The Answer is 6 Dollars
Well here there are two parts You and your friend spent 15 dollars your friends lunch cost 3 more than yours <span>
6=x is the amount you spent on lunch.
Your friend spent $3 more so add $3 to the amount you spent to get...
$9 spent by your friend.
You=$6
Friend=$9
Total=$15
To prove the solution is valid, plug 6 in for x.
15=3+2(6)
15=3+12
15=15 thus proving the solution is valid.</span>
Answer:
a. p = 6
b. q = 4
c. r = 8
d. s = 10; t = 8.3
Step-by-step explanation:
1. a. The side length of two similar triangles are proportional, therefore:
Cross multiply
Divide both sides by 15
p = 6
b. Based on the midsegment theorem,
c. The side length of two similar triangles are proportional, therefore:
Multiply both sides by 20
r = 8
d. The side length of two similar triangles are proportional, therefore:
Multiply both sides by 6
s = 10
Multiply both sides by 5
t = 8.3 (nearest tenth)
Numbers 1 and 2 are correct.
Question 3:
We can see in each figure, the number of rows matches the figure amount. For example, figure 1 has 1 row, figure 2 has 2 rows, figure 3 has 3 rows, etc. Another thing we can see is that one block gets added to each column in every figure. If we count starting from 3 and keep adding 1 for each column, we get 22 blocks for one column. In figure 20, there will be 20 rows and 22 columns. We also have to keep in mind that they add 2 extra blocks at the top and bottom that stick out like the ones shown. In total, figure 20 will consist of 442 blocks.
Question 4:
[(2 + f) * (f)] + 2 = b
(2 + f) represents the number of blocks in each column.
(f) represents the number of blocks in each row.
2 represents the two extra blocks in each figure.
Note that f in this equation equals the number of the figure. For example, figure 3 is f = 3
We can test our equation with figure three.
[(2 + f) * (f)] + 2 = b
We have figure three so f = 3. Substitute and solve.
[(2 + 3) * (3)] + 2 = b
[5 * 3] + 2 = b
15 + 2 = b
17 = b
In the example, the number of blocks is 17. Therefore, this equation works for any figure.
Best of Luck!
Answer:
1st question: 5 (you already answered this one but I still included it)
2nd question: 21
3rd question: 8
4th question: 7
5th question: 12
6th question: 36
7th question: 15
8th question: 80
A possible value of sin would be 0.73