Answer:
By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that 
Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.
Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.
Cross multiply
Hence proved.
Answer:
1.C
2.A
3.D
4.C
5.B
6.A
7.B
8.C
9.A
10. D
Step-by-step explanation:
For Problem 1, the work is as follows:
For Problem 2, the work is as follows:
For Problem 3, the work is as follows:
For Problem 4, the work is as follows:
For Problem 5, the work is as follows:
For Problem 6, the work is as follows:
For Problem 7, the work is as follows:
For Problem 8, the work is as follows:
For Problem 9, the work is as follows:
For Problem 10, the work is as follows:
Hope this Helps!
Answer:
Step-by-step explanation:
I'm not familiar with the conversions from American dollars. I can help you solve it though.
Count how many days from Nov 26 to Dec 26 and multiply that by 9p.
It's 30 days by 9p. Take that total and convert it.
Hopefully this helps you.
Answer:
8 family members. Average of 2.6 fish per person.
Step-by-step explanation:
How many family members caught fish? Count only those members who caught at least 1 fish (that's all of them, because nobody caught 0 fish!).
3 + 1 + 0 + 4 = 8 family members.
Average number of fish caught <u>per person</u>. This is the total number of fish caught divided by the total number of people.
This is a little bit tricky because, for example, 4 people caught 4 fish, making 4 x 4 = 16 fish caught.
Multiply number of fish (column 1) by the number of people (column 2):
1 x 3 + 2 x 1 + 3 x 0 + 4 x 4 = 3 + 2 + 0 + 16 = 21 fish caught.
21 fish. 8 people. On average, that is 21 / 8 = 2.625 which rounds to 2.6 fish per person.
Hint: the word "per" means <u>divide</u>, so "fish per person" tells you to divide the total number of fish by the total number of people.
Good Luck!
