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Scrat [10]
4 years ago
9

Given: A(0,0) B(0,3) C(4,0) D(0,6) and E(8,0) Prove:ABC~ADE

Mathematics
1 answer:
tester [92]4 years ago
7 0
ADE is 2 times ABC. 
A times 2 is 0,0 which is the same as A
B times 2 is 0,6 which is the same as D
C times 2 is 8,0 which is the same as E
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A side of a square is 10 cm longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimete
bija089 [108]

Here's the solution :

  • Side of the equilateral triangle = x

  • Side of square = x + 10

perimeter of equilateral triangle = 3 × x = 3x

perimeter of square = 4 × (x + 10)

now, according to above statement :

permission (square) = 3 × perimeter (triangle)

that is :

  • 4(x + 10)  = 3 \times 3x

  • 4x + 40 = 9x

  • 9x - 4x = 40

  • 5x = 40

  • x = 8

therefore, side of triangle = 8 cm

  • perimeter (triangle) = 8 × 3 = 24 cm

  • side of square = 8 + 10 = 18 cm

  • perimeter of square= 18 × 4 = 72 xm
3 0
3 years ago
Read 2 more answers
a park is shaped like a rectangle with a length 11 times its width w. what is a simplified expression for the distance between o
garik1379 [7]
Width = w
length = 11w
Pythagoras theorem
a^2 + b^2 = c^2
Let's say the width is a, the length is b, and the distance between corners (call it d) is c
w^2 + 11w^2 = d^2
Collect like terms,
12w^2 = d^2
Simply
12w = d
4 0
3 years ago
Read 2 more answers
If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).<br>​
kramer

Answer:

  • \boxed{ f\cdot{g}(x) = x {}^{3}  - x {}^{2}}

Step by step explanation:

Given that,

f(x) =  {x}^{2}

g(x) = x - 1

Solution:

Solving for (f•g)(x):

= f(x) \cdot g(x)

Now substitute the given values.

= x {}^{2}  \cdot(x - 1)

= x {}^{2} (x - 1)

Apply distributive property:

= (x ^{2}  \cdot x) - x {}^{2}  \cdot 1

  • \boxed{ f\cdot{g}(x) =  x {}^{3}  - x {}^{2}}

Hence,f•g(x) will be x {}^{3}  - x {}^{2}.

8 0
2 years ago
PLZ HELP DUE AT 12
aleksandrvk [35]

Answer:

The first one would be m^30n^20p^30  

And the second one would be a^2 / d^4  

Step-by-step explanation:

For 1, you have to multiply the inner exponents by the outer one so you get (m^12n^8) times (m^18n^12p^30). Then you mutiply the two together, so you add the exponents, where you get m^30n^20p^30.

For 2, since you're dividing, you have to subtract the exponents so you get a^2d^-4, but since you shouldn't have the negative you turn it into a^2 / d^4

Hope this helps :)

4 0
3 years ago
What is the Factor: 24x - 60
kozerog [31]
The answer is
12(2x-5)
good luckk
i hope i could help
6 0
3 years ago
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