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Neko [114]
3 years ago
12

ABC has been translated 5 units to the right, as shown in the diagram. What is the length of ?

Mathematics
1 answer:
BARSIC [14]3 years ago
6 0

Answer:

(A) 15 centimeters

Step-by-step explanation:

A midsegment of a triangle is always 2 things:

Half the size of the bottom of the triangle (in this case AC)

Parallel to the bottom of the triangle.

Since ABC is an equilateral triangle, we know that EVERY side is 30cm, including AC.

So the midsegment of ABC, LM, must be 15 cm.

Hope this helped!

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Find the quotient 9 3/5 divided 8/15
Whitepunk [10]
The answer is 81/8
Alternative Forms:
10 1/8 or 10.125
4 0
3 years ago
What is the ordered pair solution for y>= 1/3x+4
blondinia [14]

Answer:

Step-by-step explanation:

y > (1/3)x + 4 has an infinite number of solutions.  Draw a dashed line representing y = (1/3)x + 4 and then pick points at random on either side of this line.  For example, pick (1, 6).  Substitute 1 for x in y > (1/3)x + 4 and 6 for y.  Is the resulting inequality true?  Is 6 > (1/3)(1) + 4 true?  YES.  So we know that (1, 6) is a solution of y > (1/3)x + 4.  Because (1, 6) lies ABOVE the line y = (1/3)x + 4, we can conclude that all points abovve this line are solutions.

6 0
3 years ago
Consider the equation n2+5=21.
lesya692 [45]

Step-by-step explanation:

n2+5=21

n2 =21-5

n2 = 16

n =16/2=8

6 0
3 years ago
what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
kramer

Answer:

P(x \le 21) = 0.69146

Step-by-step explanation:

The missing parameters are:

n = 64 --- population

\mu = 20 --- population mean

\sigma = 16 -- population standard deviation

Required

P(x \le 21)

First, calculate the sample standard deviation

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{16}{\sqrt {64}}

\sigma_x = \frac{16}{8}

\sigma_x = 2

Next, calculate the sample mean \bar_x

\bar x = \mu

So:

\bar x = 20

So, we have:

\sigma_x = 2

\bar x = 20

x = 21

Calculate the z score

x = \frac{x - \mu}{\sigma}

x = \frac{21 - 20}{2}

x = \frac{1}{2}

x = 0.50

So, we have:

P(x \le 21) = P(z \le 0.50)

From the z table

P(z \le 0.50) = 0.69146

So:

P(x \le 21) = 0.69146

4 0
3 years ago
Which has a mass of about 10 kilograms?<br><br> Watermelon<br> Pencil<br> Car<br> Apple
Zolol [24]

Answer:

watermelon ..........................................

8 0
2 years ago
Read 2 more answers
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