What type of angle is ∠CEB ? straight obtuse acute right

Mathematics

2 answers:

Levart [38]2 years ago

4 0

Acute, Meaning less than 90 degrees.

meriva2 years ago

3 0

∠BED and ∠CEA are vertical angles, so that means they are equal to each other.
∠CEA = 88

∠CEB and ∠AED must equal the same since they are also vertical angles, so we will make them both = x in an equation.

All of these angles will add up to 360° because they form a quadrilateral.
88 + 88 + x + x = 360
Combine like terms.

176 + 2x = 360
Subtract 176 from 360.

2x = 184
Divide both sides by 2.

x = 92

Since ∠CEB is larger than 90°, it is an obtuse angle.

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mart [117]

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Answer:

(x +6)^2 +(y -10)^2 = 225

Step-by-step explanation:

The standard form equation for a circle is ...

(x -h)^2 + (y -k)^2 = r^2

where the center is (h, k) and the radius is r.

The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.

((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)

The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.

(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2

(x +6)^2 +(y -10)^2 = 81 +144 = 225

The equation of the circle is ...

(x +6)^2 +(y -10)^2 = 225