Answer:
116−−√
110−−√
14√
18√
Step-by-step explanation:
Answer:
Option (4)
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles."
In the triangle ABC,
∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.
m∠ACD = m∠BAC + m∠ABC
95° = m∠BAC + m∠ABC
Therefore, Option (4) will be the correct option.
Answer:

Step-by-step explanation:
=> 
<u>Using Formula</u> 
<u><em>Where </em></u>
a = 249
b = 248
=> 
=> 
=> 497
Answer:
Step-by-step explanation:
Given
there are six integers to win a lottery
case-1 Integer not exceeding 40
no of ways to choose 6 incorrect numbers


Case-2 no of ways to choose 6 incorrect numbers out of 48 integers


Case-3 no of ways to choose 6 incorrect numbers out of 56 integers


Cae-4 no of ways to choose 6 incorrect numbers out of 64 integers


Answer: The answer is (B) ∠SYD.
Step-by-step explanation: As mentioned in the question, two parallel lines PQ and RS are drawn in the attached figure. The transversal CD cut the lines PQ and RS at the points X and Y respectively.
We are given four angles, out of which one should be chosen which is congruent to ∠CXP.
The angles lying on opposite sides of the transversal and outside the two parallel lines are called alternate exterior angles.
For example, in the figure attached, ∠CXP, ∠SYD and ∠CXQ, ∠RYD are pairs of alternate exterior angles.
Now, the theorem of alternate exterior angles states that if the two lines are parallel having a transversal, then alternate exterior angles are congruent to each other.
Thus, we have
∠CXP ≅ ∠SYD.
So, option (B) is correct.