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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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Step-by-step explanation:

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mel-nik [20]

Answer:

The answer is 165 in.

Step-by-step explanation:

The first shape (On the right) has a length of 3in. If you look at the top. and the height is 9in. Now you can find the width by looking at the other shape on the left and its width is 3in. Good thing the width on that shape matches the width on the right shape. so now you multiply 3, 3, and 9 and you get 81.

Now you look at the shape on the left. We already know the width which is 3in. and the height is 4in. to find the length don't look at the 10in. the 10 is the 1st and 2nd shape put together. look at the top of the shape on the left and there is a 7. That 7 is your length. now you multiply 7, 3, and 4 and you should get 84. Now you add 84 and 81 and you are left with the answer of 165in squared.

3 0
4 years ago
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What are 3 ways that have the same value as 75% of 96
stealth61 [152]

Step-by-step explanation:

The three ways by which we can find the 75% of 96 -

    1 ) Simply multiply and extract 75% of 96 as follows -

     = 75/100 * 96

     = 72

  2) We can write 75% as 3/4 of the total so if we multiply 3/4 with 96 we

       will get 75% of 96  

       = 3/4 * 96

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  3) We can also get 75% of 96 by taking out the 1/4 rd of 96 and subtracting          

       from 96 we get 75% of 96

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4 0
4 years ago
If f(x)=x squared-2x and g(x) = 6x+4 for which is a value of x does (f+g)(x) =0
ra1l [238]

Answer:

For x = -2

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

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In this question:

f(x) = x^2 - 2x

g(x) = 6x + 4

f(x) + g(x) = (f+g)(x)  = x^2 - 2x + 6x + 4 = x^2 + 4x + 4

Which is a value of x does (f+g)(x) =0

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So

\Delta = 4^{2} - 4*1*4 = 0

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x_{2} = \frac{-4 - \sqrt{0}}{2} = -2

For x = -2

7 0
3 years ago
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