if mBC= 24 ft, mAC = 2x+1, and the mBA=7x-4, what is the value of x?

Answers

Answer 1

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]BC = 24[/tex]

[tex]AC = 2x + 1[/tex]

[tex]BA = 7x - 4[/tex]

Required

Find x

The given parameters shows that A is a point on BC;

So:

[tex]BC = BA + AC[/tex]

Substitute values for BC, BA, AC

[tex]24 = 7x - 4 + 2x + 1[/tex]

Collect Like Terms

[tex]24 + 4 - 1 = 7x + 2x[/tex]

[tex]27 = 9x[/tex]

Solve for x

[tex]x = 27/9[/tex]

[tex]x = 3[/tex]

Answer 2

Answer:

x=3

Step-by-step explanation:

:)


Related Questions

Describe the error in finding the length of AB.
B
cm
1
2.
3
4
5
6
X
AB= |1 + 4.5| = 5.5
O Should have added 5.5 instead of 4.5.
Should have measured to hundredths.
Should have subtracted instead of adding.
O Should have lined up ruler from the right side.
The actual length of the segment is
centimeters.

Answers

Answer:

first answer is correct

h(x) = 3x - 4What is h(6)?
5
14

Answers

h(6) would equal 18 not 14 or 5
H(6) would = 14

H(6) = 3(6) - 4 —> 18-4 —> 14

What is the slope of the line that contains the points (-2, 7) and (2, 3)? O A. -4 OB. 4 O C. -1 O D. 1 SUBM​

Answers

Answer:

- 1

Step-by-step explanation:

[tex]slope = \frac{3 - 7}{2 - ( - 2)} = \frac{ - 4}{2 + 2} = - \frac{4}{4} = - 1 \\ [/tex]

The slope of the line that contains the points (-2, 7) and (2, 3) is -1.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the points (-2, 7) and (2, 3).

So, the slope of line

= (3 -7)/ (2- (-2))

= (-4) / (4)

= -1

So, the slope of line is -1.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ5

Find the length of the diagonal AD in the pentagon ABCDE shown in the coordinate plane. 5 units

Answers

Answer:

[tex]\sqrt{73}[/tex]units.

Step-by-step explanation:

We have given a pentagon ABCDE

We need to calculate its length

That means we have to find the distance of AD

So, coordinates of A(1,6) and D(4,-2)

Using distance formula:

Here,

On substituting the values we will get:

On simplification:

Hence, the length of AD is   units.

my friend is having trouble with some algebra 2, pls help !​

Answers

Answer: 5

Step-by-step explanation:

The function is f(x)= -4x-3:

1) Substitute x with -2 to get: f(-2)= -4(-2)-3

2) Solve using P.E.M.D.A.S to get 8-3=5

Therefore, the answer is 5.

The school that Stefan goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 1 senior citizen ticket and 14 student tickets for a total of $225. The school took in $120 on the second day by selling 7 senior citizen tickets and 1 student ticket. What is the price each of one senior citizen ticket and one student ticket?

Answers

x = price of a senior ticket

y = price of a student ticket

First day: x + 14y = $225

Second day: 7x + y = $120

Let's solve this system of equations by substitution

Subtract 14y from both sides on our first equation

First day: x = $225 - 14y

Substitute this value into our second equation for x

7($225 - 14y) + y = $120

Distribute the 7

$1575 - 98y + y = $120

Combine like terms

$1575 - 97y = $120

Subtract $1575 from both sides

-97y = -1455

Divide both sides by -97

y = $15

Plug this value into our first equation

x + 14(15) = $225

Simplify

x + $210 = $225

Subtract $210 from both sides

x = $15

The senior and student tickets cost $15

are 1/3 and 3/9 equivalent? explain your answer.

Answers

Yes it’s true 1/3 is equal to 3/9

1.4-28/x

Solve for x

Answers

Answer:

20

Step-by-step explanation:

1.4-28/x = 0

bring 1.4 to the right hand side

-28/x = -1.4

bring the x to the right hand side

-28 = -1.4x

switch the positions of -28 and -1.4x

-1.4x = -28

divide -28 by -1.4

x = -28/-1.4

x = 20

how do you writ 1.660 in scientific notation ​

Answers

Answer:

[tex]1.66 * 10^{0}[/tex]

Step-by-step explanation:

1.660

we would only move the decimal point once.

1.66 * 10^0

10^0 = 1

In the figure shown, FG is tangent to circle D. HELP ASAP!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.

Answer: B.

A certain plant grows 1 and 2/5 inches every week. How long will it take the plant to grow 5 and 1/5 ​inches?

Answers

Answer:

About 4 weeks.

Step-by-step explanation: Because:  

5 1/5 divided by 1 /25 equals 3.71428571429. And that rounded down is 4.

Tell whether the equation has one, zero, or infinitely many solutions 8(x – 5) + 36 = 7x – 2​

Answers

it has one solution, x=2

Answer:

jroteejktrsafh‍❤️♥️❣️❣️♥️♥️‍‍‍‍‍‍‍‍☘️

The larger of two consecutive ODD numbers is one less than twice the smaller number. Find the larger of the two numbers.

Answers

Answer:

            5

Step-by-step explanation:

z -  any integer

2z+1 - any odd integer (the smaller one)

2z+1+2 = 2z+3 - odd integer consecutive to 2z+1  (the larger one)

2(2z+1)    - twice the smaller number

2(2z+1) - 1    - one less than twice the smaller number

2(2z+1) - 1 = 2z + 3

4z + 2 - 1 = 2z + 3

2z = 2

 z = 1

2z+3 = 2•1+3 = 5

check:

2z+1 = 2•1+1 = 3,  

2(2z+1)-1 = 2(2•1+1)-1 = 2•3-1 = 5 = 2z+3

3-2(1+2)?
1 (1+2)
1+2
3

Answers

Answer:

your method is wrong, final answer should be -3

Step-by-step explanation:

symbols are used in the order of bracket first, then multiplication and division, then addition and subtraction

i.e.

3 - 2(1 + 2)

= 3 - 2(3)

= 3 - 6

= -3

Answer:

=-3

Step-by-step explanation:

which expression is a factor of this polynomial x^3+2x^2-9x-18
a(x-2)
b(x+1)
c(x+2)
d(x-6)
please hurry

Answers

Answer: (x+2)

Step-by-step explanation:

The factor of the polynomial expression is "(x+2)".

Polynomial expression:

[tex]\to x^3+2x^2-9x-18[/tex]

factor=?

[tex]\to x^3+2x^2-9x-18=0\\\\\to x^2(x+2)-9(x-2)=0\\\\\to (x+2)(x^2-9)=0\\\\\to (x+2)(x^2-3^2)=0\\\\\to (x+2)(x-3)(x+3)=0\\\\[/tex]

Therefore, the answer is "[tex](x+2)[/tex]".

Learn more about the factor here:

brainly.com/question/713325

Question 1
Solve:
|2x - 1= 5

Answers

Answer:

i believe that it is  x = 3

Step-by-step explanation:

hope this helps :)

Answer:

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Tell whether the given value is a solution of the inequality.
15n > -3; n = -2

Answers

Answer: no

Step-by-step explanation:

1s22s22px22py22pz23s23px23py23pz2

Answers

Given :

Electronic configuration of an electron :

[tex]1s^2\ 2s^2\ 2p_x^2\ 2p_y^2\ 2p_z^2\ 3s^2 \ 3p_x^2\ 3p_y^2\ 3p_z^2[/tex] .

To Find :

The element having such an electronic configuration .

Solution :

We know , the sum of all the power of s and p in all the orbit gives total number of atoms in elements .

So , atomic number is :

[tex]Z=2+2+(2+2+2)+2+(2+2+2)\\\\Z=18[/tex]

Since , the atomic number is 18 .

Therefore , the element is Argon .

Hence , this is the required solution .

Select the Correct Answer Consider the following Equation 12w - 27 = -34 + 14 Which Equation has the same solution as the equation given above?[tex]A. -2w + 21 = -8w + 36\\B. -\frac{5}{6} w + 2 = -34 + 14w\\C. -47 - 10w = -9w -40 - 3w\\D. \frac{9}{7} w = \frac{13}{14} w + 2[/tex]

Answers

12w - 27 = -34 + 14
w = 7/12

A -2w+21=-8w+36
w=17/8

B -5/6 w + 2 = -34+14w
w=216/89

C -47-10w=-9w-40-3w
w= 7/2

D 8/7w=13/14w+2
w=28/5


Removing which ordered pair from the table would make the relation a function of x?

Answers

The answer should be (4,1)

Find the area of the triangle defined by E = (-2, 8), W = (11, 2), and S = (-2, -4). Now find the area of triangle WLS where L is (-2, 0).

Answers

Answer:

This question i think google could help you if not more then brainy if u don't get a answer fast enough

Step-by-step explanation:

hope i helped u a little bit i know i didn't have a answer.

PLZ HELP! WILL MARK BRAINLIEST!! Rewrite the function in standard form, y = ax² + bx + c, and identify the y - intercept.SHOW WORK! y = 9(x - 8)² + 17

Answers

Answer:

[tex]\huge\boxed{y=9x^2-144x+593}[/tex]

Step-by-step explanation:

[tex]y=9(x-8)^2+17\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\y=9\bigg(x^2-2(x)(8)+8^2\bigg)+17\\\\y=9(x^2-16x+64)+17\qquad\text{use the distributive property}\\\\y=(9)(x^2)-(9)(16x)+(9)(64)+17\\\\y=9x^2-144x+576+17\\\\y=9x^2-144x+593[/tex]

Evaluate - 2y + x(-3)
When x = -5 y = 3

Answers

Answer:

27

Step-by-step explanation:

2(6) + -5(-3)

= 12+15

= 27

Try seeing the problem as
-2(y) + x(-3)
If you plug in 3 in place of y, you’ll get
-2(3) + x(-3).
If you solve the first half of the equation, you’ll be left with
-6 + x(-3)
Repeat this step with x, by plugging in -5 in place of x
-6 + -5(-3)
A positive * a positive = a negative, so your equation should look like
-6 + 15
If you flip it around, you’ll be left with a simple problem, and answer
15 - 6 = 9


Which of the following numbers is closest to 10?
A. 98
B. 99
C. 102
D. 97

Answers

I’m not really sure but I think it’s 97

Answer: 99

Step-by-step explanation:

A_P_E_X approved need proof here is an imagine

One coin is randomly selected from a jar containing 70 nickels, 100 dimes, 80 quarters, and 50 one-dollar coins. P(value greater than $0.10)

Answers

Answer:

This possability is 100/300 or 1/3 chance

Step-by-step explanation:

For each of the last three years, your landscaping business has made a profit of $1,200; $2,100; and $3,400. How much total profit did your business make in the last 3 years?

O $5,670

O $6,070

O $6,700

O $7,600

O $7,650​

Answers

Answer:

The answer would be $6,700

If y(x) = 2x-5, then f(4) is A. 17 B.5 C.4 D.3​

Answers

Answer:

i think the answer is 3

Step-by-step explanation:

Please someone help I need this done quick

Answers

Step-by-step explanation:

f(x) = x² - 2x - 3

g(x) = 4x²

f(g(x)) = f(4x²)

f(4x²) = (4x²)² - 2(4x²) - 3

= 16x⁴ - 8x² - 3

How do you use 30 60 90 triangles

Answers

The hypotenuse
(the side corresponding to 90 degree angle) is twice the leg of the shortest leg

The shortest leg
(the side corresponding to 30 degree angle) is half the length of the hypotenuse

The longest leg
(the side corresponding to 60 degree angle) is the square root of 3 times the length of the shortest leg

With a budget of $250, you have decided to open a snack shop on campus. You can only choose 4 items to sell in your shop (2 salty and 2 sweet). But, you can purchase multiple cases of each snack you choose. You must make sure to purchase at least 500 items. This project will help you to decide which options will be best for your store. You will also explore the potential profit you could make.Remember to refer to the background information given in the instructions.

Answers

Step-by-step explanation:

800 is the correct answer

Answer:

800

Step-by-step explanation:

because you would have to get multiple items

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