Two at the top (side by side)
Two at the bottom ☝
One on right side
One on left side
And grandfather in the middle
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:
n = - 4
Step-by-step explanation:
note that 625 = 
, then
= 
= 
Since the bases on both sides are equal, both 5 then equate the exponents
n = - 4
Answer:
48, 55, 56, 68, 74, 78, 83, 85, 99
Mean: 71.77777777777777777..........
Median: 74
Mode: mode is the number seen the most, but there is no repeating values
Range: 51
Step-by-step explanation:
<u>Mean:</u>
add all the values together, and divide by how many values you have, so 646/9= 71.777777777............
<u>Median:</u>
the number in the middle of the sequence
<u>Range:</u>
the difference between the largest and smallest numbers/values.
I hope this helps u pls give a brainliest and a thx ;)
Answer:
47/10 = 4 7/10
Step-by-step explanation:
3 2/5 + 1 3/10
1. Write mixed numbers as improper fractions:
17/5 + 13/10
2. Write equivalent fractions with a common denominator:
34/10 + 13/10
3. Add the numerators over the common denominator.
47/10
4. Simplify.
4 7/10
