Alternate interior angles theorem.
<u>Step-by-step explanation:</u>
By using the definition of Alternate Interior Angles theorem, we can say that If a transversal cuts any two parallel lines, then those pairs of alternate interior angles are seems to be congruent.
So in the given triangle,
∠4 ≅ ∠2
∠5 ≅ ∠3
Sum of all the angles in a triangle = 180°
∠1 + ∠2 + ∠3 = 180°
Since from the above congruence, we can write that
∠1 + ∠4 + ∠5 = 180°
Hence proved.
Answer:
5>6
Step-by-step explanation:
The answer is x=13
I hope this helps!
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Answer:
288 small fish.
Step-by-step explanation:
The first thing is to calculate the volume of the prism, which would be the area of the base (length by width) and that by the height, that is:
a = l * w * h
l = 6
w = 4
h = 4
Replacing
a = 6 * 4 * 4
a = 96 cubic feet
they tell us that per cubic foot there is room for 3 small fish, therefore:
96 * 3 = 288
Which means that there are 288 small fish.
6 times 3/8 is the same as:
<span>6/1 * 3/8 </span>
<span>Now, multiply the tops and bottoms to get: </span>
<span>18/8 </span>
<span>We can divide the top and bottom by 2, giving us: </span>
<span>9/4</span>