3/4 = 0.75
each friend gets 0.75 of a bar
Consecutive integers are one apart from each tother
they are
x,x+1,x+2
sum is -30
x+x+1+x+2=-30
3x+3=-30
minus 3 both sides
3x=-33
divide 3
x=-11
find rest
x+1=-11+1=-10
x+2=-11+2=-9
they are
-9,-10,-11
Henry slept for 10 and a half hours
Answer:

Step-by-step explanation:
Since the smaller triangles have a side of the same length, they share one side, and the included angle is 90°, the triangles are congruent.
This means the length of the side to the left is also x as shown in the image below.
The bigger triangle is also right and has side lengths of x, x, and 6 (the hypotenuse), thus:

Operating:


Since 18=9*2


The options are not clear enough, so I cannot make a choice.
<em>Question:</em>
<em>Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of PR is equal to the slope of RT?</em>
Answer:

Step-by-step explanation:
See attachment for complete question
From the attachment, we have that:





First, we need to calculate the slope (m) of PQR
Here, we consider P and R

Where


becomes
--------- (1)
Next, we calculate the slope (m) of RST
Here, we consider R and T

Where


becomes
---------- (2)
Next, we equate (1) and (2)

<em>From the list of given options (see attachment), option A answers the question</em>