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3 years ago

5

The segment with endpoints (0,8) and (−6,0) is dilated to a segment with endpoints (0, 6) and (−4.5,0). What is the scale factor

of the dilation?

1 answer:

sergiy2304 [10]3 years ago

5 0

I think it would be 4/3 because when you multiply 8 by 4/3 you get 6 and when you multiply-6 by 4/3 you get -4.5 so

4/3

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Can any one help with me this one please

goblinko [34]

Answer:

∠ e = 40°

Step-by-step explanation:

Since Δ ABC and Δ EDC are congruent then corresponding angles are congruent, that is

∠ A = ∠ E = 40°

8 0

3 years ago

Each pair of polygons below is similar. Find the value of x. Some answers may be decimals.

sergiy2304 [10]

Answer:

The answer to your question is below.

Step-by-step explanation:

14.- Use proportions to solve these problems.

$\frac{x + 6}{10} = \frac{x + 9}{14}$

14(x + 6) = 10(x + 9)

14x + 84 = 10x + 90

14x - 10x = 90 - 84

4x = 6

x = 6/4

x = 3/2

15.- $\frac{x - 1}{8} = \frac{x + 2}{10}$

10(x - 1) = 8(x + 2)

10x - 10 = 8x + 16

10x - 8x = 16 + 10

2x = 26

x = 26 / 2

x = 13

16.- $\frac{x + 1}{9} = \frac{10/3}{5}$

5(x + 1) = 9(10/3)

5x + 5 = 30

5x = 30 - 5

5x = 25

x = 25 / 5

x = 5

7 0

3 years ago

Read 2 more answers

1. If 5x + 6 = 10, what is the value of 10x + 3?

Digiron [165]

Here the question is simple.
All because, we only need to find the value of x.
We are given two equations.
5x + 6 = 10 and 10x + 3 =?
So, we will find the the value of x in the first equation, so that we can substitute the value of x in the second one and there we are with the answer.
5x + 6 = 10
For finding the value of x, all we have to do is,
Transpose the number 6 to 10
Therefore. 5x = 10 - 6 ( Take the equal sign as The Magic Bridge on which if anyone crosses it , will change its sign.)
So we have,
5x = 4
So x = 4/5 ( Multiplication will change to division after crossing the equal sign)
( Doubtful? Substitute the value of x and try!)
Now that we got the value of x,
We can just simply substitute the value of x in the second equation.
10x + 3 = ?
x = 4/5
10*4/5 +3 => 5 and 10 get canceled to 2 at the numerator.
By normal multiplication and then addition, we will get,
8 + 3 = 11
Hope this helps!!!! :)

6 0

3 years ago

Read 2 more answers

Alla [95]

$\bf \begin{array}{clclll}
3^{1001}&\qquad &4^{1002}\\
\uparrow &&\uparrow \\
a&&b
\end{array}\\\\
-----------------------------\\\\
(a+b)^2-(a-b)^2\implies (a^2+2ab+b^2)-(a^2-2ab+b^2)
\\\\\\
a^2+2ab+b^2-a^2+2ab-b^2\implies 2ab+2ab\implies 4ab
\\\\\\
now\qquad 4(3^{1001})(4^{1002})=k12^{1001}\qquad 
\begin{cases}
12^{1001}\\
(4\cdot 3)^{1001}\\
4^{1001}\cdot 3^{1001}
\end{cases}$

$\bf \\\\\\
4(3^{1001})(4^{1002})=k(4^{1001}\cdot 3^{1001})\implies \cfrac{4(3^{1001})(4^{1002})}{4^{1001}\cdot 3^{1001}}=k
\\\\\\
4\cdot \cfrac{3^{1001}}{3^{1001}}\cdot \cfrac{4^{1002}}{4^{1001}}=k\implies 4\cdot 4^{1002}4^{-1001}=k\impliedby 
\begin{array}{llll}
\textit{same base}\\
\textit{add the}\\
exponents
\end{array}
\\\\\\
4\cdot 4^{1002-1001}=k\implies 4\cdot 4^1=k\implies 16=k$

6 0

3 years ago

Given the figures are similar, calculate the perimeter of the ABCDE.

Vsevolod [243]

Let the length of side AB be $x$, then

$\cfrac{x}{2}=\cfrac{12}{4}\Rightarrow4x=24\Rightarrow x=\cfrac{24}{4}=6.$

Therefore, the perimeter of ABCDE is 2(12) + 2(4) + 6 = 24 + 8 + 6 = 38 in.

7 0

3 years ago