Answer:
<h2>
perimeter of △SMP = 25</h2>
Step-by-step explanation:
The perimeter of the triangle △SMP is the sum of al the sides of the triangle.
Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.
Given LM=9, NR=16 and SR=8
NR = NP+PR
Since NP = PR
NR = NP+NP
NR =2NP
NP = NR/2 = 16/2
NP = 8
From △LSM, NP = PR = <u>MS</u><u> = 8</u>
Also since LM = MN, MN = 9
From △SRP, SR = RP = <u>PS = 9</u>
Also SR =<u> MP = 8</u>
From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
perimeter of △SMP = 8+8+9
perimeter of △SMP = 25
Answer:
x = ±
Step-by-step explanation:
We have been given the quadratic equation;

The first step is to subtract 50 from both sides of the equation;


Multiplying both sides by -1 yields;

The final step is to obtain square roots on both sides;

Therefore, x = ±
Answer:14
Step-by-step explanation:
P(B) = 2/15
The area of rectangle A is 5(7) = 35 in².
The area of rectangle B is 3(4) = 12 in²
The area of square C is 4(4) = 16 in²
The area of rectangle D is 3(9) = 27 in²
The total area of the figure is 35+12+16+27 = 90 in².
The probability of hitting B is 12/90 which simplifies to 2/15.