Help in maths question
2 answers:
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your question seems missing the figure.
I am attaching the required figure below.
You can study the correct answer to your question and complete explanation with the figure below.
Answer:
k=60
Step-by-step explanation:
When a pair of parallel lines is crossed by a transversal, it will make 8 angles, pairs of vertical/opposite angles, two pairs of acute angles and two pairs of obtuse angles. All acute angles are congruent as well as all obtuse angles are congruent. Simply we can say that pairs of acute angles and pairs of obtuse angles are congruent.
From the figure attached below (by the name "Pairs of parallel lines crossed by a transversal"), we get the following equations as:
2k+11=131
Solving for k, we get
2k=131-11
2k=120
k=120/2
k=60
Answer:
A. "an arithmetic sequence with a common difference (d) of -6."
B. 33 hours
C.
D. See below
Step-by-step explanation:
A.
Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.
B.
The formula for term of arithmetic sequence is:
Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:
She will have left 33 hours
C.
We will use the arithmetic sequence term formula written above, that is:
THis gives us the amount of hours left after a certain number of weeks.
D.
We plug in 40 into n and find the hours left:
THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.