Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
We are given a circle with the equation:
And we want to select the statements that are true.
First, we can convert the equation into standard form. We can group each variable:
And complete the square for the first term:
Factor and simplify:
We can rewrite our equation as:
So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.
In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).
Answer:
Option 3) 24 is right.
Step-by-step explanation:
Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm
Also MO is the angle bisector of angle M.
By applying angle bisector theorem for triangles we get
LM/MN = LO/NO
i.e. x/12 = 14/7
Simplify to get x = 24
Hence option 3 is right
Verify:
Check whether angle bisector theorem is true.
The proportion LM/MN =24/12 = 2
The proportion LO/NO =14/7 =2
Both are equal and hence verified
Answer:
Step-by-step explanation:
m∠2 ≅ m∠7 [Alternate exterior angles]
m∠7 + m∠8 = 180° [Linear pair theorem]
m∠2 + m∠8 = 180° [Substitution property]
∠2 and ∠8 are supplementary [Definition of supplementary angles]
Step-by-step explanation:
Hello there!
Again, just double the given sides.
20+38=58 cm
:)
