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3 years ago

What is the length of side ac of the triangle

Mathematics

1 answer:

Margarita [4]3 years ago

3 0

Answer:

AC = 25

Step-by-step explanation:

Since ∠A = ∠C then the triangle is isosceles, thus BC and AB are congruent, that is

BC = AB, substitute values

7x - 1 = 5x + 5 ( subtract 5x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Hence

AC = 6x + 7 = (6 × 3) + 7 = 18 + 7 = 25

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Need answer quick please! Thank you

Fantom [35]

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Hope this helps, and have a great day!

8 0

3 years ago

Read 2 more answers

Alona [7]

Answer:

The lower limit is 75.04

The upper limit is 78.96

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The sample mean is $\= x = 77$

The standard deviation is $\sigma = 5$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 0.05$

The critical value for $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96* \frac{5 }{\sqrt{25} }$

=> $E = 1.96$

The 95% confidence interval is mathematically represented as

$\= x -E < \mu < \= x +E$

=> $77 - 1.96 < \mu < 77 + 1.96$

=> $75.04 < \mu < 78.96$

7 0

3 years ago

una escalera de 12ft de longitud esta apoyada contra una pared, de modo que su base se encuentra a 4 ft de la pared a nivel del

Marrrta [24]

Answer:

Step-by-step explanation:

Altura = 11.312 pies

i) La escalera que descansa contra la pared formará un triángulo en ángulo recto.

ii) la escalera formará la hipotenusa del triángulo rectángulo dado por h = 12 pies.

iii) La base está dada por 4 pies.

iv) de la fórmula del triángulo en ángulo recto.

base = $altura = \sqrt{hipotenusa^{2}\hspace{0.15cm}- \hspace{0.15cm} base^{2} } = \sqrt{12^{2}\hspace{0.15cm} - \hspace{0.15cm}4^{2} } = \sqrt{144\hspace{0.15cm} - \hspace{0.15cm}16} = \sqrt{128} = \hspace{0.15cm}8\sqrt{2} = 8\times1.414 = 11.312 pies$