Answer:The equation to determine how much Elise will pay for a student ticket is 2x = 33
Step-by-step explanation:
Let x represent the price of one student ticket.
Elise and her dad are planning to attend the state fair and the price of an adult ticket is $21.00
The price of an adult ticket is $10.00 more than two thirds the price of a student ticket. This means that
21 = 2/3 × x + 10
The equation to determine how much Elise will pay for a student ticket would be
2x/3 + 10 = 21
2x/3 = 21 - 10 = 11
2x = 11×3 = 33
x = 33/2 = $16.5
Yeah? is there anything more specific?
The statement that proves that parallelogram KLMN is a rhombus is. The slope of KM is 1 and the slope of NL is –1.
<h3>What is a Rhombus?</h3>
This is a type of quadrilateral that has four sides of which they are all equal.
Hence, given that KLMN is a parallelogram, K(7,7), L(5,3), M(1,1) and N(3,5).
We know that they bisect each other and if the diagonals of a parallelogram are perpendicular to each other then the parallelogram is a rhombus.
Therefore, The slope of KM is 1 and the slope of NL is –1.
Read more about rhombus here:
brainly.com/question/13984549
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Answer:
28 square units
Step-by-step explanation:
The figure can be decomposed several ways. Maybe easiest to see is as a 8×4 rectangle with a 2×4 right triangle cut from the corner.
The area of the rectangle is ...
A = LW = (8)(4) = 32
The area of the missing triangle is ...
A = 1/2bh = 1/2(2)(4) = 4
Then the area of the shaded figure is ...
32 - 4 = 28 . . . square units
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<em>Alternate solution</em>
If you divide the figure with a horizontal line across the middle, it becomes a 4×4 square and a trapezoid with bases 2 and 4 and height 4. The shaded area is the sum of these areas.
The area of a trapezoid is ...
A = 1/2(b1 +b2)h
A = (1/2)(2 +4)(4) = 12
The area of the square is ...
A = s² = 4² = 16
Then the total area is ...
12 +16 = 28 . . . square units
Multiply the quotient by its number for example 6 to the power of 10 multiply 10 times 10