Answer:
If two angles are acute angles, then they are complementary. Incorrect. The converse is “If two angles are complementary, then they are acute angles” which is true and the original statement was false because two acute angles are not always complementary.
Step-by-step explanation:
Answer:
7/27 pizza's were pepperoni and 20/27 pizzas did not have pepperoni
Step-by-step explanation:
Answer:
[6.5,-7.25]
Step-by-step explanation:
Given the partitioning ratio as 3:1
#Find the length of the x-coordinate and multiply by the ratio:
x length=9--1=10
=>
#We subtract 2.5 from the x-max to get the point=9-2.5=6.5
#Find the length of the y-coordinate and multiply by the ratio:
x length=-9--2=-7
=>
#We subtract -1.75 from the y-max to get the point=-9--1.75=-7.25
Hence, the coordinates that partitions the segment into a ratio of 3 to 1 is [6.5,-7.25]
Step-by-step explanation:
Option D is the correct answer because we will cross multiply
4/6 = 9/x
4x = 54
X = 27/2
Answer:
C. 8 bounces
Step-by-step explanation:
To solve this, you can write an equation before turning it into an inequality:
y = 212*(1/2^x)
(x is bounces, y is height)
Now you can change it into an inequality to fit the height of less than 1:
1 > 212*(1/2^x)
In order for the right side of the equation to be less than 1, 2^x must be greater than 212 (because 212*(1/212) is 1, so if the denominator is greater, it'll be less than 1). 2^8 is 256, which is greater than 212, so that means x is 8.
Because x represents bounces, that means the ball's height will be under 1 foot after 8 bounces.
