Answer:
EF is 4 units.
Step-by-step explanation:
It is given that the two triangles 
are congruent to each other i.e.
Coordinates are given as:
A(-1,1)
B(2,4)
C(3,1)
As per the property of congruence, all the corresponding sides and angles of the two triangles are equal to each other.
i.e. AB = ED
BC = DF
AC = EF
We are given with the coordinates of points A, B and C here from which we can easily calculate the side AC using the distance formula.
Where 
are the coordinates of the two points whose distance is to be calculated.
So,
Hence, <em>AC = EF = 4 units</em>
Answer:
2/33
Step-by-step explanation:
Chance of rolling a 1 is 1/33, chance of rolling a 2 is also 1/33. so add the probabilities 1/33 + 1/33 =2/33
Answer:
Step-by-step explanation:
25.
x + 2x -75 = 90
3x = 90+75
3x = 165
x = 55
Measure of A = 55
Measure of B = 2(55) - 75 = 110 - 75 = 35
28.
2x+10-x+55 = 90
x = 90-65
x = 25
measure of A = 2(25) +10 = 60
measure of B = -25+55 = 30
31.
2x+3+3x - 223 = 180
5x -220 = 180
5x = 400
x = 80
measure of A = 163
measure of B = 17
32.
-4x+40+x+50 = 180
-3x +90 = 180
-3x = 90
x= -30
measure of A = -4(-30) +40 = 160
measure of B = -30+50 = 20
Just multiply by 0.15 to get the tip amount and add to your original number. This gives you 32.43
Answer:
24.98 units
Step-by-step explanation:
The picture of the question in the attached figure
we have the coordinates
P(1,-6),D(4,3),O(7,-6)
The perimeter of triangle OPD is equal to
the formula to calculate the distance between two points is equal to
step 1
Find the distance OP
we have
O(7,-6),P(1,-6)
substitute in the formula
step 2
Find the distance PD
we have
P(1,-6),D(4,3)
substitute in the formula
step 3
Find the distance OD
we have
O(7,-6),D(4,3)
substitute in the formula
step 4
Find the perimeter
