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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:

use distributive property:

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The circle below is centered at the origin and has a radius of 4. What is its equation?
Alecsey [184]

Answer:

C) x^2 + y^2 = 16

Step-by-step explanation:

<h2><u>Find the equation </u></h2>

since the radius is  4 this means that anywhere from the center of the circle to the edge of the circle is 4. hence :

place the horizontal line of the radius where y = 0 .

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3 years ago
Round off the following numbers to the nearest thousand. 19. 674,620 20. 355,500
Oksana_A [137]

Answer:

1) 675,000.

2) 356,000

Step-by-step explanation:

There are some rules to round off to the nearest thousand.

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2. If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by ‘0’ and the thousands place is increased by 1.

We have given two numerals:

1)<u> 674,620</u>

According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.

The answer is 675,000.

2) <u>355,500</u>

According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Gemiola [76]

Answer:  (D) <em>bottom right graph</em>

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: f(x) = a(x - h)² + k,    where

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Given g(x) = (x - 3)² - 5

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The only graph that satisfies all of these conditions is the bottom right.

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3 years ago
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