You run 1/2 mile on Sunday. On each day after the weekend, you run 1.5 times as far as you did the day before. How far do you run Monday?

The image is attached.

Answer:

x = 16°

Step-by-step explanation:

Segment AB, segment DC and segment EC all intersect at point C.

Here, we are told angle DCE measures 148°.

This is a semi-circle, and the total angle of a semi-circle is 180°.

Which means, x+x+148 = 180

Solving for x, we have:

x+x+148 = 180

2x + 148 = 180

2x = 180 - 148

2x = 32

x = 16°

The value of x is 16°

Final answer:

To find the value of x, we need to deduce the measurements of angles formed by the intersecting segments. By applying the properties of angles in triangles and parallel lines, we can determine that x equals 32 degrees.

Explanation:

Let's name the point of intersection as M. Since segments AB, DC, and EC intersect at point C, it means that point C is common to all three segments.

Given that angle DCE measures 148 degrees, it means that angle DCM (formed by segments DC and EC) is also 148 degrees. We know that the sum of angles in a triangle is 180 degrees.

Therefore, angle CMD (formed by segments DC and AB) is equal to 180 - 148 = 32 degrees. Since segments DC and AB are parallel, angle CMD is also equal to angle ACB.

Hence, the value of x is 32 degrees.

Learn more about Angles and Intersecting Segments here:

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Answer: The probability that she selects an orange or a pear is 7/16.

Step-by-step explanation:

Given number of oranges = 4,

Apples = 9,

Pears = 3,

Total number of fruits = 4 + 9 + 3 = 16,

If she selects a piece of fruit from the box at random,

Then, the probability that she selects an orange or a pear

= The probability of oranges + The probability of oranges