We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
Answer:
Hence the dimensions are 5×5 i.e. 5 meters and 5 meters such that its field would be as large as possible.
Step-by-step explanation:
Darek's dad has a 20 m fencing mesh.
Since we have to make a rectangular garden with he help of fencing the garden using this mesh, that means perimeter of this garden is 20 m.
i.e. 2( l+b)=20
also we have to fenced in such a way that its field would be as large as possible.
ie. it has the largest Area.
Now we will start from the dimensions possible as:
9×1 whose area will 9 m^2 (since Area=l×b)
Next dimension will be:
8×2 whose area will be 16 m^2
Next will be:
7×3 whose area will be 21 m^2
Next will be:
6×4 whose area will be 24 m^2
Next will be:
5×5 whose area will be 25 m^2
Next will be:
4×6 whose area will be same as of 6×4.
Hence, we get the maximum area to be 25 m^2 which is obtained when the dimensions are 5×5.
Answer: 18
Step-by-step explanation:
Let x be the number of 2 point baskets made and y be the number of 3 point baskets made
:
1) x + y = 26
:
2) 2x + 3y = 60
:
solve equation 1 for x and substitute in equation 2
:
x = 26 - y
:
2(26 - y) +3y = 60
:
52 -2y +3y = 60
:
y = 8
:
x = 26 - 8 = 18
:
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The team made 18 2-point shots
