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PSYCHO15rus [73]
3 years ago
12

15 points. What is the value of k?

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0

Answer:

k = 10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ZYM is an exterior angle of the triangle, thus

4k + 5 + 6k + 10 = 115, that is

10k + 15 = 115 ( subtract 15 from both sides )

10k = 100 ( divide both sides by 10 )

k = 10

Naddika [18.5K]3 years ago
7 0

Answer:

10

Step-by-step explanation:

< = angle

Step 1:

<YZX + <ZXY + <XYZ = 180°   Sum of a triangle

Step 2:

<XYZ = 180° - 115° = 65°   Supplementry <'s

Step 3:

6k + 10° + 4k + 5° + 65° = 180°       Algebra

Step 4:

10k + 80° = 180°     Algebra

Step 5:

10k = 100°      Algebra

Answer:

k = 10      

Hope This Helps :)

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Solve the inequality -2(y + 5) + 20 &gt; 6.
Sindrei [870]

Answer:

y < 2

Step-by-step explanation:

Given

- 2(y + 5) + 20 > 6 ← distribute and simplify left side

- 2y - 10 + 20 > 6

- 2y + 10 > 6 ( subtract 10 from both sides )

- 2y > -4

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

y < 2

3 0
3 years ago
Let A (10, 11, 12, 13 and B (a, b, c, d) Let g be a function from A to B defined by f(10, a), (11,a), (12, b), (13,b)) What is t
Irina-Kira [14]

Answer:

d does not have an inverse image

Step-by-step explanation:

From the question we are told that

    The  first set is    A (10, 11, 12, 13 )

     The  second set is     B (a, b, c, d)

      The function that from A to B is  f(10, a), (11,a), (12, b), (13,b))

Generally for a function defined by (x,y), y is the image of x while x is the inverse image  of  y

Now considering the function we are given and the value d we see that and inverse image is not defined for d in the function

hence d does not have an inverse image  

       

8 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
Lerok [7]

Answer:

1 + 2x = f(x) i believe

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
PLEASE HELP MEEE ILL MARK BRAINLIEST​
kolezko [41]

Answer:

216 cu. ft.

Step-by-step explanation:

V = 1/2 x b x h x l

   = 1/2 x 12 x 2 x 18

   = 12 x 18

   = 216 cu. ft.

 

6 0
2 years ago
Read 2 more answers
The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the The area of the sail is 68 square fe
Dima020 [189]

Step-by-step explanation:

It is given that,

The height of the sail on a boat is 7 feet less than 3 times the length of its base.

Let the length of the base is x.

ATQ,

Height = (3x-7)

Area of the sail is 68 square feet.

Formula for area is given by :

A=lb\\\\68=x(3x-7)\\\\3x^2-7x=68\\\\3x^2-7x-68=0

x = 8 feet and x = -3.73 feet

So, length is 8 feet

Height is 3(8)-7 = 17 feet.

So, its height and the length of the base is 17 feet and 8 feet respectively.

3 0
2 years ago
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