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swat32
3 years ago
7

Given the diagram of parallelogram LMNO, solve for s.

Mathematics
2 answers:
Evgen [1.6K]3 years ago
6 0
< o and < m are congruent because opposite angles are congruent
3t - 15 =  2t + 10
3t - 2t = 10 + 15
t = 25

3t - 15 = 3(25) - 15 = 75 - 15 = 60...< m = 60

< m and < o are consecutive angles and they are supplementary....so they add up to 180
< m + < o = 180
60 + < o = 180
< o = 180 - 60
< o = 120

3s = 120
s = 120/3
s = 40

klasskru [66]3 years ago
3 0

Answer: option C otherwise 40. :-)

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If i have 35% of a phones and its now $78 how much was the phone before the discount
denpristay [2]

Step-by-step explanation:

Multiply $78 by by 65/100 to determine the original price.

78 can be put over 1.

<u>Multiply</u><u>:</u>

\frac{78}{1}  \times  \frac{65}{100}  =  \frac{5070}{100}

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Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10
eimsori [14]

Answer:

y = –7x – 11

6x – 4y = 10

Step-by-step explanation:

From the question given above, we obtained:

x = –1

y = –4

y = ?x – 11 ....... (1)

6x – ?y = 10b......... (2)

Let the two unknown be a and b. Thus the above equation becomes:

y = ax – 11 ......... (3)

6x – by = 10 .......(4)

Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:

For a:

y = ax – 11

x = –1

y = –4

–4 = a(–1) – 11

–4 = –a – 11

Collect like terms

–4 + 11 = –a

7 = –a

Multiply through by –1

a = –7

For b:

6x – by = 10

x = –1

y = –4

6(–1) – b(–4) = 10

–6 + 4b = 10

Collect like terms

4b = 10 + 6

4b = 16

Divide both side by 4

b = 16 / 4

b = 4

Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.

y = ax – 11

a = –7

y = –7x – 11

6x – by = 10

b = 4

6x – 4y = 10

Therefore, the complete equation are:

y = –7x – 11

6x – 4y = 10

8 0
3 years ago
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