3 years ago

Find the 20th term in the arithmetic sequence -4,1,6,11,16

1 answer:

4 0

Use formula:
an = a1 + d(n - 1)
a1 = -4, d = 5
Plug in the numbers
a20 = -4 + (20-1) * 5
a20 = -4 + 95, a20 = 91
Solution: the 20th term is 91

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SU and VT are chords that intersect at point R.

vovikov84 [41]

Answer:

<h2>The length of the line segment VT is 13 units.</h2>

Step-by-step explanation:

We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

$\frac{RS}{RT} =\frac{RV}{RU}$

Where

$RS=SR=x+6\\RT=x+4\\VR=RV=x+1\\RU=x$

Replacing all these expressions, we have

$\frac{x+6}{x+4} =\frac{x+1}{x}$

Solving for $x$ , we have

$x(x+6)=(x+4)(x+1)\\x^{2} +6x=x^{2} +x+4x+4\\6x-5x=4\\x=4$

Now, notice that chord VT is form by the sum of RT and RV, so

$VT=VR+RT\\VT=x+1+x+4\\VT=2x+5$

Replacing the value of the variable

$VT=2(4)+5\\VT=8+5\\VT=13$

Therefore, the length of the line segment VT is 13 units.

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Dr. Huebner provides vaccinations against measles and polio. Each polio vaccination consist of 4 doses,

saveliy_v [14]

Answer:

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A pair of shoes is on sale for 32$. The original price was $48. What is the percentage decrease in this price?

Licemer1 [7]

The decrease rate is 33.3%
Solution : 32$ on sale , original price is 48%
The deceased rate is x
48 (1-X)=32
x= 0.333

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Susan makes ribbon bows for a local pet store. She purchased 25 yards of ribbons and used 15 7/8 yards to make a dozen bows. How

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9 1/8 ribbon would be remaining

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Evaluate the expression when y = 3 <br> B.) 12y

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12y = 12*3 = 36 ← answer

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