On january 21 of this year, the first law requiring that drivers of automobiles have licenses went into effect. to learn the year, solve this puzzle. the two-digit number formed by my tens and units digits is the 12th prime number and is considered normal body temperature when measured in degrees celsius. my tens digit is 33 1/3% of my hundreds digit. the sum of all of my digits is the same as the number of triangles that make up an icosahedron. what year am i? explain.

1937  

Step-by-step explanation:

Let the digits of the number = xyzw

(a) 1st clue

Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,…

The twelfth prime number is 37, and normal body temperature is 37 °C.

zw = 37

 z =   3

w =   7

(b) 2nd Clue

z = ⅓y     Multiply each side by 3

y = 3z

  = 3 × 3

  = 9

(c) 3rd clue

An icosahedron has 20 triangular faces.

x + y + z + w = 20

x + 9 + 3 +7 = 20

          x + 19 = 20

                 x =    1

x = 1; y = 9; z = 3; w = 7

xyzw = 1937

£56

step-by-step explanation:

u divide 24 by 3 and u get 8 so if u do 8 time 7 or 8+8+8+8+8+8+8 u get 56 and 56 divided by 7 is 8.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it