Given:
In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and 
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To find:
The 
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Solution:
If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.
We have, DC is parallel to BA and BC is the transversal line.
[Alternate interior angles]
In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.
The base angles of an isosceles triangle are congruent. So,
[Base angles of an isosceles triangle]
Using the angle sum property in triangle AOB, we get
Hence, the measure of angle AOB is 120 degrees.
Twenty four plus (negative nine) minus forty-four plus thirty three minus seventeen.
Answer:
length=53 in
width= 23 in
Step-by-step explanation:
First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:
We factorize the 6 and we get:
Finally we solve for x, and we get the initial dimensions of the piece of metal:
Simple....
3x-10(x+2)=13-7x
Just solve for x.....
3x-10x-20=13-7x
-7x-20=13-7x
+7x +7x
-20=13
NO SOLUTION.
Thus, your answer.
to change any decimal to a fraction, we simply <u>use as many zeros on the denominator as there are decimals and lose the dot</u>.
1.18 has two decimals, so we'll use two zeros at the bottom, and lose the dot.
