Answer:
m∠BCD = 90°
∠BCD is a right angle
Step-by-step explanation:
<em>If a ray bisects an angle, that means it divides the angle into two equal parts in measure</em>
∵ Ray CE bisects ∠BCD
→ Means divide it into two angles BCE and ECD which equal in measures
∴ m∠BCE = m∠ECD = 
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 = 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 = 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
Answer:
right
Step-by-step explanation:
The side ratios are ...
24 : 45 : 51 = 8 : 15 : 17
These numbers are a Pythagorean triple. The triangle is a right triangle.
__
24² + 45² = 576 +2025 = 2601 = 51² . . . . the Pythagorean theorem is satisfied
Answer:
When the number of guests is 0, the cost would be $450.
Step-by-step explanation:
We have been given an equation 
, which models the relation between the cost in dollars, C, of the banquet and the number of guests, g.
We can see that our given equation in slope-intercept form of equation 
, where, m represents slope of line and b represents y-intercept or initial value.
We can see that slope for our given equation is 28 and the C-intercept is 450.
The C-intercept tells us that when there are 0 guests in the banquet, the cost would be $450.
Answer:
Slope:
Y-intercept: (0,4)
Step-by-step explanation:
Put the equation into y = mx + b form, which is y = +4. Then create a table.
X: -2, -1, 0, 1, 2
Y: 3, 
, 4, 
, 5
