There are two right angled triangles

given that Tan A = Tan B

Find the value of X

Answers

Answer 1

Answer:

[tex]x = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

See attachment for triangles

Required

Find x

First, calculate tan A

From the first triangle:

[tex]tan\ A= \frac{x + 2}{x}[/tex]

Next, calculate tan B

From the second triangle:

[tex]tan\ B= \frac{4}{3x-1}[/tex]

[tex]tan\ A = tan\ B[/tex]

So, we have:

[tex]\frac{x + 2}{x}= \frac{4}{3x-1}[/tex]

Cross Multiply

[tex](x + 2)(3x - 1) = 4 * x[/tex]

Open brackets

[tex]3x^2 + 6x - x - 2 = 4x[/tex]

[tex]3x^2 + 5x - 2 = 4x[/tex]

Collect Like Terms

[tex]3x^2 + 5x - 4x- 2 =0[/tex]

[tex]3x^2 + x- 2 =0[/tex]

Expand

[tex]3x^2 + 3x - 2x- 2 =0[/tex]

Factorize:

[tex]3x(x + 1) - 2(x+ 1) =0[/tex]

Factor out x + 1

[tex](3x - 2)(x +1) = 0[/tex]

Split:

[tex]3x - 2 = 0\ or\ x + 1 = 0[/tex]

[tex]x = \frac{2}{3}\ or\ x = -1[/tex]

x can not be negative, so:

[tex]x = \frac{2}{3}[/tex]

There Are Two Right Angled Triangles Given That Tan A = Tan B Find The Value Of X

Related Questions


Two mechanics worked on a car. The first mechanic charged $115 per hour, and the second mechanic charged $65 per hour. The mechanics
combined total of 15 hours, and together they charged a total of $1475. How long did each mechanic work?

Answers

Answer:

Here is another case where we have two unknowns (the number of hours each mechanic worked) so we'll need two equations to solve.

Let A = number of hours first mechanic worked (the one who charged $45/hour)

Let B = number of hours second mechanic worked (the one who charged $105/hour)

From the problem statement, we know that the two mechanics worked a combined 35 hours so the first equation is:

Equation 1: A hours + B hours = 35 hours

We also know that in total, the charge was $2475.  So the second equation is:

Equation 2: (A hours x 45 dollars/hour) + (B hours x 105 dollars/hour) = 2475 dollars

So our two equations are:

1: A + B = 35

2: 45A + 105B = 2475

Multiply both sides of the first equation by -45 to get the following:

-45A - 45B = -1575

Now the two equations are:

1: -45A - 45B = -1575

2: 45A + 105B = 2475

Add them together and the "A" term drops out:

-45B + 105B = -1575 + 2475

or

60B = 900

Now divide both sides by 60:

B = 15

Now plug B = 15 into the first equation:

A + 15 = 35 thus A = 20

So Mechanic A (at $45/hour) worked 20 hours and Mechanic B (at $105/hour) worked 15 hours

Check: 20x45 + 15x105 = 900 + 1575 = 2475

Step-by-step explanation:

hope it helps you (:

Someone HEEEEEELLLLPPP I WANNA PLAY TRAILMAKERS TONIGHT:(

Answers

Answer:

wuts trailmakers...

Step-by-step explanation:

Find f(-3) if f(x) = x^2.

Answers

Answer:

9

Step-by-step explanation:

f(x)=x^2

f(-3)=(-3)^2=(-3)(-3)=9

Answer:

[tex] \large \boxed{f( - 3) = 9}[/tex]

Step-by-step explanation:

Goal

Find f(-3) with given function f(x)=x²

Given

Quadratic Function

[tex]f(x) = {x}^{2} [/tex]

Step 1

Substitute x = -3 in the equation and replace f(x) to f(-3).

[tex]f(x) = {x}^{2} \\ f( - 3) = {( - 3)}^{2}[/tex]

Évaluate f(-3) as we get:

[tex]f( - 3) = 9[/tex]

Hence, the value of f(-3) is 9.

A man drive 250 miles on 2.5 hours.if the posted speed limit was 75 mph the entire way, approximately how many miles per hour over the speed limit was he going

Answers

Answer:

He was going 25 miles over the speed limit.

Step-by-step explanation:

250 miles in 2.5 hours is 250/2.5. That equals 100

100-75=25

How did you revise your guess based on the check you did of the area?

Answers

Answer:

to answer this question i need to know what kind of guess it was or what area or essay or book or whatever it is, this question makes no sense

Step-by-step explanation:

The triangles shown below must be congruent.
47
710
71
)47
62
7
7
O A. True
B. False

Answers

Answer:

True

(Angle-Side-Angle)

The triangles shown below must be congruent is a True Statement.

We have two Triangles in which

There are three angles Congruent in both Triangles.

Also, the side of the triangle is congreunt.

As we know that there is no Criteria which as congruency rule AAA Criteria.

So, we can take two Congruent angles and one Congruent side.

Thus, the statement is True.

Learn more about Congruency here:

https://brainly.com/question/7888063

#SPJ7

Find the missing supplementary angle.

Answers

I need a picture for me to answer
Where is the picture

Shavon has a gift box shaped like a rectangular prism. The box is 12 inches long, 8 inches wide, and 3 inches high. What is the surface area if the gift box?

A. 156 in
B. 184 in
C. 312 in
D. 288 in

Answers

i believe that it’s C: 312 inches

im really confused on this please help if you can

Answers

Answer:

A. 2[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

You have to replace x with one of the values in the set. You have to find the one that works.

3[tex]\frac{1}{2}[/tex]x = 8[tex]\frac{3}{4}[/tex]

8[tex]\frac{3}{4}[/tex] ÷ 3[tex]\frac{1}{2}[/tex] = x

8[tex]\frac{3}{4}[/tex] ÷ 3[tex]\frac{1}{2}[/tex] = 2[tex]\frac{1}{2}[/tex]

Hope this helps :)

Solve the equation x2 = 400. ​

Answers

Answer:

200

Step-by-step explanation:

400/2 = 200


the answer is 0, i just solved the problem, if this is right please give me a good score

a) Work out angle x.
x
55°
b) Write down the value of angle y, giving a reason for your answer.
y =
67°​

Answers

Answer:

math is hard for me but yeah a good place to find answers is here or ggl maybe search on gg and the at the end put answer key i do that a lot hope my

Step-by-step explanation:

explanation helps

Number 12 pleaseeeee
A,B,C, or D

Answers

The answer for number 12 is B.

answer number 4,6,7,8

Answers

4. 0.15(with a bar on 15)

6. B,D

7. ...haha...refer to the attachment plzz..:P I don't wanna type too much...

12. 1331

13. 2.56

The time,
T
(seconds), it takes for a pot of water to boil is proportional to the amount,
A
(litres), of water.
It takes 190 seconds to boil 2.1 litres of water.
Work out how long it takes (to the nearest second) to boil 2.5 litres.

Answers

Answer:

4 minutes

Step-by-step explanation:

A triangle has a height of 24km and a base of 18km. What is the area of the figure?

Answers

Answer:

216 square km

Step-by-step explanation:

24 x 18 / 2 =

432 / 2 =

216 km square

Hope that helps!

Answer:

225 [tex]km^{2}[/tex]

Step-by-step explanation:

which of these shapes are paralellograms? choose all the correct anwsers

Answers

These are all the shapes

(-3a^2 + 4a -5 +6a^3) + (-3a + 4 + 10a^2)

Answers

Answer

=6a3+7a2+a−1

Step-by-step explanation:

Let's simplify step-by-step.

−3a2+4a−5+6a3−3a+4+10a2

=−3a2+4a+−5+6a3+−3a+4+10a2

Combine Like Terms:

=−3a2+4a+−5+6a3+−3a+4+10a2

=(6a3)+(−3a2+10a2)+(4a+−3a)+(−5+4)

=6a3+7a2+a+−1

Plz help offering 100 and will give branliest to teh first who answers! what is
2+2?????????

Answers

Answer:

4

Step-by-step explanation:

Answer:

its 4 u should know this LOLLLL

Step-by-step explanation:

Elenista made an estimate that the angle below was about 170°.
Why did her estimate not correctly describe the angle
measurement?
HELPP MEEE PLSSS PLSS:(

Answers

Answer:

C. The estimate is too large

My bad, wasn't looking at it carefully. The angle seems to be close to 90° than 180°.

Answer:

i believe the answer would be B

Step-by-step explanation:

Diamond measured the base of a soda can and the diameter was 4 inches. What is the circumference of the bottom of the can?

a
.9 inches
b
25.1 inches
c
12.6 inches
d
50.2 inches

Answers

Answer:

c)12.6 inches

the ans in cm is 31.9 cm

I BET NO ONE CAN GET THIS QUESTION RIGHT! WHOEVER CAN EXPLAIN IT AND GET IT RIGHT WILL GET BRAINLIEST.

C=
5
9
(F−32)

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

IT IS C CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC it is c

Hey guys please help me!

Answers

Answer: Option 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Because it is

To make 3 dinner rolls, 34 cup of flour is used. How many rolls can you make with 212 cups of flour?

Answers

Answer:

If 34 cups of flour was use to make 3dinner rolls. . To get the amount of cup which will make a dinner roll divide 34/3=11 approximately. So if 11.3 cups give us 1 dinner roll. To get how many dinner rolls 212 cups of flour divide 212/11.3=18.8 approximately. Or divide 212/34*3=18.8 approximately

Stepchild-by-step explanation:

2. - 4x + 2y = -20



patulong plsss​

Answers

Answer:

6

Step-by-step explanation:

-20/-2 = 10

10-4= 6

Please help! Suppose f(x) = x - 4. Find the graph of
3/4 f(x).
Click on the correct answer.
graph 1
graph 2.

Answers

Answer:

Graph 1 because if you just do the Y coordinate its much easier.

Answer:

graph 1

Step-by-step explanation:

the answer is graph 1

How many gallons each of 0.5% milk and 3% milk should a dairy farmer combine to
get 7 gallons of 2% milk?

Answers

Answer:

2.8 gallons 0.5% milk

4.2 gallons 3% milk

Step-by-step explanation:

let 'x' = .5% milk

let 'y' = 3% milk

System of Equations:

x + y = 7

.005x + .03y = 7(.02)

I used the substitution method and solved the first equation for y:  y = 7 - x

.005x + .03(7 - x) = .14

.005x + 0.21 - .03x = 0.14

-0.025x + 0.21 = 0.14

-0.025x = -0.07

x = 2.8

7 - 2.8 = 4.2

y = 4.2

I can't figure out which one this is, ​

Answers

Answer:

That would be ~p through~v.

please help
solve c+23-16=100

Answers

C = 93 hope this helps!

Answer:

c=93

=23-16=7

7+93=100

hence proved

Please help me solve this

Answers

Answer:

i have done it (*_*)

add them together then you should get 180 add 16 into it which should giver you 196 then divide by 4 which should give you 14.

help me with this answer please <3

Answers

Answer:

(x, y) = (-8, 19)

Step-by-step explanation:

9x + 3y = -15

-4x - 3y = -25

(9x + 3y) + ((-4x) - 3y) = -15 + (-25)

5x = -40

x = -8.

So,

9x + 3y = -15

9 * (-8) + 3y = -15

-72 + 3y = -15

3y = 57

y = 19

Other Questions
Trevor is having trouble understanding how the degree of a nonzero constant is 0. Use the expression 3x^0 to help explain this concept to Trevor. A. The degree of a monomial is the sum of the number of its variables. In the expression 3x^0, the value of the exponent is 0. Any number or variable raised to the power of 0 is 1. So, 3x^0 is equivalent to 3(1), or 3. Therefore, the degree of the nonzero constant 3 is 0. B. The degree of a monomial is the coefficient of its variable. In the expression 3x^0, the value of the exponent is 0. Any number or variable raised to the power of 0 is 1. So, 3x^0 is equivalent to 3(1), or 3. Since the expression has no variables, the degree of the nonzero constant 3 is 0. C. The degree of a monomial is always zero. Therefore, the degree of the nonzero constant 3 is 0. D. The degree of a monomial is the sum of the exponents of its variables. In the expression 3x^0, the value of the exponent is 0. Any number or variable raised to the power of 0 is 1. So, 3x^0 is equivalent to 3(1), or 3. Therefore, the degree of the nonzero constant 3 is 0. state and explain any 5 properties of metals Surface Area of 40,40,40 Plates slide past each other at a. convergent plate boundaries. b. divergent plate boundaries. c. transform plate boundjes. d. stable plate boundaries. heyy pls help with these math questions hurry! Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1 The controller of the South Charleston plant of Ravinia, Inc., monitored activities associated with materials handling costs. The high and low levels of resource usage occurred in September and March for three different resources associated with materials handling. The number of moves is the driver. The total costs of the three resources and the activity output, as measured by moves for the two different levels, are presented as follows: Resource Number of Moves Total Cost Forklift depreciation: Low 4,000 $3,200 High 15,000 3,200 Indirect labor: Low 4,000 $83,200 High 15,000 147,000 Fuel and oil for forklift: Low 4,000 $ $3,550 High 16,000 11,360 Required:If required, round your answers to two decimal places. Enter a "0" if required.1. Determine the cost behavior formula of each resource. Use the high-low method to assess the fixed and variable components.Forklift depreciation:V $F $Y $Indirect labor:V $F $Y $ + $XFuel and oil for forklift:V $F $Y $X2. Using your knowledge of cost behavior, predict the cost of each item for an activity output level of 11,000 moves.Forklift depreciation $Indirect labor $Fuel and oil for forklift $ Help WILL GIVE BRAINLIEST let me redo my question..Find the area of the shaded region. Use 3.14 for pi. You do not need to round any of your answers. What do you think will be different about living in such a cold environment? Over time, more and more Americans have gained the right to vote, which strengthens the democratic principleofequality of outcomeseparation of powersmajority ruleelite privilege Naomi's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 39 regular coffees and 11 decaffeinated coffees. What percentage of the coffees served were regular? Please help me with my math ASAP, I will give brainliest WHO EVER ANSWERS FIRST GETS BRAINLEST When rolling a regularsix sided number cube400 times, how manytimes can you expect toget a number greaterthan one? Vishal's phone plan costs $45.37 per month plus $0.60 per text message. How many text messages can he send and keep his monthly costs to no more than $79? HELP meeeeee please please help 20 points !!!! right answers please how many elements are in 4K2CO3 What is greater than 525.06 but less than 525.6? Many times a business sends out a multitude of materials to people across the country. If for every document they want to showcase particular information such as the company name or contact information, why is creating and saving a template through Quick Style templates worth the time?