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2 years ago

8

4 lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Another line extends from point

R to point U in between angle V R W.
Which is a pair of vertical angles?

∠VRU and ∠SRT
∠TRS and ∠VRW
∠TRV and ∠WRU
∠WRV and ∠SRW

1 answer:

lianna [129]2 years ago

4 0

Answer:

The Answer is B

Step-by-step explanation:

Edgenuity ;)

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Two unique letters are chosen at random from the alphabet.

ElenaW [278]

A - choosing letter A first

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2 years ago

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What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?

Mrac [35]

Answer: 70.47%

100% - 13% = 87%

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= 87% - 16.53%
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1 year ago

Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name

sattari [20]

Answer:

Given: A triangle ABC and a line DE parallel to BC.

To prove: A line parallel to one side of a triangle divides the other two sides proportionally.

Proof: Consider ΔABC and DE be the line parallel to Bc, then from ΔABC and ΔADE, we have

∠A=∠A (Common)

∠ADE=∠ABC (Corresponding angles)

Thus, by AA similarity, ΔABC is similar to ΔADE, therefore

AB/AD= AC/AE

⇒AD+DB/AD = AE+EC/AE

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Therefore, a line parallel to one side of a triangle divides the other two sides proportionally.

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Hope this helps!!!

3 0

2 years ago

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = 7x u2 − 1 u2 + 1 du 6x Hint: 7x

VikaD [51]

It looks like you're given

$g(x)=\displaystyle\int_{6x}^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du$

Then by the additivity of definite integrals this is the same as

$g(x)=\displaystyle\int_0^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du-\int_0^{6x}\frac{u^2-1}{u^2+1}\,\mathrm du$

(presumably this is what the hint suggests to use)

Then by the fundamental theorem of calculus, we have

$\dfrac{\mathrm dg}{\mathrm dx}=7\dfrac{(7x)^2-1}{(7x)^2+1}-6\dfrac{(6x)^2-1}{(6x)^2+1}=\dfrac{1764x^4+169x^2-1}{1764x^4+85x^2+1}$

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2 years ago

A tourist starts to walk up a mountain path that is 31 miles long at the rate of 4 miles per hour. After walking for a while, he

Sunny_sXe [5.5K]

Answer:

He pays to the cab driver for 25 miles.

Step-by-step explanation:

Consider the provided information.

Let us consider he walks x miles at the rate of 4 miles per hour.

As we know $Time=\frac{Distance}{Speed}$

Therefore, time taken is: $Time=\frac{x}{4}$

He get a taxi for (31-x) miles at the rate of 50 miles per hour.

Therefore, time taken is: $Time=\frac{31-x}{50}$

It took 2 hours after he started.

That means the sum of time take is 2 hours.

$\frac{x}{4}+\frac{31-x}{50}=2$

$\frac{25x+62-2x}{100}= 2$

$23x+62= 200$

$23x= 138$

$x= 6$

Hence he walk 6 miles and he get a taxi for 31-6=25 miles.

He pays to the cab driver for 25 miles.

5 0

2 years ago