Answer:
x=26
Step-by-step explanation:
3x +12 =90
subtract 12 from each side
3x=78
divide 3 from each side
x=26
Angles T and V of the parallelogram are equal to 91°.
Calculating the Value of x
In the parallelogram TUVS, adjacent angles U and V are given as,
U = 4x+9
V = 6x-29
Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.
4x+9 + 6x-29 = 180
10x - 20 =180
10x = 200
x = 20
Calculating the Angles of the Parallelogram
∠U = 4x + 9
∠U = 4(20) + 9
∠U = 80 + 9
∠U = 89°
∠V = 6x - 29
∠V = 6(20) - 29
∠V = 120 - 29
∠V = 91°
According to the properties of a parallelogram, opposite angles are of equal measure.
∴ ∠T = ∠V and ∠S = ∠U
⇒ ∠T = 91° and ∠S = 89°
Learn more about a parallelogram here:
brainly.com/question/1563728
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Answer:
y=x-6
Step-by-step explanation:
The x-intercept is found replacing y = 0, as follows:
<u>Function:</u> y = -3x + 8
x-intercept:
0 = -3x + 8
3x = 8
x = 8/3
<u>Function</u>: y = -3x + 6
x-intercept:
0 = -3x + 6
3x = 6
x = 6/3 = 2
<u>Function</u>: y = -x - 8
x-intercept:
0 = -x - 8
x = -8
<u>Function</u>: y = x - 6
x-intercept:
0 = x - 6
x = 6
The last option is the only one in which x-intercept is x = 6.
Answer:
yes
Step-by-step explanation:
6 -2 = 4
4 - 3 = 1
1 - .80 = .20
The 2 angles add up to 90 degrees so
x + y = 90, also:-
x - y = 72 (given)
adding the 2 equations:-
2x = 162
x = 81
and therefore
y + 81 = 90
y = 9
Answer the 2 angles are 81 and 9 degrees
