<h2>
Answer and Explanation to questions 13,14,15</h2>
13) 
as given in the question.
14) 
Since Y is the midpoint of XZ. So, Y will divide XZ in equal halves into XY and YZ.
15) 
and 
. So, 
<h2>
Answer and Explanation to questions 16,17,18</h2>
∠3 is supplementary to ∠1 means: ∠3 + ∠1 = 180°
And, according to figure ∠1 + ∠2 = 180° as ∠1 and ∠2 form a straight line.
∠3 + ∠1 = 180° .............(i)
∠1 + ∠2 = 180° .............(ii)
subtracting equation (i) and (ii) will give ∠3 = ∠2 ..........(iii)
15) ∠3 is supplementary to ∠1 as given in the question
16) ∠2 is supplementary to ∠1 as shown be equation (ii)
18) ∠3 ≅ ∠2 as shown by equation (iii)
<h2>
Answer and Explanation to questions 19</h2>
∠3 and ∠4 form a straight line. Therefore, ∠3 + ∠4 = 180° .......(i)
∠4 and ∠5 form a straight line. Therefore, ∠4 + ∠5 = 180° .......(ii)
subtracting equation (i) and (ii)
∠3 + ∠4 - (∠4 + ∠5) = 180°-(180°)
∠3 + ∠4 - ∠4 - ∠5 = 180°-180°
∠3 - ∠5 = 0
∴ ∠3 = ∠5 (Hence Proved)
Answer:
i think 6 years because i always used it
Step-by-step explanation:
make me my brainliest answer
Answer:
Step-by-step explanation:
Given
Let the number be x
So:
Required
Using trial and improvement, find x
This implies that we keep guessing the values of x until we get a value that match the equation.
Let
So, we have:
Take the square root of 625
Let
So, we have:
Take the square root of 729
At this point, we can conclude that x is approximately 729 because
So:
We can tell it’s not a permutation because it’s picking two people. Order doesn’t matter.
The number of total possible groups of men is 9 C 2 = 9!/((9-2)!(2!)) = 36
The number of total possible groups of women is 11 C 2 = 11!/((11-2)!(2!)) = 55
55 * 36 = 1980 different groups in the committee
To answer, determine first the length of the arc intercepted by the angle which measures 45°.
Calculate for the circumference of the circle with the equation,
C = 2πr
where C is circumference and r is radius. Substitute the known value for r,
C = 2π(7) = 43.98
Then, multiply the obtained value by the ratio of the angle intercepted and the whole revolution.
Arc = 43.98 x (45°/360°)
Arc = 5.5
The whole perimeter of the sector includes the arc and 2 radii. Hence, the equation for the whole perimeter is,
Perimeter = Arc + 2r
Substituting the values,
Perimeter = (5.5) + 2(7)
Perimeter = 19.50
<em>ANSWER: 19.50 units</em>
