Answer:
°
Step-by-step explanation:
1. Approach
In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).
2. Arc (a) and arc (c)
A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:

3. Finding the degree measure of arc (a),
The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:

Substitute,


Simplify,



Answer:
The value of y is 847 for x=11
Step-by-step explanation:
It is given that y is directly proportional to the square of x
This can be written mathematically as:

Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k

Given that "When x is 5, y is 175"

Putting the value of k

Now putting x = 11

Hence,
The value of y is 847 for x=11
Set up a proportion.
pounds / milligrams of medicine
195/279 = 130/x
195x = 279 times 130
195x =36,270
x = 36,270/195
x = 186
A patient weighing 130 pounds needs 186 milligrams of medicine.
Answer:
Yes, it's true
Step-by-step explanation:
A fraction is a part of a whole number for example 1/2. 1/2 is a half of one whole piece and if you multiply it into any whole number whether it's 2,4,6,8,10...... basically, if you multiply a fraction less than one with a non-zero whole number, it will always be less than the whole number it's being cut into smaller pieces. However, if the fraction is greater than 1, we would technically have an answer greater than the whole number product, just something to remember.
Answer:
Step-by-step explanation:
The natural numbers can be :
076
067
706
760
607
and 670
Hope this helps
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