Answer:
Explanation:
We have triagle ABC bisected by angle AD, like is shown in the image.
A bisector angle is a line which cuts an angle into two equal halves.
So:
BC = BD + DC ∴ 19 =BD + DC ⇒ BD = 19 - DC (1) because D cuts BC in 2 parts.
By angle bisector theorem: the ratio of any 2 sides of a triagle is equal to the ratio of the lenths formed on its third side by the anfle bisectorof the anfle formed by those 2 sides:
(2) read: side AB is BD as AC is to DC
Clear DC:
(3)
we know: AC = 24, BD = 19 - DC (from (1)) and AB = 16
replacing all the values:
(4)
for (4) in (1)
BD = 19 - = (5)
Answer:
110
Explanation:
The consumer price index is an index that measures the inflation rate in a country. It tracks changes in prices for a basket of products and services in a country over time. CPI is calculated with a base year as the reference period.
The formula for calculating CPI with a base year is as below.
consumer price index=cost of the market basket in a given year x100
cost of a market basket at the base
In this case,
CPI = $ 55 x 100
$ 50
CPI = 1. 1 x 100
CPI =110
Answer:
$75,300
Explanation:
The computation of the balance in the land is shown below;
Purchase cost
$460,000
Add:
Demolition of existing building on site
$71,000
Add:
Legal and other fees to close escrow
$12,900
Less:
Proceeds from the sale of demolition scrap
($8,600)
Balance in the land
$75,300
Therefore, balance in the land account as of December 31, 2021 is $75,300
Answer
Today’s markets involve demand and supply which are defined by quality of sensible selection rather than price (matchmaking).
Explanation
For example the school admission program in a city X allows only few students to proceed to the schools they want because the students were left with limited choices that do not allow for proper matching. This is so because first the selection was done by mail where the students ticked the school they wanted then the list is returned to the school to await selection results. The ticked option is over-picked by many students making the extra number shifted to other schools which they did not select. No right matching was made here.