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skelet666 [1.2K]
1 year ago
6

Use the following isosceles triangle to find valur of x and the length of ac.

Mathematics
1 answer:
marissa [1.9K]1 year ago
3 0

Given that the triangle is isosceles, we can say that AB = AC. Using the given expressions we can form the following equation.

\begin{gathered} AB=AC \\ 5x+8=7x-6 \end{gathered}

Let's solve for x.

\begin{gathered} 8+6=7x-5x \\ 14=2x \\ x=\frac{14}{2} \\ x=7 \end{gathered}

Once we have the value of the variable, we can find the length of AC.

\begin{gathered} AC=7x-6 \\ AC=7(7)-6 \\ AC=49-6 \\ AC=43 \end{gathered}<h2>Therefore, the length of AC is 43.</h2>
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1 song.........................$1.29

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4 years ago
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vampirchik [111]
X=33 and Y= 57



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7 0
3 years ago
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A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample
djyliett [7]

Answer: (0.10\ ,\ 0.18)

Step-by-step explanation:

According to the empirical rule, the 95% confidence interval for the true population proportion is given by :-

(p'-2\sigma_{p'}\ ,\ p'+2\sigma_{p'})

Given : . The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.

Then, the 95% confidence interval for the true proportion of adults who prefer e-books will be :-

(0.14-2(0.02)\ ,\ 0.14+2(0.02))\\\\=(0.14-0.04\ ,\ 0.14+0.04)\\\\=(0.10\ ,\ 0.18)

Hence, the 95% confidence interval for the true proportion of adults who prefer e-books= (0.10\ ,\ 0.18)

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3 years ago
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3 years ago
The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex
melomori [17]

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

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The vertex is (-5, 4), so a = -1.

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