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

A business executive received a $6,000 bonus check from her company at the end of the year. This was 5% of her annual salary. How much was her annual salary before receiving the bonus?

Answers

Answer:

120000

Step-by-step explanation:

5 x 20 = 100%

6000 x 20 = 120,000

Given △FGH ~ △LMN, select all the statements that are true. (will give brainliest

Answers

Answer:

Your answers are the first option, your third option, and your last option. I just finished taking the quiz. I hope this helps!

write x^3-11x^2 in standard form

Answers

Answer:

The answer is x^3 - 11x^2

Step-by-step explanation:

Write in standard form.

Hoped this helped!

brainly, please?

Which graph shows a proportional relationship?

Answers

Answer is C I’m pretty sure

There is a linear relationship between the variables x and y. And the line that passes through the origin. Then the correct option is C.

What are ratios and proportions?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Let the two variables x and y.

Where x is an independent variable and y is the dependent variable that depends on x directly. Then we have

The variable y is directly proportional to the variable x.

y ∝ x

When the proportionality sign is removed a constant k comes into the equation. That is given as

y = kx

There is a linear relationship between the variables x and y.

And the line that passes through the origin.

The graph is shown below.

More about the ratio and the proportion link is given below.

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5(y+2/5)=-13
what is y

Answers

Answer:

y=11/5

Step-by-step explanation:

first divide by 5 on both sides

y+2/5=-13/5

subtract 2/5 on both sides to isolate the y

y=11/5

:))

Answer:

y=-3

Step-by-step explanation:

5(y+2/5) = -13

5y+2 = -13

subtract 2 from each side

5y+2-2 = -13-2

5y = -15

divide each side by 5

5y/5 = -15/5

y=-3

check:

5(y+2/5) = -13

substitute -3 for y

5(-3)+2/5) = -13

-15+2= -13

-13 = -13

Describe and correct the error in graphing the system of inequalities. ​

Answers

Answer: The boundary lines are correct, but there shouldn't be any shaded region

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

Explanation:

The graph of [tex]y \le x-1[/tex] will have us graph the boundary line y = x-1, and then shade below this solid boundary line. The boundary line y = x-1 is shown as the bottom boundary line of that diagram.

The graph of [tex]y \ge x+3[/tex] involves the boundary line y = x+3, with shading above the boundary line. The graph of y = x+3 is shown as the top boundary line of that diagram.

The boundary lines are correctly graphed, but the shaded region is incorrect. Instead, there shouldn't be any shaded region. The two shaded regions mentioned in the previous paragraphs do not overlap at all, so we don't have any (x,y) point that is in both shaded regions simultaneously. Therefore, there are no solutions to this entire system.

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

Here's another reason why there's no solution region.

For each given inequality, subtract x from both sides

So [tex]y \le x-1[/tex] turns into [tex]y-x \le -1[/tex], while [tex]y \ge x+3[/tex] turns into [tex]y-x \ge 3[/tex]

Next, let z = y-x

We can replace each copy of 'y-x' with 'z' and we end up with the two inequalities [tex]z \le -1[/tex] and [tex]z \ge 3[/tex]

However, no such number is both -1 or smaller, AND 3 or larger

So there is no solution to that system involving z. Consequently, there are no solutions to the original system of inequalities.

Why is it called the 21" century when the year is 2002?

Answers

Answer: They call it the “21” century because you have to count the first 100 years too, And do you mean 2021?

Step-by-step explanation:

Answer:

If you're talking about how it starts with 20 but its the 21st century, that's because the first 100 years were called the 1st century even though only the 2nd century actually started with 1.

Step-by-step explanation:

helpppp fast get brainliest if right!!

Answers

Answer:

85%

Step-by-step explanation:

Answer:

85% of the balls pitched them.

Step-by-step explanation:

When you want to figure out a percent, you need to take the number of successful outcomes divided by the total number of outcomes. So, in this case, you would take 17/20, which is 0.85. Move the decimal place two times over to the right and you get 85, which is 85%.

I hope this helps u! :D

Write the equation of the line that has a slope of 10/3 and the y intercept of 12

Answers

                 y=10/3x+12

The x is after the fraction

3(2h+5)+5h ????????????

Answers

11h+15
multiply out brackets which would get 6h + 15 then add 5h

Answer:

11h + 15

Step-by-step explanation:

3(2h+5)+5h | Given

6h + 15 + 5h | Distribute

11h + 15 | Combine like-terms

Our math class is having a field trip . The ratio of boys to girls joining the field trip is 11:4.​

Answers

Well that’s un evenn

Find the sum
(w-7)+(-6w-5)
Pls answer i will give brainliest and i will give thanks pls hurry it is due soon

Answers

the answer is:

-5w - 12

the answer should be
-5w-12

You have 10 coins in your pocket. Five are Susan B. Anthony dollars, two are Kennedy half-dollars, and three are presidential dollars. You randomly
choose a coin In how many ways can choosing not a presidential dollar occur?
Kennedy
half-dollar
208080
SOLO
*1999
Susan B. Anthony
dollar
WE TRUST
O
Presidential
dollar
There are
ways you can choose not a presidential dollar.

Answers

Answer:

Im not sure about this one yet

Step-by-step explanation:

but give me a alittle and I'll be bk right away

Not choosing a presidential dollar can occur in 7 ways

Calculating Number of ways for choice

Given : Total 10 coins - 5 susan anthony dollars, 2 kennedy half dollars, 3 presidential dollars

To calculate : Number of ways through which non presidential dollar can be chosen

It can be calculated using Combination Choices

The dollar chosen is out of 7 dollars - 5 susan anthony dollars & 2 kennedy half dollars, ignoring & excluding the presidential dollars

So, number of ways = 7 c 1

= 7 ways

To learn more about Combinations, refer https://brainly.com/question/20211959?referrer=searchResults

five yellow M&Ms for every three green how many green M&Ms if there are 95 yellow

Answers

95/5= 19
19x3= 57 green M&M’s

This was the only question I didnt understand. An explanation would be nice.

Answers

Answer:

B

Step-by-step explanation:

ac =5x

cb=7x

(5x×5x)+ (5 +7)^2 = 7x^2

25x^2+144=49x^2

x=kök 6

ac =5kok 6

(5kok6)×12÷2= 30 kök 6

3/4 ÷ 3/12 =
What is the answer?​

Answers

Answer:

3

Step-by-step explanation:

Multiply the dividend fraction numerator with the divisor fraction denominator to get the numerator

Multiply the dividend fraction denominator with the divisor fraction numerator to get the denominator = 36/12

Reduce the fraction by finding the greatest common factor. The greatest common factor of 36 and 12 is 12

Divide the numerator and denominator by the greatest common factor (12)

= 3/1

Convert to a mixed fraction by finding the whole number and remainder

= 3

Answer:

3

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

It will give you 3.

Hope this helps:)

What transformations are applied to the graph of the function f(x) = 10^x to produce the graph of the function g(x) = 3(10)^x – 2?
A. a vertical dilation by a factor of 1/3 and a vertical shift down 2 units
B. a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units
C. a vertical dilation by a factor of 3 and a vertical shift down 2 units
a vertical dilation by a factor of and a horizontal shift to the right 2 units
OB.
OC.
OD

Answers

To me I would say A it can’t be b or c

Why doesn't anybody help me!!! Please answer this question!!

One side of a rectangle is 9 inches longer than another side. If the longer sides of this rectangle decreases by 5 inches and the shorter sides increases by 3 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle

The sides of the rectangle are ___ feet and ___ 20 feet

Answers

Answer:

So The sides of the rectangle are 15 and 6

help me pls will mark my day no explanation needed

Answers

Answer:

2

Step-by-step explanation:

It's going 2 up and 1 across.

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 19, 38,76,... 19,38,76,... \text{Find the 8th term.} Find the 8th term.

Answers

Answer:

To find the next number in the sequence, multiply the number before by 2.

By this logic, numbers 4-8 in the sequence would be 152, 304, 608, 1,216, and 2,432

Thus, the 8th term is 2,432

Which of the following statements is TRUE regarding b(x)?
A. Over the interval [0, 1], b(x) is negative and is increasing.
B. Over the interval [0, 1], b(x) is positive and is decreasing.
c. Over the interval [0, 1], 5(x) is positive and is increasing.
D. Over the interval [0, 1], b(x) is negative and is decreasing.

Answers

D since it’s slope is negative from [0,1] and negative below the x axis

The only statement that is true regarding the given graph of polynomial b(x) is; Option D; Over the interval [0, 1], b(x) is negative and is decreasing.

The given graph represents the polynomial b(x). Let us look at the options;

Option A; Over the interval (0, 1), we can see that the curve is decreasing from b(x) = 0 to b(x) = -2. Thus, the statement is wrong.

Option B; Over the interval of (0, 1), b(x) is not positive over the interval (0, 1) and so the statement is wrong.

Option C; Over the interval of (0, 1), b(x) is not positive and increasing and so the statement is wrong.

Option D; Over the interval of (0, 1), b(x) is negative and is also decreasing and so this option is correct.

Read more at; https://brainly.com/question/3451906

What are all the ways I could factor the expression 32t - 48?

Answers

Answer:

take out 16 from both 32 and 48

Step-by-step explanation:

you'll get 16(2t-3)

Answer:

2(16t-24)

Step-by-step explanation:

2(16t-24)

32t-24

hope it's helpful ❤❤❤❤

THANK YOU.

Work out 23% of 42.
Give your answer correct to 1 decimal place.

Answers

23% x 42
reduce the numbers
23/100 x 42
you then calculate
23/50 x21 the answer will be 483/50 and in decimal point it’s 9.66

The value of 23 % of 42 is 9.7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be A = 42

Now , let the percentage of the number A = 23 %

And , the equation will be

The 23 % of the number be = y

So , y = 23 % of 42

And , the equation is

y = ( 23 / 100 ) x 42

y = 0.23 x 42

On simplifying the equation , we get

y = 9.66

y ≈ 9.7

Therefore, the value of y is 9.7

Hence , The value of 23 % of 42 is 9.7

To learn more about equations click :

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WILL GIVE BRAINLIEST TO CORRECT ANSWER
Which best describes the association shown in the scatter plot?
A. no association
B. strong positive
C. moderate positive
D. strong negative

Answers

Answer:

D strong negative

Step-by-step explanation:

whats 3472532*67 then divided by 3? Thank you! -Ibuki

Answers

Answer:

77,553,214.66666667

Step-by-step explanation:

calculater

Answer:

77553214 2/3

Step-by-step explanation:

i squeezed out the baby yet i have no idea who the father is

Question 4(Multiple Choice Worth 4 points)
(05.05 MC)

Make a conditional relative frequency table for the columns of movie type. Determine which statement has the strongest association.


Do you prefer watching a comedy, a drama, or a thriller movie?
Comedy Drama Thriller Row Totals
Males 40 23 56 119
Females 21 45 18 84
Column Totals 61 68 74 203
Females prefer drama movies.
Males prefer comedy movies.
Males prefer thriller movies.
Females prefer comedy movies.

Answers

Answer:

C. Males Prefer thriller movies. I'm pretty sure. I'd need the photo.

Step-by-step explanation:

If you look at the graph you'll see that 56 males like thriller while only 18 of women like it. These two data points have a difference of 38, making it the largest difference than any other category, therefore, its the strongest.  

The females who prefer drama movies has the strongest association option (A) Females who prefer drama movies is correct.

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total the equency cell to total frequency.

We have:

A conditional relative frequency is given:

From the data:

Probability of Females preferring drama movies :

= n(Females who prefer drama)/n(females )

= 45/84 = 0.53

Probability of  Males preferring comedy movies :

n(males who prefer comedy) / n(males)

= 40/119 = 0.33

The probability of Males prefers thriller movies.

n(males who prefer prefer thriller ) / n(males)

= 56/119 = 0.47

The probability of Females prefers thriller movies.

n(females who prefer prefer thriller ) / n(females)

= 18/84 = 0.21

Thus, the females who prefer drama movies has the strongest association option (A) Females who prefer drama movies is correct.

Learn more about the conditional relative frequency here:

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A shoe sales associate earned $300 in November. In December she earned 8% more than she did in November. How much she earn in December? *

Answers

Answer:

$324.00

Step-by-step explanation:

Increase the number by 8% of its value.

Percentage increase = 8% × 300

New value =

300 + Percentage increase =

300 + (8% × 300) =

300 + 8% × 300 =

(1 + 8%) × 300 =

(100% + 8%) × 300 =

108% × 300 =

108 ÷ 100 × 300 =

108 × 300 ÷ 100 =

32,400 ÷ 100 =

324

$24.. 8% of $300 equals 24 so the associate made $324 dollars in December. 24+300=324

What is the surface area, in square feet, of the toy box?

Answers

Answer:

Step-by-step explanation:

Surface area = 2 * 11 * 7 +  7*12 +  2*12 *11

                     = 154 + 84 + 264

                      = 502 ft²

Select expression that is equivalent to the one below
-8x-6

A.2(4x-4)
B.-4-2+5x-13x
C.-11x+2+3x-4
D.6-7x+x

Answers

A. 2(4x-4)= 8x-8 false❌
B. -4-2+5x-13x = -6-8x = -8x-6 true✅
C. -11x+2+3x-4 = -8x-2 false❌
D. 6-7x+x = 6-6x false❌


correct answer B
hope this helps
The answer is B
-13x and 5x combine to get -8x
-4 and -2 combine to get -6

PLEASE HURRY PLEASE I WILL MARK BRAINLIEST!!!!!!!

Answers

Step-by-step explanation:

the first , second one and the last one

[tex] - 7 \frac{3}{4}x - 7(3) \\ 7( - \frac{3}{4} x) - 7(3) \\ - 5 \frac{1}{4} - 21[/tex]

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