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Inessa [10]
2 years ago
7

Find the length of the unknown segment (x) in each figure. Use theorem of secant segment and

Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:

1. x = 6    2. x = 9   3. x = 3

Step-by-step explanation:

Use <u>Intersecting Secants Theorem</u>:

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

1.  AC and AD are secants that intersect at point A

So, AB x AC = AE x AD

         x x 15 = 6 x (6 + 9)

             15x = 90

                 x = 6

2.  KM and KN are secants that intersect at point K

So,  KL x KM = KO x KN

 10 x (10 + 8) = x x 20

              180 = 20x

                  x = 9

3.  IG and IF are secants that intersect at point I

So,  IH x IG = IJ x IF

       x x 39 = 9 x (9 + 4)

           39x = 117

               x = 3

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The hypotenuse of a right triangle has length 50 cm. One leg has length 20 cm. The nearest tenth, what is the length of the othe
Fantom [35]

Answer:

45.8 cm

Step-by-step explanation:

Let the length of other leg be l

By pythagoras theorem,

l \:  =  \sqrt{ {50}^{2} -  {20}^{2}  }  \\ l \:  = 45.8cm

6 0
3 years ago
17. Only tenth-, eleventh-, and twelfth-grade students
Tom [10]

Answer: Eleventh Grade

Step-by-step

The ratio of tenth graders to the school's total population is 86:255 = 33.7%.

The ratio of eleventh graders to the school's total population is 18:51 = 35.3%.

Since the probability of a student being in either tenth, eleventh, or twelfth grade = 1 = 100% (that is, certainty), then the probability of a randomly drawn student being in twelfth grade is (100-33.7-35.3)% = 31.0%.

When randomly choosing one student from the whole school, it is most likely (35.3%) that the student is in the eleventh grade.

4 0
3 years ago
A survey asked people to name their favorite season. The results of the survey showed that 34% said spring and 15% said fall. Wh
max2010maxim [7]

Answer:

D. 29% and 22%

Step-by-step explanation:

The known percentages are 34% and 15%. Add these two together to get 49%. All four choices should add up to 100%. So subtract to find what remains:

100% - 49%

= 51%

We don't actually have enough information to determine the percents for summer and winter. BUT the only answer that adds up to 51% is answer D. 29% and 22%.

8 0
2 years ago
Enter the number 46.1979 rounded to the nearest hundredth (two decimal places)
muminat

Answer:

It should be 46.20

Step-by-step explanation:

You're rounding to the nearest hundredth. So you have 46.1979 to start out with. Then you count 2 places so you end at the 1st 9. Well, behind the 9 is a 7 so you round up and get 20

6 0
1 year ago
What is the next value 4d 7g 10j 13
bearhunter [10]
13m 16p

Add three to every number next as well as move up three letters.

For example:
1A is the starting point.
To get from 1A to 4D you add three.

1 + 3 = 4
A to get to D is three letters up.
A b c D

Same thing for 4D to get to 7G.

4 +3 = 7
D to get to G
D e f G

Your answer:
I'm not sure if you wanted me to find the letter of the equation or the actual next part. On your question you have just 13 up there, no letter so if youre trying to find the letter (13m) is your answer.

If you're trying to find the next equation to the puzzle (16p) is your answer.

Hope this helped!:)
3 0
3 years ago
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