Find the value of x, if angle X measures 102°.
х
to
w7x+4yº(5x - 4yº
w
Z

A. 13

Step-by-step explanation:

The non-vertex angles of a kite are always congruent. Therefore,

m<X = m<Z = 102°

Sum of all angels of a kite = 360°

Thus:

m<X + m<Y + m<Z + m<W = 360°

Substitute

102 + (5x - 4) + 102 + (7x + 4) = 360

102 + 5x - 4 + 102 + 7x + 4 = 360

Add like terms

204 + 12x = 360

12x = 360 - 204

12x = 156

x = 156/12

x = 13

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6