Solve to find x and y in the diagram. HELP PLEASE!!!
2 answers:
Answer:
D. ,
Step-by-step explanation:
We have been given a diagram. We are asked to find the value of x and y for given diagram.
We can see that 6x will be equal to 90 degrees as it is complementary to 90 degrees angle.
We can represent this information in an equation as:
We can also see that and 90 degree angle are alternate exterior angles, so their measure will be equal.
Therefore, option D is the correct choice.
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We have
In order to obtain easily the table, we need to clear y
then we evaluate for values of x
if x=0
y=-4(0)+1=1
y=1
if x=1
y=-4(1)+1=-3
y=3
if x=2
y=-4(2)+1=-7
y=-7
if x=3
y=-4(3)+1=-11
y=-11
So the table for the given equation is
x y
0 1
1 -3
2 -7
3 -11
Answer:
Bag of windflower bulbs costs $8.50
Package of crocus bulbs costs $17.60
Step-by-step explanation:
Let $x be the price of one bag of windflower bulbs and $y be the price of one package of crocus bulbs.
1. Mark sold 2 bags of windflower bulbs for $2x and 5 packages of crocus bulbs for $5y. In total he earned $(2x+5y) that is $105. So,
2x+5y=105
2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,
9x+5y=164.50
3. You get the system of two equations:
From the first equation
Substitute it into the second equation:
9x+105-2x=164.50
7x=164.50-105
7x=59.5
x=$8.50
So,
5y=105-2·8.5
5y=105-17
5y=88
y=$17.60