The correct answer is C. neither congruent nor similar.
Given that △ABC is transformed to △A'B'C' such that AB = A'B'.
We know that:
For triangles to be similar, all three angles must be same(AAA property) or all three sides must be in same proportion(SSS property) or two sides must be in same proportion and the included angle should be equal(SAS property).
For triangles to be congruent, all the three sides and all the three angles ,ust be exactly same.
Since △ABC and △A'B'C' have only one side equal, they are neither congruent nor similar.
Answer:
-6
Step-by-step explanation:
17-6=11
11-6=5
5-6=-1
-1-6=-7
The given function is f(z)=3z-8 for the values f(-4), f(2) and f(z-7) respectively -20, -2 and 3z-29 respectively.
The given function is f(z)=3z-8.
We need to find the value of f(-4), f(2), f(z-7).
<h3>What is a function?</h3>
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Now to find f(-4), replace z from -4.
f(-4)=3(-4)-8=-12-8=-20
Now to find f(2), replace z from 2.
f(2)=3(2)-8=6-8=-2
Now to find f(z-7), replace z from z-7.
f(z-7)=3(z-7)-8=3z-21-8=3z-29.
Therefore, the given function is f(z)=3z-8 for the values f(-4), f(2) and f(z-7) respectively -20, -2 and 3z-29 respectively.
To learn more about functions visit:
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Answer:
£11.85
Step-by-step explanation:
In the question, we are told that:
In 2016 she earned a monthly salary of £2,100
In 2017 she had a 3% raise
This means 3% of £2,100
3/100×£2,100 = £63
This means her salary for 2017 =
£63 + £2,100 =£2,163
Step 2
We are told in the question that she worked 42 hours per week for 45 weeks in 2017
Since her monthly pay for 2017 = £2,163
She worked 42 hours per week
There are 7 days in one week
The number of hours she worked per day = 42 hours ÷ 7 = 6 hours per day
4.345 weeks= 1 month
The number of hours she worked per month = 42 hours × 4.345 weeks
= 182.49 hours.
We can say that for 182.49 hours she was paid = £2,163
Her average pay per hour is calculated as:
If 182.49 hours = £2,163
1 hour = represented by Y
Cross multiply
182.49Y = £2,163
Y = £2,163 ÷ 182.49
Y = £11.852704258
Approximately = £11.85
Therefore, Elise Average pay per hour for the year = £11.85
Answer: 4 pairs of socks
Step-by-step explanation:
According to the described situation, Anika spends 
in 1 pair of shin guards for 
and 
pairs of socks for 
each pair.
So, we can express this in the following equation:
Isolating we will find the pairs of socks:
Hence, Anika bought 4 pairs of socks.
