answer.
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
Alexxx [7]
2 years ago
11

Given: ABCD is a parallelogram m∠A = 60º ; BK ⊥ AD AK = KD; Perimeter of ABCD = 24 Find: BD.

Mathematics
1 answer:
AveGali [126]2 years ago
3 0
Since AK =  KD, then the triangle ABD is isosceles,
Then BD = AB. Denote AB by x and AK by y. 
Then, 
2x+4y=24 (the perimeter)
cos 60=y/x. 
From the second equation we get y=0.5x
Plug in the first equation we get: 
2x+4(0.5x)=24\\2x+2x=24\\4x=24\\x=6
We deduce that BD=6.
You might be interested in
During the 2005 football​ season, Team Tackle beat Team Sack by 3 points. If their combined scores totaled 15​, find the individ
Verizon [17]

Answer:

Team tackle scored 9 points.

Team Sack scored 6 points.

Step-by-step explanation:

9+6=15 and 9 is three more than 6.

7 0
2 years ago
Read 2 more answers
The function f(x) is shown on the graph. On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at
brilliants [131]

Answer:

x = -2,1,3

Step-by-step explanation:

Given: The curved line represented by the function  crosses the x-axis at  and y-axis at  

To find: value of x for which  

Solution:

f(x)=0    =     gives those values of x for which the curve represented by the given function cuts the x-axis.

According to question, the curve cuts the x-axis at

5 0
2 years ago
Read 2 more answers
Particle travels along a circular path that has a radius of 3 feet. The angular velocity of the particle is 18 radians per minut
Gala2k [10]
We know that

[length of a circumference ]=2*pi*r
for r=3 ft

[length of a circumference ]=2*pi*3-----------> 18.84 ft

<span>The angular velocity of the particle is 18 radians per minute.

if 2pi radians  (full circle)------------------> 18.84 ft
18 radians----------------------------------> X
X=18*18.84/(2*pi)---------> X=54 ft
so
</span>The linear velocity of the particle is 54 ft/minute

the answer is
54 ft/min
6 0
2 years ago
Read 2 more answers
. En un concesionario de coches hay modelos de varios colores. Los rojos suponen 1 6 del total, los azules, 2 9 del total, y los
Sholpan [36]

Complete question :

En un concesionario de coches hay modelos de varios colores. Los rojos suponen 1/6 del total, los azules, 2/9 del total, y los blancos, 4/15 del total.

a)¿Cuál de esos colores es el más frecuente?

b) Si hay 40 coches azules, ¿cuántos hay en total?

Responder:

Coches blancos

180 coches

Explicación paso a paso:

Dado que:

Rojo = 1/6 del total

Azul = 2/9 del total

Blanco = 4/15 del total

Para determinar qué color es el más alto, convierta los valores en decimal:

1/6 = 0,166667

2/9 = 0,2222

15/4 = 0,26667

Por lo tanto;

4/15> 2/9> 1/6

Por tanto, los coches blancos son los que más

2.)

Sea Número total = x

Por lo tanto,

2/9 de x = 40

2x / 9 = 40

2x = 360

x = 180

Por tanto, hay 180 coches en total.

4 0
2 years ago
Farid is baking muffins, The recipe calls for 3/4 cup of sugar for a full batch. Farid is making 1/2 of a batch. Write an expres
Tems11 [23]

Answer:

y = 3/8x

or

3/8 cups of sugar for every 1/2 batch of muffins

Step-by-step explanation:

Since we are only making 1/2 of the full batch of muffins, we only need to use 1/2 the cups of sugar:

\frac{3}{4} (\frac{1}{2} )= \frac{3}{8} cups of sugar.

8 0
2 years ago
Read 2 more answers
Other questions:
  • Two sandboxes with the same area are shown. The equation w(3w+1)=5^2 represents the area of Sandbox 2 in terms of its width. Whi
    8·2 answers
  • The Ferris Wheel first appeared at the 1893 Chicago Exposition. Its axle was 45 feet long. Spokes radiated from it that supporte
    13·2 answers
  • A public interest group hires students to solicit donations by telephone. After a brief training period students make calls to p
    15·1 answer
  • Sample of 3 items is selected at random from a box containing 20 items of which 4 aredefective. find the expected number of defe
    12·1 answer
  • How would the fraction 1/3+square root of 2 be rewritten if its denominator is rationalized using difference of squares? A. 3-sq
    9·2 answers
  • Ritu started a business and borrowed a certain sum at 14% per annum for 1 year, the interest being compounded semi annually. If
    15·1 answer
  • Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,
    10·2 answers
  • A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Qua
    10·1 answer
  • The perimeter of a triangle is 105 cm. If each of the two legs is exactly twice the length of the
    8·1 answer
  • 600 can be written as 2^a x b x c^d. where a, b, c and d are all prime numbers. find the values of a, b, c and d
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!