Since (√36)² = (√18)²+(√18)², hence the triangle WXY is a right angle
<h3>What is Pythagoras theorem</h3>
The theorem states that the square of the hypotenuse is equal to the sum of the square of other two sides
For a triangle to be right angled, it must obey the law.
Given
Hypotenuse =√36
Other sides = √18 and √18
(√36)² = 36
(√18)²+(√18)²= 18 + 18
(√18)²+(√18)² = 36
Since (√36)² = (√18)²+(√18)², hence the triangle WXY is a right angle
Learn more on Pythagoras theorem here: brainly.com/question/343682
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Step-by-step explanation:
it is a simple addition and subtraction sequence :
10 + 0 + -21 + 14 = 3
since the result is positive, it is overall a gain.
if the result were negative, it would be an overall loss.
so, he had an overall gain of 3 yards.
Step-by-step explanation:
Given that,
We have to find the value of m∠E.
Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.
→ Sum of all the interior angles of ∆ = 180°
→ ∠E + ∠D + ∠F = 180°
→ 116° + x + x = 180°
→ 2x = 180° – 116°
→ 2x = 64°
→ x = 64° ÷ 2
→<u> x = 32°</u>
Henceforth,
→ m∠E = x
→ m∠E = 32°
~
The answer is III only, or D.
We can start to solve this by knowing what the HL theorem means. The HL theorem, like its name implies, shows says that if a hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of a different triangle, then the triangles are congruent. The only triangle that we see a hypotenuse congruent in is in figure III. In figure II, those congruent sides are both legs while in figure I we just see 2 congruent angles. Now in figure III, we can also see that two legs are congruent because of the reflexive property. That means that the answer is III, or D.
