The right triangle shown below is formed by joining three squares at their vertices. What is the value of x , the side length of the smallest square?

Answer:

[tex]\dfrac{a+b+c}{a} =7[/tex]

Step-by-step explanation:

Given :-

And we need to prove that ,

So let us assume that ,

[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k[/tex]

Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,

[tex]\implies a + b = 3k \quad \dots (i) [/tex]

Similarly we can say that ,

[tex]\implies c + b = 6k \quad \dots (ii)[/tex]

[tex]\implies a + c = 5k\quad \dots (iii) [/tex]

Subtracting (i) and (ii) :-

Adding (iv) and (iii) :-

[tex]\implies 2c = 4k [/tex]

[tex]\implies \boxed{c = 4k }[/tex]

Put this is (ii) :-

[tex]\implies b +4k = 6k [/tex]

[tex]\implies \boxed{b= 2k }[/tex]

Similarly we will get ,

[tex]\implies \boxed{a = k }[/tex]

Proving the given equation :-

[tex]\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}[/tex]

Hence proved !

Answer: 6 rooms

Step-by-step explanation:

3/8 rolls of wire are needed to wire a room in a house. If there are a total of 2¹/₄ rolls of wires, the number of rooms that could be wired is:

First convert to an improper fraction:

2¹/₄ = 9/4 rolls of wire

Total number of rooms that can be wired are:

= Total amount of wire available / Wires per room

= 9/4 ÷ 3/8

= 9/4 * 8/3

= 72 / 12

= 6 rooms

Hi there!

»»————-　★　————-««

I believe your answer is:  

X - Intercept: (-9, 0)

Y - Intercept: (0, -6)

»»————-　★　————-««

Here’s why:

The x and y-intercepts of a line is where a given function intercepts the x or y axes.

I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).

Therefore:

[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]

See the graph attached below!

»»————-　★　————-««

Another way to solve this problem is to do this algebraically.

[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]

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

[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Please check explanations

Step-by-step explanation:

Here, we want to describe transformation

As we can see, we added a value to the initial x and subtracted a value from the initial y

By adding to the initial x value, we are simply moving towards the right of the coordinate plane i.e we move towards the positive x axis

for the y axis value, we made a subtraction

what this mean is that we are actually going towards the negative y axis

So we move right on the positive x axis and move downwards to the negative y axis

Answer:

1. counting principle

Step-by-step explanation:

-----

I got chu UwU, the answer is B cause it is smaller

Answer:

4m^2np^2√3n

Step-by-step explanation:

Answer: 169 more?

Step-by-step explanation: I multiplied 13x13 and got 169

Answer:

$137.75

Step-by-step explanation:

question is 'what is 5.8% of 2375'

'what' means assign a variable

'is' means an equal sign

'of' means to multiply

p = .058 x 2375

p = 137.75

*You could do the following:  p = 5.8 x 2375 and get 13775 but you have to remember to move the decimal point two places to the left

Answer:

The image of the window can be seen below:

In the image we can see that the window can be separated in:

One rectangle of 4ft by 5 ft

Two half-circles (that if we add we get a complete circle) of diameter D = 4in.

First, we know that for a rectangle of length L and width W, the area is:

A = L*W

Then the area of our rectangle is:

A = 4ft*5ft = 20ft^2

And for a circle of diameter D, the area is:

A' = 3.14*(D/2)^2

In this case we have D = 4in, then the area of the circle (that we get when we add the areas of the two half-circles) is:

A' = 3.14*(4ft/2)^2 = 3.14*4 ft^2 = 12.56 ft^2

Then the total area of the window is:

Area = A + A' = 20 ft^2 + 12.56 ft^2 = 32.56 ft^2

And we know that each square foot of glass costs $12, then  32.56 square foots of glass will cost  32.56 times $12

Then the total cost is:

C = 32.56*$12 = $390.72

Answer:

7.5%

Step-by-step explanation:

Cost of memory card including tax = $138.89

Cost of memory card only = $129.20.

Cost of tax on memory card = Cost of memory card including tax - Cost of memory card only

= $138.89 - $129.20

= $9.69

Cost of tax on memory card = $9.69

What percent sales tax did he pay.

Percent of tax = Cost of tax on memory card / Cost of memory card only

= $9.69 / $129.20 × 100

= 0.075 × 100

= 7.5%

Percent of tax = 7.5%

Answer:

14.4 is the value of x in the nearest tenth

Step-by-step explanation:

c^2=a^2+b^2

Answer:

x=3

Step-by-step explanation:

firstly this equation isn't possible without it equaling to something. I set it equal to zero and got x=3.

EX:

(x-3)^(3)=0

Answer:65

Step-by-step explanation:

Answer:

Your answer is C

Step-by-step explanation:

You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.

Answer:

16277.76 in

Step-by-step explanation:

area

[tex]\pi \times {72}^{2} [/tex]

A clock has 12 hours on it.

360/12 = 30

Each hour is 30 degrees.

3pm to 7:30pm is 4.5 hours

Multiply total hours by degrees per hour:

4.5 x 30 = 135 degrees

Answer:

135 degree

Step-by-step explanation:

difference of 3pm to 7:30 is 4 hrs 30 min

12hrs=360degree

60min=360degree

4×360/12

=120

360/12×60×30

360×30÷720

15

now

120+15

135degree

Given:

Original price = $145.00

Final cost = $152.25

To find:

The percent of tax.

Solution:

The formula for tax is:

Tax = Final cost - Original price

[tex]\text{Tax}=\$152.25-\$145.00[/tex]

[tex]\text{Tax}=\$7.25[/tex]

Formula for tax percentage is:

[tex]\text{Tax percent}=\dfrac{\text{Tax}}{\text{Original price}}\times 100[/tex]

[tex]\text{Tax percent}=\dfrac{7.25}{145.00}\times 100[/tex]

[tex]\text{Tax percent}=\dfrac{725.00}{145.00}[/tex]

[tex]\text{Tax percent}=5[/tex]

Therefore, the percent of tax is 5%.

Answer:

answer is

3(3y+4) + 2y = -21 .

Answer:

2. 7238.23 mm

3. 55.42 ft

4. 703.86 ft

Step-by-step explanation:

Answer:

1. 7234.56mm^2 2. 55.39ft^2 3. 706.5ft^2

Answer:

its the first one those lines are just going to make it posotive basically so its true

Answer:

f = 2

Step-by-step explanation:

equate the log

therefore,

2f + 4 = 14 - 3f

collect like terms

2f + 3f = 14 - 4

5f = 10

divide through by 5

f = 10/5

f = 2

As x increasing y decreases.

As x decreases, y increases.

Please mark as the brainliest.

Hope it helps you.

Thank You

Answer:

5040

Step-by-step explanation:

-1 × -2 × -3 × -4 × -5 × -6 × -7 × -8 = 40320

40320 ÷ 8 = 5040

(not 100% sure this is right)

Answer:

c

Step-by-step explanation:

Answer:

C. 5*5*5*5

Step-by-step explanation:

Answer:

In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.

Step-by-step explanation:

Stay Safe <3 =3 Can I maybe Get Brainliest?