All categories

2 years ago

Solve similar triangles (advanced)

Mathematics

2 answers:

atroni [7]2 years ago

7 0

Answer:

Step-by-step explanation:

The corresponding sides of similar Δs are proportional.

ΔADE ~ ΔABC ⇒ $\frac{AD}{AB}$ = $\frac{DE}{BC}$ = $\frac{AE}{AC}$

AD = x + 8 ; DE = 8

AB = x ; BC = 6

$\frac{x+8}{x}$ = $\frac{8}{6}$ ⇔ 8x = 6(x + 8) ⇒ <em>x = 24</em>

tatiyna2 years ago

7 0

Answer:

Step-by-step explanation:

8 x + 8

8x = 6x + 48

8x - 6x = 48

2x = 48

x = 48/2

x = 24

You might be interested in

2d=a-b/b-c - solve for a

Readme [11.4K]

$2d=\frac{a-b}{b-c}\\\\\frac{a-b}{b-c}=2d\ \ \ \ \ |multiply\ both\ sides\ by\ (b-c)\\\\a-b=2d(b-c)\ \ \ \ |add\ "b"\ to\ both\ sides\\\\\boxed{a=2bd-2cd+b}$

7 0

3 years ago

Hey please I need help with this

saul85 [17]

Answer:

78.5

Step-by-step explanation:

This is because of the formula r^2pi since 5^2=25 and 25x3.14 it equal 78.5

8 0

2 years ago

You are biking to the park. After six minutes 40% of the distance still need to be traveled. How long does it take to bike to th

nikklg [1K]

Answer:

$y = (100-10x)\%$

It takes <em>10 minutes</em> to the park.

Step-by-step explanation:

Given that:

Time taken = 6 minutes

Distance left to be traveled = 40%

To find:

The equation to represent the distance $y$ , that still needs to be traveled after $x$ minutes.

Solution:

As per given statement, distance traveled in 6 minutes = 60%

We can say that:

Distance traveled each minute = $\frac{60\%}{6}$ = 10%

After 1 minute, distance traveled = 10%

Distance left = 100 - 10 = 90%

After 2 minutes, distance traveled = 20%

Distance left = 100 - 20 = 80%

After $x$ minutes, distance traveled = 10 $x$ %

Distance left, $y$ = (100 - 10 $x$ )%

Therefore, the equation is:

$y = (100-10x)\%$

Time taken by the bike to reach to the park can be found by putting $y$ = 0 (i.e. distance left to be traveled = 0)

$0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}$

8 0

2 years ago

Factor completely x2 + 25

Ganezh [65]

Answer:

(x - 5i)(x + 5i)

Step-by-step explanation:

Write this as x^2 + 25. Solving for x^2, we get x^2 = -25.

Recall that the square root of a negative number is an imaginary one. √(-25) equals ±5i (there are two roots, one positive and one negative).

Then x = ±5i.

In factored form, the given expression is (x - 5i)(x + 5i).

6 0

3 years ago

ASHLEY IS GOING ON A TRIP TO LONDON. SHE SAVED $100.00 IN SPENDING MONEY. WHEN SHE ARRIVES IN ENGLAND, SHE GOES TO A BANK TO CHA

Ilya [14]

Answer:

65.93

Step-by-step explanation:

Okay, first lets convert the money.

100 ÷ 1.43 = 69.9300699301 (69.93)

69.93 - 4 = 65.93

Ashley has 65.93 pounds.

Hope this helps! Brainliest would be appreciated. :)

4 0

2 years ago