Answer:
∠2 = ∠3 is a pair of Vertical Angles.
Step-by-step explanation:
Whenever two lines intersect with each other, the angle formed between them is called Vertically Opposite Angle.
Here, line l intersects the traversal so,
the angle formed between them ∠1 and ∠4 are vertically opposite.
So, ∠1 = ∠4
Also, as ∠1 + ∠3 = ∠2 + ∠4 = 180° (LINEAR PAIRS)
So, ∠3 = ∠2 are also vertical angles.
64
4 x 10 = 40
4 x 6 = 24
(40)+(24) = 64
Answer:
33 cards
Step-by-step explanation:
3 cards already. 5 in 1 hour = 5 x 6 hours = 30 cards + 3 cards
33 cards
9514 1404 393
Answer:
C ≈ 0.00106455765168
Step-by-step explanation:
This is the sum of 13 terms of the geometric series that has 10000C/1.05 as the first term and a common ratio of 1/1.05. The sum S is given by ...
S = a1(1 -r^n)/(1 -r) . . . . a1 is the first term, r is the common ratio
Using the known values, we have ...
100 = (10000C/1.05)(1 -1.05^-13)/(1 -1/1.05))
0.01 = C(1 -1.05^-13)/0.05
C = 0.0005/(1 -1.05^-13) ≈ 0.0005/0.469679
C ≈ 0.00106455765168
This is the concept of algebra, to factor the expression we proceed as follows;
ab+4+a+4b
this can be written as:
ab+a+4+4b
factoring this we get:
a(b+1)+4(1+b)
=(a+4)(b+1)
the answer is (a+4)(b+1)
