We have that
<span>x+5/ [(x+6)(x-1)]
we know that
</span><span>the denominator can not be zero
</span>so
(x+6)(x-1)=0
x+6=0-----> x=-6
x-1=0----> x=1
<span>the appropriate restrictions for the variable are
x=-6
and
x=1
the answer is
x=-6
x=1</span>
Answer: the smaller number is 11, and the larger number is 28
Step-by-step explanation:
Let x = the smaller number; then the greater number is 3x-5. When you add these they must equal 39, so:
x + (3x-5) = 39
4x - 5 = 39; now add 5 to both sides:
4x = 44; now divide both sides by 4, and you get x =11, which is the smaller number. The larger number would be 3(11)-5 = 33 - 5 = 28
Answer:
segment EG over segment LN equals segment FG over segment MN
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
The corresponding sides are
EF and LM
EG and LN
FG and MN
The corresponding angles are
∠E≅∠L
∠F≅∠M
∠G≅∠N
therefore
EF/LM=EG/LN=FG/MN=3/1
Short Answer; it pretty much has to be Isosceles.
Let the smallest angle (represented by 1) be x
Then the other two angles are 2x and 2x
Every triangle has 180o and 3 angles.
x + 2x + 2x = 180
5x = 180 Divide by 5
x = 180/5
x = 36
Therefore the angles are
36
72
72
Two angles are the same. The triangle is Isosceles.