Answer:
Step-by-step explanation:
- the given expression is : −4≤11−3x
- we use following operations to solve the inequality:
- by adding 4 on both sides, the inequality will become :
-4+4 ≤ 11-3x +4
0 ≤ 15 -3x
- adding 3x on both sides, the inequality will become:
3x ≤ 15
- dividing both the sides of the inequality by 3, the inequality will become:
3x/3 ≤ 15/3
x ≤ 5 ( since, 15/3 = 5)
- therefore the solution for x as an inequality will be x ≤ 5
Answer:
8. Not similar
9. Similar
Step-by-step explanation:
8. You could try to us the AA theorem which means that two angles in the triangle are equal, which would mean that the triangles are similar. But 46+58=104 and 180-104=76 so there are not two similar angled between the triangles.
9. You can use the same theorem for this problem (AA). So 106+31=137 and then 180-137=43 which is one of the angles in the second triangle. Since at least two of the angles are equal, you can use AA theorem yo prove they are similar.
Hope this helps!
Assuming the possible digits are from 0-9, there are 10*9*8 possibilities which come out to 720
Answer:
I got (y-7)=1/13(x+6) for point slope
and y=1/3x+13 for slope intercept form
double check me though I'm new at this
9514 1404 393
Answer:
11) x = 9
12) x = 9
Step-by-step explanation:
11) Corresponding segments are proportional, so ...
x/6 = 12/8
x = 6(12)/8 . . . multiply by 6
x = 9
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12) Similar triangle relationships show you the geometric mean relationship that applies in this case.
long side/short side = x/3 = 27/x
x² = 3·27 . . . . . . cross multiply
x = √(3·27) . . . . geometric mean relationship
x = 9
