The solution is that x = 26 and y = 9.
In order to find these, we need to note that since the two angles involving x's make a straight line, then they must equal 180 degrees. So we can add them together and set them equal to solve for x.
5x - 17 + 3x - 11 = 180 ----> combine like terms
8x - 28 = 180 ----> add 28 to both sides
8x = 208 -----> divide by 8
x = 26
Now that we have the value of x, we can find the value of the 3x - 11 term. That along with the right angle and the 2y + 5 angle combine to make another straight line. So we can solve by setting that equal to 180 as well.
3x - 11 + 90 + 2y + 5 = 180 ------> Combine like terms
3x + 2y + 84 = 180 -----> Put 26 in for x.
3(26) + 2y + 84 = 180 -----> Multiply
78 + 2y + 84 = 180 ------> Combine like terms again
2y + 162 = 180 ------> Subtract 162 from both sides
2y = 18 -----> Divide by 2
y = 9
Answer:
5
Step-by-step explanation:
12+12+12= 36
36-7= 29
3+3+3=9
29-9=20
20÷4=5
1 pound= 16 ounces
We have 5 pounds so do:
5 x 16= 80
Now we already have 4 ounces
80 + 4= 84
So answer is
84 oz
Given:
.
To find:
The value of 
, rounding to the nearest thousandth.
Solution:
We know that,
On substituting , we get
Therefore, the value of is 0.646.
Answer:
Tags not given out=(k/5)-40
Step-by-step explanation:
k is tag
Tags k given to student are half = k/2
Tags given to parents are= 100
Total tags given to students and parents are=(k/2)+100
So remaining tags are=k-(k/2+100)
=(k-200)/2
tags given to judges and teacher are 3/5 of remaining tags =(3/5)*((k-200)/2)
So tags not given out are =(2/5)*((k-200)/2)
=(k/5)-40 Answer
