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dedylja [7]
3 years ago
5

If XZ= 50, what are XY and YZ ? Exolain how to show work and how you got your answer.

Mathematics
1 answer:
zlopas [31]3 years ago
4 0
It's not clear where point Y is located. If Y is the midpoint, and Y is on line XZ, then we can say that XY = 25 and YZ = 25 (since Y cuts XZ in half; the two equal portions are XY and YZ)

I'm using the segment addition postulate XY+YZ = XZ

However, all of this is based on the assumption that Y is the midpoint and on line XZ. 
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Heather's class took a field trip to the science museum. They left school at 7:30 A.M. It took
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Answer:

10:30 A.M

Step-by-step explanation:

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2 years ago
What is the surface area of a triangular prism?​
Llana [10]

Answer:

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Step-by-step explanation:

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3 years ago
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Mazyrski [523]

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Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
Find the radius x of OC.<br> a) 4 <br> b) 6<br> c) 12<br> d) 12.8
Dahasolnce [82]

Answer:

the correct answer is 6..... option b

5 0
2 years ago
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