All categories

3 years ago

Is there a method that could prove that these two triangles are similar?

Mathematics

1 answer:

dalvyx [7]3 years ago

4 0

Answer:

A Yes, a sequence of dilations and rigid motions carries one triangle onto the other

Step-by-step explanation:

Since two angles are marked with the same measures in each triangle, the triangles are similar by the AA postulate with no further action.

By some accounts it seems to be necessary to lay one figure on top of the other to demonstrate similarity. In order to do that, the smaller triangle would need to be dilated and translated (a rigid motion) to make it occupy the same space as the larger triangle.

You might be interested in

What is the difference between domain and range?

alekssr [168]

Domain: all x values between the ends of a line on the x- axis

Range: all y values between the ends of a line on the y-axis

4 0

2 years ago

Together a refrigerator and a desk cost $216. Find the price of each if the refrigerator costs three times as much as the desk

zheka24 [161]

Refrigerator 162$ and desk cost 54

6 0

3 years ago

Read 2 more answers

What is the true solution to the equation below? In e^in x + in e^in x^2 = 2 in 8

mariarad [96]

To solve the given equation, w need to review some rules:
$(1) \ ln \ e = 1 \\ 
(2) \ ln \ b^{a} = a*ln \ b \\
(3) \ ln \ a + ln \ b = ln \ (ab) \\
(4) \ ln \ a - ln \ b = ln \ \frac{a}{b} \\$

The given equation is :
$ln \ e^{ln \ x} + ln \ e^{ln \ x^{2}} = 2 \ ln \ 8$
$ln \ x * ln \ e + ln \ x^{2} * ln \ e = 2 \ ln \ 8$ ⇒⇒⇒⇒ rule (2)
$ln \ x + ln \ x^{2} = ln \ 8^{2}$ ⇒⇒⇒⇒ rule (1) and rule (2)

$ln \ ( x* x^{2} ) = ln \ 64$ ⇒⇒⇒⇒ rule (3)
removing the nature logarithm from both sides

$x^{3} = 64 = 4^{3}$
∴ x = 4

So, the correct answer is option (2) ⇒⇒⇒⇒ x = 4

5 0

2 years ago

Read 2 more answers

Express £5 as a fraction of £4.

viktelen [127]

Answer:

£5/£4

Step-by-step explanation:

£5 over £4 can be expressed as a fraction.

⇒ £5/£4

7 0

2 years ago

Read 2 more answers

HELP PLEASE????????????????????

lora16 [44]

Answer:

20x - 8

Step-by-step explanation:

Since we have the length and height of the rectangle we just multiply each by 2. This is because the length is the same on both sides and the height is too. The equation would look like this:

(5x-4 + 5x -4) + (5x +5x) = 10x -8 + 10 x = 20x -8

5 0

2 years ago

Read 2 more answers