Answer:
6 quarters and 15 dimes
Step-by-step explanation:
6 quarters = $1.50
15 dimes = $1.50
6 quarters + 15 dimes = $3.00
4 x³ - 8 x² - 12 x =
= 4 x ( x² - 2 x - 3 ) =
= 4 x ( x² - 3 x + x - 3 ) =
= 4 x ( x ( x - 3 ) + ( x - 3 ) ) =
= 4 x ( x - 3 ) ( x + 1 ) ( the factored form )
Patrick because he can run 1 lap in 90 seconds
Short Answer: arc LM = 110°
Comment
Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case down ) are equal. This is a fundamental fact about circles.
Equation
2x + 55 = x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.
Conclusion
Both angles = 55
But that's not what you are asked for.
What you are asked for
You want to know the measure of arc LM.
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of arc LM
Draw a dot where the center of the circle is and call it O. Draw in <MOL
<MOL = 2* either of the 55° = 2 (<LKM) = 2 * 55 = 110° That's a property of the central angle.
The measure of arc LM = 110°
Answer: she needs to save $6510
Step-by-step explanation:
In the first year, she expects her total cost to be $9,850. Wei has already saved $1,220 for college. This means that the remaining amount that she needs would be
9850 - 1220 = $8630
she expects to receive grants and scholarships that total $2,120. Therefore, the amount of money that she should save to be able to pay for her first year of college would be 8630 - 2120 = $6510
