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uranmaximum [27]
3 years ago
8

N parallelogram LMNO, what are the values of x and y?

Mathematics
1 answer:
Liula [17]3 years ago
8 0
In parallelogram, LMNO,

Because Opposite angles are equal:
Therefore, 2x = 3x -55
Or x= 55
Now, the sum of angles in a parallelogram is 360
2x+3x-55+5y+5y =360
5x +10y -55 = 360
5*55 -55 + 10y = 360
10y +220 = 360
10y = 140
y=14
Thus, x=55 and y= 14

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The point A (5,11) is reflected across the x-axis. How long is the segment AA'?<br>​
Nikitich [7]

Answer:  The required length of the segment AA' is 11 units.

Step-by-step explanation:  Given that the point A(5, 11) is reflected across the X-axis.

We are to find the length of the segment AA'.

We know that

if a point (x, y) is reflected across X-axis, then its co-ordinates becomes (x, -y).

So, after reflection, the co-ordinates of the point A(5, 11) becomes A'(5, -11).

Now, we have the following distance formula :

The DISTANCE between two points P(a, b) and Q(c, d) gives the length of the segment PQ as follows :

PQ=\sqrt{(c-a)^2+(d-b)^2}.

Therefore, the length of the segment AA' is given by

AA'=\sqrt{(5-5)^2+(-11-11)^2}=\sqrt{11^2}=11.

Thus, the required length of the segment AA' is 11 units.

7 0
3 years ago
The expression 120-15x represents how many invitations Luanne has to address after x days. The expression 120 + 15(7-x) represen
Aloiza [94]

Answer:

not possible.

Step-by-step explanation:

number of invitations luanne  has to address after x days = 120-15x

number of invitations  Darius has to address after x days =  120 + 15(7-x)

so, if the number of invitations should be the same for both of them,

we have to equate their number of invitations

120-15x =  120 + 15(7-x)

subtracting 120 from both the sides,

-15x = 15(7-x) = 105 -15x

adding we 15x on both sides, we wont find any solution for x.

so, this isnt possible or the question must be wrong.

8 0
3 years ago
A 3-kilogram bag of carrots costs $2.71. What is the unit price, rounded to the nearest cent?
MissTica

Answer:

The unit price is $0.90.

Step-by-step explanation:

$2.71 divided by 3 = 0.9033333333333.

Rounded equals: $0.90.

4 0
3 years ago
2,550 gallons in 30 days and find the unit rate.round to the nearest hundredth if necessary
faust18 [17]
85 gallons per day is the unit rate. divide 2550 by 30
6 0
3 years ago
Subtract 4/15 - 1/6. Simplify the answer.
damaskus [11]

Answer:

Find the smallest multiple the denominators have in common  

30

Expand each fraction so that the denominators are 30

\frac{8}{30} + \frac{- 5}{30}

Add or subtract the numerators and keep the same denominator

\frac{8- 5}{30}

Simplify

\frac{1}{10}

​  

 

​

7 0
3 years ago
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