Answer:
The corresponding angles are congruent and the corresponding sides are proportional
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
therefore
The corresponding angles are congruent and the corresponding sides are proportional
Answer:
20% increase
Step-by-step explanation:
Percent increase = (difference) / original *100 percent
= (12-10)/10 * 100percent
= 2/10 *100 percent
= 1/5 * 100 percent
=.2 * 100 percent
= 20%
Answer:
<h2>693 m²</h2>
Step-by-step explanation:
This is a parallelogram.
The formula of an area of a parallelogram:
![A=bh](https://tex.z-dn.net/?f=A%3Dbh)
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
From the graph we have <em>b = 21m</em> and <em>h = 33m</em>.
Substitute:
![A=(21)(33)=693\ m^3](https://tex.z-dn.net/?f=A%3D%2821%29%2833%29%3D693%5C%20m%5E3)
Answer:
![\huge \boxed{k](https://tex.z-dn.net/?f=%5Chuge%20%5Cboxed%7Bk%3C1%7D)
Step-by-step explanation:
![7k+1](https://tex.z-dn.net/?f=7k%2B1%3C8)
Subtract 1 from both sides.
![7k+1-1](https://tex.z-dn.net/?f=7k%2B1-1%3C8-1)
![7k](https://tex.z-dn.net/?f=7k%3C7)
Divide both sides by 7.
![\displaystyle \frac{7k}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B7k%7D%7B7%7D%20%3C%5Cfrac%7B7%7D%7B7%7D)
![k](https://tex.z-dn.net/?f=k%3C1)