Solve For X. Solve similar triangles (advanced)​

Given:

The figure of a right angle triangle.

To find:

The value of x using geometric mean.

Solution:

According to the geometric mean altitude theorem, if an altitude h divides the hypotenuse in two parts a and b, then

[tex]\dfrac{a}{h}=\dfrac{h}{b}[/tex]

Let attitude from A touches the hypotenuse at point D.

Using this in the given triangle, we get

[tex]\dfrac{BD}{AD}=\dfrac{AD}{CD}[/tex]

[tex]\dfrac{12}{x}=\dfrac{x}{3}[/tex]

[tex]12\times 3=x^2[/tex]

[tex]36=x^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{36}=x[/tex]

[tex]\pm 6=x[/tex]

Side cannot be negative. Therefore, the only value of x is 6.

Answer:

13.75 divided by 4/5

Step-by-step explanation:

hope this helped :)

Answer:

the length=2.3m and breath=90cm find the perimeter and area of rectangle

Step-by-step explanation:

Answer:

the answer is A.

Step-by-step explanation:

Answer:

Slope(m)=2x

y-intercept(b)=3

Step-by-step explanation:

Answer:

Slope is -2x, Y-Intercept is 3

Step-by-step explanation:

You need to isolate the "y" to get the answer, all you need to do is subtract the "2x" from both sides

Answer:

The answer for this proportion is 6/10 ft

Answer:

its y= -0.3(x-2)^2-5

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

9/12=x/12

9*12=108

108/2=54

Answer:

54

Step-by-step explanation:

2 times 5= 12

9 times 6= 54

so 9/2=54/12

Answer:C

Step-by-step explanation: (150,158,166,174,...)

Answer:

c

Step-by-step explanation:

it just is

Answer:

16 cm, side = 9 cm, side = 8 cm

Step-by-step explanation:

Answer:

$2326

Step-by-step explanation:

I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?

To solve the above question, we have:

$43,000 = $1000

$100,000 = x

Cross Multiply

43000 × x = 100,000 × 1000

x = 100000 × 1000/43000

x = $2325.5813953

Approximately = $2326

Therefore, If the coin reaches $100000 you would have invested $2326

Answer:11/6

Step-by-step explanation: hope it helped if it dint tell me what exactly what i need to do and ill do it :)

Answer:

I am not sure what you are asking for

Step-by-step explanation:

1 5/6 already is the mixed fraction, if you meant to put 1 5/6 as an improper fraction your answer would be 11/6.

Or if you possibly meant 15/6 as a mixed fraction your answer would be 2 3/6

If this is not the answer you were looking for, please correct me so I can help you out.

Answer:

15 boys

Step-by-step explanation:

About 0.2of all the students in the fifth grade are boys. If the fifth grade has ​75 students, how many of the students are ​boys?

The number of boys can be calculated as:

0.2 × Number of fifth grade students

Number of fifth grade students = 75 students

Therefore,

The number of boys =

0.2 × 75 students = 15

The number of boys = 15 boys

Answer:D  1017

Step-by-step explanation:

Answer:

a and c

Step-by-step explanation:

10 and 68 is 2 and 78 and 84 is 6

Answer:

Jill's maximum possible PPP loan amount is $2,500

Step-by-step explanation:

The given parameters of the PPP loan application applied to by Jill is as follows;

Jill submits her 2019 IRS Form Schedule C with Gross Sales = $36,000

The net profit loss = $12,000

Therefore, Jill's monthly average net profit = $12,000 ÷ 12 = $1,000

Jill's PPP loan amount = 2.5 × Her monthly net profit

∴ Jill's maximum possible PPP loan amount = 2.5 × $1,000 = $2,500

Jill's maximum possible PPP loan amount = $2,500

By the interior angle theorem of triangles, the value of x is 5°.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of the interior angles in a triangle is 180°.

Given, In a triangle DEF the measure of angle D is 50⁰, the measure of angle E is 80⁰, and the measure of angle F is 10x .

Therefore, m∠D + m∠E + m∠F = 180°.

50° + 80° + 10x = 180°.

10x = 180° - 130°.

10x = 50°.

x = 5°.

So, The value of x is 5°.

learn more about triangles here ;

https://brainly.com/question/2773823

#SPJ5

Answer:

p=-6

Step-by-step explanation:

2p-3p-p=9-15-6

or, -2p= -12

or, p= -12/-2

or, p= -6

Answer:

x = -5/2

Step-by-step explanation:

Answer: 15%

Step-by-step explanation:

The usual price is $80.

This week however, the set sold for $12 less than this usual price of $80.

Savings therefore are $12 because people save $12 by buying it at $12 off.

Percentage of usual price:

= Savings / Usual price * 100%

= 12 / 80 * 100%

= 0.15 * 100

= 15%

Answer:

the fist u cant simply is it will be x - 2

second is 14x-28

Step-by-step explanation:

Answer:

x = 0.06 if 3 is over 2x

Step-by-step explanation:

Answer:

[tex]\frac{4^{2} }{2^{2} }[/tex] = 4

(8-4)x4 = [tex]4^{2}[/tex]

[tex]2^{2} +2^{2}[/tex] = 8

Step-by-step explanation:

To solve the first one simplify the exponents and then divide them; [tex]4^{2}[/tex] equals 16 and [tex]2^{2}[/tex] equals 4. Therefore the expression is 16/4, which equals 4.

Follow PEMDAS to solve the next one. First paratheses, (8-4) equals 4. Then, multiply by 4. 4x4 can also be rewritten as [tex]4^{2}[/tex].

Simplify the exponents to solve the last expression. [tex]2^{2}[/tex] is 4, so the expression is equal to 4+4, which is 8.

Answer:

X= 24+7/8 | Y=  24-8x

Steps for answers:

For X:

1. Add y to both sides.

-8x=24+y

2. Divide both sides by -8.

x=-24+y/8

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

For Y:

​1. Add 8x to both sides.

-y=24+8x

2. Multiply both sides by -1.

y=-24-8x

Done by NeighborhoodDealer :