Answer: The length of AC is 18 ft.
Step-by-step explanation:
By the given diagram,
AM = MB and CN = NB
M and N are the mid points of the sides AB and CB respectively,
Thus, by the mid point theorem,
MN ║ AC,
By the alternative interior angle theorem,
∠BMN ≅ ∠BAC
∠BNM ≅ ∠BCA
Thus, by AA similarity postulate,
ΔBMN ≅ ΔBAC
By the property of similar triangles,
Thus, The length of AC is 18 ft.
Answer: w = 4
Step-by-step explanation:
Let the unknown number be w , then
the product of w and 3 = 3w
Nine less than the product of 3 and the number = 3w - 9
completing the equation , we have
3w - 9 = 4
add 9 to both sides
3w = 13
w = 13/3
w = 4
She posted 2/5 of them
90 times 2/5=180/5=36
she posted 36
90-36=54
she posted 2/3 of remaining (54)
2/3 times 54=108/3=36
54-36=18
she has not yet posted 18 of them
3x+4y=-36
First we need to put this in slope-intercept form. Start off by subtracting 3x from both sides.
4y= -3x+36
Now divide both sides by 4
y= -3/4x+9
Now, graph the equation and go from there. Your answer will be x=12 and y=9
