What is m ∠dec if measure of arc dc = 150° and measure of arc ab = 90°? a. 150° b. 120° c. 240° d. 90°

B.

Step-by-step explanation:

We have been given an image of a circle. We are asked to find the measure of angle DEC.

Upon looking at our given circle, we can see that angle DEC is formed by the intersection of secants AC and BD inside the given circle.

We know that intersecting secants theorem states that angle formed by two secants inside the circle is half the sum of intercepted arcs.

Using intersecting secants theorem, we can set an equation as:

Therefore, measure of angle DEC is 120 degrees and option B is the correct choice.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

-4

step-by-step explanation:

do 6-10=

if u need it to be negative.