What is the value of x?

Answers

Answer 1

Answer:

Step-by-step explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6   {-12*6 = -72  & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0   {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12


Related Questions

Rewrite the expression in the form z^n

Answers

Answer:

  [tex]z^{ \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{\frac{z}{z^{\frac{1}{3}} } } = \sqrt{z \times z^{-\frac{1}{3}}[/tex]                         [tex][ \ \frac{a}{a^x} = a \cdot a^{-x} \ ][/tex]

       [tex]= \sqrt {z^{\frac{2}{3}}}\\\\[/tex]                                 [tex][ \ a^x \cdot a^y = a^{ x+ y} \ ][/tex]

       [tex]= (z^{\frac{2}{3}})^{ \frac{1}{2}}[/tex]                                [tex][ \ \sqrt{x^y} = (x^{y}) ^{\frac{1}{2}} \ ][/tex]

       [tex]= z^ {\frac{1}{3}}[/tex]                                     [tex][ \ (a^x)^y = a^{xy} \ ][/tex]

Write in standard form the equation of a line with a slope of -3/5 and a y intercept of -3

Answers

Answer:

5y+3x=-9

Step-by-step explanation:

Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the slope-intercept form of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.

From this problem, we are given both the slope and the y intercept. We know have the equation:

[tex]y=-\frac{3}{5}x -3[/tex]

Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.

[tex]y+\frac{3}{5} x=-3[/tex]

This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.

[tex]5y+3x=-9[/tex]

I hope this helps! Please let me know if you have any questions :)

Work out the equation of the line that is parallel to the line y = 5x - 3 but also passes through (-2, -4).

Answers

Answer:

[tex]y = 5x + 6[/tex]

Step-by-step explanation:

Parallel lines have the same slope

→ Since the equation is [tex]y = 5x - 3[/tex] and the form of a linear equation is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope, therefore 5 is the slope

Which creates the equation this far:

[tex]y = 5x + b[/tex]

→ Now, substitute the values of the point (-2, -4) into equation [tex]y = 5x + b[/tex]

[tex](-4) = 5(-2) + b[/tex]

→ Solve for [tex]b[/tex]

[tex]-4 = -10 + b\\-4 + 10 = b\\6 = b[/tex]

Resulting in the equation :

[tex]y = 5x + 6[/tex]

The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
10
8
8
7
6.5
4.5

Which of the payment options would you recommend to a new employee?

Answers

Answer:

n k

Step-by-step explanation:

jb

(X+16),(4x-12),(x+10)

Answers

Answer:

Glad  you're using brainly now! Next time put a worded question and the equation so we can know how to help you.

Step-by-step explanation:

If these are points:

If these are lines: first link to graph below

If you were looking for the LCM its 12x(X+16)(x+10)

Iff u were looking to add them: X+5x+14

If u were looking to multiply: 4x2X+28xX+64x2−120X+448x−1920

if u were looking to simplify the matrix: X+16,4x−12,x+10

i hope this helped, im not sure what you wanted help with

For which intervals is the function positive?

Select each correct answer. MULTIPLE ANSWERS

(0,4)

(−2, 0)

(−1.5,−1)

(−∞,−2)

(2,2.5)

(4,∞)

Answers

Answer:

(-infinity, -2) and (0, 4)

Step-by-step explanation:

If the graph is above the x-axis, the function is positive; if below, negative.

The function shown in the graph is positive on the intervals (-infinity, -2) and (0, 4).

Kesha purchased begin mathsize 16px style 3 1 half end style gallons of paint for her house. If each bucket that Kesha has holds begin mathsize 20px style 1 half end styleof a gallon of paint, what is the greatest number of whole buckets Kesha can fill? x a. 5 x b. 6 x c. 7 x d. 8

Answers

Answer:

c

Step-by-step explanation:

If my answer is incorrect, pls correct me!

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

A closed container has 2.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?

0.34 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068 ⋅ 10−1
0.37 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71 ⋅ 10−1
3.41 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068
3.71 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71

Answers

Answer: 0.34 grams

Step-by-step explanation:

Given:

Number of atoms in a closed container

Weight of one atom

Total mass of all the atoms of the gas in the container

Thus A is the right option.

Answer:

0.34 grams

Step-by-step explanation:

find the value of x.

Answers

Answer:

139 degrees

Step-by-step explanation:

we only have a central angle here (angle at the center of the circle).

and that angle remains the same along these 2 lines all the way out to the circle arc (and beyond, wherever these 2 lines take us).

so, if there is nothing missing in this graph, then x is the same as the inner angle : 139 degrees

What Two number multiply to -18 and adds up to -3?

Answers

Answer:

-6 and 3

Step-by-step explanation:

please help I need the answer to this

Answers

Answer:

34

Step-by-step explanation:

Substitute 2 for t in  your formula

Answer:

2

Step-by-step explanation:

it says it in the problem unless theres more to it i would love to help you :)

I need help with question please help me it’s due today

Answers

Answer:

A.) 4 x (y + 7)

Step-by-step explanation:

4 times means that you are going to be multiplying something by 4. It says 4 times the sum of y and 7. This means that you are going to multiply whatever y and 7 equal by 4. Sum means addition. So that's going to be that you are multiplying what the combined total of y and 7 is by 4.

I hope this helped :)

Two lines are intersecting. What is the value of x? Enter your answer in the box. Two straight lines intersecting each other where the consecutive angles formed are x plus twenty three degrees and two x plus four degrees.

Answers

Answer:

x = 51

Step-by-step explanation:

Supplementary angles total 180º

(2x + 4) + (x + 23) = 180

Combine like terms

3x + 27 = 180

Subtract 27 from both sides

3x = 153

Divide both sides by 3

x = 51

Answer:

Hello! x = 51

Step-by-step explanation:

OMG I CAN ANSWER FINALLY!

it is forming a supplementary angle meaning it will add up to 180 degrees

51 × 2 = 102 102 + 4 = 106

51 + 23 = 74

106 + 74 = 180 therefore x = 51 Hope that helps.

The diagram shows a sector OAPB of a circle, centre O.
AB is a chord of the circle.
OA = OB = 5.4 cm.
Angle AOB = 72°

Calculate the area of the shaded segment APB.
Give your answer correct to 3 significant figures.

Answers

Answer:

4.44 cm²

Step-by-step explanation:

If the diagram attached below is required to complete the question,

Applying,

Area of the shaded segment(A) = Area of the sector- area of the triangle

A = (πr²∅/360)-(r²sin∅/)2................ Equation 1

Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie

From the question,

Given: r = 5.4 cm, ∅ = 72°

Constant: π = 3.14

Substitute these values into equation 1

A = (3.14×5.4²×72/360)-(5.4²/2×sin72)

A = 18.31-13.87

A = 4.44 cm²

which function is graphed below?​

Answers

Answer:

f(x) = sin(x)

Step-by-step explanation:

sin(x) = 0 for x = n×pi, n>=0

sin(x) = 1 for pi/2 and so on

so, clearly that graph is a pure sine wave.

Which is not true?
A) -8<0
B) -8>0
C) 7>-9
D) -9<7

Answers

answer

-8>0

step by step

-8:--------. NB you owe something or someone

0: you don't have anything or you don't owe anything

I’ll mark the brainliest

Answers

The equation in the problem solves the speed as 48.99 miles per hour. At this speed the car takes 100 feet to stop ( also shown in the equation as they replaced d with 100).

This means any speed below 48.99 miles per hour would stop before hitting the tree.

The fastest the car can go would be 48.98 miles per hour.

Justify by replacing s in the equation with 48.98 and solve for d:

48.98 ^2 = (sqrt( 30(0.8)d)

2399.04 = 24d

D = 2399.04/24

D = 99.96 feet

This is less than 100 feet so the car will not hit the tree.

Determine the vertex and axis of symmetry for f (x) = 2(x+4) to the power of 2 + 1

Answers

Answer:

The vertex of the graph is at (-4,1) and thus leading  the axis of symmetry be at x=-4.

Step-by-step explanation:

What is the value for X?​

Answers

Answer:

5

Step-by-step explanation:

6x + 4 + 73 + 73 = 180

6x + 150 = 180

6x = 30

x = 5

Those little marks on AB and BC denote congruence. That makes the triangle isoceles. That means the base angles are equal. Both 73.

Triangle Sum Theory states all angles of a triangle add to 180.

Which expression is equivalent to x-4?

Answers

Answer:

i dont know i need coins

Step-by-step explanation:

5 TIMES 8 equals 15

Answer:

(1/x)^4

Step-by-step explanation:

x can’t be 0 because it is impossible divide a number by 0

Give FIVE (5) real life examples of functions

Answers

Answer:

Physics - The position of a particle experimenting an uniform accelerated motion. (Quadratic function)

Chemistry - The velocity of the chemical reaction as a function of temperature. (Exponential function)

Physics - Convective heat transfer of an element with its surroundings. (Linear function)

Physics - Time conversion from seconds to minutes. (Linear function)

Physics - Radiative heat transfer from an element. (Quartic function)

Step-by-step explanation:

There are many examples of applications of function in real life:

Physics - The position of a particle experimenting an uniform accelerated motion. (Quadratic function)

[tex]y = y_{o} + v_{o}\cdot t + \frac{1}{2}\cdot a \cdot t^{2}[/tex] (1)

Where:

[tex]y[/tex] - Current position.

[tex]y_{o}[/tex] - Initial position.

[tex]v_{o}[/tex] - Initial velocity.

[tex]a[/tex] - Acceleration.

[tex]t[/tex] - Time.

Chemistry - The velocity of the chemical reaction as a function of temperature. (Exponential function)

[tex]k = A\cdot e^{-\frac{E_{o}}{R\cdot T} }[/tex] (2)

Where:

[tex]A[/tex] - Frequency factor.

[tex]E_{o}[/tex] - Activation energy.

[tex]R[/tex] - Ideal gas constant.

[tex]T[/tex] - Temperature.

[tex]k[/tex] - Kinetic constant.

Physics - Convective heat transfer of an element with its surroundings. (Linear function)

[tex]\dot Q = h\cdot A_{s} \cdot (T-T_{\infty})[/tex] (3)

Where:

[tex]h[/tex] - Convective constant.

[tex]A_{s}[/tex] - Surface area.

[tex]\dot Q[/tex] - Heat transfer rate.

[tex]T_{\infty}[/tex] - Temperature of the surroundings.

[tex]T[/tex] - Surface temperature of the element.

Physics - Time conversion from seconds to minutes. (Linear function)

[tex]t' = \frac{1}{60}\cdot t[/tex] (4)

Where:

[tex]t[/tex] - Time, in seconds.

[tex]t'[/tex] - Time, in minutes.

Physics - Radiative heat transfer from an element. (Quartic function)

[tex]\dot Q = \epsilon \cdot \sigma \cdot A_{s}\cdot T^{4}[/tex] (5)

Where:

[tex]\dot Q[/tex] - Heat transfer rate.

[tex]T[/tex] - Surface temperature of the element.

[tex]A_{s}[/tex] - Surface area.

[tex]\epsilon[/tex] - Emissivity.

[tex]\sigma[/tex] - Stefan-Boltzmann constant.

When figuring out the total amount of debt you are responsible for, you should include: a) Car loans and home loans b) Car loans, home loans, and school loans c) Car loans, home loans, school loans, and any credit card debt d) Any debt that must be repaid within 3 years

Answers

Answer:

Car loans,home loans,school loans,and any credit card debt

Answer:

C)

Step-by-step explanation:

I need help with Part A i’ll give you brainlest if you answer this correctly!!!

Answers

I don’t bro cuz I need help to

HELP! Use the substitution method to solve the system of equations.

A. 6x-2y=5

B. (-3,7)

C. (6,-2)

D. No solution

Answers

Answer:

No solution

Step-by-step explanation:

6x-2y = 5

-3x + y = 7 ----> y = 3x + 7 ( solve for y by adding 3x to both sides.

Substitute

6x-2(3x+7) = 5   Distribute

6x - 6x + 14 = 5  Combine like terms

14 = 5                 False statement

No solution

I WILL MARK BRAINLIEST

Answers

Answer:

I'm pretty sure the answer is D.

Step-by-step explanation:

idontknow

¿cuál es el máximo común divisor de 44c⁵, 22c³ y 11c⁴?​

Answers

máximo común divisor es 11c3

I hope I read this problem correctly and that you understand. Let me know if you have any questions:)

Please Help if not the right answer you will get reported if u are wasting this question for points

Answers

7a* Consider the distance is x

2/3x = 240

x = 360

The Distance between two points = 360 Km

7b* Consider the average speed at 2/3 distance was V

(45+V)/2 = 54

45+V = 108

V= 108-45= 63km/hr

The average speed for the last 2/3 trip was 63 km/hr

help i have no idea how to do this​

Answers

Answer:

what you do is first you find out what 4 to the second power is do then you find what 6 to the second power is then you add the two answers you just got. after that you find the square root of the number you just got and that is the answer.

please solve thissssss 5x + 3x = 28

Answers

Answer:

x= 3.5

Step-by-step explanation:

5x + 3x = 28

8x = 28

x = 28/8

x = 3.5

Answer:

5x + 3x = 28

8x=28

x=28/8

x=3.5

PLEASE HELP!! (Look at the photo)

Answers

Answer:

option A. Values greater than 1

Step-by-step explanation:

5 - 2x < 3

5 - 3 < 2x

2 < 2x

1 < x

Answer: i think it’s A.

Step-by-step explanation:

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