A ray, is a line that has one endpoint on one side and on the other side is an infinity amount of numbers
Answer:
Step-by-step explanation:
The triangles are all similar, so corresponding sides are proportional.
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<h3>x</h3>
long side/short side = x/6 = 12/x
x² = 72 . . . . . . . multiply by 6x
x = 6√2 . . . . . . take the square root
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<h3>y</h3>
hypotenuse/long side = y/12 = (12+6)/y
y² = 216 . . . . . multiply by 12y
y = 6√6 . . . . . take the square root
The options aren't given, however, the range of amount spent could be calculated
Answer:
Kindly check explanation
Step-by-step explanation:
Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amounts that could be the price of the dvd
Given that :
DVD costs the same amount
Number of DVD's = 3
Cost of cds = 10
Number of cds = 7
Total cost of cd's = 10 * 7 = 70
Let the price of DVD = x
Total amount spent = 90 - 100
Lowest price of DVD :
(amount spent - price of cd) / number of dvd
(90 - 70) / 3 = 20 /3 = 6.667
Highest price :
(100 - 70) / 3 = 30 / 3 = 10
Hence the pice of each DVD will range between /
6.6666 and 10.
Hence, prices listed within the range above are possible.
Answer:
solution is (- 3, 5 )
Step-by-step explanation:
given the 2 equations
6x - y = - 23 → (1)
8x + 3y = - 9 → (2)
rearrange (1) expressing y in terms of x
y = 6x + 23 → (3)
Substitute y = 6x + 23 into (2)
8x + 3(6x + 23 ) = - 9
8x + 18x + 69 = - 9
26x + 69 = - 9 ( subtract 69 from both sides )
26x = - 78 ( divide both sides by 26 )
x = - 3
substitute x = - 3 into (3)
y = (6 × - 3 ) + 23 = - 18 + 23 = 5
solution is (- 3, 5 )
Answer:
= m
Step-by-step explanation:
So we can say;
Tan(30) = m/3
=> Tan(30) * 3 = m
=> = m
Hope this helps!
