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Lady_Fox [76]
3 years ago
13

What is the common ratio of the geometric sequence?

Mathematics
1 answer:
Arlecino [84]3 years ago
6 0

Answer:

4/3

Step-by-step explanation:

12/16 = 12/9 = 9/6.75 =r

r=4/3

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Given: SR bisects angle TSQ angle T is congruent to angle Q prove: triangle RTS is congruent to RQS
yan [13]

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

#LearnwithBrainly

3 0
3 years ago
Comment all that apply
choli [55]
90°
∠AEF is a right angle
∠CEF is a straight angle
m∠CEF = m∠CEA + m∠BEF
4 0
3 years ago
-256÷457.6 a -16 b -1.6c 1.6 d 16
sp2606 [1]

Answer:

b.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A cylinder has a height of 6 meters and a radius of 3 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the near
bija089 [108]

Answer:

169.56 m³

Step-by-step explanation:

» <u>Concepts</u>

The volume of a cylinder is how much space there is inside the cylinder. The formula to find the volume is πr²h, where r = radius and h = height. Once you get the volume, you have to add <unit>³.

» <u>Application</u>

We are given the radius as three meters and the height as six meters; we also have to use π as 3.14. Now, we just have to plug in these values into the aforementioned formula.

» <u>Solution</u>

  • <u></u>3.14*3^3*6
  • 3.14*9*6
  • 28.26*6
  • 169.56
7 0
2 years ago
Simplify the given algebraic expression.<br> 8(5y - 8) - (5y + 3)
RoseWind [281]

Answer:

35y - 67

Step-by-step explanation:

8(5y - 8) - (5y + 3)

Multiply the 8 with what is in the parentheses.

40y - 64 - 5y + 3

Subtract like terms.

35y - 67

7 0
3 years ago
Read 2 more answers
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