HELPPP !! If O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6 , find the values of x and y for which LMNO must be
a parallelogram
1 answer:
Answer:
x=12 and y=4.3
Step-by-step explanation:
Given the sides of quadrilateral that are O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6. we have to find the value of x and y so that LMNO be a parallelogram.
we know opposite sides of parallelogram are equal.
Hence, we have to find the value of x and y such that opposite sides becomes equal which implies LMNO is a parallelogram.
Equating opposite sides equal, we get
8x-8=7x+4 ⇒ 8x-7x=8+4=12 ⇒ x=12
implies, NM=x-5=12-5=7
NM=OL ⇒ 3y-6=7 ⇒ 3y=13 ⇒ y=4.3
Hence, x=12 and y=4.3
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Answer:
A.) After adding 4 to both sides, the equation is
C.) The equation can be solved for x using exactly one more step by multiplying both sides by
D.) The equation can be solved for x using exactly one more step by dividing both sides by
Step-by-step explanation:
The correct questions is as follows:
Carina begins to solve the equation -4-2/3x=-6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Check all that apply.
A.) After adding 4 to both sides, the equation is -2/3x=-2.
B.) After adding 4 to both sides, the equation is -2/3x=-10 .
C.) The equation can be solved for x using exactly one more step by multiplying both sides by -3/2.
D.) The equation can be solved for x using exactly one more step by dividing both sides by -2/3.
E.) The equation can be solved for x using exactly one more step by multiplying both sides by -2/3.
Given equation:
To show the steps we will carry out in order to solve for
Solution:
Solving for
Step 1:
Adding both sides by 4
Thus, we get:
Thus statement A is correct.
Step 2:
Multiplying both sides by
Thus, we get:
[Two negatives multiply to give a positive]
This proves that statement C is correct.
Or Step 2:
Dividing both sides by
Thus, we get:
[On dividing with a fractional divisor, we take reciprocal and multiply it with the dividend.]
[Two negatives multiply to give a positive]
This prove that statement D is correct.
Answer:
A 20
Step-by-step explanation:
Given
Phone Battery Life (hours)
A 20
B 25
C 10
D 18
8.45% of the battery life of each mobile phone is used in a day by a typical user
Calculating Hours of battery life in a day for each mobile
A 20
Battery life for A = hours
B 25
Battery life for B = hours
C 10
Battery life for C = hours
D 18
Battery life for D = hours
Therefor Mobile phone A 20 uses a total of 1.69 hours of battery life in a day