Why is triangle DFC congruent to triangle AEB?

[tex]10s = 1000 - 100[/tex]

[tex]10s = 900[/tex]

NOW TO GET THE VALUE OF s it means we will have to divide both sides by the coefficient os s which is 10.Meaning 10 will divide 10s and also 900 we get:

[tex] \frac{10s}{10} = \frac{900}{10} \\ s = 90[/tex]

[tex]12m = 25 + 5 \\ 12m = 30 \\ \frac{12m}{12} = \frac{30}{12} \\ m= \frac{30}{12} \\ m = \frac{15}{6} [/tex]

Answer:

The last answer is correct.

Step-by-step explanation:

The plant start at 4 inches (0,4) and then grows 1 inch each week.

(1,5), (2,6).(3,7) and so on.

Answer: The length of the edge of the crate is 3 feet.

Step-by-step explanation:

The formula of the volume of a cube is the cube of edge length.

The volume of the cube (V) = (edge)³ ...................................(1)

In the given question volume is 27 cubic feet.

So, V = 27 cubic feet

Now we replace the Volume with the edge using equation (1)

i.e. (edge)³ = 27

or we can say that the cube root of the edge is equal to 27

i.e. edge = ∛27

which is equal to 3

hence, edge = 3 feet

To calculate the cube root write prime factors of 27 and group them in groups of three

i.e. ∛27 = ∛(3×3×3) = ∛ (3)³ = 3

Answer:

See explanation

Step-by-step explanation:

Slope: 4 since $4 was made per ticket. $4/1=$4.

Equation: y=mx+b

0=4(0)+b ==> the function has a point on the origin, (0,0).

0=0+b

b=0

y=4x+0

y=4x ==> equation of line

Answer:

day 1:  $4

day 2: $8

day 3: $12

day 4; $16

Step-by-step explanation:

y= 4x

cuz you add 4 each time

Using the alternate exterior angles theorem, the value of x is: 127°.

When two parallel lines are intersected by a transversal to form alternate exterior angles that lie outside on each of the parallel lines, the alternate exterior angles theorem states that both angles are equal or congruent to each other.

From the diagram given, we are told that line m is parallel to line n.  transversal t crosses both lines  and n. The angles, x and 127 degrees are alternate exterior angles that lie on each parallel lines.

Therefore, the alternate exterior angles theorem states that, both angles would be equal.

Thus, we can conclude that, x = 127°.

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Based on the graph given on the height of the helicopter, the slope and y-intercept of the function would be:

To find the slope of the line om the height of the helicopter, the formula is:

= Change in y / Change in x

= (100 - 50) / (5 - 0)

= 50 / 5

= 10

The y-intercept takes the form b in the linear equation model:

y = mx + b

100 = 10(5) + b

b = 100 - 50

b = 50

The slope is 10 and the y-intercept is 50.

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The ratio of shots made to the shots missed for each player will be:

Angela = 4:1

Emily.= 3:1

Christina = 7:3

It should be noted that from the information given, Angela made 12 shots and missed 3 shots. Therefore the ratio is:

= 12/3

= 4/1

= 4:1

Emily made 15 shots and missed 5 shots. Therefore the ratio is:

= 15/5

= 3/1

= 3:1

Christina made 21 shots and missed 9 shots. Therefore the ratio is:

= 21/9

= 7/3

= 7:3

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Answer:

what are th e statements though

When the scale on a map is 1 : 30000, the actual distance represented by 1 centimetre is 300 meters.

It should be noted that in order to get the distance, we have to convert 1cm to meter. It should be noted that;

100cm = 1 meter

1cm = 1/100 = 0.01 meters.

Therefore, when the scale on a map is 1 : 30000, the actual distance represented by 1 centimetre will be:

= (0.01 × 300000)

= 300 meters.

Therefore, the distance is 300m

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Answer: y = 2/3 -2

Step-by-step explanation: using a graph you can plot the point (-3, 2).

After this, you can use the slope of 2/3 to graph the starting point. You go 3 to the left and 2 up going through the y axis of -2. using y = mx + b, you can plug in the slope of 2/3 and the starting point of -2.

Answer:

-7

Step-by-step explanation:

Because picture y with a 1 in front of it the divide -7 by 1 and you get -7

Given the following functions:

to find f(g(4)), we can start by finding g(4) first:

now that we know that g(4) = 8, we can calculate the composition f(g(4)):

Answer:

f(g(4) ) = 31

Step-by-step explanation:

evaluate g(4) then substitute the value obtained into f(x)

g(4) = [tex]\frac{4^2}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8 , then

f(8) = 3(8) + 7 = 24 + 7 = 31

The width of Michelle's room is 111 inches.

The ratio of the length to the width is 4:3.

The width of her room can be calculated as follows:

Therefore,

length = 12 ft 4 inches

Hence.

1 ft = 12 inches

12 ft = 144 inches

Hence,

length = 144 + 4 = 148 inches

Therefore,

x = length + width

4 / 7 × x = 148

4x / 7 = 148

cross multiply

4x = 148 × 7

4x = 1036

x = 1036 / 4

x = 259

Hence,

width of the rectangle = 259 - 148

width of the rectangle = 111 inches

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Step-by-step explanation:

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please mark me as brainlist

Number line with open circles on -4 and -2, with shading in opposite directions.

Given: 2 |x + 3| +1 > 3 absolute value inequality.

We must solve and graph the following absolute value inequality:

2 |x + 3| +1 > 3

Take a look at the following absolute value inequality: 2 |x + 3| +1 > 3

We have to apply absolute rule:

If |u| > a , a > 0 then u < -a or u > a.

2|x + 3|+1 < -3 or 2|x + 3|+1  >3

Consider inequality first.

2|x + 3|+1 < -3

When we subtract 1 from both sides, we get,

2|x + 3| +1 -1 < -3 -1

Simplify,

2 |x + 3| < -4

We get by dividing both sides by two,

(2|x + 3|)/2 < -4/2

|x + 3| < -2

There is no solution for x ∈ R.

Now consider the second inequity.

2|x + 3|+1  >3

When we subtract 1 from both sides, we get,

2|x + 3|+1 - 1  >3 - 1

Simplify,

2|x + 3|  >2

We get by dividing both sides by two,

(2|x + 3|) / 2  >3/2

|x + 3| > 1

x + 3 < -1 or x + 3 >1

x < -4 or x > -2

As a result, we have the solution to the absolute value inequality:

2|x +3|+1  > 3 as

On the number line shown below.

On the graph shown below.

As a result, the number line has open circles on -4and -2, with shading going in opposite directions.

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Based on the fact the game of hearts, four players are each dealt 13 cards from a deck of 52

This is further explained below.

A surjective function is a kind of function that exists in mathematics that ensures that any element y may be transferred to element x in such a way that f(x) equals y.

To put it another way, each element that makes up the function's codomain is the mirror image of at least one element that makes up the domain.

Generally, function, f(k) maps a card to each player

And since each player is dealt 13 cards st 13 of the cards are mapped to each player.

It is a function as one card is mapped to one and only one player.

The function is not injective because 13 cards 1 are mapped to one player so it is a many-one function but the injective function does not map two elements to a common clement.

In conclusion, It is surjective as each player is dealt 13 cards. the function is not injective hence rot bijective.

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Answer:

1/24

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

so first you cross out the 2 and 16 because 2*8=16

then you multiply the numerator and the denominator.

then bam! your answer!

1/24

Answer:

20

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{50}[/tex] × [tex]\sqrt{8}[/tex]

= [tex]\sqrt{50(8)}[/tex]

= [tex]\sqrt{400}[/tex]

= 20

Information regarding various dogs' masses is displayed in the table.

(a) 4 bare minimum number of dogs that could weigh more than 27 kg.

(b) 17 dogs, in total, may weigh more than 27 kg.

Given that,

Information regarding various dogs' masses is displayed in the table.

(a)Calculate the bare minimum number of dogs that could weigh more than 27 kg.

(b)Calculate how many dogs, in total, may weigh more than 27 kg.

(a) 4 bare minimum of dogs that could weigh more than 27 kg.

Because the minimum number so lets assume that all dogs in 20≤x<30 are less then 27.

Therefore, 4 bare minimum of dogs that could weigh more than 27 kg.

(b) 17 dogs, in total, may weigh more than 27 kg.

Because the maximum number so lets assume that all dogs in 20≤x<30 are more then 27.

4+13=17

Therefore,17 dogs, in total, may weigh more than 27 kg.

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Answer:

Step-by-step explanation:

The better deal of the given pair is $31.05/1. The unit rate is $2.07.

The better deal is the deal that has the lower unit rate. Unit rate is the price per gallon. The unit rate can be determined by dividing the total cost by the total gallons bought.

Division is the operation that is used in mathematics to determine the quotient of two or more numbers. Division entails grouping a number into groups using another number. Other operations used in mathematics are addition, multiplication and subtraction.

Unit rate = total cost / number of gallons

$56 / 25 = $2.24

$31.05 / 15 = $2,07

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Answer:

C). [tex]1 - sec^{2} A[/tex]

Step-by-step explanation:

Lets say the bottom side is X, right side is Y, and hypotenuse is H.

[tex]tan A = \frac{Y}{X}[/tex]

[tex]tan B = \frac{X}{Y}[/tex]

[tex]\frac{tan A}{tan B} = \frac{\frac{Y}{X}}{\frac{X}{Y}} = \frac{Y}{X} * \frac{Y}{X} = \frac{Y^{2} }{X^{2}} = (\frac{Y}{X})^{2} = tan^{2} A= 1 - sec^{2} A[/tex]

The rate of change is found using the slope formula

m = ( y2-y1)/(x2-x1)

We have two points

( 1995, 2.54) ( 2010, 3.18)

m = (3.18-2.54) / (2010-1995)

=.64/15

$.042666666 per year

Rounding to the nearest cent

$.04 per year

We know that the price went up from 1995 to 2010 so the price increased

It increased an average of $.04 each year

A. The price of a gallon of gasoline increased by an average of $_.04__ per year from 1995 to 2010

From Option 1,2,3 and 4.

Option 3 transformation is A dilation does not always preserve distance.

Give that,

We have to find which transformation does not always preserve distance.

1 (x,y) → (x + 2, y)

2 (x,y) → (-y, -x)

3 (x,y) → (2x, y - 1)

4 (x,y) → (3-x, 2-y)

Option 3 is A dilation does not always preserve distance.

Dilation means a modification of this kind that alters the size of the image is called a dilatation. How much larger or smaller the image is is determined by the scale factor, often known as the scalar factor. A picture of each type of dilatation is shown below (one that gets larger and one that gest smaller).

Therefore, Option 3 transformation is A dilation does not always preserve distance.

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Answer: B

Step-by-step explanation: A whole number is a number that is not a decimal or a fraction and is over 0.

13.4 dollars.

This is the total amount Kelly deposit when she opened the account.

Here,

The total amount is determined by:

               F=I(1+rt)

Where

Here given ,

r = 1.2%

t = 7

F = $126

As a result,

I = F/(1+rt)

= 126/1+1.2*7

= 13.4 dollars.

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iyaazs humaizAnswer:

y-step explanation:

In linear equation, 17 seconds it will take to do a complete gaussian elimination of this size.

What are a definition and an example of a linear equation?

Given that your computer completes a 5000 equation back substitution in 0.005 seconds.

then here Work is: n = 5000 and its rate is = (n2) / 0.005 = 5000000000

and Given formula : The approximate operation counts = ((2n^3)/3) = (2.0 * (n3)) / 3.0 = 83333333333.33

then we can found time = operations / rate = 83333333333.33/5000000000 = 16.67 = 17 seconds

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Answer:

(10, -3)

Step-by-step explanation:

It is stated in the given information.