The values of x, y, and z of the parallelogram are -19°, -115° and 27°
<h3>What is a parallelogram?</h3>
A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.
for a parallelogram opposite angles are equal
-4x -1 = 75
-4x = 76
x = 76/-4
x = -19°
sum of adjacent angles are supplementary
(-y-10) + 75 = 180
-y + 65 = 180
-y = 180 - 65
-y = 115
y = -115°
Also
4z - 3 + 75 = 180
4z + 72 = 180
4z = 180 - 72
4z = 108
z = 108/4
z = 27°
In conclusion, the values of x = -19, y = -115, z = 27
Learn more about Parallelogram: brainly.com/question/20526916
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Answer:
6y = 12x + 36 is x=
1
/2
y−3
15y = 45x + 60 is x=
1
/3
y+
−4
/3
Step-by-step explanation:
Answer:
A) 420 seconds = 7 minutes
B) 8 times
Step-by-step explanation:
A) After how many second would all three things happen together again?
Solution:
His clock ticked every 5 seconds , a tap was dripping every 7 seconds and his pet dog snored every 12 seconds. It all happens simultaneously = 5*7*12=420 seconds
B) How many times would all three things happen together again between midnight and one o'clock
Since all these events happen together after every 420 sec = 7 mins and there are 60 mins between midnight and 1 o'çlock , thus 60/7 = 8 times ....
Answer:
Width: x + 3
(Length, width):
(5,4) (6,5) (7,6)
Step-by-step explanation:
x² + 7x + 12
x² + 4x + 3x + 12
x(x + 4) + 3(x + 4)
(x + 4)(x + 3)
Longer one is the length,
With is (x + 3)
x = 1,
5 × 4
x = 2,
6 × 5
x = 3,
7 × 6
