What is the measure of ∠A, the exterior angle of the triangle shown below?


F. m∠A = 92°, because 180 – (50 + 38) = 92.

G. m∠A = 272°, because 180 – (50 + 38) = 92 and 92 + 180 = 272. H.m∠A=78°,because 50–38=12and90–12=78.

J. m∠A = 88°, because 50 + 38 = 88.

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression 2b+b2b+b and 3b3b and values of b as 1, 2 and 3.

Consider first expression that is, 2b+b2b+b .

Substituting the value of b=1b=1 ,

2\left(1\right)+\left(1\right)=2+1=32(1)+(1)=2+1=3 ....1

Substituting the value of b=2b=2 ,

2\left(2\right)+\left(2\right)=4+2=62(2)+(2)=4+2=6 ....2

Substituting the value of b=3b=3 ,

2\left(3\right)+\left(3\right)=6+3=92(3)+(3)=6+3=9 ....3

Consider second expression that is, 3b3b .

Substituting the value of b=1b=1 ,

3\left(1\right)=33(1)=3 ....4

Substituting the value of b=2b=2 ,

3\left(2\right)=63(2)=6 ....5

Substituting the value of b=3b=3 ,

3\left(3\right)=93(3)=9 ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

Step-by-step explanation:

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Answer:

2(x − 2)

Step-by-step explanation:

The length of a rectangle can be rpresented by the expression x+6. If the area of the rectangle is 2x^2+8x-24, what is the expression for the width.

The formula for the area of a rectangle = Length × Width

Area of the rectangle = 2x² + 8x - 24

Length = x + 6

We can find the width of the rectangle be factoring the Area

Hence, factorising

2x² + 8x - 24

= 2(x − 2)( x + 6)

Therefore, the Width of the rectangle =2(x − 2)

Answer:97 °

Step-by-step explanation:

83° & b° are a supplementary angle, meaning that they equal 180°. So:

83 + b = 180

b = 97°

Answer: The answer is C 11/3

Isolate the variable by dividing each sides by a factors that don't contain the variable.

Answer:

41 ft

Step-by-step explanation:

We can start by first finding the area of the top square

3*3=9

then we can find the area of the bottom rectangle

4*8=32

then we can add them together

32+9=41

Can I have Brainliest please :)

Answer:

53 [tex]ft^2[/tex]

Step-by-step explanation:

We can find the area of the figure by adding the areas of the square and the rectangle.

Area of square:

3 x 3 = 9 squared ft

Area of rectangle:

4 x (8 + 3) = 4 x 11 = 44

Add the areas:

9 + 44 = 53

The area of the figure is 53 squared feet.

Answer:

b 5/12

Step-by-step explanation:

Given:

The explicit function is:

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]

To find:

[tex]f(1)=?,r=?[/tex] and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

[tex]f(n)=ar^{n-1}[/tex]            ...(i)

Where, a is the first term and r is the common ratio.

We have,

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=1000[/tex]

[tex]f(1)=1000[/tex]

And,

[tex]r=\dfrac{1}{4}[/tex]

For [tex]n=1[/tex],

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]

[tex]f(1)=1000(1)[/tex]

[tex]f(1)=1000[/tex]

For [tex]n=2[/tex],

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]

[tex]f(2)=1000\times \dfrac{1}{4}[/tex]

[tex]f(2)=250[/tex]

Similarly, substituting [tex]n=3,4,5[/tex], we get

[tex]f(3)=62.5[/tex]

[tex]f(4)=15.625[/tex]

[tex]f(5)=3.90625[/tex]

Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].

Given:

The explicit function is:

To find:

and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

           ...(i)

Where, a is the first term and r is the common ratio.

We have,

        ...(ii)

On comparing (i) and (ii), we get

And,

For ,

For ,

Similarly, substituting , we get

Therefore,  and the first five terms are .

Answer:

I think the value of -124 is just 124

Just remove the negative!!

Step-by-step explanation:

Hope this helped!!!

Answer:

[tex]201.06[/tex]

Step-by-step explanation:

V=π[tex]r^{2}[/tex]h/3=π·42·12

3≈201.06193

Answer:

i think it's 2.2

Step-by-step explanation:

it looks like (5,11) is a point that the line crosses so when you divide 11 by 5, would get 2.2

9514 1404 393

Answer:

  3.95 in

Step-by-step explanation:

The volume is given by ...

  V = πr²h

Solving for radius, we get ...

  r = √(V/(πh))

For the given numbers, the radius is ...

  r = √(980 in³/(π·20 in)) = 7/√π in ≈ 3.95 in

The radius of the cylinder is about 3.95 inches.

Answer:

C = 95°

D = 72°

F = 108°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)

Using these relations, we have .

 C = 180° -E = 180° -85° = 95°

 D = 144°/2 = 72°

 F = 180° -D = 180° -72° = 108°

Answer:

$1,649.80

Step-by-step explanation:

Sydney will have earned $1293.35 in interest by her 60th birthday.

To solve this problem, we need to use the formula for continuously compounded interest:

A = P [tex]e^{rt}[/tex]

Where:

A is the final amount of money in the account (including principal and interest)

P is the initial principal (in this case, $400)

r is the interest rate (in this case, 3.7% per year)

t is the number of years the money is invested (in this case, 39 years)

e is the mathematical constant approximately equal to 2.718

Plugging in the values from the problem, we get:

A = $400[tex]e^{0.037 \times 39}[/tex]

Calculating this, we find that A = $400[tex]e^{1.443}[/tex] = $1693.35

Therefore, he will have earned $1693.35 - $400 = $1293.35 in interest by her 60th birthday.

To learn more about Compound interest click here:

brainly.com/question/25857212

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Answer:

coefficient is 5y

constants are 7,2,1

no like terms

Answer:

160403.47

Step-by-step explanation:

Please mark as brainliest

7.32*600=4392

4392*0.56= 2459.52

2459.52*3= 7378.56

7378.56/3.45=2138.71

2138.71*75= 160403.47

Answer:

28.5161739131

hope this answer helps you.....

A

Step-by-step explanation:

Because it's a complex number

Answer:

432167

Step-by-step explanation: programing

Step-by-step explanation:

we know that that the stickers are 1 inch long and 1 inch wide.

We also know that 1x1=1

There are also 3 stickers.

1x3=3

3 is your area.

Answer:

14. 6 x [tex]10^{17}[/tex]

15. 28.615 x [tex]10^{10}[/tex]

16. I'm so sorry, I'm not sure!

17. 1.26 x [tex]10^{10}[/tex]

18. 1.639 x [tex]10^{-8}[/tex]

19. 2.025 x [tex]10^{17}[/tex]

Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!

-Aphrodite

Step-by-step explanation:

Answer:

2 out of 15 chance its green

Step-by-step explanation:

there's 15 marbles in total and 2 are green

Answer:

∠a = 45°

Step-by-step explanation:

We are told that △abc and △xyz are congruent.

Thus;

∠a = ∠x

∠b = ∠y

∠c = ∠z

We are given;

∠y = 90°

Thus, ∠b = 90°

Now,we are told that ∠a is one half the size of ∠b.

Thus; ∠a = ½ × ∠b

∠a = ½ × 90

∠a = 45°

Answer:( 3, 4)

Step-by-step explanation: :)

Answer

I am getting a different answer The reason being the first year we calculating the 4% of the initial amount of the $500 towards the end of the year if he deposits the 250 the second year he gets to have a 4% interest of the 750 in total If he deposits the 250 in the 3rd he gets to have a 4% of 1000 So if you actually calculate that and get the total of all the amount which is 1,000 plus the percentages of all that you get what I've shared

9514 1404 393

Answer:

  d  $1342.83

Step-by-step explanation:

At the end of the first year, the account balance will be $500 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $500(1.04) +250 = $770

At the end of the second year, the account balance will be $770 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $770(1.04) +250 = $1050.80

At the end of the third year, the account balance will be $1050.80 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $1050.80(1.04) +250 = $1342.83

_____

Additional comment

You can make an appropriate guess by realizing the total of the deposits is ...

  $500 + 3×250 = $1250

Adding interest to that will increase the amount. The only answer choice greater than $1250 is $1342.83.

Answer:  100%

97:97*100 =

(97*100):97 =

9700:97 = 100

Now we have: 97 is what percent of 97 = 100

Question: 97 is what percent of 97?

Percentage solution with steps:

Step 1: We make the assumption that 97 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=97$.

Step 4: In the same vein, $x\%=97$.

Step 5: This gives us a pair of simple equations:

$100\%=97(1)$.

$x\%=97(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{97}{97}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{97}{97}$

$\Rightarrow x=100\%$

Therefore, $97$ is $100\%$ of $97$.

Answer:

100%

Step-by-step explanation:

Answer:

(1 x 344) ft

(344 x 1) ft

(2 x 172) ft

(172 x 1) ft

(4 x 86) ft

(86 x 4) ft

(8 x 43) ft

(43 x 8) ft

the garden with the least perimeter is the garden with dimensions 8 x 43

Step-by-step explanation:

area of a rectangle = length x width

given the area, we can determine the dimensions of the rectangle by calculating the factors of 344. the factors are then multiplied to determine the area

factors of a number are numbers that divide the original number evenly. they are numbers that when used to divide another number, we derive only only numbers

Factors of 344 = 1, 2,2,2,43 and 344

Possible dimensions and their areas

1 x 344 = =344 ft²

2 x 172 = 344 ft²

4 x 86 = 344 ft²

8 x 43 = 344 ft²

Perimeter of a rectangle = 2 x (length + width)

i would use the dimensions i calculated to determine all the possible perimeters

2 x ( 1 + 344) = 690 ft

2 x (2 + 172) = 348 ft

2 x (4 + 86) = 180 ft

2 x (8 + 43) = 102 ft

the garden with the least perimeter is the garden with dimensions 8 x 43

Answer: I don't think so because they can only see it when you turn it in. Trust me I have kami too.

Answer: 81

Step-by-step explanation:

Answer:

the slope is -1

Step-by-step explanation:

formula for slope is (y2-y1)/(x2-x1)

lets say (-2,-3) is (x2,y2)

-3-(-5)=2

-2-0=-2

2/-2=-1

Answer:

$18

Step-by-step explanation:

15 x 6 = 90

12 x 6 = 72

90 - 72 = 18

He saves 18 dollars

There are no pictures with the multiple choice answers.

My guess would be a line graph

Answer:

Owen can type 536 2/3 per minute

Step-by-step explanation:

let me know if this is wrong