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Free_Kalibri [48]
4 years ago
9

Triangle CDA is the image of triangle ABC after a 180° rotation around the midpoint of segment AC. Triangle ECB is the image of

triangle ABC after a 180° rotation around the midpoint of segment BC.
Part A: Explain why ABCD and ABEC are parallelograms.

Part B: Identify at least two pairs of congruent angles in the figure and explain how you know they are congruent.

Part C: Explain how to use what you know about the sum of the angles in a triangle to figure out the sum of the angles of quadrilateral ABED.
Mathematics
1 answer:
seropon [69]4 years ago
8 0

Answer:equal and parallel opposite sides

Step-by-step explanation:

equal sides

parallel opposite sides

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Please help worth 25 points
wariber [46]

Answer:

h=6 feet

Step-by-step explanation:

Given: 1. The base of a rectangle is three feet longer than its height.

2.Are of the rectangle=54 square meters

Let us say the rectangle has height h and base(breadth) b.

Since, the base of the rectangle is three feet longer than the height, we have b=h+3.

Also, Area of the Rectangle= hb

therefore, 54=h(h+3)

54= h2+ 3h

h2+3h-54=0 (Subtract 54 from both the sides)

To find the value of h we have to solve the quadratic equation.

[We have the equation in the form ax2+bx+c=0, to factorise the equation-

Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.

Step2. Replace b with these numbers.

Step3. Simplify the equation]

So, h2+3h-54=0

h2+9h-6h-54=0

h(h+9)-6(h+9)=0

(h+9)(h-6)=0

Which gives-

h= -9 or h= 6

As h is the height of the rectangle, h can not be -9.

so h=6 feet

and b=h+3=9 feet

So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.

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3 years ago
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