Answer: The answer is the first/top choice.
Step-by-step explanation: By definition, congruent is "Identical in form, <em>coinciding exactly when superimposed</em>". If you superimposed on onto the other, it would not match up, and therefore would not be congruent.
<h3>
Answer: Approximately 13 square units (choice B)</h3>
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Explanation:
The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB
angle AOB = 360 - 215 = 145
angle AOB = 145 degrees
We'll use this later.
Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.
The area of the circle is
A = pi*r^2
A = pi*(sqrt(10))^2
A = 10pi
This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB
area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)
area of sector AOB = (145/360)*10pi
area of sector AOB = 145pi/36
area of sector AOB = 145*3.14/36
area of sector AOB = 12.647 approximately
area of sector AOB = 13 square units approximately, after rounding to the nearest whole number
Answer:
Simplifying
3x + 77 = 4x + 54
Reorder the terms:
77 + 3x = 4x + 54
Reorder the terms:
77 + 3x = 54 + 4x
Solving
77 + 3x = 54 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
77 + 3x + -4x = 54 + 4x + -4x
Combine like terms: 3x + -4x = -1x
77 + -1x = 54 + 4x + -4x
Combine like terms: 4x + -4x = 0
77 + -1x = 54 + 0
77 + -1x = 54
Add '-77' to each side of the equation.
77 + -77 + -1x = 54 + -77
Combine like terms: 77 + -77 = 0
0 + -1x = 54 + -77
-1x = 54 + -77
Combine like terms: 54 + -77 = -23
-1x = -23
Divide each side by '-1'.
x = 23
Simplifying
x = 23
Step-by-step explanation:
I hope its helps
Answer:
slope equals -1/14
Step-by-step explanation: