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Inga [223]
3 years ago
14

The diagram below shows several parking spots near the grocery store, formed with three parallel line segments and a transversal

. If the measure of angle 4 is 132°, what is the measure of angle 7? 32° 48° 132° 148°

Mathematics
2 answers:
Marina CMI [18]3 years ago
8 0
Something I noticed about angle 4, is that it shares a straight line with angle 3. (above it is a straight line)

A straight line equals 180 degrees.

So, angle 4 + angle 3= 180 degrees.

Angle 3 is congruent to angle 7.

180-132= Angle 7

180-132= 48

48 degrees is your answer.

I hope this helps!
~kaikers

NNADVOKAT [17]3 years ago
4 0

The answer is 48 degrees. I tool the test and it said that this was correct.

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(a-1) 22 rookies receiving a rating of 4 or better.

(a-2) 14 rookies received a rating of 2 or worse.

(b-1) Constructed below in explanation.

(b-2) 8% of total rookies received a rating of 5.

Step-by-step explanation:

We are provided the rating of Fifty pro-football rookies on a scale of 1 to 5 based on performance at a training camp as well as on past performance.

The frequency distribution constructed is given below:

 Rating          Frequency

     1                       4

     2                     10       where ranking of 1 indicate a poor prospect whereas

     3                     14         ranking of 5 indicate an excellent prospect.

     4                     18

     5                      4

(a-1) Rookies receiving a rating of 4 or better = Rating of 4 + Rating of 5

       So, by seeing the frequency distribution 18 rookies received a rating of

         4 and 4 rookies received a rating of 5.

Hence, Rookies receiving a rating of 4 or better = 18 + 4 = 22 rookies.

(a-2) Number of rookies received a rating of 2 or worse = Rating of 2 +

                                                                                                 Rating of 1

     So, by seeing the frequency distribution 10 rookies received a rating of

      2 and 4 rookies received a rating of 1.

Hence, Rookies receiving a rating of 2 or worse = 10 + 4 = 14 rookies.

(b-1) Relative Frequency is calculated as = Each frequency value /

                                                                         Total Frequency

   Rating        Frequency(f)        Relative Frequency

     1                       4                          4 / 50 = 0.08

     2                     10                         10 / 50 = 0.2

     3                     14                          14 / 50 = 0.28

     4                     18                          18 / 50 = 0.36

     5                   <u>   4    </u>                       4 / 50  = 0.08

                     \sum f<u>= 50 </u>                

Hence, this is the required relative frequency distribution.

(b-2) To calculate what percent received a rating of 5 is given by equation :

            <em>  x% of 50 = 4 </em> {Here 4 because 4 rookies received rating of 5}

         x = \frac{4*100}{50} = 8% .

Therefore, 8% of total rookies received a rating of 5.

5 0
3 years ago
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