Is y=1/2x-2 a function

Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

3 0

2 years ago

P=4k-10 p=50 wout out the value of k

kenny6666 [7]

P = 4k - 10

subtitute p = 50 to the equation:

50 = 4k - 10
4k - 10 = 50 |add 10 to the both sides
4k = 60 |divide both sides by 4

k = 15

3 0

3 years ago

ben owns a older american truck. The odometer shows distance travelled in miles. On a recent trip to deliver produce for his emp

expeople1 [14]

Answer:

$2,239.66

Step-by-step explanation:

To find the amount of reimbursement, convert miles to km by multiplying 1564 by 1.609 since 1 mile = 1.609 km.

He drive 1564(1.609)=2,516.476 km.

Multiply this distance by $0.89 per km.

2516.476(0.89)=$2,239.66

3 0

4 years ago

When NB = 12 ft, find the area of the region that is NOT shaded. Round to the nearest tenth.

Alborosie

If this item has the same picture on the same question posted before, the following will be the data.

Given: NB = 12 ft, Angle-120°
Asked: area of the region that is not shaded.
Substitute the given values in the equation in finding the area of a circle.
A = πr²
A = ⅔π(12 ft)² 
A = 96π ft²
(Since 120° is 1/3 of the circle. it is then understood that the unshaded parts must be 2/3 of the circle.)
Since you already have the area, find the area of the triangle to add it to the area of the circle to find the area of the unshaded part. By using a handy trigonometry, you can tell that their will be 2 triangles of 12 ft (if you are going to divide 120° angle). From this, you'll see that there will be one of the smaller triangles having a the height of 6 ft and the base is 6√3 ft. Substitute the values.
A = ½bh
A = ½(6 ft)(6√3 ft) * 2 
A = 36√3 ft²

Add them up and you will have the exact answer 96π + 36√3 ft², when rounded to the nearest tenth, you will have 364 ft².

6 0

3 years ago

Wahaj buys a pizza for rs 800.A week later,the same piza costs rs 900.When wahaj asks the manger for the reason ,he explain that

lions [1.4K]

Answer:

12.5%

Step-by-step explanation:

The price increased from 800 to 900. So what is the PERCENTAGE INCREASE??

The increase is 900 - 800 = 100

To find this in terms of original, we need to divide 100 by 800 and multiply by 100 to get the "percentage". Let's do it:

$\frac{100}{800}*100=12.5$

So the increase is 12.5% and thus the general sales tax is 12.5%

6 0

3 years ago