Answer:
<h2>X = 31°</h2>
Step-by-step explanation:
Given: AC is angle bisector of <BAD.
=> So, <BAC = <CAD
30° = x-1 °
30 +1 = x
31 = x
Then,<u> X = 31</u>
<em>Hope</em><em> </em><em>this helps</em><em>.</em><em>.</em><em> </em><em>Good</em><em> </em><em>luck</em><em> </em><em>:</em><em>)</em><em> </em>
If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:
8² + 15² = 17²
If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time. But for now let's just exhaustively check the Pythagorean Theorem for each triangle. We don't have to multiply everything out; we can analyze the common factors. If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.
Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.
6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.
15²-5² is a multiple of 5, 13² isn't, no joy.
8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6 - y= (-1+)/2= 10/2 = 5
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
Answer:
-(1/3 · 1/3 · 1/3 · 1/3 )
Step-by-step explanation:
-(3)^-4= -1/3 ^4 = -1/81
-(1/3 · 1/3 · 1/3 · 1/3 )= -1/81
Answer:
they will play together again in 28 days
Step-by-step explanation:
