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
Ira Lisetskai [31]
2 years ago
13

Given: ABCD ∥gram, BK ⊥ AD , AB ⊥ BD AB=6, AK=3 Find: m∠A, BK, A

Mathematics
1 answer:
Masteriza [31]2 years ago
3 0

Given: ABCD ∥gram,

BK ⊥ AD , AB ⊥ BD

AB=6, AK=3

Find: m∠A, BK

To proof

  as given BK ⊥ AD

thus ΔABK is a right triangle.

thus by using the pythagoras theorem

we have

AB² = BK² + AK²

BK²  = AB ²- AK²

     = 6² - 3²

     = 36 - 9

     = 27

Hence

BK = <u>3\sqrt{3} unit</u>

Now find the value  m∠A

by using the trignometric function

FORMULA

cosA = \frac{BASE}{HYPOTENUSE}

cosA = \frac{3}{6}

       = \frac{1}{2}

m∠A = 60°

hence proved


 

You might be interested in
How to solve -2(1-7n)-5n=34
OLEGan [10]

-2(1-7n)-5n=34

Multiply the bracket by -2

(-2)(1)=-2

(-2)(-7n)=14n

-2+14n-5n=34

-2+9n=34

Move -2 to the other side. Sign changes from -2 to +2.

-2+2+9n=34+2

9n=34+2

9n=36

Divide by 9 for both sides

9n/9=36/9

n=4

Answer: n=4

6 0
2 years ago
Read 2 more answers
PLS HELP QUICKLY !!!!!!
Olegator [25]
Answer: Choice C) 

--------------------------------------

mean = xbar = (2400+1750+1900+2500+2250+2100)/6
mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250
1750-2150 = -400
1900-2150 = -250
2500-2150 = 350
2250-2150 = 100
2100-2150 = -50
The differences are: 250, -400, -250, 350, 100, -50 

Then you square those values and add up the squares

(250)^2 +  (-400)^2 +  (-250)^2 +  (350)^2 +  (100)^2 +  (-50)^2 = 420,000
3 0
3 years ago
Read 2 more answers
I need help with this question.
ahrayia [7]

Answer:

59

Step-by-step explanation:

We know that all the angles must add up to 180

so we have

38+2b-20+b-15=180

solve for b

3b+3=180

3b=177

b=59

8 0
2 years ago
Read 2 more answers
An electric motor pumps water into a pool at a rate of 500 liters per hour. After a tune up, its rate increases by x liters per
Alex73 [517]

Answer: 3(500+x)=1800

4 0
3 years ago
Which correlation is most likely a causation?
irina1246 [14]
The appropriate response is letter B. The connection is no doubt a causation is the positive relationship between's the quantity of trucks that drive on a street and the measure of support the street needs

I hope the answer will help you. 
6 0
3 years ago
Read 2 more answers
Other questions:
  • I gave 3 packs of baseball cards to my friends. Each friend got 1/3 of a pack. How many friends got baseball cards
    14·1 answer
  • Someone help plz ASAP this is hard
    12·2 answers
  • A music store charges $18.50 for a CD plus a 0.5% city tax and a separate 4% state tax
    5·1 answer
  • Jessica is selling books during the summer, can someone help out
    9·1 answer
  • An IV fluid contains 75 mg of Drug B in 500 ml of the IV fluid. If the patient needs 300 mg of this medication, how much of this
    6·1 answer
  • Find the length bc rounded to 1 decimal place
    7·1 answer
  • HELP ASAP PLEASE !!!!!!!!
    6·1 answer
  • Complete the explanation on how you can use base-ten blocks to find 1.59 + 2.18. First
    6·1 answer
  • What is 100 times 100 divied by 100
    11·2 answers
  • 4653.8549 x 6663696.3
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!