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3 years ago

14

The condition proves that triangle ABC and triangle EFG are congruent by the SAS criterion. If AB does not equal EF the criterio

n for congruency is violated. In this situation angle C angle G

1 answer:

andrezito [222]3 years ago

5 0

If AB ≠ EF, the criterion for congruency is violated. In this situation, angle C angle G are not equal :
angle C ≠ angle G

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The sum of 5 consecutive even numbers is 100. What is the first number in this sequence?

gayaneshka [121]

Answer:

16

Step-by-step explanation:

Let's represent this with an equation, where x is the first number. The next number must be x+2, because it has to be even, not x+1, and the rest continue the same way:

x+(x+2)+(x+4)+(x+6)+(x+8) = 100

Solve for x.

5x+20 = 100

5x = 80

<u>x = 16</u>

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3 years ago

Find the midpoint of A and B where A has coordinates (2, 4)<br> and B has coordinates (-3, -9).

tatuchka [14]

Answer:

(-0.5,-2.5)

Step-by-step explanation:

(x1 + x2) / 2 = x midpoint
(y1 + y2) / 2 = y midpoint

<h3>X:</h3>

⇒ 2 + -3 = 5

⇒ 5 / 2 = -0.5

<h3>Y:</h3>

⇒ 4 + -9 = -5

⇒ -5 / 2 = -2.5

→ = (-0.5, -2.5)

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2 years ago

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3 years ago

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The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operat

vesna_86 [32]

The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

According to the statement

we have given that the duration of the trip is 2 hours and 15 minutes. And we have to how much standard deviation be reduced to increase the operational efficiency.

So, For this purpose, we know that the

Let X be the time taken to reach the resort. Then it is given that the

N (μ , σ).

Here μ is 2 hours then

μ = 2*60 = 120 minutes.

And

Let σ be the reduced standard deviation such that new distributions becomes N (μ , σ)

Then P ( x <135)

here 135 is the minute format of 2 hours and 15 min.

So,

P ( x <135) = 0.95

And

P [ (x -120 / σ) < (135 -120 / σ)] = 0.95

P [ Z < ( 15 / σ)] = 0.95

And after solving it the

σ = 9.22 min.

i.e. 12 - 9.22 = 2.88 min.

So, The 2.88 minutes have to reduce the standard deviation to increase the efficiency.

Learn more about Standard deviation here

brainly.com/question/475676

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes. The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation

#SPJ4

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1 year ago

Multiply the polynomials.<br> (7x2 + 5x + 7)(4x - 6)

ipn [44]

Answer:

28^(x^(3))-22x^(3)-2x-42

Step-by-step explanation:

This is what youll get when u multiply

8 0

2 years ago