Angle KLM and angle MLN are a linear pair. Ray LR is to be added to the diagram so that it is opposite ray LM. Which is true abo
ut angle RLN that would be formed? Angles RLN and MLK would be vertical angles. Angles RLN and MLN would be vertical angles. Angles RLN and KLM would be a linear pair. Angles RLN and KLN would be a linear pair.
2 answers:
Angles RLN and MLK would be vertical angles.
Right. Vertical angles are formed when their sides share the same lines. RL shares the same line with LM and NL shares the same line with LK (see the attached diagram), so that means both angles form a vertical pair.
Angles RLN and MLN would be vertical angles.
Wrong. They are linear pairs, because they are adjacent and supplementary. Adjacent angles share a side – in this case, LN. Supplementary angles sum 180°, which you can see is right because the other sides (ML and RL) are in the same line. RLN and MLN sum the same as the size of RLM, which is a line, so it’s 180°. <span>
Angles RLN and KLM would be a linear pair. </span>
Wrong. They would be a vertical pair (see definition of vertical pair in the first option). RL is opposed to LM and LN is opposed to KL.
Angles RLN and KLN would be a linear pair.
Wrong. KLN is actually a line, so it’s actually 180°, so it can’t be a linear pair with KLN. Linear pairs sum 180°, which is impossible because KLN itself is already 180°, so any sum will throw a higher number.
Right. Vertical angles are formed when their sides share the same lines. RL shares the same line with LM and NL shares the same line with LK (see the attached diagram), so that means both angles form a vertical pair.
Angles RLN and MLN would be vertical angles.
Wrong. They are linear pairs, because they are adjacent and supplementary. Adjacent angles share a side – in this case, LN. Supplementary angles sum 180°, which you can see is right because the other sides (ML and RL) are in the same line. RLN and MLN sum the same as the size of RLM, which is a line, so it’s 180°. <span>
Angles RLN and KLM would be a linear pair. </span>
Wrong. They would be a vertical pair (see definition of vertical pair in the first option). RL is opposed to LM and LN is opposed to KL.
Angles RLN and KLN would be a linear pair.
Wrong. KLN is actually a line, so it’s actually 180°, so it can’t be a linear pair with KLN. Linear pairs sum 180°, which is impossible because KLN itself is already 180°, so any sum will throw a higher number.
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Answer:
Martha is incorrect.
Amount paid by Renee =
Amount paid by Susan = $297.5
Amount paid by Martha =
Step-by-step explanation:
Given: Renee will pay 40% of the cost. Susan will pay 0.35 of the cost.Martha will pay the remainder of the cost. Martha thinks she will pay 13 of the cost.
To find: Is Martha correct?
To find: amount paid by each of Renee, Susan, and Martha
Solution:
Percentage of an amount paid by Renee = 40%
Percentage of an amount paid by Susan = 35%
So,
Percentage of an amount paid by Martha =
But Martha thinks she will pay 13 of the cost. So, she is incorrect.
Amount paid by Renee =
Amount paid by Susan =
Amount paid by Martha =
Answer:
The slope becomes 0.5625 and y intercept becomes 12.5.
$65.9375
Step-by-step explanation:
Given that
the total reimbursement function in terms of miles:
After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.
To find:
How to transform the graph of f.
Total reimbursement for a trip of 95 miles?
Solution:
can also be written as:
It is nothing but slope intercept form, comparing with
M is the slope and C is the y intercept.
Slope of the graph is 0.45.
Y intercept is 5.
After change in the function, first of all add $5.
Now, multiply with 1.25
Resulting function becomes:
Kindly refer to the attached image for the graph of the two functions.
Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.
To find the reimbursement for a trip of 95 miles:
Put m = 95
