we know that
A number is an inequality solution if the number satisfies the inequality
<u>Part 1)</u> 
rewrite the inequality
The answer Part 1) is the option D 
Because satisfies the inequality
-----> is true
<u>Part 2)</u> 
The answer Part 2) is the option A 
Because satisfies the inequality
-----> is true
<u>Part 3)</u> 
we're going to verify every case
<u>case A)</u> For 
substitute the value of x in the inequality
------> is true
therefore
The number 
is a solution
<u>case B)</u> For 
substitute the value of x in the inequality
------> is not true
therefore
The number 
is not a solution
<u>case C)</u> For 
substitute the value of x in the inequality
------> is not true
therefore
The number 
is not a solution
<u>case D)</u> For 
substitute the value of x in the inequality
------> is not true
therefore
The number 
is not a solution
therefore
The answer Part 3) is the option A
Answer:
See proof below
Step-by-step explanation:
Two triangles are said to be congruent if one of the 4 following rules is valid
- The three sides are equal
- The three angles are equal
- Two angles are the same and a corresponding side is the same
- Two sides are equal and the angle between the two sides is equal
Let's consider the two triangles ΔABC and ΔAED.
ΔABC sides are AB, BC and AC
ΔAED sides are AD, AE and ED
We have AE = AC and EB = CD
So AE + EB = AC + CD
But AE + EB = AB and AC+CD = AD
We have
AB of ΔABC = AD of ΔAED
AC of ΔABC = AE of ΔAED
Thus two sides the these two triangles. In order to prove that the triangles are congruent by rule 4, we have to prove that the angle between the sides is also equal. We see that the common angle is ∡BAC = ∡EAC
So triangles ΔABC and ΔAED are congruent
That means all 3 sides of these triangles are equal as well as all the angles
Since BC is the third side of ΔABC and ED the third side of ΔAED, it follows that
BC = ED Proved
Answer:
Undefined
Step-by-step explanation:
All lines that are parallel to
m=11/10 have the same slope of undefined
Source:
Math-way
Answer:
it is 4.17
Step-by-step explanation:
i just know
Answer:
28x +196 in^2
Step-by-step explanation:
The outside dimension of the square green rug is (x+14), so its area is (x+14)^2. The area of the green band will be the difference between this and the area of the yellow square, (x^2).
green band area = (x +14)^2 -(x^2) = x^2 +28x +196 -x^2
green band area = 28x +196 . . . . square inches
