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
pav-90 [236]
2 years ago
6

Find the value of X and Y in the following parallelogram.AD =X+8 D=2y +13 C=16-x CB=5y+4 AB=o​

Mathematics
1 answer:
vlada-n [284]2 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4

In a parallelogram, consecutive angles are supplementary and opposite sides are equal.

Therefore for parallelogram ABCD, AB = CD, CB = AD

Since AD = CB (opposite sides of a parallelogram are equal):

x + 8 = 5y + 4

5y - x = 8 - 4

5y - x = 4             (1)

∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:

16 - x + 2y + 13 = 180

2y - x + 29 = 180

2y - x = 180 -29

2y - x = 151             (2)

To find x and y, subtract equation 1 from equation 2:

3y = -147

y = -49

Put y = -49 in equation 2

2(-49) - x = 151

x = -98 - 151

x = -249

You might be interested in
A distribution has a mean of 90 and a standard deviation of 15. Samples of size 25 are drawn randomly from the population. Find
raketka [301]

Answer:

The probability is 0.04746

Step-by-step explanation:

Firstly, we calculate the z-score here

Mathematically;

z-score = x-mean/SD/√n

Where from the question;

x = 85, mean = 90 , SD = 15 and n = 25

Plugging these values into the equation, we have;

Z = (85-90)/15/√25 = -5/15/5 = -1.67

So the probability we want to calculate is ;

P(z > -1.67)

We use the standard normal distribution table for this;

P(z > -1.67) = 0.04746

4 0
3 years ago
HELP ASAP!<br> PLEASE, I'LL MARK YOU AS BRAINLIST IF YOU GET ANSWER RIGHT!
Anna007 [38]
A, it’s A. As both parties have negatives.
8 0
3 years ago
Olsjsissjshsjsjsjsh help
stellarik [79]

Answer:

If u really struggle with maths u could use an application names photomath cuz it really helped me. Sry I can't help but I think photomath will be helpful

6 0
3 years ago
A family went to a restaurant for dinner. The bill before tax and tip was $52.78. The sales tax is
Sergeeva-Olga [200]

Answer:

B

Step-by-step explanation:

52.78×6.5%=3.43

52.78×18%=9.50

52.78+3.43+9.50=65.71

4 0
2 years ago
Find the area under one arch of a cycloid described by the parametric equations x = 3(20 - sin 20) and y = 3( I - cos 20). Use 0
Pavel [41]
The parametric equations seem to describe a circle of radius 3. Its area will be
  A = πr² = π·3²

The appropriate choice seems to be
  D. 9π

6 0
3 years ago
Other questions:
  • The tip of a 15-inch wiper blade wipes a path that is 35 inches long. What is the angle of rotation of the blade in radians to t
    15·2 answers
  • How many license plates can be made with 3 letters and 2 numbers?
    12·2 answers
  • What is the answer to this problem because I am so confused on this
    5·1 answer
  • A laser bean anchored in a wall originates 4 feet from the ground and is aimed at a mirror on the floor 6 feet from the wall. Th
    5·2 answers
  • For each figure, which placement of the axes shown would be the best to prove properties about the object?
    9·1 answer
  • A guy wire is used to support flagpoles in windy areas. These wires are anchored in the ground to provide constant stability. Yo
    7·1 answer
  • Given : AB = BC and BC = CD, AB = 3x - 1 and CD = 2x + 3 Prove: BC = 11 plz help me
    14·1 answer
  • The area of this rectangle is 3x2. What does the coefficient 3 mean in terms
    9·1 answer
  • Can someone please help me out with this math work.
    12·1 answer
  • Help ASAP and answer correctly please!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!