Answer:
The measure of
.
Step-by-step explanation:
Given,
AB║CD and
m∠2 = 60°
Solution,
Since, in the figure given in attachment line segment AB is parallel to line segment CD. And t is the transversal line.
The theorem of parallel lines states that,
"If two lines are parallel and cut by a transversal line then the pair of corresponding angles are congruent."
So according to the theorem of parallel lines,∠2 and ∠6 makes a pair of corresponding angle.
And the measure of corresponding angle is equal.
So, m∠2 = m∠6

Thus the measure of
.
Answer:
Ram: 21, Hari: 12
Step-by-step explanation:
To solve the problem, we can use the following notation. We call:
= Ram's age at present
= Hari's age at present
We know that:
- Ram is 9 years older than Hari --> mathematically, this can be written as

- Three years ago, Ram was two times as old as Hari was --> mathematically, this can be written as

where (r-3) is Ram's age 3 years ago, while (h-3) is Hari's age 3 years ago
Substituting eq.(1) into eq.(2), we find:

So, Hari's age is 12; therefore, Ram's age is
Answer:
(3/5)x+1/4=(3/4)x-2/5
<=> (3/5)x - (3/4)x= -2/5 - 1/4
<=> x(12/20 - 15/20) = -13/20
<=> x(-3/20) = -13/20
<=> x = 13/3
Step-by-step explanation:
Answer:
C. X=6
Step-by-step explanation:
Length of one side =52/4= 13
3X-5= 13
3x = 13+5
X= 18/3
X= 6