triangle wxy is isosceles. ∠ywx and ∠yxw are the base angles. yz bisects ∠wyx.
m∠xyz = (15x)°. m∠yxz = (2x + 5)°. what is the measure of ∠wyx?
5°
15°
75°
150°
its d)150

Option D. 150°

Step-by-step explanation:

In an isosceles triangle WXY, ∠YWX and ∠YXW are the base angles.

YZ is the bisector of ∠WYX.

m∠XYZ = 15x° and m∠YXZ = (2x + 5)°

We have to find the measure of ∠WYX.

Since ΔWXY is an isosceles triangle therefore YZ which is a bisector of ∠WYX will be perpendicular to XW.

Therefore ∠YXW + ∠XYZ + ∠YZX = 180°

15x + 2x + 5 + 90 = 180

17x + 95 = 180

17x = 180 - 95 = 85

x = 85/17 = 5

Therefore ∠WYX = 2×∠XYZ = 2×(15x) = 30×5 = 150°

Answer is ∠WYX = 150°

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.

step-by-step explanation: