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]
2 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:
muminat2 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
What is the value of 1 in the number 153732991
dimulka [17.4K]
It is either in the ones place or the hundred millions place
7 0
3 years ago
Read 2 more answers
Which is the closest to the curve of best fit for the data shown?
docker41 [41]

Answer:

data shows a positive or negative correlation, we can model the trend in the data using a line of best fit. Example 1 ... A curve of best fit is used to find an equation that best fits a quadratic function.

Step-by-step explanation:

7 0
3 years ago
Let g(x)=-5x+2 with g(-1)
masha68 [24]
Replace x with -1.

G(-1) = -5(-1) + 2

= 5 + 2

= 7


I hope this Helps!
4 0
2 years ago
Which equation, in point-slope form, represents a line with m= -4/7 that goes through the point (-1, 4)?
Gelneren [198K]
A is the correct answer.

Point Slope Form: y - y₁ = m(x - x₁)

m = slope ⇒ -4/7
Coordinate: (-1  ,  4)
                       x₁    y₁

All you have to do is plug in all of the information above into the formula.

y - 4 = -4/7(x +1)


4 0
3 years ago
What is 8 times -8/9
LuckyWell [14K]

When you multiply a whole number by a fraction, multiply the whole number by the numerator ( top number) and then divide by the denominator (bottom number).

8 x -8/9 = (8 *-8)/9 = -64/9 = -7 1/9 = -7.1

5 0
3 years ago
Read 2 more answers
Other questions:
  • Add.
    11·1 answer
  • 3x-2y=14 <br> y=5x<br><br> Solve by substitution
    6·1 answer
  • 5 Laura says that the distance between (4, -2) and (4, -7) in the coordinate plane is
    9·1 answer
  • Please Help !!! Picture shown.
    13·2 answers
  • Please Help with this!!
    9·1 answer
  • What is the area of the figure A 96 B 104 C 128 D 64
    13·1 answer
  • Ross needs to buy a countertop for a laundry room. He calculated the area to be 12 square feet. The actual area is 11.8 square f
    5·2 answers
  • Hello! Please help I will rate five stars and say thank you
    7·2 answers
  • The legs of a right triangle measure 11.4 meters and 15.1 meters. To the nearest tenth, what is the measure of the largest angle
    14·1 answer
  • What is f(4) for the graph shown below?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!