Which transformation were used to fcreate traianglemA’ B’ C?

Answers

9514 1404 393

Answer:

  (b) dilation by 2, reflection in y-axis

Step-by-step explanation:

Each of the dimensions of ΔA'B'C' is double the corresponding dimension of ΔABC, so dilation by a factor of 2 has occurred.

The sequence of vertices in ΔA'B'C' is CCW, opposite that of ΔABC. Hence, a reflection has taken place. (Rotation keeps the same order.)

The transformation is a dilation by a factor of 2 and a reflection across the y-axis.

Evaluate the expression: p(6 – n) – m ÷ 5 Use m = 5, n = 2, and p = 4

Answers

Answer: 15

Steps:

4(6-2) - 5/5
= (24 - 8) - 1
= 16 - 1
= 15

Answer:

15

Step-by-step explanation:

m = 5, n = 2, and p = 4

Substituting the values in the equation p(6 – n) – m ÷ 5 ,

4(6-2) - 5/5

4(4) - 1

16 - 1

=> 15

23/89 ÷ 19/90

whoever got it right with explanation will be mark as brainliest.​

Answers

Answer:

1.22

Step-by-step explanation:

89/23=3.87

90/19=4.74

4.74/3.87=1.22

Or

3.87/4.74=0.82

Hope I got it

Answer:

[tex] \frac{2070}{1691} [/tex]

Step-by-step explanation:

[tex] \frac{23}{89} \div \frac{19}{90} [/tex]

➡️ [tex] \frac{23}{89} \times \frac{90}{19} [/tex]

➡️ [tex] \frac{23 \times 90}{89 \times 19} = \frac{2070}{89 \times 19} [/tex]

➡️ [tex] \frac{2070}{1691} [/tex] ✅

What is this number sentence equal to?

If you could help, thank you so much!

Answers

the answer is 18.63 :)

Answer:

18.63

Step-by-step explanation:

[tex] \frac{6}{10} = 0.6 \\ \frac{3}{100} = 0.03[/tex]

[tex]10 + 8 + 0.6 + 0.03 = 18.63[/tex]

WHY DOES NO ONE ANSWER MY QUESTIONS?? Its kinda annoying that i answer others' questions but no one answers mine. Well if anyone feels like helping me heres my question:
A mathematician reported the results from a particular experiment to the researcher who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.21. Based on this p-value, what should the researcher conclude?

The test was not statistically significant because 2 × 0.21 = 0.42, which is less than 0.5.
The test was statistically significant because a p-value of 0.21 is greater than a significance level of 0.05.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.
The test was statistically significant because p = 1 − 0.21 = 0.79, which is greater than a significance level of 0.05.

Answers

Answer:

The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

Step-by-step explanation:

This is the right answer,since this result is only observed 21% of the time, so in general it's not significant, so the first 2 are eliminated. The 2 x 0.21 doesn't matter since, the percent is 21% not 42%, so it doesn't even matter. The last question we eliminate is:"The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time" 79% of the time is a pretty good amount to say it's significant, but it only says 21% of the time.So, it leaves us with:The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

Hope this helps lol (: is this a psat or somethin?

Find the simple interest principal 8000 rate 12% time 5 1/2 years

Answers

Answer:

5280

Step-by-step explanation:

12% of 8000 = 960

960 x 5.5 = 5280

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

use the substitution method to solve the sstem of equations choose the correct ordered pair 2x-y=10 and 2x-2y=4

Answers

Answer:

(8, 6)

Step-by-step explanation:

2x - y = 10

2x - 2y = 4

=>

x - y = 2

x = y + 2

we put that into the first equation

2×(y+2) - y = 10

2y + 4 - y = 10

y + 4 = 10

y = 6

=>

x = y + 2 = 6 + 2 = 8

so, we have a ordered pair (x, y) = (8, 6)

Can someone explain this and answer please :)

Answers

Answer:

day 8

Step-by-step explanation:

the rate of change is 2 (x2) which is making the amount saved double each day you can write a formula to represent this sequence:

f(n)=0.01x2^n-1

you put in the day number for n

f(n)=0.01x2^8-1

this gives you 1.28 which is the first day with an amount above 1.00

6x - 2 < 5x + 7
I DID THIS AND GOT -9 BUT THE ANSWER IS 9 WHAT DID I DO WRONG

Answers

Answer:

The answer is 9.

Step-by-step explanation:

6x - 2 < 5x + 7

6x - 5x < 7 + 2

x < 9

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