The radius of a circle is 5 feet. What is the circumference?
1 answer:
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Answer:
The correct equation is "y=30x+6147". A further explanation is given below.
Step-by-step explanation:
The given values are:
(x1, y1) = (50, 7647)
(x2, y2) = (100, 9147)
As we know,
The slope is,
⇒
On substituting the given values, we get
⇒
⇒
⇒
Now,
⇒
On substituting the given values in the above equation, we get
⇒
⇒
On adding "7647" both sides, we get
⇒
⇒
There are several ways two triangles can be congruent.
<em> congruent by SAS</em>
<em> congruent by corresponding theorem</em>
In and
(see attachment), we have the following observations
--- Because O is the midpoint of line segment AD
--- Because O is the midpoint of line segment BC
---- Because vertical angles are congruent
---- Because vertical angles are congruent
Using the SAS (<em>side-angle-side</em>) postulate, we have:
Using corresponding theorem,
---- i.e. both triangles are congruent
The above congruence equation is true because:
- <em>2 sides of both triangles are congruent</em>
- <em>1 angle each of both triangles is equal</em>
- <em>Corresponding angles are equal</em>
See attachment
Read more about congruence triangles at:
Answer:
z =
Step-by-step explanation:
The ratio of corresponding sides are equal, that is
=
( cross- multiply )
12z = 200 ( divide both sides by 12 )
z = =