Answer:
360
Step-by-step explanation:
We need to find the LCM of 18,90 and 24.
The prime factorization of 18 = 2 × 3 × 3
The prime factorization of 90 = 2 × 5×3×3
The prime factorization of 24 = 2 × 3×2×2
LCM is least common multiple.
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 360
Hence, the LCM of 18,90 and 24 is 360.
Answer:
The largest possible value for the third side is 18.
Step-by-step explanation:
Here, the first side of the triangle = 17
Second side of the triangle = 2
Let us assume the third side of the triangle = m
Now, In any given triangle:
"Sum of any two sides of a triangle is strictly greater than the third side."
⇒ Sum of first side + Sum of second side > Third Side
or, m < 17 + 2
or, m < 19
hence, the largest possible value for m = 18
Answer:
C) ∠3 and ∠6 is the CORRECT OPTION.
Step-by-step explanation:
Here, the image is UNATTACHED. Attaching image here for the reference.
Given: JL and MP are parallel.
Alternate Interior angles is a pair of angles formed when there is a common intersecting line between two parallel lines.
As JL and MP are parallel.
and KN is a traversal. So, the pair of Alternate Interior angles so formed are:
a) ∠3 and ∠6
b) ∠4 and ∠5
Now, out of the given options:
A. ∠3 and ∠4 is a LINEAR PAIR
B. ∠1 and ∠6 makes no pair
C. ∠3 and ∠ 6 is a Alternate Interior angles pair
D. ∠5 and ∠6 LINEAR PAIR
Hence, ∠3 and ∠ 6 is a Alternate Interior angles pair.
Subtract 14x from both sides. Then divide both sides by 19

The equation is now in slope intercept form y = mx+b
m = -14/19 is the slope
b = 20/19 is the y intercept