Luis is proving that the sum of the
measures of the interior angles of a
triangle is 180°. Which statement correctly
completes Luis's proof?

Step-by-step explanation:

x = 360 - 128 + 52 + 38

x = 360 - 218

x = 142

the answer for this question is x = 9

x=9 ig

but how did I get -3?

Answer:

the answer is F

Step-by-step explanation:

one of the point is 2,10 and the costant would be 5 so g would be 30/6 which is 5 h would be 45/9 which is 5 and j would be 10/2 which is 5 so f is the correct answer because it foesnt have the same unit ratr

Answer:

The attached file contains the solution to the question

The function represents a decay of 88.97% per unit increase in x.

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

The exponential function can be written in the form of y = [tex]ab^{x}[/tex], where:

a is the initial value or the value of the function when x = 0

b is the base or the factor by which the function changes for each unit increase in x

Comparing this form to the given function, we can see that:

a = 8600

b = 0.11

To determine whether the function represents growth or decay, we need to consider the value of the base (b). If the base is greater than 1, then the function represents growth, and if the base is between 0 and 1, then the function represents decay.

In this case, the base (0.11) is between 0 and 1, so the function represents decay.

To determine the percentage rate of decrease, we can use the formula:

Percentage change = (new value - old value) / old value * 100%

Since the function represents decay, the old value is the initial value (a = 8600) and the new value is the value of the function when x = 1:

y(1) = 8600(0.11)¹ = 946

Plugging in these values, we get:

Percentage change = (946 - 8600) / 8600 * 100% = -88.97%

Therefore, the function represents a decay of 88.97% per unit increase in x.

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Heyo xD! Its easy since we have been asked to find out the total height of the stack which will be equal to the sum of height of each box. Thus, we can easily add them up and get our answer.

Given :-

To Find :-

Solution :-

Height of the stack,

=> 6 ft. 6 inches + 4 ft. 11 inches + 5 ft. 8 inches

=> 15 ft. 15 inches

And we know that 12 inches = 1 ft.

Thus, 15 inches = 1 ft. 3 inches

Thus,

=> 15ft. + 1 ft. 3 inches

=> 16 ft. 3 inches

Thus, the height of the stack is 16 ft. 3 inches.

Answer:

17 feet and 1 inch

Step-by-step explanation:

6 feet and 6 inches + 4 feet and 11 inches equals  10 feet and 17 inches.

10 feet and 17 inches + 5 feet and 8 inches equals 15 feet and 25 inches.

When converted the answer is 17 feet and 1 inch. This is so because 25 divided by 12 equals 2 remainder 1 . 2 feet plus 15 feet equals 17 feet and the remainder is 1 which is 1 inch.

So, the answer is 17 feet and 1 inch.

Answer:

Point Form:

(−4,−9)

Equation Form:

x=−4, y=−9

Step-by-step explanation:

Answer:

  no solution

Step-by-step explanation:

A graphing calculator shows the left-side expression is never equal to the right-side expression for any real-number value of A.

The equation is not an identity, and has no solution.

__

Additional comment

By subtracting the right-side expression from the left-side expression, we get an equation of the form f(A)=0. Any solutions will be x-intercepts of the graph. The graph for this equation never comes close to crossing the x-axis.

Answer:

Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.

Step-by-step explanation:

pizza = circle

the area of a circle is

pi×r²

r = radius (half of diameter), in our case 15/2 = 7.5 in.

the total area of the whole pizza (circle) is

pi×7.5² = 56.25×pi = 176.7145868... in²

it is cut into 12 slices. Carson eats 5 of these 12 slices.

that means he eats 5/12 of the whole area :

176.7145868... × 5/12 = 73.63107782... in²

Answer:

a.) Graph is attached; blue is Petunia's and red is Billy's

b.) Number of Hours: 4 | Cost: 32 Pounds

Answer:

50°

Step-by-step explanation:

the sum of the angles of a quadrilateral is 360°

so

2x + 110 + x + 10 + 90 = 360

2x + x = 360 - 110 - 10 - 90

3x = 150

x = 150 : 3

x = 50°

-------------------------

check

50 + 10 + 2 * 50 + 110 + 90 =

360°.

the answer is good

Answer:

x = 50

2x = 110°

(x + 10)° = 60°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°

⇒ 2x° + (x + 10)° + 110° + 90° = 360°

⇒ 2x° + x° = 360° - 110° - 90° - 10°

⇒ 3x° = 150°

⇒ x = 50

Substitute found value of x into the expressions and solve:

⇒ 2x° = 2(50)° = 110°

⇒ (x + 10)° = (50 + 10)° = 60°

Answer:

28 square inches

Step-by-step explanation:

There will be 4 sectors in a circle each having 90° central angle.

-> Area of circle = 4*Area of sector of circle having central angle 90°

= 4*7

= 28 sq inches

Answer:

x=55°

Step-by-step explanation:

180_70( radii,sum of ^'s of a ∆)

=110

110%2(^at centre=2×^at the circum)

x=55°

Distance is the product of speed and time. The rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.

Distance is the product of speed and time. It is given by the function,

[tex]\rm Distance = Time \times speed[/tex]

Given at noon the distance between two ships is 170 km. Furter ship A is moving towards the east at a speed of 40 km/h, therefore, the distance covered by Ship A in 4 hours will be,

[tex]\rm \text{Distance covered by Ship A in 4 hours} = 4 \times 40 = 160\ km[/tex]

The distance covered by Ship B in 4 hours will be,

[tex]\rm \text{Distance covered by Ship B in 4 hours} = 4 \times 15= 60\ km[/tex]

At 4 pm the distance between the two ships is the hypotenuse of the red triangle as shown below,

[tex]\rm Hypotenuse = \sqrt{10^2 + 60^2} = \sqrt{100+3600 }= 60.827\ km[/tex]

The rate of change in the distance between the two ships can be written as,

[tex]\rm \text{Rate of change of distance} = \dfrac{170-60.827}{4} = 27.293\ km/h[/tex]

Hence, the rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.

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Answer;

J(5,3) = x,y

rotated on 90;

J'(-3,5)

Therefore, the coordinates of the resulting point is J'(-3,5).

Answer:

Step-by-step explanation:

perp. -8/3

y + 2 = -8/3(x - 8)

y  + 2 = -8/3x + 64/3

y + 6/3 = -8/3x + 64/3

y = -8/3x + 58/3

y + 2 = -3/8(x - 8)

y + 2 = -3/8x + 3

y = -3/8x + 1

Red cube will take 1,1 position (first row, first column).

Yellow cube will take 3, 4 position (third row, fourth column).

Green cube will take 4, 1 position (fourth row, first column).

A pattern is a repeated arrangement of numbers, shapes, colors and so on.

According to the given question.

We have three squares made up of small cubes.

In the three squares, only three cubes of each square are colored by following some pattern.

In the given series of square we can see that, the yellow colored cube moving straight forward. And the green and red cubes are moving diagonally.

Therefore, by following this pattern the  cubes of fourth square of the series will take position:

Red cube will take 1,1 position (first row, first column).

Yellow cube will take 3, 4 position (third row, fourth column).

Green cube will take 4, 1 position (fourth row, first column)

Thus, the third option is correct.

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Answer:

A. 496 ft2

Step-by-step explanation:

area of a triangle is

1/2 times base times height

1/2 times 16 times 62 =

496

Answer:

34 degrees

Step-by-step explanation:

Assuming that ADJ is a right angle, we can add 4x and 3x-8 and set equal to 90 degrees to simply to get get x.

7x-8=90

Add 8

7x = 98

 x= 14

Now that we know x, we can plug in the value to find angle CDJ.

3x-8

3(14)-8

34 degrees

Answer:

√13

Step-by-step explanation:

Plug into Distance formula --> √(0-(-3))^2 + (0-2)^2

---> √13

Answer:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

Step-by-step explanation:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

The distance Grad rode his bike 9 / 10 miles is represented in decimal as 0.9 miles.

Decimal number are number whose whole number part and the fractional part is separated by a decimal point. Example of decimal numbers are 0.345, 7.45, 6.72 etc.  

The distance Grad rode his bike is represented in fraction. The distance can be converted to decimal number as follows:

Distance in fraction = 9 / 10 miles

Therefore, the distance in decimal = 0.9 miles

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Answer:

x=27 degrees

EAF=  27

Step-by-step explanation:

sorry if this isnt right i tried my best

Answer:

[tex]beinggreat78~here~to~help~you.[/tex]

[tex]r = 16[/tex]

[tex]y = 16[/tex]

This is because if you subtract 16 by 4, and 16 minus 3, you get 13 and 12 as the quotients. Now, you want to add these 2 numbers together, which gives you 25.

Answer:

mortgage

Step-by-step explanation:

all the others just dont fit the question. might be wrong might not be who knows

Answer:

Infinite

Step-by-step explanation:

Most common examples are 1/2 3/6 7/14 4/8 2/4 5/10 8/16 50/100