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
Oksana_A [137]
3 years ago
5

1) Suppose a rhombus has 12 cm sides and a 30° angle. Find the distance between the pair of opposite sides.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

1) 6 cm

2) 117°

Step-by-step explanation:

1) Draw a picture of the rhombus.  The distance between opposite sides is the height of the rhombus.  If we draw the height at the vertex, we get a right triangle.  Using trigonometry:

sin 30° = h / 12

h = 12 sin 30°

h = 6 cm

2) Draw a picture of the rectangle.

∠KML is the angle the diagonal makes with the shorter side ML.  This angle is 54°.  ∠NKM is the angle the diagonal makes with the shorter side NK.  ∠KML and ∠NKM are alternate interior angles, so m∠NKM = 54°.

The angle bisector of angle ∠NKM divides the angle into two equal parts and intersects the longer side NM at point P.  So m∠PKM = 27°.

KLMN is a rectangle, so it has right angles.  That means ∠KML and ∠KMN are complementary.  So m∠KMN = 36°.

We now know the measures of two angles of triangle KPM.  Since angles of a triangle add up to 180°, we can find the measure of the third angle:

m∠KPM + 36° + 27° = 180°

m∠KPM = 117°

You might be interested in
Directions: What does each of the following mean? Write out in words and phrases.
GalinKa [24]
Eleven plus
t minus seventeen
ten multiplied by n
fifteen multiplied by y
four multiplied by x
a plus b
fourteen times x plus three times y
8 0
2 years ago
Which of the following statements about trapezoids is true? 
maw [93]

    D one pair of opposite sides is parallel is the answer because trapezoids are another pair angled towards each and if  you follow long enough they will intersect. A couldn't be true because if ALL the angles are corresponding angles you would need two pairs of parallel lines. B isn't correct because the sides would need to be parallel for that too. C well you've already proved they don't have two pairs of parallel lines.

Hope this helps :)

4 0
3 years ago
Read 2 more answers
The drawing shown contains the intersection of two lines.
yulyashka [42]
Since they are vertical angles, they equal each other. Therefor the equation would be: 30x-29 = 20x+21
10x = 50
X = 5
After, you plug whatever x is back into the other equations.
20(5)+21 = 121 and 30(5)-29 = 121
7 0
3 years ago
Using the same information above, what percentage of flea collars would not be acceptable to ship according to this sample?
miv72 [106K]
B because your allow to ship according to the sample
6 0
2 years ago
Read 2 more answers
What is the value of (2x)° + 1​
mestny [16]

Answer:

=2x+1

Step-by-step explanation:

I am pretty sure that is the answer

7 0
2 years ago
Other questions:
  • How do u find the answer to this
    9·1 answer
  • 6–[(−3)+(−7)]–[(−1)–(−5)–(−8)]
    6·1 answer
  • Factor the algebraic expression
    12·2 answers
  • The perimeter of a rectangle is 42 cm and the area is 80 cm². Write an equation to model the situation and find the dimensions o
    9·1 answer
  • What is the result of adding these two equations?<br> - 2x + y = -5<br> - 2x - 4y = 6
    10·2 answers
  • each and every day a local grocery store sells 2 pounds of banana for $1.00. can the cost of 2 pounds of banana be represented a
    12·1 answer
  • The cost of 24 water bottles is $6. Which expression shows how to find the cost of 10 bottles of water? a.) 24/10 × 6
    6·1 answer
  • a television that usually sells for $499 is on sale for 10% off. what is the discount of the television?
    15·2 answers
  • the ratio of the number of adults to the number of children in a library is 12:5 if there are 45 children in the library how my
    9·2 answers
  • HELP ASAP PLEASE :))))))
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!