Question 10: 2/5 < 1/2
Question 11: 2/8 < 1/3
Answer:
ST = 12 units
Step-by-step explanation:
As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.
If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST
Using a rule of three with the sides of the triangle (as they are proportional), we have:
RS / ST = AR / ET
(21 - ST) / ST = 6 / 8
4 * (21 - ST) = 3*ST
84 - 4*ST = 3*ST
7*ST = 84
ST = 12 units
Answer:
Option D is correct
The approximate liquid volume of 5 of these bottles is, 15,000 milliliters.
Step-by-step explanation:
Given the statement: The liquid volume of Eric's water bottle is 3 liters.
Using conversion:
1 liters = 1000 milliliters
Convert 3 liters into milliliters;
using above conversion:
3 liters = 
milliliters.
To find the volume of liquid in 5 of these bottles in milliliters:
Volume of liquid in 1 bottle is, 3000 milliliters.
then;
Volume of liquid in 5 bottles = 
milliliters.
Therefore, approximate liquid volume of 5 of these bottles is, 15,000 milliliters
Answer:
<h3><em>
(12, -6)</em></h3>
Step-by-step explanation:
The formula for calculating the midpoint of two coordinates is expressed as shown;
M(X, Y) = [(x1+x2)/2, (y1+y2)/2]
Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;
X = (x1+x2)/2
Y = (y1+y2)/2
From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;
X = (x1+x2)/2
6 = (0+x2)/2
cross multiply
12 = 0+x2
x2 = 12-0
x2 = 12
For 2;
Y = (y1+y2)/2
-2 = (2+y2)/2
cross multiply
-4 = 2+y2
y2 = -4-2
y2 = -6
<em>Hence the other endpoint S(x2, y2) is (12, -6)</em>
<em></em>
