Insert 8 geometrics between 8 and 1/64

please the answer and solution is needed urgently

If 8 is the first term, and 1/64 is the tenth term, we can write the following equation to figure out the common ratio (r):

8r^9 = 1/64

r^9 = 1/512

r^9 = (1/2)^9 (rewrite 1/512. Since 512 = 2^9, 1/512 becomes (1/2)^9)

Solving this, r = 1/2 or 0.5 so the geometric sequence becomes:

8, 4, 2, 1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64 ...

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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