Figure vwyx is a kite. what is the value of x?

For this case we have that by definition, the sum of the internal angles of a quadrilateral is 360 degrees.

So we have to:

In the figures they indicate that there are two angles of 90 degrees.

We eliminate parentheses:

We add similar terms:

The value of x is 6.

Step-by-step explanation:

Given information: VWYX is a kite, ∠W=(18x-2)° and ∠X=(12x+2)°.

According to the properties of kite, the sum of opposite angles of a kite is 180°.

In kite VWYX, ∠W and ∠X are opposite angles, so their sum is 180°.

On combining like terms we get

Divide both sides by 30.

Therefore the value of x is 6.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24