Answer:
x = sqrt(147)
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.
x^2 +7^2 = 14^2
x^2 +49 = 196
Subtract 49 from each side
x^2 = 147
Take the square root of each side
sqrt(x^2) = sqrt(147)
x = sqrt(147)
Answer:
The first and second one
Step-by-step explanation:
Had the problem an it showed that those two were correct hope I help
Answer:
ASA
ΔFGH ≅ ΔIHG ⇒ answer B
Step-by-step explanation:
* Lets revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and
including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ
≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles
and one side in the 2ndΔ
- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse
leg of the 2nd right angle Δ
* Lets prove the two triangles FGH and IHG are congruent by on of
the cases above
∵ FG // HI and GH is transversal
∴ m∠FGH = m∠IHG ⇒ alternate angles
- In the two triangles FGH and IHG
∵ m∠FHG = m∠IGH ⇒ given
∵ m∠FGH = m∠IHG ⇒ proved
∵ GH = HG ⇒ common side
∴ ΔFGH ≅ ΔIHG ⇒ ASA
* ASA
ΔFGH ≅ ΔIHG
24 Hours in one Day
5 Days
24 <span>× 5 = 120 Hours
Hope that helps! </span>
3x(x²-5)
Multiply the bracket by 3x
(3x)(x^2)=3x^3
(3x)(-5)=15x
Answer: 3x^3+15x