Hello There!
The first statement is incorrect as congruent angles have the same measure but it doesn't have to 45°. It can be any value.
The second one is also incorrect. Congruent angles have the same measure but don't always total to 180° (which is what supplementary means). It would only be true if they are congruent right angles.
The third one is also incorrect as they don't always total to 90° either (Which is what complementary means).
The fourth one is correct, this is because congruent angles are simply angles with the same measure.
In short, you're answer is 4. Congruent angles always have the same measure.
Hope This Helps You!
Good Luck :)
Answer: the length is 87 feet
The width is 40 feet
Step-by-step explanation:
Let L represent the length of the playing field.
Let W represent the width of the playing field.
The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of a playing field for a certain sport is 254 ft. This means that
254 = 2(L + W)
L + W = 254/2
L + W = 127 - - - - - - - - - - - -1
The length is 47 ft longer than the width. This means that
L = W + 47
Substituting L = W + 47 into equation 1, it becomes
W + 47 + W = 127
2W + 47 = 127
2W = 127 - 47 = 80
W = 80/2 = 40
L = W + 47 = 40 + 47
L = 87
Step-by-step explanation:
Given the expression,
, we want to know which sign placed in between the two polynomial will produce a binomial.
Using a plus (+) sign to check:

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.
Using a plus (-) sign to check:

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.
<em>Hence none of the operations given results in a binomial</em>
Answer:
So I'd say 20in^2 or 22in^2.
Step-by-step explanation:
I decided to make it into a full pentagon shape to just estimate.
So a pentagons sides are all equal so I counted the amount in boxes on the sides of the regular shape and most of them would be 3.5 if you changed the shape into a pentagon.
And I got:
--> 21.076
Answer:
144 in internal angle
Step-by-step explanation: