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3 years ago

If the length of AC equals 18, what is the length of the midsection DE

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

7 0

Answer:

The length of the midsegment is 9 ⇒ (B)

Step-by-step explanation:

In a triangle,

The midsegment is the segment which joining the midpoints of two opposite sides of it

The length of the midsegment is half the length of the third side in the triangle which opposite to it

<em>Let us use this rule to solve our question</em>

In Δ AC

∵ DE is the midsegment of it

∵ DE is opposite to the side AC

∴ The length of DE = 1/2 the length of AC

∵ The length of AC = 18

∴ The length of DE = 1/2 × 18

∴ The length of DE = 9

∴ The length of the midsegment is 9

The correct answer is B

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3 years ago

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xz_007 [3.2K]

Answer:

The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).

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Step-by-step explanation:

We have to calculate a 80% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

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When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{0.078}{\sqrt{25}}=\dfrac{0.078}{5}=0.016$

The degrees of freedom for this sample size are:

$df=n-1=25-1=24$

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.

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3 years ago

Answer the question below

lys-0071 [83]

Answer:

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Step-by-step explanation:

$\frac{3 + 2\sqrt{5} }{2\sqrt{5}-3 } \\$

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Therefore,

$\frac{3+ 2\sqrt{5} }{-(3 + 2\sqrt{5} )} \\$

We can cancel out 3 + 2√5 both in the numerator and the denominator. So we get

= 1/-1

= -1

Answer : A) -1

Thank you.

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3 years ago

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Natali5045456 [20]

Good morning from Canada!

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3 years ago

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belka [17]

Answer:

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Step-by-step explanation:

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