The number representing Liam's share is 2; for Sarah's share, it is 3. The difference of those is 1, so each 1 unit of share must be £30, the difference between the amount Sarah got and the amount Liam got.
Emily got 5 shares or £30 × 5 = £150.
Answer: In-center of the triangle is point N.
Step-by-step explanation:
We are given a triangle △JKL.
In triangle △JKL, they drew perpendicular bisectors of each side of the triangle.
Also we are given angle bisectors of the each of angles in given triangle.
Note: Perpendicular bisector is a line that intersect a segment into two equal parts and also perpendicular to it.
<em>Also note that the in-center is the point forming the origin of a circle inscribed inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.</em>
<h3>We can see that angle bisectors are intersecting at a point N. </h3><h3>
Therefore, in-center of the triangle is point N.</h3>
Circumference one = (2R)*pi let that value be 2x
C second = 5x = (2R)*pi * 5 / 2 = (5R)*pi
So Radius one / Radius two = 2 / 5
Area1:Area2=pi(2R)^2:pi(5R)^2=pi(4R^2):pi(25R^2), pi cancel out we get
4R^2:25R^2, now R^2 cancel out and we get ratio of
4:25
Answer:
57mm
Step-by-step explanation:
C=2(pi)(r)
C=2(3.14)(9)
C=56.52
rounding up, its 57mm
Loan amount, P = 225000
interest = 5.5%/12 per month
Monthly payment, A = 1000
At the end of 30 years,
Future value of loan (with zero repayment)
F1=225000*(1+.055/12)^(30*12)
=1167162.264
Future value of repayment, A=1000 per month
F2=
=
=913611.893
Therefore balloon payment
= F1-F2
=1167162.264-913611.893
=
253550.37 (to the nearest cent)