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postnew [5]
2 years ago
13

Determine the length of CD. Show your work.

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

The length of line CD is 20. 9

<h3>How to determine the length</h3>

Note that triangle CDY is an isosceles triangle

Using the Pythagoras theorem

Hypotenuse square = opposite square + adjacent square

Hypotenuse = line CD

opposite = 20

Adjacent = 6

Substitute into equation

Line CD^2 = 20^2 + 6^2

Line CD^2 = 400 + 36

Line CD^2 = 436

Make line CD^2 subject by find the square root of the other side

Line CD = \sqrt{436}

Line CD = 20.9

Therefore, the length of line CD is 20. 9

Learn more about Pythagorean theorem here:

brainly.com/question/231802

#SPJ1

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Kamila [148]

Answer:

x-intercept (2,0) or x=2

y-intercept (0,-4)  or y=-4

Step-by-step explanation:

4x-2y>8

2x-y>4

2x-4>y

y<2x-4

y=2x-4

when y=0

2x=4

x=2

x-intercept is (2,0)

and y-intercept is (0,-4)

put x=0,y=0

0-0>8

or 0>8 which is not true. so (0,0) does not lie on the graph.

so graph lies  right of the line .

7 0
4 years ago
Solve for both systems: x + 5y = 7 and x + 3y = 1
klio [65]
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5 0
4 years ago
Read 2 more answers
Solve the simultaneous equations y=x-2 and y=3x+5
gizmo_the_mogwai [7]

Answer:

x = -7/2........y = -11/2

Step-by-step explanation:

..….................

Forgive me if wrong

6 0
3 years ago
Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,.to find the following:
Rasek [7]
a)\\\\&#10;a_{n+1}-a_n=d\\&#10;for\ n=1\\&#10;a_2-a_1=d\\&#10;d=3-1=2\ - difference\ between\ two\ consecutive\ terms\\\\&#10;b)\\&#10;a_n=a_1+(n-1)d\\&#10;n=101\\&#10;a_{101}=1+(101-1)*2\\&#10;a_{101}=1+100*2=200+1=201\\\\&#10;c)\\&#10;Sn=\frac{a_1+a_n}{2}*n\\&#10;n=20\\&#10;a_n=a_{20}=1+(20-1)*2=1+38=39\\&#10;Sn=\frac{1+39}{2}*20=400\ \ Sum\ of\ the\ first\ 20 \ numbers.
6 0
3 years ago
Evaluate
oee [108]

Answer:

-1

Step-by-step explanation:

-2+(-1)÷3

-2-1÷3

-3÷3

-1

3 0
3 years ago
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