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
Finger [1]
3 years ago
6

The quadrilateral ABCD is a rhombus with diagonals AC = 12 ft and BD = 4 ft. The points M and N divide diagonal AC on three equa

l parts. Prove that BMDN is a square and find its area.
Mathematics
1 answer:
victus00 [196]3 years ago
8 0

Answer:

area of BMDN 8 ft²

Step-by-step explanation:

In BMDN the diagonals are BD and MN.

MN is 12/3 = 4 ft long, and BD = 4 ft.

A rhombus with equal diagonals is a square, so BMDN is a square.

In the right triangle BDN, the diagonal BD is the hypotenuse, then:

DN² + NB² = BD²

but DN = NB, then:

2*DN² = 16 ft²

DN² = 8 ft²

The area of BMDN is computed as one of its sides squared. Then, DN² is its area

You might be interested in
What is the least common multiple of 26 and 39?
GuDViN [60]

Answer:

78

Step-by-step explanation:

Find the prime factorizations of the two numbers:

26 = 2 * 13

39 = 3 * 13

The LCM is the product of common and not common factors with the higher exponent.

LCM = 2 * 3 * 13 = 78

Answer: 78

5 0
3 years ago
A shipment has 22 products, of which 3 are defective. Three people in turn pick up, each person picks up a product at random (no
Alla [95]

Answer:

Probability of no one picking up a defective product = 571 / 1540

Step-by-step explanation:

Total number of items = 22

non-defective items = 22-3 = 19

Probability of all three picking up non-defective products

= 19/22 * 18/21 * 17/20

= 969/1540

Probability of at least one picking up a defective product

= 1 - 969/1540

= 571/1540

(=0.371, approx.)

6 0
3 years ago
Which of the following statements is true about the triangles below?
anyanavicka [17]
Triangle ACB and triangle ABD share one side AB. This means they have one side that is congruent; side AB

Angle ABD = Angle ABC
Angle BAC = Angle BAD

The pair of angles that are equal lie on the side AB

Hence, triangle ABC and triangle ABD are congruent by Angle-Side-Angle (ASA)

Answer: Second option
5 0
3 years ago
Complete the statement. 469.1 mg = g
Goryan [66]
469.1 mg = .4691 g. Hope I helped. =)
7 0
3 years ago
Read 2 more answers
1. 5 + 2x - 8
denpristay [2]

Answer:

1. 2x-3

2.-4x+12

3.9x+3

4.-15x-12

5.2x-5

6.-11x

7.23x+42

8.-21x

9.-2x-12

10.4x-8

Step-by-step explanation:


7 0
3 years ago
Other questions:
  • Write an equation to describe the cost of the number of kilowatt-hours of electricity from 1,001 to 1,500 answers
    11·1 answer
  • What is the perimeter a square whose is 6.5 inches?
    11·1 answer
  • 14 + 21 + 16<br> Total count –<br> Mean Value
    8·1 answer
  • What is the solution to 3/4 a &gt; -16 Hellp Plz
    9·2 answers
  • "For country​ North, the opportunity cost incurred when 3 tractors are produced is 21 watches. For country​ South, the opportuni
    15·1 answer
  • 1535372842994627392747382746272836372 plus times minus 2222222 THIS IS 100 POINTS
    15·2 answers
  • Given `∆QRS≅∆TUV,` QS = 5v + 2, and TV = 8v - 7, find the length of QS
    15·1 answer
  • Dependent events can best be desrcribed as
    12·1 answer
  • What kind of graph would be best to show the results of a group of students who were asked about their favorite kind of pizza. E
    5·1 answer
  • A food distribution company has employees that order food supplies for local restaurants by predicting sales. It is important th
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!