Ryan surveyed people about the total money they spend with respect to the number of hours they spend at a shopping center. He re
corded the results of the survey in the scatter plot below. Select all the correct answer's
A. The scatter plot contains more than 4 outliers.
B. The point (8,80) is an outlier, because it represents the customer who spent the most time shopping.
C. The point (2,60) is an outlier, because it is far away from the rest of the points.
D. There is an outlier at (4.5,15).
E. There is an outlier at (5.5,45).
F. The point (7.5,85) is an outlier, because it represents the customer who spent the most money.
A. The scatter plot contains more than 4 outliers.
B. The point (8,80) is an outlier, because it represents the customer who spent the most time shopping.
C. The point (2,60) is an outlier, because it is far away from the rest of the points.
D. There is an outlier at (4.5,15).
E. There is an outlier at (5.5,45).
F. The point (7.5,85) is an outlier, because it represents the customer who spent the most money.
1 answer:
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The probability of John making the first and missing the second is:
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
Given:
A triangle JKL .
Measure of exterior angle K = 83 degrees
We have to find the measure of .
In we see that the exterior angle is in linear pair with
.
Note:
Linear pair angles sum is 180 degree.
Let be 'x' degrees .
So,
⇒
⇒ <em>Subtracting 83 from both sides.</em>
⇒
⇒
⇒ degrees
The measure of angle JKL in the triangle is of 97 degrees.
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.