Antonio is going to make a new summer drink. He needs 1/3 of a glass of orange juice and 2/4 of a glass of lime juice. The rest
2 answers:
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Answer: A. 32
Concept:
Here, we need to know the idea of the intersecting chord theorem and segment addition postulate.
The<u> intersecting chord theorem </u>states that when two chords intersect at a point, P, the product of their respective partial segments is equal.
The<u> Segment Addition Postulate</u> states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
<u>Given information</u>
CW = 12
TW = 14
VW = 2x + 5
UW = 2x + 2
<u>Given expression deducted from intersecting chord theorem</u>
CW · VW = TW · UW
<u>Substitute values into the expression</u>
(12) · (2x + 5) = (14) · (2x + 2)
<u>Expand parentheses and apply the distributive property</u>
24x + 60 = 28x + 28
<u>Subtract 14x on both sides</u>
24x + 60 - 24x = 28x + 28 - 24x
60 = 4x + 28
<u>Subtract 28 on both sides</u>
60 - 28 = 4x + 28 - 28
32 = 4x
<u>Divide 4 on both sides</u>
32 / 4 = 4x / 4
x = 8
<u>Given expression deducted from the segment addition postulate</u>
UT = UW + TW
<u>Substitute values into the expression</u>
UT = 2x + 2 + 14
<u>Substitute x value into the expression</u>
UT = 2 (8) + 2 + 14
UT = 16 + 2 + 14
<u>Combine like terms</u>
UT = 32
Hope this helps!! :)
Please let me know if you have any questions
Answer:
22 Feet
Step-by-step explanation:
All the lengths of a square are the same length.
The area of a square is the length times the width. The length and the width are the same measurement. So, we are looking for the square root of 479.
21.88606863 is as far as my calculator goes. This is an irrational number. That means that it never repeats or terminates as a decimal. They tell us to answer to the nearest foot. That would be 22 feet.