Answer:
The two triangles are related by A - S - A test of similarity , so the triangles are congruent.
Answer:
5 cents
Step-by-step explanation:
Let m = cost per message
450m + 12.5 = 35 subtract 12.5 from both sides
450m = 35-12.5
450m = 22.5 divide both sides by 450
m = 22.5/450
m = .05
The cost is $.05 per message ... 5 cents
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Answer:
Perpendicular lines have slope that are negative reciprocals.
The slope of the perpendicular line is M = -1/3.
Step-by-step explanation:
(4,-1) --> X = 4, Y = -1, M = -1/3
y = Mx + b
-1 = (-1/3)*4 + b
-1 = (-4/3) + b
-3/3 = (-4/3) + b
-3 = -4 + 3b
1 = 3b
b = 1/3
y = (-1/3)X + 1/3
