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
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Answer:
x=-2 y=-6
Step-by-step explanation:
x-4=4x+2
subtract x from both sides
-4=3x+2
subtract 2 from both sides
-6=3x
divide by 3 on both sides
x=-2
y=-2-4=-6
y=4(-2)+2=-8+2=-6
5t = 25+2r
t = (25+2r)/5 or
t = 5 + (2/5)r
Answer: r= 25/3
Step-by-step explanation:
r-4(r+6)=-49 distribute the 4
r-4r-24=-49 combine like terms
-3r-24=-49 add 24 to both sides
-3r=-25 divide by -3
r= 25/3 answer
