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Lerok [7]
3 years ago
13

Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?​

Mathematics
1 answer:
pantera1 [17]3 years ago
8 0

Answer:

A)

Step-by-step explanation:

In the first image, AC=13, and in the second image, DE=26. so basically, every measurement is simply doubled.

12(2)= 24, DE=24

5(2)=10, EF= 10

Let me know if you need further explanation!

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In factored form please help
Brilliant_brown [7]

Answer:

3rd option

Step-by-step explanation:

\frac{3x^2-3}{x^2-5x+4} ( factorise numerator and denominator )

3x² - 3 ← factor out 3 from each term

= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 1

= x² - 1²

= (x - 1)(x + 1) , then

3x² - 3 = 3²(x - 1)(x + 1) ← in factored form

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

x² - 5x + 4

consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

x² - 5x + 4 = (x - 1)(x - 4)

then

\frac{3x^2-3}{x^2-5x+4} = \frac{3(x-1)(x+1)}{(x-1)(x-4)} ← in factored form

3 0
1 year ago
At which one of the following times is the angle between the hands of a clock exactly one straight angle? a)12:00 b)12:30 b)3:45
Marta_Voda [28]
12:00 will have both hands pointing up
12:30 will have the straight line at the half past part but it will not be exactly on the 12
3:45 it will be past the 3 and exactly on 45 so it will not work
And 6:00 will be a straight line as one hand will be at the 12 and and it will be straight on the 6 as it is on the hour so the answer is d
6 0
3 years ago
The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 6 inches. If the length must
love history [14]
H = x, L = 1.5 x;  
L + W + H = 6
x + 1.5 x + W = 6
W = 6 - 2.5 x
Dimensions of the camera in terms of x:
x,  1.5 x,  6 - 2.5 x.
V = L x W x H
V = x * 1.5 x * ( 6 - 2.5 x ) = 9 x² - 3.75 x³
V ` = 18 x - 11.25 x² ( V max is when V` = 0 )
18 x - 11.25 x² = 0
x ( 18 - 11.25 x ) = 0
11.25 x = 18
x = 18 : 11.25
x = 1.6
The dimensions are:
L = 2.4
W = 2.0
H = 1.6
4 0
3 years ago
What is the value of X?
Luda [366]
They making me type 20 things but ima day its 72 cuh
6 0
3 years ago
3x + 2 y = 8<br> 5x + 2 y = 12<br> What is the solution of the system of equations shown above?
Arisa [49]

Answer:

x = -3

Step-by-step explanation:

First solve it:

Subtract the x's from both sides

2y = -3x +8

2y = -5x +2

Divide by two

y= -1.5x + 4

y = -2.5x +1

set them equal to each other:

-1.5x +4 = -2.5x +1

Add 2.5 x to both sides

1x +4 = 1

x +4 = 1

subtract 4 from both sides

x = -3

5 0
2 years ago
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