Answer:
16.666
Step-by-step explanation:
divid 200 by 12
Answer:
x = - 90
Step-by-step explanation:
Given
10x + 60 = 9x - 30 ( subtract 9x from both sides )
x + 60 = - 30 ( subtract 60 from both sides )
x = - 90
To determine the system of inequality that has been graphed, we need to be very smart.
Observe that all the equations are the same.
Also note that all the lines are solid. This should tell you that the inequities should involve.
Therefore the answer is between option A and B.
So we choose a point in the solution region to discriminate between A and B.
Let us choose the origin since that is easy to evaluate.
We substitute into option A to get.
The above statements are false
We now substitute into option B
Both statements are true, therefore the correct answer is option B.
Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
Answer:
x=60
Step-by-step explanation:
Given that ,
HCF of 140 and x=20,
LCM of 140 and x =420.
Solution:
It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:
140*x= HCF*LCM
Putting in the values provided,
140*x=20*420
140*x=8400
x=8400/140
x=60
Hence the variable x is 60.
