Answer:
65.5 m
Step-by-step explanation:
Step 1. Find the width of the rectangle.
The formula for the area of a rectangle is
A = lw
Data:
A = 265.5 m²
l = 18 m
Calculation:
265.5 = 18w
w = 265.5/18 = 14.75 m
Step 2. Calculate the perimeter
The perimeter (P) of a rectangle is the sum of the lengths of its sides.
P = 2(l + w) = 2(18 + 14.75) = 2 × 32.75 = 65.5 m
The perimeter of the rectangle is 65.5 m.
Answer:
Step-by-step explanation:
In a rectangle, diagonals are equal and bisect each other
BE = AE
6x - 5 = 2x + 7
6x - 2x - 5 = 7
4x - 5 = 7
4x = 7 + 5
4x = 12
x = 12/4
x = 3
AE = 2x + 7
= 2*3 + 7
= 6 + 7
AE = 13
AC = 13 + 13
AC = 26
m∠EBC = 50
In rectangle, each angle is 90
m∠ABE + m∠EBC = 90
m∠ABE + 50 = 90
m∠ABE = 90 - 50
m∠ABE = 40
In rectangle, AB // DC and DB transversal
m∠ECD = m∠ABE { alternate interior angles}
m∠ECD = 40
<span>b/a=c/d
Two lines are parallel to each other if they have the same slope. So let's look at the options and see which one matches that statement.
b/aâ‹…c/d=â’1
* This is checking to see if the two lines are perpendicular to each other. Almost the exact opposite of parallel. So this is the wrong answer.
b/a=c/d
* b/a is a legitimate slope. c/d is also a good slope. And they're being checked to see if they're equal to each other. So this is the correct answer. But let's see if the next two options will give us a chuckle or two.
b/a=d/c
* b/a is OK. d/c almost looks ok, check the figure. And d/c is NOT a slope. The slope is delta Y over delta X. And d/c is delta X over delta Y. The inverse of the slope. So comparing those two values is meaningless. So it's a wrong answer.
b/aâ‹…d/c=â’1
* And they're trying the inverse of the slope trick again. WRONG. And they're checking if it's perpendicular. Also wrong. So definitely not a good choice.</span>
D and E —> substitute the x or y of the point given into the functions to test if it is correct
Answer:
a
Step-by-step explanation:
