What is the reason for step 3 of this proof?
2 answers:
We have to prove that Quadrilateral ABCD is a parallelogram.
The third step is m AEB = mCED
As ABCD is a quadrilateral, the point of intersection of diagonals being E.
In the first step while proving it is written that Diagonals bisect each other i.e
AE = EC and BE= ED
After drawing the quadrilateral it is being found that ∠AEB and ∠CED are vertically opposite angles.
Out of the given five options option (D) is the correct option. which is vertical angles theorem.
vertical angle theorem states that if two lines intersect at a point ,then their vertically opposite angles are equal.
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Answer:
<h2><u><em>THERES UR ANSWER AND I HOPE I AM RIGHT AND PLS GIVE ME BRAINLIEST!</em></u></h2>Step-by-step explanation:
Answer:
<em>The circle has a radius of 41 inches</em>
Step-by-step explanation:
<u>Circles</u>
There are certain relations in a circle that help us to identify and calculate some of its characteristics.
The figure shows a circle with three parameters which will lead us to determine its radius. First, we have a chord that measures 80 inches. Since it doesn't go through the center of the circle, it's not the diameter.
But we also have the distance from the center to the chord, making a right angle with it. This makes the chord be divided into two equal parts of 40 inches each.
Now we form a right triangle joining the center to one of the extremes of the chord. The hypotenuse of this triangle is the required radius of the circle. Like every right triangle, this must comply with Pithagora's theorem:
where r is the hypotenuse and x, y are the legs or the smaller sides of the triangle. We have determined that x=9, y=40 (or vice-versa, it doesn't matter). Therefore
Solving for r
The circle has a radius of 41 inches
Bob need to paint 205 square feet.
Solution:
Length of the door = 7 ft
Breadth of the door = 5 ft
Area of the door = length × breadth
= 7 × 5
= 35
Area of the door = 35 ft²
The given image is a trapezoid.
Top base = 12 ft
Bottom base = 20 ft
Area of the trapezoid =
= 240
Area of the trapezoid = 240 ft²
Surface area to paint = Area of the trapezoid – Area of the door
= 240 ft² – 35 ft²
= 205 ft²
Hence Bob need to paint 205 square feet.