The diameter of a circle measures 7 5/6 inches. What is the radius of the circle? Enter your answer as a mixed number in the box.

Answer:

If I am correct both figures are similar because of AA (angle reasoning). They have the same angles meaning they are similar triangles even if they don't fit the SSS, SAS, etc. reasoning

Step-by-step explanation:

You could also do the cross multiply divide method to determine if they equal the corresponding length (which they do!) hope this helps! :)

edit: Question 4) is similar following the AA statement for triangles

Question 5 is not similar because it doesn;t match doing the cross multiply divide and has two right angles because they are

rectangles!

Question 1) Corresponding angles are related in two similar figures because they are the same. In triangles two figures similarity can be determined by identifying if they share two angles.

Question 2) Corresponding side lengths can determine the similarity by proving that the shape was only transformed by a scale factor and did not alter shape.

Question 3) No, not neccesarily. If they are the same size, length, and shape they are congruent. Similar figures are altered and different based on a scale factor

Answer:

Step-by-step explanation:

Let the width is w and the length is w + 5.

The area is 84:

The amount of money returned as interest depends on the initial

amount, the interest rate and the number of years.

Response:

Given:

The return on investment = $6,336

Amount the Certificate of Deposit pays = 4.4% simple interest

The initial investment (the principal), P= $16,000

Required:

The duration the initial amount of money had been invested.

Solution:

Interest = Principal × Rate × Time

Which gives;

[tex]Time = \mathbf{ \dfrac{Interest }{ Principal \times Rate}}[/tex]

Therefore;

[tex]Length \ of \ time \ of \ the \ investment = \mathbf{ \dfrac{\$6,336}{\$16,000 \times 0.044(/year)}} = 9[/tex]

Learn more about simple interest here:

https://brainly.com/question/22943790

Answer: 9 years

Hope this helps.

Answer:

Measure of each angle is 71 and 19 degrees.

Step-by-step explanation:

Let's the angle  be "n"

Complementary angle = 90 °

n- (90-x) = 52

n - 90+ n = 52

Combine like terms

n - 90+ n = 52

2n-90=52

Add 90 to both sides of the equation

2n-90+90=52+90

simplify

2n = 142

Divide both sides of the equation by the same term

2n/2 = 142/2

Simplify

n = 71

2n = 142

Measure of each angle

1st = 71

2nd = 90-71 = 19

[RevyBreeze]

Answer:

(3,2)

Step-by-step explanation:

2x-4=y

2y+3x=13

We substitute the y in. They already gave us the equation 2x-4=y simplified so you would just plug this into the other equation

2(2x-4) +3x=13 : *distribute*

4x-8+3x=13 :  *combine like terms*

7x-8=13  * add the 8 to the other side*

7x=21 *divide*

x=3

So  the y=2x-4 is what we added in the place of the y to subtract it and solve for x. The second step would be solving for y. So now that we have our answer, 3  we plug it into the other equation preferably.

2(3)-4 =y : 6-4=y : 2=y

We can check our answer by pugging both x and y into both equations to make sure they are right. The statement should be true.

2x-4=y         2(3)-4=(2)    2=2

2y+3x=13    2(2)+3(3)=13    13=13

Answer: 173 because she wrote two checks was nto given two checks so you subtract :)

Step-by-step explanation:

Answer:

$159.85

Step-by-step explanation:

Answer:

-14>y-4

so -14+4>y-4+4

and -10>y

Answer: 2 Quarters and 6 dimes

Step-by-step explanation:

2 quarters = 50 Cents
6 Dimes = 60 Cents
2 Quarters + 6 Dimes = $1.10

Answer:

20 units

Step-by-step explanation:

there is a theroem when a tangent and secant intersect outside a circle

as per it

CU*DU = GU^2

7.2*DU = 12*12=144

DU = 20 units

The cost of meal = [tex]$30[/tex]

The tip to the waiter = [tex]8%[/tex]%

Discount = [tex]10%[/tex]%

Cost = [tex]30 + 0.08 * 30 - 0.1 * 30[/tex]

Cost = [tex]30(1 + 0.08 - 0.1)[/tex]

Cost = $[tex]$29.4[/tex]0

Answer:

5

Step-by-step explanation:

45=(2x-1)(x)

45=(2(5)-1)(5)

45=(10-1)(5)

45=(9)(5)

45=45

Answer:

[tex]\frac{10}{3}[/tex]

Step-by-step explanation:

5 can be written as [tex]\frac{5}{1}[/tex].

Now, we multiply across the numerator and across the denominator.

[tex]\frac{2}{3}*\frac{5}{1}[/tex]

2 * 5 = 10

3 * 1 = 3

[tex]\frac{10}{3}[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

Check the attachment.

Seven boys hire DVD's and each pays R5,50

I assume R 5.50 ( R to be the currency)

also assuming that they dont hire any more DVDs

total amount paid by 7 boys

= 5.50 × 7

= 38.5

when 4 more friends join the amount should get divided by 11 ( 7 + 4 )

so each has to pay an amount of 38.5 / 11 = 3.5

I think my assumptions here were correct

if not

let me know :)

Answer:

Yes

Step-by-step explanation:

Hey there!

4(x + 3)

= 4(1x + 3)

DISTRIBUTE 4 WITHIN the PARENTHESES

= 4(1x) + 4(3)

= 4(x) + 4(3)

= 4x + 12

Therefore, your answer is:

Option B. 4x + 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\stackrel{40\%~of~P}{0.4P~~~~}\\ P=\textit{initial amount}\dotfill &P\\ r=rate\to 22.5\%\to \frac{22.5}{100}\dotfill &0.225\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ 0.4P=P(1-0.225)^t\implies \cfrac{0.4P}{P}=(1-0.225)^t\implies 0.4=0.775^t[/tex]

[tex]\log(0.4)=\log(0.775^t)\implies \log(0.4)=t\log(0.775) \\\\\\ \cfrac{\log(0.4)}{\log(0.775)}=t\implies \stackrel{\textit{about 3years, 215days and 8hrs}}{3.59\approx t}[/tex]

so at that time the value is 40% of its original value, I guess is less than that a minute or an hour later.

Answer:

18√(2y)

Step-by-step explanation:

10√(2y) +  5√(2y) + 3√(2y) =

= 18√(2y)

= 18√(2y)

Simplifying Square Roots. To simplify a square root make the number inside to square root as small as possible (but still the whole number) Get your calculator or check if you need them are both have the same value this is the rule when a or b are possitive.

= 10√(2y) +  5√(2y) + 3√(2y)

= 18√(2y)

Enter a expression who want to simplify into the editor. The simplification calculator allows you for take a simple and complex expression or simplify or reduce the expression to it is simplest way. The calculator works for both numbers or expressions containing variables

Learn more about Simplifying Square Roots here https://brainly.com/question/12903659

#SPJ2

Step-by-step explanation:

move the denominators across sides

4x-8 = 3x+15

x=23

Answer:

Step-by-step explanation:

[tex] \frac{x - 2}{3} = \frac{x + 5}{4} \\ 4(x - 2) = 3(x + 5) \\ 4x - 8 = 3x + 15 \\ 4x - 3x = 15 + 8 \\ x = 23 \\ [/tex]

Answer:

C

Step-by-step explanation:

1 + 0.02 is the 2% growth of the collection every month, to the power of 12 means the 12 months, and to the power of 2 mean 2 years.

Answer:

20

Step-by-step explanation:

One angle of a nonagon has an angle of 140 degrees, so

7x = 140.

Divide 140 by 7 to find the value of x.

140 ÷ 7 = 20

Answer:

  B, C

Step-by-step explanation:

Since y=0, you are looking for equations such that 10 times the coefficient of x is the constant in the equation.

  a) 5·10 ≠ 15

  b) 2·10 = 20 . . . . select this one

  c) 10 = 10 . . . . select this one

  d) 3·10 ≠ 13

  e) 4·10 ≠ 20

  f) 6·10 ≠ 50

Answer/Step-by-step explanation:

If the vertical line touches the graph at more than one point, then the graph is not a function.Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function.  

[RevyBreeze]

Yes it's a function

As per the defination of function.

If every domain of the relationship has an unique range that's a function

So

Here

And rest also have unique range

So it's a function

Answer:

correct me if I'm wrong......