Answer:
Step-by-step explanation:
4x + 3y = 24
4x - y = 8
4x + 3y = 24
-4x + y = -8
4y = 16
y = 4
4x - 4 = 8
4x = 12
x = 3
(3, 4)
Answer:
it would be
B. y + 5 = 2(x + 6)
if there is a negative number and you are subtracting it turns positive
Step-by-step explanation:
Answer:
D:15
Step-by-step explanation:
You divide thirty by two and get 15.
Answer:
Option A is correct.
Step-by-step explanation:
If Δ YES ∼ Δ NOT, then it means that ΔYES and ΔNOT are similar triangles.
The similar triangles means that all the corresponding angles of the two triangles are same i.e. ∠ Y = ∠ N, ∠ E = ∠ O and ∠ S = ∠ T
Therefore, according to the property of similar triangles we can write that
.
Therefore, option A is correct.
Answer:
3 triangles
Step-by-step explanation:
Perimeter of triangle = a + b + c
Given that :
P = 12
and a, b, c are natural numbers
Let :
Side A = a
Side B = b
Side C = 12 - (a + b)
Side A + side B > side C - - - (condition 1)
a + b > 12 - (a + b)
a + b > 12 - a - b
a + a + b + b > 12
2a + 2b > 12
2(a + b) > 12
a + b > 6
Side A - side B < side C
a - b < 12 - (a + b)
a - b + a + b < 12
2a < 12
a < 6
b < 6 (arbitrary point)
Going by the Constraint above :
The only three possibilities are :
(2, 5, 5)
(3, 4, 5)
(4, 4, 4)
Total number of triangle = 3
Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1
Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1
