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
Snowcat [4.5K]
3 years ago
15

Find the values of the variables xy, and z in the parallelogram. The diagram is not drawn to scale

Mathematics
1 answer:
REY [17]3 years ago
5 0

Answer:

Therefore x = 33° , y = 40° and z = 109°.

Step-by-step explanation:

i) from properties of parallel lines a pair of alternate interior angles are equal

  Therefore x = 33°

ii) from properties of parallelogram that a pair of opposite angles are equal, Therefore z = 109°.

iii) from the law of triangle that the sum of all angles in a triangle is 180° and also using the property of parallel lines that a pair of alternate interior angles is equal we can say that x° + y° + z° = 180°                                           ⇒ 31° + y° + 109° = 180°, therefore   y° =  180° - 140° = 40°.

Therefore x = 33° , y = 40° and z = 109°.

You might be interested in
Can anyone answer this question?
MatroZZZ [7]
The answer should be 3/16
8 0
4 years ago
Read 2 more answers
M + 3n = 7 solve for m
lara [203]

Answer:

m = 7 - 3n

Step-by-step explanation:

m + 3n = 7

subtract 3n from both sides

m + 3n = 7

    - 3n       -3n

m = 7 - 3n

4 0
4 years ago
Please help I haven’t been to school in a while and I need help
kakasveta [241]
You're given an angle, the side adjacent to the angle, and are looking for the hypotenuse.

Use cosine = adjacent / hypotenuse.

cos(60) = 2√(3) / x

Rearrange the equation to solve for x (multiply both sides by x, then divide both sides by cos(60)).

x = (2√(3)) / (cos(60))

x equates to about 6.928

5 0
3 years ago
Read 2 more answers
Helppp pleasee!!!<br> MARK BRAINLIST <br> 12 POINTS
Elanso [62]

Answer:

12.56

Step-by-step explanation:

use the circumference of a circle formula, C=2πr, to find the circumference

so C=2π(2)=12.56 the last one

3 0
3 years ago
Read 2 more answers
Write the equation of the quadratic given the following information:
xenn [34]
<span>y=a((x-h)^2)+k
Vertex=(h,k)
1. Vertex (5,-1) Point (2,4)
y=a((x-5)^2)+(-1)
f(2)=4
4=a((2-5)^2)+(-1)
4=a(-3)^2-1
4=a*9-1
5=a*9
5/9=a
y=(5/9)((x-5)^2)-1
2. Vertex (-2,0) Point (-1,-7)
y=a((x+2)^2)+0
y=a((x+2)^2)
f(-1)=-7
-7=a(-1+2)^2
-7=a(1)^2
a=-7
y=-7(x+2)
(x-h)^2=4(d)(y-k)
3. Vertex (0,0) Focus (0,2)
d=f-v
d=2
(x^2)=4(2)(y)
(x^2)=8y
f(0)=0
4. Focus (-3,4) Directrix y= -2
(x-h)^2=4(d)(y-k)
d=(4-(-2))/2=6/2=3
(x-h)^2=4(3)(y-k)
h=-3
k=(-2+4)/2=(2)/2=1
(x+3)^2=4(3)(y-1)
(x+3)^2=12(y-1)</span>
6 0
3 years ago
Other questions:
  • What is the solution set of the equation below? 3|5 − x| + 2 = 29
    13·2 answers
  • A right triangle has a leg of 13 cm and a hypotenuse of 21 cm.
    14·2 answers
  • Helpppppppp pleaseeeeee!!
    6·1 answer
  • The volume of the sphere is 500 1 cubic units.
    11·1 answer
  • Cuanto es log3 27 + log3 1 =
    9·1 answer
  • Factories:<br><br>y(x+y)-(1+x)​
    6·2 answers
  • PLEASE HELP Point P is plotted on the coordinate grid. If point Sis 10 units to the left of point P what are the coordinates of
    13·1 answer
  • A road in Europe has a speed limit of 60 kilometers per hour. How many miles per hour is this?
    11·2 answers
  • The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only
    10·1 answer
  • Find the area.<br> 5 cm<br> 5 cm<br> 16 cm---<br> 7 cm<br> 14 cm
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!