1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP
If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8
2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2
Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4
FC= 2/(1+2) * AC
FC= 2/3 * 12= 8
3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2
DC=3x+12= 3(-2) +12= 6
4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3
C
BC lines slope would be (-1)-(-1)/4 = 0/4.
The line would be
0=x+a
a=-1
0=x-1
x=1
y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1
y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)
5.
a. Circumcenter: the intersection of perpendicular bisector lines<span>
b. Incenter: the intersection of bisector lines
c. Centroid: </span>the intersection of median lines<span>
d. Orthocenter: </span>the intersection of altitude lines
Answer:
24 feet 60-36=24
Step-by-step explanation:
Let me know if this is right.
Answer: Y=3, X=5
Step-by-step explanation:
2(2y-1) + 3y=19
4y-2+ 3y=19
7y=21
Y=3
Plug in y in the second equals
X=2(3) -1
X=6-1
X=5
Hope this helps!
Answer:
angle 2 = 37º
Step-by-step explanation:
When two lines intersect they make vertical angles, which are angles directly across from another. Vertical angles are always congruent.
Answer:
The percentage of overdue accounts are held by customers in the "risky credit" category is 62.5%
Step-by-step explanation:
Customers in the "risky" category (25% of total accounts) allow their accounts to go overdue 50% of the time on average.
That means that on average, 12.5% of total accounts is overdue.
0.25*0.50 = 0.125
In the "good credit" category only 10% goes overdue. That means 7,5% of total accounts goes overdue in this category.
0.75*0.10=0.075
The total accounts that go overdue is 0.125+0.075 = 0.200.
The percentage of overdue accounts held by customers in the "risky credit" category is:
0.125/0.200 = 0.625 or 62.5%
