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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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Zigmanuir [339]
(150*pi)/180= 2.617 radians
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2 years ago
How many different triangles can you make if you are given the measurements for two Angles and the length of a side that is not
nordsb [41]

Answer:

  c.  2

Step-by-step explanation:

Defining two angles of a triangle means you know the values of all of the angles. When all angles are known and the side opposite one of them is known, then the triangle is completely determined.

In this case, the angle opposite the given side can be either of the two given angles, so two triangles are possible.

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If the two angles have the same measure, then only one triangle is possible.

6 0
3 years ago
How do I convert these probs? into base 10 4120_7, A3B_12, WXYZ_36
natali 33 [55]

4120_7 = 4•7³ + 1•7² + 2•7¹ + 0•7⁰

4120_7 = 4•343 + 1•49 + 2•7 + 0•1

4120_7 = 1372 + 49 + 14

4120_7 = 1435

In base 12, we use the digits 0-9 as well as A for 10 and B for 11. So

A3B_12 = 10•12² + 3•12¹ + 11•12⁰

A3B_12 = 10•144 + 3•12 + 11•1

A3B_12 = 1440 + 36 + 11

A3B_12 = 1487

In base 36, we assign values between 10 and 35 to the letters A-Z, so that

WXYZ_36 = 32•36³ + 33•36² + 34•36¹ + 35•36⁰

WXYZ_36 = 32•46656 + 33•1296 + 34•36 + 35•1

WXYZ_36 = 1492992 + 42768 + 1224 + 35

WXYZ_36 = 1537019

7 0
2 years ago
How to do this question plz answer me step by step plzz ​
finlep [7]

Answer:

30, 85, 95, 150

Step-by-step explanation:

The angles of a quadrilateral add to 360

Let x be the smallest angle

x+55

x+65

x+120 are the other three angles

Add the 4 angles together and they sum to 360

x+x+55 x+65+ x+120 = 360

Combine like terms

4x+240 = 360

Subtract 240 from each side

4x+240-240 = 360 -240

4x = 120

Divide by 4

4x/4 = 120/4

x = 30

x+55= 30+55 = 85

x+65 = 30+65 = 95

x+120 = 30+120 = 150

7 0
3 years ago
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for
RSB [31]
L (water level) = -0.5 d (days) +34

Place 26 into the (L) variable and solve

26= -0.5 d + 34

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d=16
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2 years ago
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