Answer:
22
Step-by-step explanation:
11 x 2 = 22
<h3>Answer: See the diagram below</h3>
=====================================
Explanation:
Start at "2" on the number line. If you move to the right 6 steps, each time landing on a tickmark, then you'll arrive at "3" on the number line. This means the interval from 2 to 3 is cut into 6 equal pieces.
In other words, the little tickmarks represent 1/6 of a unit
If we go back to "2" on the number line, and move to the first tickmark, then we arrive at 2 & 1/6. Then the next tickmark would be 2 & 2/6, and so on.
Note how 2/6 = 1/3
So the mixed number 2 & 2/6 = 2 & 1/3
The location of 2 & 1/3 is marked in red in the diagram below.
--------------------------------
The mixed number 1 & 5/6 will be plotted a similar way.
Start at "1" on the number line. Count out 5 spaces until you arrive at 1 & 5/6. This is marked in blue in the same diagram. A shorter way is to start at "2" and count backward 1 tickmark. This works because the "2" is really 1 & 6/6. Going backward one tickmark has that "6/6" bump down to "5/6".
Answer:
Step-by-step explanation:
The water district has been charging its customers a flat rate of $3.25 per HCF. If a family uses an average of 56 HCF per month, the total charge would be
3.25 × 56 = $182
Because of a drought emergency, it is instituting a block rate of $3.60 for the first 20 HCF and $4.85 for the next 40 HCF. If a family uses an average of 56 HCF per month, the total charge would be
(3.6 × 20) + 4.85(56 - 20)
= 72 + 174.6
= $246.6
The increase in the charge is
246.6 - 182 = $64.6
The percent by which their average bill increased under the block system is
64.6/182 × 100 = 35.5%
△ABC has interior angles with measures x°, 100°, and 70°.
By using angle sum property, which states that the sum of measures of all three angles is 180 degrees.


Now, △DEF has interior angles with measures y°, 70°, and 20°.
By using angle sum property,


Now, we can say that,
"The two triangles are not similar because x≠y"
As one angle of measure 70 degree is common in both the triangles.
If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.
Therefore, the two triangles are not similar because x is not equal to y.