Answer:
No, rectangles must have congruent diagonals.
Step-by-step explanation:
( 'x' is not 144 .)
The supplement of an angle is (180 - x) .
The problem says that (2/3) of 'x' is equal to (180 - x) .
180 - x = 2/3 x
Multiply each side by 3 :
( Note: 3 x 180 = 540 .)
540 - 3x = 2x
Add 3x to each side:
540 = 5x
Divide each side by 5 :
<u>x = 108°</u> .
Answer:
Step-by-step explanation:
rate = d / t
rate = 192 / 3
rate = 64 miles / hour
Now you want to know how long it can take to get 448 miles
d = r * t
t = d / r
t = 448/64
t = 7 hours.
You could actually do it using proportions.
192/3 = 448/x Cross multiply
192*x = 448*3
192*x = 1344 Divide by 192
x = 1344/192
x = 7
Do this the way you feel is the best way.
Let the width be x.
Length is 8 feet more than width. Length = x + 8
Area = x(x + 8)
width increased by 4, that is, (x + 4)
Length decreased by 5, (x + 8 - 5) = (x + 3)
Area = (x + 4)(x +3)
Area remains the same
x(x + 8) = (x+4)(x +3)
x² + 8x = x(x +3) + 4(x +3)
x² + 8x = x² +3x + 4x +12
x² + 8x = x² +7x +12 Eliminate x² from both sides
8x = 7x + 12
8x - 7x = 12
x = 12
Dimensions of original rectangle : x, x + 8
12, 12 +8 = 12, 20
Original rectangle is 20 feet by 12 feet
