If a system of two inequalities has a solution, then their two half planes intersect , true or false ?
1 answer:
Answer: The answer is true.
Step-by-step explanation: The given statement is
'If a system of two inequalities has a solution, then their two half planes intersect'.
We are to check whether the statement is true or false.
Let a system of two inequalities be
These inequalities has a solution, for example, x = 2, y = 1.
Plotting these inequalities on a graph paper (please see the attached graph), we see that the two half planes intersect, which is represented by the double shaded region in the graph.
Thus, the given statement is TRUE.
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1. All you have to do to find the area of the figure. IS first find the area of the rectangle. This is easy because all you have to do is base times height.
22 x 17 = 374
Now to find the area of the triangle all you have to do is do base times height like a rectangle, but then divide it by 2 afterwords.
19 x 12 = 228 ÷ 2 = 114.
Now add the two area's together:
374 + 114 = 488.
Just do the same with the one below, I've altered the pic a bit to make it easier.
22 x 17 = 374
Now to find the area of the triangle all you have to do is do base times height like a rectangle, but then divide it by 2 afterwords.
19 x 12 = 228 ÷ 2 = 114.
Now add the two area's together:
374 + 114 = 488.
Just do the same with the one below, I've altered the pic a bit to make it easier.
Answer:
m < EAD = 29 degrees
m < CAB = 119 degrees
Given :
The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees
Solution:
1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)
2. m<BAC + m<EAC = 180 degrees (sum of linear pair)
3. m<CAB = 180 degrees - m<EAC
4. Equation 1: m<CAB = m<EAF = 119 degrees
5. m<EAF = m<EAD + m< DAF
6. m<EAD = m<EAF - m<DAF
7. m<EAD = 119 degrees-90 degrees = 29 degrees
Hope this helps!!! :)
Attached photo work is created by another brainly user named tallinn.
Click on this link to find his work and possibly more information of the answer. Thanks!
