Answer:
ΔNPM and ΔOMP by SAS postulate
B is correct
Step-by-step explanation:
In ΔNPM and ΔOMP
NP = OM (Given)
∠NPM = ∠OMP (Given)
PM = MP ( Common )
So, ΔNPM ≅ ΔOMP by SAS property of concurrency.
ΔNPM and ΔOMP are congruent because their two side and angle between them are equal.
Therefore, SAS postulate use here
Hence, ΔNPM and ΔOMP by SAS postulate
Answer:
Since the points X , Y and Z are collinear:
For the diagram, you just have to draw a line and mark the end-points of the line as X and Z and mark the mid-point of the line as Y
Since we are given that XY = YZ,
We will replace with the provided values:
XY = YZ
<em>4(x + 5) = 2(x + 11)</em>
<em>4x + 20 = 2x + 22</em>
<em>2x = 2</em>
x = 1
Since x = 1 and XY = YZ,
We can say that:
XZ = XY + YZ
XZ = XY + XY or XZ = 2XY
Now, replacing the variables for the value of XZ
XZ = 2XY
XZ = 2(4x + 20)
XZ = 2(4 + 20) (Since x = 1)
XZ = 48 units
Answer:
1 1/8
Step-by-step explanation: