Answer:
4.62 cm to nearest hundredth.
Step-by-step explanation:
If the parallel sides are x and y then:
x + y = 2*8 = 16
x + y = 16
If we drop a perpendicular line from one of the upper points on the trapezoid we have the height. Let the upper point be C and the point on the base be A. Let the point on right of the base be B.
AC is the height of the trapezoid. AB is the baseline of the triangle CAB.
In triangle CAB the angle B is 30 degrees.
As this is a 30-60-90 degree triangle
AC/AB = 1/√3 so AC = AB/ √3.
As the trapezoid is isosceles:
AB = x + 0.5(y - x)
AB = 0.5x + 0.5y
So AC = 1 /√3 (0.5x + 0.5y)
= 1 /√3 (0.5x + 0.5(16 - x)) (Substituting for x)
= 1 /√3 (0.5x + 8 - 0.5x)
=8 / √3
. = 4.6188 cm
P + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
A bag of chips costs $1
A pickle costs $1.25
<span>Rigid motion of a plane is a transformation where the original and new image are congruent. In short, it's also known as isometry.
In the case above, ΔDWP is presumed to be congruent to </span><span>ΔMJS. Rigid motions involved here are translation and rotation.
In translation, you are basically sliding/moving the figure. </span>ΔDWP is moved five (5) units down then one (1) unit to the left. Thereby, coinciding point W of ΔDWP and point J of ΔMJS.<span>
Next rigid motion used is rotation. The figure is simply rotated approximately 90 degrees thereby coinciding all points of </span>ΔDWP to ΔMJS<span>.
To check for congruency by just merely looking on the plane, compare the lengths of the sides of the triangles.
side DW = side MJ = 2 units
side WP = side JS = 4 units
side PD = side SM = 5 units
Therefore, we can say that </span>ΔDWP is congruent to ΔMJS.<span>
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Answer:
Add up all the numbers, then divide by how many numbers there are
Step-by-step explanation: