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 = 1/2x -1
Step-by-step explanation:
to find the y-intercept you find where the line crosses the y axis
for the slope you need to use the equation
change of y2 - change of y1
change of x2 - change of x1
Answer:uidelines called the order of operations, which outlines the order in which parts of an expression must be simplified.
ORDER OF OPERATIONS
When simplifying mathematical expressions perform the operations in the following order:
1. Parentheses and other Grouping Symbols
Simplify all expressions inside the parentheses or other grouping symbols, working on the innermost parentheses first.
2. Exponents
Simplify all expressions with exponents.
3. Multiplication and Division
Perform all multiplication and division in order from left to right. These operations have equal priority.
4. Addition and Subtraction
Perform all addition and subtraction in order from left to right. These operations have equal priority
Step-by-step explanation:
30 × 5 = 150
150 - 110 = 40
40 ÷ 2 = 20
So 20 kids brought their own lunch
Hope this helped. Have a great day!
Answer:
That's the right answer.
Step-by-step explanation:
2x+3=3x
Subtract 2x from both sides
3=x or x=3
