Answer:
Correct answer is <em>D. ASA</em>
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Step-by-step explanation:
Let us first define <em>ASA congruence</em> rule:
2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are <em>equal </em>to each other.
In the question figure, we can figure out following conclusions from Triangles 
respectively:
- Side RS = Side WX
As per the definition of option d) ASA congruence, the triangles are congruent.
Answer:
It takes 30 minutes
Step By Step:
The rate of Glenn in finishing a job would be equivalent to:
Rate (G) = 1
job / 20 minutes
While the rate of Veronika is:
Rate (V) = 1
job / x---> x is the unknown
Where 1 job for Glenn means completely cleaning his room while 1 job for Veronika means pulling out everything. Therefore the equation to use would be:
1 / 20 – 1 /
x = 1 / 60
The rate of
Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn
down. Solving for x:
Multiply both
sides by 60 x
(1 / 20 – 1 /
x = 1 / 60) * 60 x
3 x – 60 = x
2 x = 60
x = 30
Therefore it
takes 30 minutes for Veronika to pull everything out.
Answer:
2
Step-by-step explanation:
Answer:
Describe in detail how you would create a number line with the following points: 3, 2.25, the opposite of 4, and – (–1fraction of one-half). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first.
Step-by-step explanation:
Alright,
So LCM stands for "least common multiple"
While GCF is "greatest common factor"
Let's look at your number 1 (3&6)
3,6,9,12
6,12,18,24
Both times table has 6 in them making 6 the LCM
To find the GCF we need to know what can go into 3 equally. Since 3 is prime the greatest factor for 3 is....3. 6 goes into 3 two times so 3 is the GCF.
LCM:6
GCF:3
Lets do number 10 (40&4)
For LCM you see whats the smallest number that is in both times tables
4,8,12,16,20,24,28.......40
40,80, 160....
40 is the LCM because 40 is what's the smallest number between the two
GCF?
4 times 1 equals 4. Nothing bigger than 4 can make 4 (if your multiplying). That makes 4 automatically the GCF. :)
