Answer:
![\frac{q}{b}=\frac{r}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bq%7D%7Bb%7D%3D%5Cfrac%7Br%7D%7Bc%7D)
Step-by-step explanation:
Consider the options for this question are as follow,
Here, In triangles ABC and PQR,
AB = c, BC = a, AC = b, PQ = r, QR = p and PR = q,
Since,
![\traingle ABC\sim \triangle PQR](https://tex.z-dn.net/?f=%5Ctraingle%20ABC%5Csim%20%5Ctriangle%20PQR)
We know that,
The corresponding sides of similar triangles are in same proportion,
Thus,
![\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BPQ%7D%3D%5Cfrac%7BBC%7D%7BQR%7D%3D%5Cfrac%7BAC%7D%7BPR%7D)
![\frac{c}{r}=\frac{a}{p}=\frac{b}{q}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7Br%7D%3D%5Cfrac%7Ba%7D%7Bp%7D%3D%5Cfrac%7Bb%7D%7Bq%7D)
![\frac{r}{c}=\frac{p}{a}=\frac{q}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7Bc%7D%3D%5Cfrac%7Bp%7D%7Ba%7D%3D%5Cfrac%7Bq%7D%7Bb%7D)
![\implies \frac{q}{b}=\frac{r}{c}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7Bq%7D%7Bb%7D%3D%5Cfrac%7Br%7D%7Bc%7D)
Answer:
x = 4, y = 9
Step-by-step explanation:
The angles in a square are right, that is 90°
The diagonals bisect the angles , then
6x + 21 = 45 ( subtract 21 from both sides )
6x = 24 ( divide both sides by 6 )
x = 4
------------------------------------------------
The sides of a square are congruent , then
10y - 29 = 5y + 16 ( subtract 5y from both sides )
5y - 29 = 16 ( add 29 to both sides )
5y = 45 ( divide both sides by 5 )
y = 9
2500
Explanation:
You know that the new employee burned
625
chocolate chips in one hour and that this many chocolate chips represented
25
%
of that day's production.
As you know, percentages are used to express fractions that have
100
as their denominator. In this case, you can say that
25
%
=
25
100
This means that for every
100
chocolate chips baked that day,
25
were burned by the new employee. You can simplify this ratio to get
25
100
=
1
4
→
one chip burned for every four chips baked
6 miles as 31678 feet is 5 miles