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3 years ago

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:

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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Find two numbers if their sum is 6.1 and their difference is 1.6

Radda [10]

For this case, the first thing we must do is define variables:
x: unknown number (1)
y: unknown number (2)
We now write the equations that model the problem:
their sum is 6.1:
$x + y = 6.1
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their difference is 1.6:
$x - y = 1.6
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