Answer:
m∠EBC = 62°
m∠EBA = 124°
m∠CBA = 62°
Step-by-step explanation:
It's given in the question that a line BC bisects angle EBA.
And m∠EBC = 62°
Since, BC is an angle bisector of ∠EBC,
Therefore, m∠EBC = m∠CBA = 62°
Since, m∠EBA = 2(m∠EBC)
Therefore, m∠EBA = 2 × 62° = 124°
Answer:
- Equation: 7.5 = ((2b-4) + b)
- length = 3.6667 ft
- width = 3.8333 ft
Step-by-step explanation:
perimeter = 2(length+width)
then:
15 = 2(a+b)
a = 2b - 4
a = length
b = width
solve:
15/2 = (a+b)
7.5 = ((2b-4) + b) ⇒ Equation that represents the perimeter of the
rectangle)
7.5 = 3b -4
7.5+4 = 3b
11.5 = 3b
b = 11.5/3
b = 3.8333
a = 2b - 4
a = 2*3.8333 - 4
a = 3.6667
Check:
15 = 2(3.8333 + 3.6667)
15 = 2*7.5
If points f and g are symmetric with respect to the line y=x, then the line connecting f and g is perpendicular to y=x, and f and g are equidistant from y=x.
This problem could be solved graphically by graphing y=x and (8,-1). With a ruler, measure the perpendicular distance from y=x of (8,-1), and then plot point g that distance from y=x in the opposite direction. Read the coordinates of point g from the graph.
Alternatively, calculate the distance from y=x of (8,-1). As before, this distance is perpendicular to y=x and is measured along the line y= -x + b, where b is the vertical intercept of this line. What is b? y = -x + b must be satisfied by (8,-1): -1 = -8 + b, or b = 7. Then the line thru (8,-1) perpendicular to y=x is y = -x + 7. Where does this line intersect y = x?
y = x = y = -x + 7, or 2x = 7, or x = 3.5. Since y=x, the point of intersection of y=x and y= -x + 7 is (3.5, 3.5).
Use the distance formula to determine the distance between (3.5, 3.5) and (8, -1). This produces the answer to this question.
The distances in length and height and the total have the same unit (e.g. feet or meters). When the slope is decreasing, height and slope have a minus as prefix.
Example: a road with 15% slope has an angle of 8.58°. At a length of 200 feet, a height of 30 feet and a total distance of 202.24 feet is covered. Total Distance, Length and Height.