Answer:
Step-by-step explanation:
Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.
ACD = BDC Properties of parallel lines.
DC = DC A line is equal to itself
DBA = CAB Property of parallel lines.
AC = DB Parts of Congruent triangles are congruent
3x + 15 = 7x - 9 Add 9 to both sides
3x + 15 + 9 = 7x
3x + 24 = 7x Subtract 3x from both sides.
24 = 7x - 3x
24 = 4x Divide by 4
24/4 = 4x/4
x = 6
Answer:
Evan's recipe
Step-by-step explanation:
Given that:
Evan's recipe :
5 cups of milk for every 4 teaspoons of chocolate syrup
Carter's recipe:
3 cups of milk for every 2 teaspoons of chocolate syrup.
Recipe with the stronger tasting chocolate milk:
Take the ratio of cups of milk to teaspoons of chocolate syrup:
Evan's :
5 / 4 = 1.25
Carter's :
3 /2 = 1.5
Evan's recipe has the stronger tasting chocolate milk recipe :
5 milk cup = 4 chocolate spoons
Number of chocolate milks for 3 milk cups = x in Evan's recipe
5 = 4
3 = x
5x = 12
x = 12/5
x = 2.4 teaspoons
This is 2.4 spoons compared Carter's recipe which uses 2 spoons for every 3 milk cups
Answer:
You can look at the screenshot
Step-by-step explanation:
So one point of the line is (0, -4) and another point is (4/3, 0). Plot these points on a graph and draw a line.
0, -4 is from making x = 0, and then 4/3, 0 is from making y = 0.
A. It describes guidlines for moral behavior.
The answer would be the top right graph where none of the lines intersect since it shows that there is no possible real solutions for the system if none of the lines intersect on a certain point.
Remember: If the lines intersect, there is a solution; if the lines do not intersect, there is no solution; if the lines fall on the same line, or the equations are equivalent, then the solution is all real numbers.