Step-by-step explanation:
um I will help mmmmmmmmmm
Answer:
Option (3)
Step-by-step explanation:
To prove ΔULV ≅ ΔKLY,
Statements Reasons
1). VL ≅ LY 1). Radii of a circle are equal
2). UL ≅ KL 2). Radii of a circle are equal
3). ∠ULV ≅ ∠KLY 3). Vertical angles are equal
4). ΔULV ≅ ΔKLY 4). SAS property of congruence
Therefore, property (3) given in the options will be used to prove the triangles congruent.
Answer:
The equation of the line in point slope form is equal to

Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
Find the slope
The formula to calculate the slope between two points is equal to

we have
(-2,-2) and (2,2)
substitute the values

step 2
Find the equation of the line in point slope form

we have

substitute the values in the formula


Answer:
Therefore the given vectors are orthogonal for b = 0,±3.
Step-by-step explanation:
If
and
are two vectors orthogonal, then the dot product of
and
will be zero.
i.e 
If
and 


Given two vectors are (-18,b,9) and (b,b²,b)
Let

and

Therefore,


=(-18).b+b.b²+9.b
= -18b+b³+9b
= b³-9b
Since
and
are orthogonal. Then
= 0.
Therefore,
b³-9b= 0
⇒b(b²-9)=0
⇒b =0 or b²=9
⇒b=0 or b =±3
Therefore the given vectors are orthogonal for b = 0,±3.
Answer:
AM = 38
Step-by-step explanation:
Since A is the midpoint of JM, then
JA = AM = 6x - 4 , and
JA + AM = JM ← substitute values
6x - 4 + 6x - 4 = 9x + 13, that is
12x - 8 = 9x + 13 ( subtract 9x from both sides )
3x - 8 = 13 ( add 8 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Hence
AM = 6x - 4 = (6 × 7) - 4 = 42 - 4 = 38