Solve for x.
And solve for Z

Solve For X. And Solve For Z

Answers

Answer 1

From Tales theorem:      [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]

Solving for x:

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]

Solving for z:

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]


Related Questions

A company that makes hair-care products had 4,000 people try a new shampoo. Of 4,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?

Please help me!!!

Answers

the answer is 0.6% i think hope this helps

Answer:

0.6%

Step-by-step explanation:

[tex]\frac{24}{4000}[/tex] = 0.6%

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 4000, so we can write it down as 100%=4000.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=4000

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=4000/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 4000

100%/x%=4000/24

(100/x)*x=(4000/24)*x       - we multiply both sides of the equation by x

100=166.666666667*x       - we divide both sides of the equation by (166.666666667) to get x

100/166.666666667=x

0.6=x

x=0.6

now we have:

24 is 0.6% of 4000

Flora made 3 withdrawals of $75 each from her bank account. What was the overall change in her account?

Answers

The answer will be $-225

The overall change in her account will be the deduction of $225 from the beginning of her account.

What is the Subtraction operation?

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given that Flora made 3 withdrawals of $75 each from her bank account.

We have to determine the overall change in her account

Let's assume that the amount at the beginning of her account would be $1000.

The overall change in her account is equal to the difference between  the beginning of her account and the amount of the total withdrawals

The overall change in her account = $1000 - $75 × 3

The overall change in her account = $1000 - $225

Apply the subtraction operation,

The overall change in her account = $775

Thus, the overall change in her account will be the deduction of $225 from the beginning of her account.

Learn more about Subtraction operations here:

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Solve Similar Triangles (advanced)

Solve for x!

PLEASE HELP!!

Answers

Answer:

13.5

Step-by-step explanation:

The two triangles are similar

According to the question

The equation is

⅔=11/x+3

2x+6=33

2x=27

x=13.5

I need help please. Thank you

Answers

Answer:

try 4 inches

Step-by-step explanation:

since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.

brainliest if its correct

Answers

the correct answer is c

what is −1−2.5 as a decimal

Answers

Answer: 3.5

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

Transversal d intersects lines e and f to form 8 angles. The angles formed with line e, clockwise from top left, are 35 degrees, blank, 6, blank. The angles formed with line f, clockwise from top left are 5, 57 degrees, blank, 4. For the diagram shown, find the measures of angles 4, 5, and 6. m∠4 = degrees m∠5 = degrees m∠6 = degrees

Answers

A is the answer on edge

Answer:

d a c

Step-by-step explanation:

An observation tower's shadow is 32 feet long. Not far away, a marble column's shadow is 8 feet long. If the observation tower is 60 feet tall, how tall is the marble column?

Answers

Answer:

15 feet

Step-by-step explanation:

This is calculated using the formula

Height of observation tower/Shadow of observation tower = Height of Marble column/Shadow of marble column

From the question

Height of observation tower = 60 ft

Shadow of observation tower = 32 ft

Height of Marble column = ? x

Shadow of marble column = 8 ft

Hence:

60ft/32ft = x/8ft

Cross Multiply

60ft × 8 ft = 32ft × x

x = 60 ft × 8 ft/32 ft

x = 15 ft

Therefore, the marble column is 15 feet tall

31. Two charged particles, each of 2 x 10-C, are brought from infinity to a
separation of 5 cm. Find the increase in electrical potential energy in the
process.​

Answers

Answer:

P = 72 J

Step-by-step explanation:

Given that,

Charges, [tex]q_1=q_2=2\times 10^{-5}\ C[/tex]

These charges are brought from infinity to a separation of 5 cm.

We need to find the increase in the electrical potential energy in the  process.​ The formula for the electric potential energy is given by :

[tex]P=k\dfrac{q_1q_2}{r}\\\\P=9\times 10^9\times \dfrac{(2\times 10^{-5})^2}{0.05}\\\\P=72\ J[/tex]

So, the required electric potential energy is 72 J.

Answer: bye

Step-by-step explanation:

for sending answers to people with stipud messages that’s why nobody replied to your questions cause your annoying it’s karma have a bad day with your pixelated profile picture

find the equation of a line whose intercepts on the x-axis is -2 and parallel to 2y + x - 1=0​

Answers

Answer:

y = -1/2x-1 would have a x-intercept of -2 when graphed!

i will give brainlist

Answers

I think is -4 ( y + 2) Srry if I’m wrong

Help Asap 15points pic below

Answers

Answer:

[tex]\frac{1}{r^{10} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )

= [tex]\frac{1}{a^{(n-m)} }[/tex]

Then

[tex]\frac{r^{2} }{r^{12} }[/tex]

= [tex]\frac{1}{r^{(12-2)} }[/tex]

= [tex]\frac{1}{r^{10} }[/tex]

PLEASE HELP ASAP PLEASE WORTH 20 POINTS!!

Answers

Answer:

y= -2

y=-2

Step-by-step explanation:

Y = -2

Y = -2

Pls give me BRAINLIEST pls

Help me with math please

Answers

Answer:

Option C i.e. Alternate Interior is correct.

Step-by-step explanation:

From the figure, it is clear that the two parallel lines, let say l and m, are cut by a traversal.

In other words,

if [tex]l[/tex] ║ [tex]m[/tex], then ∠x ≅ ∠y

In our case, x and y are alternate interior angles.

Thus, the two parallel lines, let say l and m, are cut by a traversal, making the alternate interior angles x and y.

Please note that the alternate interior angles x and y are congruent.

Hence, option C i.e. Alternate Interior is correct.

Need help on this one

Answers

Multiply by 4 on both sides

Answer:

Step-by-step explanation:

The first step is to isolate g.

Multiply by 4

When you do that you get

4*(1/4 g) = 4*(3/5)

g = 12/5

g = 2.4

On cold days Leah likes to make hot cocoa. She uses 8 tablespoons of cocoa and 2 tablespoons of sugar. Leah doubles the recipe when her cousin Vinney visits. What is the doubled recipe?

Answers

Answer:

16 tablespoons of cocoa and 4 tablespoons of sugar just multiply by 2

Help and explain please?

Answers

Square root of 160.

Use Pythagorean’s Theorem.
a^2+b^2=c^2
(12)^2+(4)^2=c^2
144+16=c^2
160=c^2
C=square root of 160

Please help asap!!

Find the missing side lengths

Answers

C trust me I took the test

Solve the algebraic equation -4x +2 (x - 1)^2

Answers

Answer:

2x^2 - 8x + 2

Step-by-step explanation:

-4x + 2(x-1)^2

= -4x + 2(x^2 -2x +1)

= -4x + 2x^2 - 4x + 2

= -8x + 2x^2 + 2

=2x^2 - 8x + 2 (usually put the exponent kind of things first)

If g(x)= x^2 - 7x Find g(y-8)

Answers

Answer:

The answer is y² - 23y + 120.

Step-by-step explanation:

The steps to do :

g(x) = x² - 7x

g(y - 8) = (y - 8)² - 7(y - 8)

g(y - 8) = y² - 16x + 64 - 7y + 56

g(y - 8) = y² - 23y + 120

g(y-8) is equal to the quadratic expression y² - 23y + 120.

To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.

Replacing x with y-8, the function becomes:

g(y-8) = (y-8)² - 7(y-8)

To simplify, we expand and simplify the expression:

(y-8)² = (y-8)(y-8) = y² - 16y + 64

-7(y-8) = -7y + 56

Combining the terms, we have:

g(y-8) = y² - 16y + 64 - 7y + 56

Simplifying further:

g(y-8) = y² - 23y + 120

Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.

By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.

To learn more about the quadratic function;

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$56,990 with a interest rate of %50 with a extra 4,000 comes into Dolan’s account every 2 weeks, how much will he have if he waits 3 years?

Answers

Is the interest rate already taken off??

HELPPP what is 2x - 5 by the Square root of 9

Answers

2x-15 is the answer for 2x-5 sq 9

help me solve please

Answers

Answer:

x=78; x=56

Step-by-step explanation:

For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:

102+x=180

Subtract 102 from both sides:

x=78

For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:

34+x=90

Subtract 34 from both sides:

x=56

HELP!!!!!!!!!!!! ITS FOR A FRIEND
The population in Smalltown in 2010 was 30,500 people and is growing exponentially at a rate of 3 percent. Write an equation that defines the population t years after 2010?

Answers

30,500(.3•t) I think that is it

A cat chased after a dog for l mile, and then stop to rest. As soon as the cat sotped,the dog chased after the cat for 1500 yard back towards their starting point. How many yards were the ainmals for her starting point?

Answers

Answer:

0.14768 mile

Step-by-step explanation:

Given that:

Distance at which cat chased dog = 1 mile ; hence they've moved 1 mile from their starting position

Distance for. Which dog chased cat =. 1500 yards towards starting position

Converting miles to yards

1 mile = 1760 yards

1 yard = 0.000568 mile

Number of miles the animals are from Their starting position :

1760 yards - 1500 yards = 260 yards

260 * 0.000568 = 0.14768 mile

I need help with this please help .

Answers

Answer:

Subs: 49.5 students, Tex-mex: 144 students, Italian: 31.5 students

Step-by-step explanation

The number of students eating a type of food can be found by using:

Percent * number of students

So in this equation, we can use this formula to find the answers.

Subs:

22% * 225 = 0.22 * 225 = 49.5

Tex-mex:

64% * 225 = 0.64 * 225 = 144

Italian:

14% * 225 = 0.14 * 225 = 31.5

There is an issue- you can't have half a person. Either this question is wrong, or the person who wrote it didn't keep this in mind.

Ask your teacher whether this question is right, or just leave the answer like this.

math question problem​

Answers

6/4 is the slope of the line

A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of the tree were measured. The length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet 6 inches. What is the height of the tree?

Answers

Answer:

17 feets 3 inches

Step-by-step explanation:

Given :

Converting the parameters to inches only:

Recall:

1 feets = 12 inches

Man's height : 5 feets 9 inches = (12 *5) + 9 = 69 inches

Man's shadow : 3 feets 6 inches = (12 * 3) + 6 = 42 inches

Tree's shadow : 10 feets 6 inches = (12 * 10) + 6 = 126 inches

(Tree's height / tree's shadow) = (man's height / man's shadow)

Let tree's height = x

x / 126 = 69 / 42

Solve for x

42x = 126 * 69

42x = 8694

x = 8694 / 42

x = 207 inches

207 / 12 = 17 feets 3 inches

Answer:

17.25 ft

Step-by-step explanation:

The figure shows two triangles X Y Z and H R Q. Side X Y has a length of h units, side Y Z has a length of 10 feet 6 inches, angle Y is a right angle. Side H R has a length of 5 feet 9 inches, side R Q has a length of 3 feet 6 inches. Angle R is a right angle.

Let h be the height of the tree.

Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.

ZY=(10⋅12) in.+6 in.

Simplify.

ZY=126 in.

QR=(3⋅12) in.+6 in.

Simplify.

QR=42 in.

HR=(5⋅12) in.+9 in.

Simplify.

HR=69 in.

ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground are congruent: ∠Z≅∠Q.  

∠Y≅∠R by the Right Angle Congruence Theorem.

Therefore, by the Angle-Angle Similarity △ZXY~△QHR.

Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tree).

ZY/QR = XY/HR

Substitute the values.

126/42=h/69

Cross multiply.

42h=69(126)

Simplify.

42h=8694

Divide both sides by 42.

h=207 in.

Therefore, the height of the tree is 207 in., or 17.25 ft.

Here is a right-angled triangle.
601
XCm
5 cm
Cos 60° = 0.5
b) What is the value of x?
(2)

Answers

Answer:

Hypotenuse = 10 Cm

Step-by-step explanation:

Given:

θ = 60°

Base = 5 cm

Hypotenuse = x cm

Find:

Hypotenuse

Computation:

Cos θ = Base / Hypotenuse

Cos 60° = 5 / Hypotenuse

0.5 = 5 / Hypotenuse

Hypotenuse = 10 Cm

The solution set of 2(x+4) -5 =-4 is *



-5

3

5

-4​

Answers

Step-by-step explanation:

2(x+4)-5=-4

2x+8-5=-4

2x=-4-8+5

2x=-12+5

2x=-7

x=-7/2

Other Questions
The two blocks shown below have masses m1 = 400 g and m2 = 600 g. They are connected by a string and lie on a frictionless tabletop. A 3.5 N force is applied to block m2, pulling it to the right. Find the acceleration then find the tension force in the string between two objects Photosphere is the:O Lowest layer of the Sun's atmosphereO Highest layer of the Sun's atmosphereO Middle layer of the Sun's atmosphereO The strongest area of chemical reaction within the Sun 5. Robotics deals with the design, construction, operation, and use of robots, as well as computer systems for their control, sensory feedback, and information processing.These technologies are used to develop machines that can substitute for humans andreplicate human actions.a) Falseb) True Which graph shows the solution set for 2 x + 3 greater-than negative 9?A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded. If the lengths of the sides of aSwitzerland flag are 10 ft, what is the area of the flag? What patterns do you notice between the three maps? Using the conceptsyou've learned in this lesson, construct an explanation for these patterns in yourScience Notebook or in the space below. WILL GIVE BRAINLIEST FOR RIGHT ANSWER!!Write the system of equations for this word problem:Alex is on the job hunt. He has narrowed it down to two options. He can sell cars for $400 a week and would earn 25% commission per sale. Or, he could sell boats for $450 a week and earn 15% commission per sale. Write two equations for thisplzthanks:) Where did it take place? Rogue wave This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser. They are trying to collect more money than the students who were in the 9th grade last year. The students in 9th grade last year collected $143.88. Using LaTeX: dd to represent the number of dimes collected and LaTeX: qq to represent the number of quarters, which statement best represents this situation? Group of answer choices LaTeX: 0.25d + 0.1q \geq 143.880.25 d + 0.1 q 143.88 LaTeX: 0.25q + 0.1d \geq 143.880.25 q + 0.1 d 143.88 LaTeX: 0.25d + 0.1q > 143.880.25 d + 0.1 q > 143.88 LaTeX: 0.25q + 0.1d > 143.88 Which option identifies the type of engineer described in the following scenario?Sean is an engineer whose current project is a skyscraper in Richmond, VA. He relies heavily on geometry in his research of building design.MaterialCivilMechanical Chemical Question ThreeDuring the regular season, a National Basketball Association team plays 82 games and a National Football League team plays 16games. In simplest form, what is the ratio of NFL regular season games to NBA regular season games?A4:41B8:4141:4D41:8 i need help,if you help me i'll give hugs :3 The temperature of the system is highest when it is aA. gasB. liquidC. plasmaD. solid Read the line from Grendel.I was safe in my tree, and the men who fought werenothing to me, except of course that they talked insomething akin to my language, which meant that wewere, incredibly, related.This is an example of? I really dont get this math how am i supposed to figure out which side is which? solve 100+0.05p=0.25p Need an idea for a horror/fantasy story. (HELPP PLEASE worth a lot of points)Use the bar graph to find the experimental probability of rolling a number less than 7. what is the experimental probability? Player lose his points when hi will be ____ by his opponent.A. CalledB. TaggedC. Chased Can someone help with this to?