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Stells [14]
3 years ago
5

Here are the first five terms of a sequence.

Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0

Step-by-step explanation:

3 to 8= 5

8 to 17= 9

17 to 30= 13

30 to 47= 17

47 to 68= 21

68 to 93= 25

93 to 122= 29

122 to 155= 33

155 to 192= 37

difference is 4

solve by

2 {n}^{2}  - n + 2 \\ 2 {(9)}^{2}  - 9 + 2 \\ 2(81) - 9 + 2 \\ 162 - 9 + 2 \\ 153 + 2 = 155

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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
What is the y-value of the vertex of the function f(x)=-(x+8)(x-14)?<br> 3<br> 6<br> 112<br> 121
MAXImum [283]

Answer:

121

Step-by-step explanation:

Given

f(x) = - (x + 8)(x - 14) ← expand factors using FOIL

     = - (x² - 6x - 112) ← distribute by - 1

     = - x² + 6x + 112

Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = - x² + 6x + 112 ← is in standard form

with a = - 1 and b = 6, thus

x_{vertex} = - \frac{6}{-2} = 3

Substitute x = 3 into f(x) for corresponding value of y

f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121

vertex = (3, 121 ) ← with y = 121

6 0
3 years ago
Read 2 more answers
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is corr
dsp73

Answer:

cos z = 35 / 37

Step-by-step explanation:

cos z is the ratio of the adjacent side of a triangle (the side adjacent to angle z to the hypotenuse:

cos z = (adj. side) / (hypotenuse)

Here we have cos z = 35 / 37

7 0
3 years ago
A 10-mile bike race is divided into 4 equal sections.
Zielflug [23.3K]

Answer:

i actually dont know

Step-by-step explanation:

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=3.18%20%5Cdiv%2010" id="TexFormula1" title="3.18 \div 10" alt="3.18 \div 10" align="absmiddle"
Maslowich

Answer:

0.318

Step-by-step explanation:

on division with 10, the value reduces.... decimal moves forward

on multiplication, the value increases decimal moves backward....

eg: 3.18 x 10 = 31.8

5 0
3 years ago
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