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vova2212 [387]
3 years ago
7

Given: ΔXYZ AB is a midsegment parallel to XY. The slope of AB is 2 3 . What is the slope of XY?

Mathematics
2 answers:
stich3 [128]3 years ago
5 0
The slope of XY is the same as the slope of AB because XY is parallel to AB. Parallel lines have the same slope. 
bazaltina [42]3 years ago
5 0

Answer: The answer is 23.

Step-by-step explanation:  As given in the question and shown in the attached figure, XYZ is a triangle where AB is a mid-segment parallel to the side XY and the slope of AB is 23 . We are to find the slope of XY.

Since the segment AB is parallel to the side XY, and we know that the slopes of two parallel lines are always equal, therefore the slope of XY will be equal to the slope of AB.

The slope of AB is 23, so the slope of XY is also 23.

Thus, 23 is the answer.

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From a point at the waters edge, a bridge arch 53 m away has an angle of elevation of 30, and the top of a yacht mast 14 m away
Arte-miy333 [17]

Answer:

Yes

Step-by-step explanation:

We don't  even have to do a calculation.  

The arch of the bridge is at point C.

The top of the yacht's mast is at E.

Even though the yacht is much closer to the water's edge, its mast has a much smaller angle of elevation.

The yacht can easily pass under the bridge.

3 0
3 years ago
If you divide the total distance traveled on a car trip (as determined by the odometer) by the elapsed time of the trip, are you
PSYCHO15rus [73]

In general, you're calculating the magnitude of average velocity. In fact, speed is a vector, and as such it also has a direction and orientation.

So, if you compute the average speed, you're assuming that you went directly from point A to point B, which is basically never the case.

If, instead, you actually moved on a straight line from point A to point B, then the two quantities are the same.

7 0
3 years ago
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested.1 The seller announced that t
Usimov [2.4K]

Answer:

0.4

Step-by-step explanation:

Given:-

- The uniform distribution parameters are as follows:

                      a = $10,000       b = $15,000

Find:-

Suppose you bid $12,000. What is the probability that your bid will be accepted?

Solution:-

- We will denote a random variable X that defines the bid placed being accepted. The variable X follows a uniform distribution with parameters [a,b].

                                 X ~ U(10,000 , 15,000)

- The probability of $12,000 bid being accepted can be determined by the cdf function of the uniform distribution, while the pmf is as follows:

                                Pmf = 1 / ( b - a )

                                Pmf = 1 / ( 15,000 - 10,000 )

                                Pmf = 1 / ( 5,000 )

                                cdf = \int\limits^x_a {\frac{1}{5000} } \, dy \\\\cdf =  {\frac{y}{5000} }\limits^x_a \\\\P(X

6 0
3 years ago
Which points lie on the graph of f(x) = logor?
Mariana [72]

Answer:

9.1

Step-by-step explanation:

cus I seen it on usatesprep

8 0
3 years ago
What is the value of the expression?
deff fn [24]

Answer:

13/6

Step-by-step explanation:

1 Simplify  \sqrt{8}

8

​

  to  2\sqrt{2}2

2

​

.

\frac{2}{6\times 2\sqrt{2}}\sqrt{2}-(-\frac{18}{\sqrt{81}})

6×2

2

​

2

​

 

2

​

−(−

81

​

18

​

)

2 Simplify  6\times 2\sqrt{2}6×2

2

​

  to  12\sqrt{2}12

2

​

.

\frac{2}{12\sqrt{2}}\sqrt{2}-(-\frac{18}{\sqrt{81}})

12

2

​

2

​

 

2

​

−(−

81

​

18

​

)

3 Since 9\times 9=819×9=81, the square root of 8181 is 99.

\frac{2}{12\sqrt{2}}\sqrt{2}-(-\frac{18}{9})

12

2

​

2

​

 

2

​

−(−

9

18

​

)

4 Simplify  \frac{18}{9}

9

18

​

  to  22.

\frac{2}{12\sqrt{2}}\sqrt{2}-(-2)

12

2

​

2

​

 

2

​

−(−2)

5 Rationalize the denominator: \frac{2}{12\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{2\sqrt{2}}{12\times 2}

12

2

​

2

​

⋅

2

​

2

​

​

=

12×2

2

2

​

​

.

\frac{2\sqrt{2}}{12\times 2}\sqrt{2}-(-2)

12×2

2

2

​

​

 

2

​

−(−2)

6 Simplify  12\times 212×2  to  2424.

\frac{2\sqrt{2}}{24}\sqrt{2}-(-2)

24

2

2

​

​

 

2

​

−(−2)

7 Simplify  \frac{2\sqrt{2}}{24}

24

2

2

​

​

  to  \frac{\sqrt{2}}{12}

12

2

​

​

.

\frac{\sqrt{2}}{12}\sqrt{2}-(-2)

12

2

​

​

 

2

​

−(−2)

8 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}

b

a

​

×c=

b

ac

​

.

\frac{\sqrt{2}\sqrt{2}}{12}-(-2)

12

2

​

 

2

​

​

−(−2)

9 Simplify  \sqrt{2}\sqrt{2}

2

​

 

2

​

  to  \sqrt{4}

4

​

.

\frac{\sqrt{4}}{12}-(-2)

12

4

​

​

−(−2)

10 Since 2\times 2=42×2=4, the square root of 44 is 22.

\frac{2}{12}-(-2)

12

2

​

−(−2)

11 Simplify  \frac{2}{12}

12

2

​

  to  \frac{1}{6}

6

1

​

.

\frac{1}{6}-(-2)

6

1

​

−(−2)

12 Remove parentheses.

\frac{1}{6}+2

6

1

​

+2

13 Simplify.

\frac{13}{6}

6

13

​

Done

4 0
1 year ago
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