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
egoroff_w [7]
3 years ago
6

Please help with this. I only need help with the first question I have the second one figured out,

Mathematics
2 answers:
lutik1710 [3]3 years ago
6 0

Answer:

m∠WZX = 41°

Step-by-step explanation:

diagonals bisect angles and opposite angles are congruent

therefore, ∠WXY ≅ ∠WZY

∠WZY must equal [360 - 2(68)] ÷ 2 which equals 112°

If ∠WXZ = 71° then so does ∠XZY

Which means that ∠WZX must equal 112-71 which is 41°

Fynjy0 [20]3 years ago
5 0
<h3>Answer:  41 degrees</h3>

===================================================

Explanation:

Refer to the diagram below. I've marked up the figure with various angles to point out the angles we'll be working with.

  • angle XYZ = 68 in green
  • angle WXZ = 71 in red
  • angle WZX = unknown, in blue

To make things a bit simpler in terms of notation, and to match up colors with variable letters, I'm going to use the following

  • R = red angle
  • G = green angle
  • B = blue angle

Notice how the two red angles I've marked up are alternate interior angles. This works because WX is parallel to ZY. Also notice that the red and blue angles combine to form the angle WZY, which is adjacent to angle XYZ in green.

For any parallelogram, the adjacent angles always add to 180.

(angle WZY) + (angle XYZ) = 180

(blueAngle+redAngle) + (greenAngle) = 180

(B+R) + (G) = 180

(B+71) + (68) = 180

B+139 = 180

B = 180-139

B = 41

The blue angle is 41 degrees, which means angle WZX is 41 degrees

Side note: Your steps and answer to problem 11 are correct. Nice work.

You might be interested in
If you earn $400 a week, what is your hourly wage?
Nata [24]

Answer:

2.38 dollars in a week

Step-by-step explanation:

168 hours = Week

400 dollars = Week

400 ÷ 168  = 2.38

5 0
3 years ago
the village was polyglot. if the ratio of bilingual denizens to trilingual denizens was 14 to 3 and the denizens totaled 3400 ho
Travka [436]
Bilingual : trilingual = 14 : 3

So, ...
  trilingual : total = 3 : (14+3) = 3 : 17

The number of trilingual denizens was (3/17)*3400 = 600.
7 0
3 years ago
Determine the zeros for and the end behavior of f(x) = x(x – 4)(x + 2)^4.
omeli [17]

Answer:

Step-by-step explanation:

x=-2,0,4

it is of 6 th degree (even)

coefficient of leading term is 1 (positive)

so it starts from top on the left and ends also positive direction of y-axis.

7 0
4 years ago
Speed compares two values in a ratio. calculate the average speed of karen who travels for 2 hours. karen traveled approximately
Mama L [17]
Speed=distance/time
distance=176km
time=2hr

speed=176km/2hr=88km/1hr

88kmph
5 0
3 years ago
Rita works 1234 hours in her first week at a new job. She works 1514 hours in the second week. How many more hours does Rita wor
Sphinxa [80]

Answer:

280

Step-by-step explanation:

1514-1234 = 280

8 0
3 years ago
Other questions:
  • What is the MAD of the data set? <br><br> {5, 12, 1, 6, 11}<br><br> Enter your answer in the box
    14·1 answer
  • What is half of 1:21 in minutes
    8·2 answers
  • What's the answer to 15p+7=q for p
    13·1 answer
  • HELP PLEASE I DON'T UNDERSTAND
    11·2 answers
  • Charles rolled a number cube labeled from 1 to 6. What is the probability that he will roll a number greater than 2? in a fracti
    12·2 answers
  • Y = 4x 2 is shifted 5 units to the right
    14·2 answers
  • What is the domain of the function graphed below?
    5·1 answer
  • Eric needs to cut a board into 6 equal pieces. The board is 4 1/2 feet long.
    5·1 answer
  • Answer PLS
    14·2 answers
  • What is the distance between point B and point C? Point C is 8.6 units.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!