THIS IS URGENT. PLEASE HELP. given AC=30, find the value if x, and the length of BC

THIS IS URGENT. PLEASE HELP. Given AC=30, Find The Value If X, And The Length Of BC

Answers

Answer 1

Answer:

The value of x is 4.8. The length of BC is 14.6.

Step-by-step explanation:

I combined the two expressions 3x+1 and 2x+5 to 5x+6=30

1. I subtracted 6 from 6 and 30 in the equations.

2. I was left with 5x=24

3. I then divide 5 from 5x and 24

4. I got x=4.8

To get the length of BC

2x+5

1. I multiplied 2×4.8

2. I got 9.6

3. I then add 5 to 9.6

4. I finally get the answer 14.6 which is the length of BC

Answer 2

Answer:

[tex]\overline{BC}=14.6[/tex]

Step-by-step explanation:

we know that

[tex]\overline{AC}=\overline{AB}+\overline{BC}[/tex]

so

[tex]30=3x+1+2x+5\\\\30=(3x+2x)+(1+5)\\\\30=(3+2)x+(1+5)\\\\30=5x+(1+5)\\\\30=5x+6\\\\5x+6=30\\\\5x+6-6=30-6\\\\5x+0=30-6\\\\5x=30-6\\\\5x=24\\\\\frac{1}{5}(5x)=\frac{1}{5}(24)\\\\\frac{5}{5}x=\frac{1}{5}(24)\\\\\frac{1}{1}x=\frac{1}{5}(24)\\\\x=\frac{1}{5}(24)\\\\x=\frac{24}{5}\\\\x=4.8[/tex]

and now we solve for BC

[tex]\overline{BC}=2x+5\\\\\longrightarrow x=4.8\longleftarrow \\\\\overline{BC}=2(4.8)+5\\\\\overline{BC}=9.6+5\\\\\overline{BC}=14.6[/tex]

so that's our answer


Related Questions

A train ride is 8 hours long every 2/3 hours the conductor checks on the passengers how many times during the trip does he check on the passenger Please show work​

Answers

Answer:

The conductor checked on the passengers 12 times.

Step-by-step explanation:

To find how many times the conductor checks on the passengers, you must do

8 divided by 2/3

because you have to find how many 2/3 (times checked by conductor) are in 8 hours.

8/1 ÷ 2/3

Switch the two numbers of 2/3 or find the reciprocal which is

3/2

and change ÷ to ×

Now solve.

8/1 x 3/2 =  24/2 (8x3=24 and 1x2=2)

which Simplified is

12/1 or 12

Check your answer:

12/1 x 2/3 = 24/3 = 8

The conductor checked on the passengers 12 times.

create a truth table for The Logical statement​

Answers

In the third column, the sequence is: F, T, F, T

You flip whatever you see in the q column since ~q means "not q".

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

In the fourth column is: T, T, T, F

The general form of p -> q is false if p is true while q is false; otherwise, it is true. So ~q -> p is false when ~q is true and p is false.

Customers at the gym pay a membership fee to join and then a fee for
each class they attend. Here is a graph that represents the situation.

1. What is the slope?
F. What is the y-intercept?

Answers

Answer:

Slope = 20

y-intercept = 60

Step-by-step explanation:

Slope formula is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Pick two points on the line and use their coordinates. Let's pick (1, 80) and (2, 100).

Let,

[tex] (1, 80) = (x_1, y_1) [/tex]

[tex] (2, 100) = (x_2, y_2) [/tex]

Plug the values above into the formula for slope:

[tex] m = \frac{100 - 80}{2 - 1} = \frac{20}{1}} = 20 [/tex]

Slope of the graph is 20.

The y-intercept is the point where the line intercepts the y-axis. Thus, y-intercept = 60.

The average weight of the class of 35 students was 45 KG. with the admission of a new student the average weight came down to 44.5 kg. find the weight of a new student

Answers

The weight of the new student is 27 kg.

Average weight

= total weight ÷total number of students

1) Define variables

Let the total weight of the 35 students be y kg and the weight of the new student be x kg.

2) Find the total weight of the 35 students

[tex]45 = \frac{y}{35} [/tex]

y= 35(45)

y= 1575 kg

3) Write an expression for average weight of students after the addition of the new student

New total number of students

= 35 +1

= 36

Total weight

= total weight of 35 students +weight of new students

= y +x

[tex]44.5 = \frac{y + x}{36} [/tex]

4) Substitute the value of y

[tex]44.5 = \frac{1575 + x}{36} [/tex]

5) Solve for x

36(44.5)= 1575 +x

1602= x +1575

Subtract 1575 from both sides:

x= 1602 -1575

x= 27

Thus, the weight of the new student is 27 kg.

Arnold
25
CAR 1:
A monthly produce box is
delivered to Ms. Jones'
door. There is an initial set
up fee of $25.00 plus
$30.00 each week. If Ms.
Jones spent $265, then
how many weeks did she
receive the produce
box?
Amy
30

Answers

Answer:

5

Step-by-step explanation:

because it is the right answer

Answer:

8 weeks

Step-by-step explanation:

265-30 = 240

240/30(per week)=8

Answer is 8 weeks

A file that is 242 megabytes is being downloaded. If the download is 18.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.

Answers

Answer:

45.3 megabytes

Step-by-step explanation:

242 x 18.7%

= 242 x 0.187 = 45.254 = 45.3 megabytes

Does translating a figure can change the side length

Answers

Answer:

No.

Step-by-step explanation:

Translation is a type of rigid transformation. It simply moves the figure around the coordinate plane, so the size doesn't change.

c or b???????????????

Answers

Answer:

i think it's b4

Step-by-step explanation:

Pls help mee
Show your work pls not just the answer thank you

If five people share three cartons of chow mein, what is each person's share?​

Answers

Answer:

1.6 is how much each person gets

hope this will helpful to you

the diagonals of a square ___ each other, are ___ to each other, ___ opposite angles and are ___

Answers

Step-by-step explanation:

The diagonals of a square bisect each other, are perpendicular to each other, bisect opposite angles and are congruent.


PLEASE HELP!

The endpoints of CD are C(1,-6) and D(7,4). Find the coordinates of the midpoint M.

Answers

Answer:

(4, -1)

Step-by-step explanation:

Given:

C(1, -6)

D(7, 4)

Required:

Midpoint of CD using [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

SOLUTION:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] C(1, -6) = (x_1, y_1) [/tex]

[tex] D(7, 4) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{1 + 7}{2}, \frac{-6 + 4}{2}) [/tex]

[tex] M(\frac{8}{2}, \frac{-2}{2}) [/tex]

[tex] M(4, -1) [/tex]

Finding congruent angles

Answers

Answer:

AAS

Step-by-step explanation:

There are two congruent angles, but the congruent side is not included between the two angles.

32 gallons per minute to how many quarts per hour

Answers

Answer:

The answer is 7680

Step-by-step explanation:

First you multiply 32 by 4(the usual formula) which gives you 128. However, the time changes the some things. So then you must multiply 128 by 60 (60 minutes in one hour). Which gives you 7680

hope i helped :D

given the series 1+2+4+8+.... find the 8th term​

Answers

Consider the [tex]n[/tex]-th partial sum of a geometric series with first term [tex]a[/tex] and common ratio [tex]r[/tex] between consecutive terms. Then the sum of the first [tex]n[/tex] terms of this series is

[tex]S = a + ar + ar^2 + \cdots + ar^{n-1}[/tex]

Multiply both sides by [tex]r[/tex], then subtract [tex]rS[/tex] from [tex]S[/tex] and solve for [tex]S[/tex].

[tex]rS = ar + ar^2 + ar^3 + \cdots + ar^n[/tex]

[tex]S - rS = a - ar^n[/tex]

[tex]\implies S = \dfrac{a(1-r^n)}{1-r}[/tex]

In the given series, we have [tex]a=1[/tex] and [tex]r=2[/tex]; then the sum of the series with [tex]n=8[/tex] terms is

[tex]S = \dfrac{1-2^8}{1-2} = 2^8 - 1 = \boxed{255}[/tex]

Linear Algebra question! Please help!
Which of the following statements are true for all invertible n x n matrices A and B?

Answers

Answers:

falsefalsetruefalseTrue

==================================================

Explanation:

Problem 1

This is false because the A and B should swap places. It should be [tex](AB)^{-1} = B^{-1}A^{-1}[/tex].

The short proof is to multiply AB with its inverse [tex](AB)^{-1}[/tex]  and we get: [tex](AB)*(AB)^{-1} = (AB)*(B^{-1}A^{-1}) = A(B*B^{-1})*A^{-1} = A*A^{-1} = I[/tex]

The fact we get the identity matrix proves that we have the proper order at this point. The swap happens so that B matches up its corresponding inverse [tex]B^{-1}[/tex] and the two cancel each other out.

Keep in mind matrix multiplication is not commutative. So AB is not the same as BA.

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

Problem 2

This statement is true if and only if AB = BA

(A+B)^2 = (A+B)(A+B)

(A+B)^2 = A(A+B) + B(A+B)

(A+B)^2 = A^2 + AB + BA + B^2

(A+B)^2 = A^2 + 2AB + B^2 ... only works if AB = BA

However, in most general settings, matrix multiplication is not commutative. The order is important when multiplying most two matrices. Only for special circumstances is when AB = BA going to happen. In general,  AB = BA is false which is why statement two breaks down and is false in general.

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

Problem 3

This statement is true.

If A and B are invertible, then so is AB.

This is because both [tex]A^{-1}[/tex] and [tex]B^{-1}[/tex] are known to exist (otherwise A and B wouldn't be invertible) and we can use the rule mentioned in problem 1. Make sure to swap the terms of course.

Or you can use a determinant argument to prove the claim

det(A*B) = det(A)*det(B)

Since A and B are invertible, their determinants det(A) and det(B) are nonzero which makes the right hand side nonzero. Therefore det(A*B) is nonzero and AB has an inverse.

So if we have two invertible matrices, then their product is also invertible. This idea can be scaled up to include things like A^4*B^3 being also invertible.

If you wanted, you can carefully go through it like this:

If A and B are invertible, then so is ABIf A and AB are invertible, then so is A*AB = A^2BIf A and A^2B are invertible, then so is A*A^2B = A^3B

and so on until you build up to A^4*B^3. Therefore, we can conclude that A^m*B^n is also invertible. Be careful about the order of multiplying the matrices. Something like A*AB is different from AB*A, the first of which is useful while the second is not.

So this is why statement 3 is true.

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

Problem 4

This is false. Possibly a quick counter-example is to consider these two matrices

[tex]A = \begin{bmatrix}1 & 0\\0 & 1\end{bmatrix} \text{ and } B = \begin{bmatrix}-1 & 0\\0 & -1\end{bmatrix}[/tex]

both of which are invertible since their determinant is nonzero (recall the determinant of a diagonal matrix is simply the product along the diagonal entries). So it's not too hard to show that the determinant of each is 1, and each matrix shown is invertible.

However, adding those two mentioned matrices gets us the 2x2 zero matrix, which is a matrix of nothing but zeros. Clearly the zero matrix has determinant zero and is therefore not invertible.

There are some cases when A+B may be invertible, but it's not true in general.

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

Problem 5

This is true because each A pairs up with an [tex]A^{-1}[/tex] to cancel out (similar what happened with problem 1). For more info, check out the concept of diagonalization.

The sum of the 6th and seventh terms in a sequence of 12 numbers with a common difference is 16. What is the Sum of the number sequence

Answers

Answer:

96

Step-by-step explanation:

commom difference = d

a₆ + a₇ = 16

a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16

a₄ + a₉ = (a₆ - 2d) + (a₇ + 2d) = a₆ + a₇ = 16

Similarly,

a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16

so

a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96

Help help math ASAP please thank you I’ll give points to honest answers

Answers

Answer:

[tex]\displaystyle y = -2x + 8[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so ½ becomes −2. Now, proceed with plugging the information into the Slope-Intercept Formula:

[tex]\displaystyle 2 = -2[3] + b \hookrightarrow 2 = -6 + b; 8 = b \\ \\ \boxed{y = -2x + 8}[/tex]

I am joyous to assist you at any time.

Convert 40 ounces into pounds. Round your answer to the nearest tenth.
Hint There are 16 ounces in one pound.
A. 2.5 pounds
B. 640 pounds
C. 0.4 pounds
PLS ASAPPP

Answers

Answer:

Step-by-step explanation:

Which lunch box holds more? 3.75 in. 7.5 in. 10 in. or 3.75 in. 8 in. 9.5 in.

Answers

They are both really the same. so they should hold the same. All that happened is one moved a 1/2 inch over to the length from the height.  

For each of the following questions, draw a diagram to explain your answer.

a. How many fourths are in one half?

b. How many sixths are in two thirds?

c. How many fourths are in six eighths?

d. How many halves are in 3 5/10​

Answers

Answer:

fourth are in one half

Step-by-step explanation:

please mark me as brainlist please

Q2. The sum of the 3rd term to the 7th in a geometric series is 3267. Find the first term if the common ratio is 3. (3 marks)​

Answers

Answer:

142884, Answer,

Step-by-step explanation:

The first term of a GP is 7, the ratio is 3. What is the sum of the 7th and 10th term?

Solution: In the given GP, a = 7 and r = 3.

The sum of the 7th and the tenth terms

= T7 +T10 = ar^6 + ar^9 = ar^6[1+r^3]

= 7*3^6[1+3^3]

= 5103*28

= 142884, Answer,

please mark brainliest

The first term of geometric series is, a = 363/82

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Give that;

Sum of T₃ and T₇ of geometric series = 3267

And, common ratio(r) = 3

Hence, To find first term (a) we can use formula as;

Tₙ = arⁿ⁻¹

Now,  put the value on formula;

T₃ = a(3)³⁻¹

T₃ = (3)²a

And, T₇ = a(3)⁷⁻¹

T₇ = (3)⁶a

Since, T₃ + T₇ = 3267

Hence,

(3)²a + (3)⁶a = 3267

3²(a + 3⁴a) = 3267

(a + 3⁴a) =363

a + 81a = 363

82a = 363

a = 363/82

Thus, The first term of geometric series is, a = 363/82

Learn more about the geometric sequence visit:

https://brainly.com/question/25461416

#SPJ2

Graph the line using a point and a slope. Write the equation of each line.

a line that passes through the point (0, –3) and parallels to another line whose slope is

1.2.

Answers

Answer:

y=1.2x-3

Step-by-step explanation:

I had this as an rsm problem a few weeks ago and forgot how to solve it lol hope this helps

helppppppppp.........................​

Answers

Answer:

you find the solution to each then arrange from smallest to largest and you'll get the answer

Answer:

D

Step-by-step explanation:

A: 2346

B: 357

C: 168

D: 1239

E: 12345

when put in order from smallest to largest, the order is:

C, B, D, A, E

The middle is D, so the answer is D.

Katie’s cell phone plan includes 400 peak minutes. Last month Katie used 240 peak minutes. This month Katie used 300 peak minutes. What was the percent increase in the number of peak minutes Katie used? HELP ASAP

Answers

Answer:

25%

Step-by-step explanation:

So you subtract the number of peak minutes Katie used last month from the number of peak minutes Katie used this month. Divide the difference by the number of peak minutes Katie used last month. Then multiply by 100 to find the percent increase. Katie used 25% more peak minutes this month than last month.

Hope i helped

Answer:

25%

Step-by-step explanation:

A triangle has sides with lengths of 13 feet, 16 feet, and 4 feet. Is it a right triangle?

Answers

well, a right-triangle will have one angle that is 90°, and using the pythagorean theorem, we also know that the longest side is really the root of the sum of the square of the other two.  After all that mouthfull let's check

[tex]\stackrel{longest}{16}~~ = ~~\sqrt{\underset{short}{13^2}~~ + ~~\underset{short}{4^2}}\implies 16=\sqrt{169+16} \\\\\\ 16=\sqrt{185}\implies 16^2=185\implies 256~~ \ne ~~185\qquad \leftarrow \textit{nope, it isn't}[/tex]

40 - [(8 x 7) - (5 x 6)] need the work also

Answers

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Multiply~the~parenthesis:[/tex]

[tex]\bold{8}[/tex] × [tex]\bold{7=56}[/tex][tex]\bold{5}[/tex] × [tex]\bold{6=30}[/tex]

[tex]2.)~Subtract~the~parenthesis:[/tex]

[tex]\bold{[56-30]=26}[/tex][tex]\bold{When~there~are~2~sets~of~parentheis~you~have~to~solve~according~to~order.}[/tex]

[tex]3.)~Subtract~on~the~side~without~an~equal:[/tex]

[tex]\bold{40-26=14}[/tex][tex]\bold{14=14}[/tex]

______________________________

 [tex]\bold{Answer:}[/tex]

[tex]\bold{The~exact~form~of~this~expression~is~\boxed{14=14}}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}[/tex]

8-9(x+1) = ax+4
In the equation shown above a is the constant ?

Answers

a= -9 - 5/x
hope this helps !

Caleb was recently hired for a job with an annual income of $35,000. Using the federal income rate of 15 %, what amount should Caleb expect to
pay in federal income tax?

Answers

Answer:

answer will be 5250

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

[tex]35000 \times \frac{15}{100} = 350 \times 15 = 5250[/tex]

class 6 students come here I will give you notes class is started come here fast I am waiting come with your name and class girls​​ come fast ​

Answers

Answer:

1+x it means I plus the rest

Determine the slope of the line that passes through the given points. Complete your work in the space provided
(8,1)and (8,-4)


Answers

Answer:

undefined

Step-by-step explanation:

(y2-y1)/(x2-x1)

replacing x and y with the given value:

(-4-1)/(8-8)

-5/0

the slope is undefined because the run is 0

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