Answer:
Answer: D) 3.75
Step-by-step explanation:
According to the Insersecting chords theorem, when you multiply the lengths of the segments of one of the chords in a circle, the product obtained is equal to the product of the segments of the other chord.
Based on this, you can find the value of "x" with:
Solve for "x" (Applying the Division property of equality, you can divide both sides of the equation by 4). Then:
This value matches with the option D.
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3w +2 =7w
-3w -3w
2=4w
Divide each side by 4
1/2=w
Check your answer:
3 (1/2) + 2 = 7 (1/2)
(3/2) + (4/2) = (7/2)
(7/2) = (7/2)
Hope this helps.
Answer:
3
Step-by-step explanation:
3x-3=2x
3x-2x=3
x=3
I used to hate fractions. But in time, you learn to love them. This is because there's a big difference between fractions and decimals, even though when you divide the actual fraction it comes out to a decimal. Decimals go on and on sometimes, and it would be impossible to write out all those numbers, especially when taking a timed test, for example. Fractions, in this case, would be much more useful (as long as you know how to use them to your advantage). Fractions are basically all those decimal numbers wrapped up into a single, simple division. It makes the outcome of your answer much more accurate than if you estimate every decimal you get throughout a math problem. The more you estimate throughout the problem-solving process, the less accurate your final answer will be. Hence why teachers will usually tell you to estimate when you're putting down the final answer. Fractions are complex at times, so it may be easier to use them in decimal form for certain situations (especially if the decimal form is short and sweet). A world without fractions will result in many, many inaccurate situations involving mathematical knowledge.
Answer:
AB = 3.16 units
Step-by-step explanation:
Given:
A(3, -1) and B(6, 0)
To Find:
AB = ?
Solution:
AB = root{(x2 - x1)^2 + (y2 - y1)^2}
AB = root{(6 - 3)^2 + (0 - (-1))^2}
AB = root{(3)^2 + (0 + 1)^2}
AB = root{9 + (1)^2}
AB = root{9 + 1}
AB = root 10
Therefore, AB = 3.16 units
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