Answer:
A.
Step-by-step explanation:
when you plot the vertices;
Side AB is perpendicular to side BC
Side AB is parallel to side DC
Side AC is perpendicular to AB
Side AC is perpendicular to DC
Side AC is parallel to side BC
The conclusion made is that ABCD is a rectangle
Answer: desktop = $1750, laptop = $1900
<u>Step-by-step explanation:</u>
Let x represent the cost of the desktop
then x + 150 is the cost of the laptop.
.07x + .055(x + 150) = 227
.07x + .055x + 8.25 = 227
.125x = 218.75
x = 1750
desktop (x) = $1750
laptop (x + 150) = $1750 + $150 = $1900
Answer:
Step-by-step explanation:
y = -4x + 6.....switch x and y and solve for y
x = -4y + 6 ....subtract 6 from both sides
x - 6 = -4y....divide by -4 on both sides
(x - 6) / -4 = y or y = -1/4x + 3/2 <====
The direct variation equation is:
d=kt
where d is the distance that the giraffe travels
k is the constant of variation
and t is time
Now we are told that the giraffe can travel 800 ft in 20 seconds, so we can solve for the constant of variation (k)
800=k(20) divide both sides by 20
k=40-------------and the units are ft per sec
So now we can write
d=40t
ck
d=40t
800ft=40*20 ft
800 ft= 800 ft
Hope this helps!
9514 1404 393
Answer:
42 cm²
Step-by-step explanation:
The attachment shows a couple of ways the figure can be considered.
a) Left and Right rectangles that are 5 cm high and 3 cm wide, together with a central rectangle that is 3 cm high and 4 cm wide. Then the total area is ...
5×3 + 3×4 + 5×3 = 15 + 12 + 15 = 42 . . . . cm²
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b) An enclosing rectangle that is 5 cm high and 10 cm wide with a cut-out that is 2 cm high and 4 cm wide. Then the total area is ...
5×10 -2×4 = 50 -8 = 42 . . . . cm²
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The area of the irregular figure is 42 cm².