Answer:
No
Step-by-step explanation:
The only arithmetic sequence of side lengths that will form a right triangle is (3, 4, 5) or some multiple of that, such as (9, 12, 15).
Sides of length 10, 11, 12 cannot form a right triangle.
<span><em>12 pennies, 3 nickles, and 2 dimes</em>
p = number of pennies
n = number of nickles
d = number of dimes
p(1) + n(5) + d(10) = 47
that is, the number of pennies x 1 cent + number nickles x 5 cents
+ number of dimes x ten cents equals 47 cents
p = 4n
p + n + d = 17
Substituting 4n for p in the above
4n + n + d = 17
5n + d = 17
Subtract 5n from each side
d = 17 - 5n
We will now substitute 4n for p and ( 17-5n ) for d in
the equation
p(1) + n(5) + d(10) = 47
4n(1) +n(5) + (17-5n)(10) = 47
9n + 170 - 50n = 47
-41n + 170 = 47
Subtract 170 from each side
-41n = 47 - 170
-41n = -123
Divide each side by -41
n = 3
Since p = 4n
p = 4(3)
p = 12
Since p + n + d = 17
12 + 3 + d = 17
15 + d = 17
d = 2
So we have 12 pennies, 3 nickles and 2 dimes
12 + 3(5) + 2(10) ?= 47
12 + 15 + 20 ?= 47</span>
The "center" is that of the point?
In the given rectangle, rectangle A, the length is 9 inches, and the width is 3 inches.
The length is 3 times the width.
Any rectangle in which the length is 3 times the width is similar to rectangle A.
Take each option and multiply the width by 3. If that is the length they tell you, then that rectangle is similar to rectangle A.
Option A.
1.5 in. * 3 = 4.5 in.
You are given length = 4.5 in.
It is similar.
Option B.
Width = 2 in.
2 in. * 3 = 6 in.
Given length is 8 in.
Not similar.
Option D.
Width = 4.5 in.
3 * 4.5 in. = 13.5 in.
Given length = 13.5 in.
Similar
Option E.
Width = 30 in.
3 * 30 in. = 90 in.
Given length = 90 in.
Similar.