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
IrinaK [193]
3 years ago
11

In parallelogram abcd, ab=14, bc=20, m(angle)b=54. Find to the nearest tenth the length of diagonal bd, and find measure angle d

bc to the nearest degree.
Mathematics
1 answer:
muminat3 years ago
3 0
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20

Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit

Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76° 
You might be interested in
Suppose your salary in 2014 is $60,000. Assuming an annual inflation rate of 8%, what salary do you need to earn in 2017 in orde
Westkost [7]

sorry I messed up dont look at me

5 0
3 years ago
Answer 6, as quick as you can please​
lisabon 2012 [21]

9514 1404 393

Answer:

  0 ft

Step-by-step explanation:

The line hangs down 15 feet from the top of each pole, so the distance between them must be zero if the total line length is 30 feet.

3 0
2 years ago
While reading the newspaper Cindy saw a circular graph that showed the number of A's in the senior English class as 20%, the num
STatiana [176]

Answer:

c= 1/3

Step-by-step explanation:


6 0
2 years ago
I will give brainliest to best answer<br>Factorise completely (3x^2-5y^2)​
Artemon [7]
<h2><em>we can write (3x^2-5y^2) as (3x-5y)^2</em></h2><h2><em>( 3 x − 5 y ) 2   as  ( 3 x− 5 y ) ( 3 x− 5 y )</em></h2><h2><em>3 x ( 3 x − 5 y ) − 5 y ( 3x −5 y )</em></h2><h2><em>3 x ( 3 x − 5 y ) − 5 y (3 x − 5 y )</em></h2><h2><em>3 x ( 3 x ) + 3 x ( − 5y ) − 5 y ( 3 x ) − 5 y( -5 y )</em></h2><h2><em>9 x 2 − 15 x y − 15y x + 25 y 2 </em></h2><h2><em>  Subtract  15 y x  from  − 15 x y .</em></h2><h2><em>9 x 2 − 30 xy + 25 y 2</em></h2><h2><em>                                 HOPE IT HELPS(◕‿◕✿)    </em></h2><h2><em>                                             SMILE!!                                                                         </em></h2>
6 0
3 years ago
Solve this inequality for x 81 -1 1/5r &lt;55
allsm [11]

81-1\dfrac{1}{5}r < 55\qquad|\text{subtract 81 from both sides}\\\\-\dfrac{1\cdot5+1}{5}r < -26\qquad|\text{change the signs}\\\\\dfrac{6}{5}r > 26\qquad|\text{multiply both sides by 5}\\\\6r > 130\qquad|\text{divide both sides by 6}\\\\r > \dfrac{130}{6}\\\\r > \dfrac{65}{3}\to r > 21\dfrac{2}{3}

7 0
3 years ago
Read 2 more answers
Other questions:
  • At many golf​ clubs, a teaching professional provides a free​ 10-minute lesson to new customers. A golf magazine reports that go
    12·1 answer
  • Which two rational numbers does the root 14 lie between?
    14·1 answer
  • Factor −1/4 out of −1/2x−5/4y. The factored expression is .
    10·1 answer
  • The construction shows angles CAB and IDE. There is a circle created from point A that intersects with ray AC, creating point F,
    9·2 answers
  • A light bulb consumes 1440 watt-hours per day. How long does it take to consume 7560 watt-hours?
    10·1 answer
  • How do i simplify the expression 6(x+2)-4
    11·1 answer
  • Using the FOIL method, find the product of x - 2 and x - 3 .
    13·2 answers
  • Find the y-intercept from the line passing through (1, 3) and having slope m=2.
    8·2 answers
  • Please tell me which ones I should select!!!
    14·1 answer
  • The price of a suit is $200. If it is on sale at 8% off, then its final price is $x. What is the value of x?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!