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
Answer:
36a2 - b2
Step-by-step explanation:
( 6a + b)( 6a - b)
36a2 - b2
6^2 a2 - b^2
x2 y2 = (xy)2
(6a)2 - b^2
(6a + b)(6a - b)
Hope that helps :)
The distance covered by bicycle is 1.885 km.
What is distnace?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.
Given: A bicycle wheel with radius 30cm made 1000 revolutions.
We have to find the total distance covered by bicycle.
First to find the circumference of the bicycle wheel.
Circumference = 2πr
where, r is the radius.
Here r = 30.
So,
Circumference = 2 x π x 30 = 60π
Now to find the total distance,
D = circumference x number of revolutions.
D = 60π x 1000
D = 188,495.5592 cm
D = 188,495.5592 /1000 km
D = 1.88 km
Therefore, the distance covered by bicycle is, 1.885 km.
To know more about the distance, click on the link
brainly.com/question/26046491
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<span><span><span><span>(<span>15^2</span>)</span><span>(<span>y^2</span>)</span></span>−<span>x^3</span></span>+7</span><span>=<span><span><span><span>225<span>y^2</span></span>+</span>−<span>x^3</span></span>+7</span></span>
<span>=<span><span><span>−<span>x^3</span></span>+<span>225<span>y^2</span></span></span>+<span>7</span></span></span>
