Answer:
Both are similar by SAS similarity.
This SAS similarity is equivalent to the congruence.
Step-by-step explanation:
Step 1:
To prove that ACB and HIG as similar triangles.
We have to look upon the corresponding sides.
SAS= Side angle sides , there the angle must be in between two sides.
ACB =
HIG
Lets work on the corresponding sides.
IG/AC = IH/AC
= 
Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.
We have
= 
Both sides are equal.
So its proved that both are similar with SAS similarity theorem.
Answer: Mike bought 120 pounds of fish and Millie bought 30 pounds of fish.
Step-by-step explanation:
If the ratio is 8 to 2 then 8/10 will be the probability of Mike buying fist and 2/10 will be the probability of Millie buying fish.
Now multiply each fraction by the total number of pounds to find how many pounds each bought.
8/10 * 150 = 1200/10 = 120
2/10 * 150 = 300/10 = 30
In this case, Mike bought 120 pounds of fish and Millie bought 30 pounds of fish.
Answer: The age of the twins is 10 years.
Step-by-step explanation:
Suppose the age of older sister be x
Let the age of twins sister be x-9, as they are born after 9 years.
Product of their ages be

Sum of their ages will be

According to question,

So, Age of older sister will be 19 years.
Age of the twins will be

Hence, the age of the twins is 10 years.
The second one I beileve is the answer to your question