Let us assume that the number of days she practiced the piano to be "d"
Since she practiced 2/3 hours a day, the total number of hours would be: 2/3*d
Now we are given the total number of hours during summer that she practiced be be equal to 32/23
So we equate 2/3 * d to 32/23 to find d
2/3*d = 32/23
d = (32/23)/ (2/3)
d = (32/23) * (3/2)
d = 48/23 hours
The equation that can be used to find the number of days that she practiced piano during the summer is 2/3*d = 32/23
Answer:
m∠ABC = 119° and DC = 105 feet
Step-by-step explanation:
For better understanding of the solution see the attached figure of the trapezium ABCD :
m∠BCD = 61°
By using the property, Sum of interior opposite angles in a trapezium is supplementary ⇒ m∠BCD + m∠ABC = 180°
⇒ m∠ABC = 180° - 61°
⇒ m∠ABC = 119°
Now, to find length of DC,
Draw a perpendicular BE on CD ⇒ CD = DE + EC
AB = DE
⇒ DE = 80 feet
In ΔBEC, By using Pythagoras theorem
EC² = BC² - BE²
⇒ EC² = 65² - 60²
⇒ EC = 25 feet
Hence, DC = 80 + 25
= 105 feet
The problem statement tells you "7 friends were playing basketball".
_____
It appears 5 friends were only playing basketball, 2 friends were playing basketball and having snacks, and 3 friends were only having snacks. Apparently, 10 friends were doing neither of those activities.
Positive and negative doesn’t matter. Steepest slope is the smallest or largest number.
In this case D. -4