The value of the variable y is 9 given that BDJ=7y+2 and angle JDR=2y+7
From the attached diagram, we can see that the<u> sum of m<BDJ and m<JDR is complementary</u> (i.e. sums up to 90degrees)
Given the following
m<BDJ = 7y + 2
m<JDR = 2y + 7
Summing up to 90
m<BDJ + m<JDR = 90
7y + 2 + 2y + 7 = 90
7y+2y+2+7 = 90
9y + 9 = 90
9y = 90-9
9y = 81
y = 81/9
y = 9
Hence the value of the variable y is 9
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Answer:
We know that C is the total number of cans in a complete case.
Victoria counts:
16 full cases, so in those we have: 16*C cans.
4 cases with 5 missing cans, so in those we have:
Then if each case has C cans, the cases that are missing 5 cans have:
C - 5 cans.
Then in those four cases we have a total of: 4*(C - 5) cans.
And Victoria knows that there are 220 cans, then we have that:
16*C + 4*(C - 5) = 220
16*C + 4*C - 20 = 220
16*C + 4*C = 220 + 20 = 240
20*C = 240
C = 240/20 = 12
Then each case has 12 cans.
Then the number of cans in the cases with missing cans is:
12 cans - 5 cans = 7 cans.
Step-by-step explanation:
Hope this helps!!!!!!!! :D
To solve this we would do 30×365
We would do this because each day the dog 30lbs
So we have the equation y=30x
Where y= total amount of dog food
And x= number of days
In a year there are 365 days typically, so we do 30×365
30×365=10,950
In one year 10,950 lbs of dog food are used
150+150+2x=960 (width+width+2 length=perimeter)
subtract 300 from each side
2x=660
divide by 2
x=330
the length is 330 ft
Answer: The slope of the line is 
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
Then, given the points 
and 
, you can identify that:
Knowing these values you can substitute them into the formula for calculate the slope:
Finally, evaluating, you get that the slope of that line is:
