Answer:
Option (4).
Step-by-step explanation:
In the figure attached,
Two right triangles ΔXYZ and ΔTUV have been given,
Given:
1). m∠Y = m∠U = 30°
2). m∠Z = m∠V = 60°
3). m∠X = m∠T = 90°
For congruence of two right triangles, measure of at least one side should be known along with the measure of angles (LA, HA, LL, HL properties of congruence).
Therefore, these triangles may be similar but not congruent.
Option (4) is the correct option.
Answer:
Perimeter= πd or Perimeter= 2πr
Step-by-step explanation:
d= diameter
r = radius
Answer:
k = (6/15)
Step-by-step explanation:
The equation is:
6*(x + 1) + 2 = 3*(k*5*x + 1) + 3
To have no solutions, we need to have something like:
x + 7 = x + 4
where we can remove x in both sides and end with
7 = 4
So this equation is false, meaning that there is no value of x such that this equation is true, then the equation has no solutions.
First, let's try to simplify our equation:
6*(x + 1) + 2 = 3*(k*5*x + 1) + 3
6*x + 6 + 2 = 3*k*5*x + 3*1 + 3
6*x + 8 = 15*k*x + 6
if 15*k = 6, then the system clerly has no solution.
then:
k = 6/15
then we get:
6*x + 8 = (6/15)*15*x + 6
6*x + 8 = 6*x + 6
8 = 6
The system has no solutions.
