If the sides are in the ratio of 5:3 then the area will increase by a factor of:(5 / 3) ^2
(5 / 3)^2 =
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2.777777777
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Area of small hexagon = 81
Area of larger hexagon = 81 * 2.777777777
Area of larger hexagon = 225 square meters
Triangle RTS is congruent to RQS by AAS postulate of congruent
Step-by-step explanation:
Let us 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 1st Δ ≅ 2 angles
and one side in the 2nd Δ
- HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ
∵ SR bisects angle TSQ ⇒ given
∴ ∠TSR ≅ ∠QSR
∴ m∠TSR ≅ m∠QSR
∵ ∠T ≅ ∠Q ⇒ given
∴ m∠T ≅ m∠Q
In two triangles RTS and RQS
∵ m∠T ≅ m∠Q
∵ m∠TSR ≅ m∠QSR
∵ RS is a common side in the two triangle
- By using the 4th case above
∴ Δ RTS ≅ ΔRQS ⇒ AAS postulate
Triangle RTS is congruent to RQS by AAS postulate of congruent
Learn more:
You can learn more about the congruent in brainly.com/question/3202836
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The correct answer is 6+x-y.
This is because the other answer choice is a binomial and not a trinomial (which contains three terms). A term is always separated by - or + signs.
Answer:
(x-4)^2 + (y-5)^2 = 20
Step-by-step explanation:
Rearrange the line equation of 5x - 2y + 6 = 0
So y = 5/2x +3
The y-intercept of the line equation is 3 as when x=0, y=3.
We know the Circle has the formula 
from the question but with the intercept, we can find the entire equation as the y-intercept is (0,3) so we can substitute it into the equation to find the full equations so:
This simplifies to:
= 
16 + 4 = 20 =
The answer is 20 so the equation of the circle is 
