Are DEF and RPQ Congruent?

sattari [20]

Hey there!

Since you probably have better things to do, your answer would be A: π(3)²

To back up my answer, the formula to find the area of a circle is π · R² where R = Radius. In that formula then, you just plug everything in. Since the radius is 3, you would put 3 into the "( )". Finally, just plug the rest of the equation in!

I'm open to any question or comment!

God Bless!

-X8lue83rryX

5 0

3 years ago

On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took

dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score s. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for s:

$\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5$

Let's call the score of the reality TV star r. If we add their score to the set, we now have 12 scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

$\dfrac{1116.5+r}{12}=98.04$

We can now solve for r algebraically, first by multiplying both sides by 12:

$1116.5+r=98.04(12)\\1116.5+r=1176.48$

And then subtracting 1116.5 from both sides:

$r=1176.48-1116.5\\r=59.98$

6 0

3 years ago

in germany, VAT is at 19% Jeremy buys a calculator in germny for €58.31 This price includes VAT Find the amount of VAT paid by

Len [333]

We can use this equation to solve this problem:

t=p+(p⋅r)

Where:

t is the total price paid: 58.31 for this problem

p is the price before taxes: What we are solving for in this problem.

r is the tax or VAT rate: 19% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 19% can be written as 19100 or 0.19.

Substituting and solving for p gives:

58.31=p+(p⋅0.19)

58.31=1p+0.19p

58.31=(1+0.19)p

58.31=1.19p

58.311.19=1.19p1.19

49=1.19p1.19

49=p

p=49

Now, we can find how much the VAT was by taking 19% of 49:

19%×49=0.19×49=9.31

Another was to solve this is to subtract the price without the tax or VAT from the total price giving:

58.31−49=9.31

4 0

3 years ago

Read 2 more answers

elimination was used to solve a system of equations. one of the intermediate steps led to the equation 2x= 8. which of the follo

konstantin123 [22]

9514 1404 393

Answer:

C

Step-by-step explanation:

The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.

For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...

(4x +2y) -2(x +y) = (14) -2(3)

4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses

2x = 8 . . . . . . . . . . . . . . collect terms