Write 18/54 in simplest form
1 answer:
You might be interested in
Problem 25
These triangles are congruent.
The reasoning is the AAS congruence theorem. We have two pairs of congruent angles, as shown by the arc markings, and a pair of congruent sides. The sides are <u>not</u> between the angles. That means AAS is slightly different from ASA. The order matters.
=====================================================
Problem 26
The triangles are <u>not</u> congruent
Why not? Well it all comes down to the angle placement. For the triangle on the right side, the arc is between the shared segment and the segment with the double tickmarks. The other arc is not in the proper corresponding location to be able to use SAS. It would need to be adjacent to the arc on the right for us to use SAS.
If it's hard to visualize what I mean, refer to the diagram below.
=====================================================
Problem 27
The triangles are <u>congruent</u> by <u>SAS</u>
The angles aren't marked, but recall that vertical angles are always congruent. So you could add in angle markers if you wanted, to help complete the diagram. The tickmarks of course tell us which segments are the same length. The angles are between the segments.
====================================================
Problem 28
The triangles are <u>congruent</u> by <u>SSS</u>
Like before, the tickmarks tell us which sides are the same length. So the tickmarks say that we have two pairs of congruent sides. The overlapping sides or shared sides are the third pair of congruent segments. So in reality, we have three pairs of congruent sides. It might help to break up the figure into two separate triangles.
Answer:
$0.004 per gallon
Step-by-step explanation:
Given:
Service Fee= $22
Fixed rate per gallon= m
Water Consumed= 2256 gallons
Total bill charged= $31.02
Now by computing the equation we get
Substituting data we get
Rounding off above value we get
per gallon
Answer:
4 - i
Step-by-step explanation:
Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i. Also, we know that i will not be in the end result, which means that we should have a negative in the result as well.
To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:
So indeed the answer is 4 - i