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4 years ago

Find the 29th term of the following sequence. 2, 13, 24, 35,....

Mathematics

2 answers:

STatiana [176]4 years ago

6 0

321

Look for a pattern: The term is 11 more than the number before. this means 11 is added each time.

Since you start with 2 and the number goes up by 11 per term, the equation you would use to find the nth term would be 11n+2

To find the 29th term, simply plug in 29

11n+2

11(29)+2

321

The 29th term is 321.

REY [17]4 years ago

6 0

First you have to find the rate of change. It would be 11 because 35 - 24 = 11, 24 - 13 = 11 and 13 - 2 = 11.

These are the first 4 terms so just keep adding on 11 until you get 29 terms.

2, 13, 24, 35, 46, 57, 68, 79, 90, 101, 112, 123, 134, 145, 156, 167, 178, 189

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

200, 211, 222, 233, 244, 255, 266, 277, 288, 299, 310

19 20 21 22 23 24 25 26 27 28 29

Your final answer would be 310.

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What is the measure of XYZ, given that yz and xy are tangent to ?

Marta_Voda [28]

Answer:

D) 53 Degrees.

Step-by-step explanation:

Things we need to establish beforehand: We know that Lines OZ and OX are equal because they are both radii of the circle. We can make an Iscoceles traingle by drawing a line between ZX. We know angle YZO and angle YXO is a right angle because YZ and XY are tangent to the circle. The Arc angle is the same angle as angle ZOX.

1) Find angles OZX and OXZ. these will be 26.5, because 180-127 is 53, which is the sum of the two angles. the two angles are the same, so divide 53 by 2.

2) Find Angles XZY and ZXY. We know that YZO is a right angle, and both XZY and OZX make up this right angle so XZY + OZX = 90. OZX is 26.5, so 90-26.5=XZY. XZY = ZXY, so both angles equal 63.5.

3) Now that we have two angles of triangle XYZ, we can find angle XYZ. 180-(XZY+ZXY)=XYZ, so (180-(63.5+63.5)=53. Angle XYZ=53.

6 0

3 years ago

!I WILL GIVE YOU 50 POINTS!!!!!!!!!!!! (if it's worng you will be reported)

vesna_86 [32]

The answer is x=5+10y

6 0

3 years ago

The longest North/South highway is A, while the second longest north/south interstate is B. B is about 132 miles shorter than A.

Dvinal [7]

Answer:

m + 132

Step-by-step explanation:

A is 132 miles longer than B, whose length is m.

A = m + 132

4 0

2 years ago

3x + 9 = x + 5 Two sided equations

Fiesta28 [93]

Answer:

x=-2

Step-by-step explanation:

Let's solve your equation step-by-step. 

3x+9=x+5

Step 1: Subtract x from both sides. 

3x+9−x=x+5−x

2x+9=5

Step 2: Subtract 9 from both sides. 

2x+9−9=5−9

2x=−4

Step 3: Divide both sides by 2. 

2x /2=-4/2

x=−2

8 0

3 years ago

The length of a violin string varies inversely with the frequency of its vibrations. A violin string 14 inches long vibrates at

lara31 [8.8K]

Answer: 525 cycles per second.

Step-by-step explanation:

The equation for inverse variation between x and y is given by :-

$x_1y_1=x_2y_2$ (1)

Given : The length of a violin string varies inversely with the frequency of its vibrations.

A violin string 14 inches long vibrates at a frequency of 450 cycles per second.

Let x = length of a violin

y= frequency of its vibrations

To find: The frequency of a 12 inch violin string.

Put $x_1=14,\ x_2=12\\y_1=450,\ y_2=y$ in equation (1) , we get

$(14)(450)=(12)(y)$

Divide both sides by 12 , we get

$y=\dfrac{(14)(450)}{12}=525$

Hence, the frequency of a 12 inch violin string = 525 cycles per second.

3 0

3 years ago