1. To answer the questions shown in the figure atttached, it is important to remember that the irrational number e is aldo called "Euler's number" and you can find it in many exercises in mathematics.

2. Then, the irrational number e is:

e=2.71828

3. When you rounded, you have:

e=2.718

4. Therefore, as you can see, the the correct answer for the exercise above is the option c, which is: c. 2.718

4 0

3 years ago

If CE bisects ZBCD and if m ZBCE = 3x - 6

horrorfan [7]

Answer:

m∠BCD = 90°

∠BCD is a right angle

Step-by-step explanation:

If a ray bisects an angle, that means it divides the angle into two equal parts in measure

∵ Ray CE bisects ∠BCD

→ Means divide it into two angles BCE and ECD which equal in measures

∴ m∠BCE = m∠ECD = $\frac{1}{2}$ m∠BCD

∵ m∠BCE = 3x - 6

∵ m∠ECD = 2x + 11

→ Equate them to find x

∴ 3x - 6 = 2x + 11

→ Add 6 to both sides

∵ 3x - 6 + 6 = 2x + 11 + 6

∴ 3x = 2x + 17

→ Subtract 2x from both sides

∵ 3x - 2x = 2x - 2x + 17

∴ x = 17

∵ m∠BCE = $\frac{1}{2}$ m∠BCD

→ Substitute x in the measure of ∠BCE to find it, then use it to

find m∠BCD

∵ m∠BCE = 3(17) - 6 = 51 - 6

∴ m∠BCE = 45°

∵ 45 = $\frac{1}{2}$ m∠BCD

→ Multiply both sides by 2

∴ 90 = m∠BCD

∴ m∠BCD = 90°

→ The measure of the acute angle is less than 90°, the measure of

the obtuse angle is greater than 90°, and the measure of the

right angle is 90°

∴ ∠BCD is a right angle

6 0

3 years ago