Answer:
C x=17
Step-by-step explanation:
The top and bottom sides have to be equal for the quadrilateral to be a parallelogram
2x-9 = x+8
Subtract x from each side
2x-9-x = x+8-x
x-9 = 8
Add 9 to each side
x-9+9=8+9
x=17
The area of the triangle PQR is 6.5 unit square.
<h3>What is defined as the triangles?</h3>
Triangles are three-sided polygons with three vertices.
- The angles of the triangle are established by connecting the three sides end to end at a point.
- The sum of the triangle's three angles corresponds 180 degrees.
The three coordinates of the points are P(4,6), Q(8,5), and R(5,9).
The formula for the area of the triangle when the coordinates are given is;
area of ΔABC = (1/2)[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
(x₁, y₁) = P(4,6)
(x₂,y₂) = Q(8,5)
(x₃, y₃) = R(5,9)
Put the given values in the formula;
area of ΔABC = (1/2)[4(5 - 9) + 8(9 - 6) + 5(6 - 5)]
On solving;
area of ΔABC = (1/2)[-16 + 24 + 5]
area of ΔABC = (1/2)[13]
area of ΔABC = 6.5
Therefore, the area for the triangle formed by the coordinates is 6.5 unit square.
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Answer:
V≈1.25664×10^6
Step-by-step explanation:
The formula for the volume of a cylinder is V=πr2h, so if you plug in the values for radius and height (V=πr2h=π·100^2·40), you get .25664×10^6)
A function assigns the values. For every increase of 1 ounce in frozen yogurt the cost will increase by $49.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given the frozen yogurt store charges C dollars for w ounces of frozen yogurt, C can be modelled by C = 49w+80/100. Therefore, for every increase of 1 ounce in frozen yogurt the cost will increase by $49.
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