Answer:
Step 1: It should be m∠m + m∠n + m∠o = 180° (sum of angles in a triangle)
Step-by-step explanation:
He made the mistake in Step 1: m∠m + m∠n + m∠p = 180°
It should be m∠m + m∠n + m∠o = 180°
Then only, he can equate it with m∠o + m∠p in step 3.
So, m∠p is the exterior angle and m∠m and m∠n are the two remote interior angles.
m∠o is the adjacent angle to m∠p. They form a linear pair.
Hence, the correct answer is Step 1.
If i understand the machine correctly and -3 is x and 8 is the final answer, f(x)=x+11
Answer:
Step-by-step explanation:
This can be broken down into a square and a rectangle.
A=5(5)+(12)(8-5)
A=25+12(3)
A=25+36
A=61 u^2
Answer:
The correct answer is 25
Step-by-step explanation:
See the attached figure.
SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.
So, if ΔONM similar ΔSRQ by the SAS similarity theorem
∴∠N = ∠R
And
given that NM = 10 , NO = 8 , QR = x , RS = 20
∴
∴
So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25
