1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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 :)

You might be interested in
Help me please:(:(:(:(:(
Dmitry [639]

Answer:

ndjndkjsdf

Step-xplanation:fdjsdnfdjnfdfsfd

7 0
3 years ago
Part 2
ahrayia [7]

Answer:

B. 236.3

Step-by-step explanation:

Population density can be found by dividing the number of people by the area of the land.

number of people / land area

The population is 20,510 people and the area is 86.8 square miles.

20,510 people / 86.8 square miles

Divide 20,510 by 86.8

236.290323 people /square mile

Round to the nearest tenth. The 9 in the hundredth place tell us to round the 2 to a 3 in the tenth place.

236.3 people/ square mile

There are 236.3 people per square mile and B is correct.

6 0
3 years ago
it cost a faimly 305.00 to buy a 11ft by 14 ft rug if the cost is porpotional to the area what will it cost the family to buy a
Nataliya [291]
So what we do first is find out the cost per foot which is 305÷154=1.9805194805194805195
Then we find out the area of the second rug which is 288 feet and multiply that by the cost 1.9805194805194805195. We then get 1.9805194805194805195x288=570.38961038961038961
7 0
3 years ago
What are the coordinates of the centroid of a triangle with vertices J(−4, 2) , K(2, 4) , and L(0, −2) ?
Kryger [21]
Given the coordinates of the three vertices of a triangle ABC, 
the centroid coordinates are (x1+x2+x3)/3, (y1+y2+y3)/3
<span>so (-4+2+0)/3=-2/3, ]2+4+(-2)]/3=4/3
so the coordinates are (-2/3, 4/3)</span>
3 0
3 years ago
Read 2 more answers
Find the greatest commen factor of 96 and 48
kirza4 [7]
48 is the greatest common factor
4 0
3 years ago
Read 2 more answers
Other questions:
  • Compare the decimals 13.03 and 13.30. Which comparison is correct? A. 13.03 &lt; 13.30 B. 13.03 = 13.30 C. 13.03 &gt; 13.30
    10·2 answers
  • Paul can purchase 3 muffins for $1.35. At this rate what is the cost of 10 muffins
    13·2 answers
  • (20 points)Solve the equation cos x = sin (x + 22)
    12·1 answer
  • What is the value of X?
    11·1 answer
  • What is (f - g)(x)?<br> f(x) = -3x² - 10x<br> g(x) = x2+6x
    13·1 answer
  • How do you factor 130x - 13. Please show work
    13·2 answers
  • PLZZZZZZZ HEELLLLPPPPP
    5·2 answers
  • Please help me with this plssss
    15·2 answers
  • Pls help with this math question
    9·2 answers
  • WHO WANTS TO JOIN MY REMIND??? the code is DallasTX14 (ik ik, its weird lol)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!