Answer:
the mid point is where the bisector and the line intersect
Step-by-step explanation:
A segment bisector is a line (or part of a line) that passes through the midpoint. When two segments are congruent, we indicate that they are congruent with segment markings.
Answer: See explanation
Step-by-step explanation:
Let the number of hamburger he ate on Monday be represented by x.
Monday = x
Tuesday = 0
Wednesday = x + 4
Thursday = 0
Friday = 3(x + 4)
Total hamburgers ate = 26
To find the amount of hamburger ate each day we add the number of hamburger ate per day all together. This will be:
= x + 0 + x + 4 + 0 + 3(x+4) = 26
2x + 4 + 3x + 12 = 26
5x + 16 = 26
5x = 26 - 16
5x = 10
x = 10/5
x = 2
Monday = x = 2 hamburgers
Tuesday = 0
Wednesday = x + 4 = 2 + 4 = 6 hamburgers
Thursday = 0
Friday = 3(x + 4) = 3(2 + 4) = 18 hamburgers
Answer:
the length of the table is 108 inches
Let's make,
mechanic #1's rate = x
mechanic #2's rate = y
* Their rate is dollars per hour ($/hr)
mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1
and mechanic #2 worked for 5 hours
5y = money earned by mech#2
together they charged a total of $1150. So the amount of money earned by both mechanics.
20x + 5y = 1150
the sum of the two rates was $95 per hour.
x + y = 95
which means
x = 95 - y
plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.
20(95 - y) + 5y = 1150
solve for y
1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr
Now use this to solve for x
x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr
mech#1 charged 45$/hr
mech #2 charged 50$/hr
Answer:
Up
Step-by-step explanation:
Y= 1x^2 + 3x + 9
Y= Ax^2 + Bx + C
To determine which way a parabola opens just look at the coefficient (the number) of the x^2 - Always use the coefficient that is beside the x^2
So, if the coefficient A is positive the parabola is opening upward
if the coefficient A is negative the parabola is opening downward