17 rounded to the nearest 10th of a degree

The midpoint of the sides [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex]  are the points that half way between  [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] respectively.

The option that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3

Reasons:

The given coordinates of the vertices of rectangle ABCD are;

A(0, 0), B(12, 0), C(12, 6), and D(0, 6)

The midpoint of side [tex]\overline{AB}[/tex] = Point F

The midpoint of side [tex]\overline{CD}[/tex] = Point F

The coordinates of point F is given by the midpoint formula, as follows;

[tex]\displaystyle \mathrm{The \ midpoint \ of \ a \ line \ with \ endpoints \ (x_1, \ y_1) \ and \ (x_2, \ y_2) = \mathbf{ \left(\frac{x_1 + x_2}{2}, \ \frac{y_1 + y_2}{2} \right) }}[/tex]

Which gives;

[tex]\displaystyle \mathrm{The \ coordinate \ of \ F \ the \ midpoint \ of \ \overline{AB} = \mathbf{ \left(\frac{0 + 12}{2}, \ \frac{0 + 0}{2} \right)} =(6,\ 0)}[/tex]

[tex]\displaystyle \mathrm{The \ coordinate \ of \ G \ the \ midpoint \ of \ \overline{CD} = \left(\frac{12 + 0}{2}, \ \frac{6 + 6}{2} \right) =(6,\ 6)}[/tex]

[tex]\overline{FB}[/tex] is parallel to the x-axis, therefore;

Similarly, [tex]\overline{GC}[/tex] is parallel to the x-axis, therefore;

Which gives;

The correct option is that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3.

By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]

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The dimension of the shape is approximately 1.45 meters by 0.55 meters

Assume the shape is a rectangle, that has the following dimensions.

Length = x

Width = y

So, the area is:

Area = xy

The perimeter is

Perimeter = 2(x + y)

Substitute known values

[tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{2(x+y) = 400cm}[/tex]

Express cm as m

[tex]\mathbf{2(x+y) = 4m}[/tex]

Divide through by 2

[tex]\mathbf{x+y = 2m}[/tex]

Make x the subject (ignore the units)

[tex]\mathbf{x= 2 - y}[/tex]

Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{(2-y)y = 0.8}[/tex]

Open brackets

[tex]\mathbf{2y-y^2 = 0.8}[/tex]

Rewrite as:

[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx (0.55,1.45)}[/tex]

Recall that:

[tex]\mathbf{x= 2 - y}[/tex]

So, we have:

[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]

[tex]\mathbf{x \approx (1.45,0.55)}[/tex]

Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters

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Answer:

C. (1, 0)

Step-by-step explanation:

1,0 should be the vertex for this parabola

1,0 should be the correct answer

Answer:

Step-by-step explanation:

d/t=mph

Billy's friend's house is 20 miles away from him.

What is Speed?

The ratio of the distance travelled by an object to the time required to travel that distance.

Given that when Billy moves with his normal speed, it takes 40 min for him to reach his friend's house and if he slows his speed to 20 mph he takes 2 hours to reach the same distance.

We know, Speed = Distance/time

Let x be Billy's normal speed,

Therefore, 2x/3  = 2 (x - 20)

2x/3 = 2x - 40

x = 3x - 60

x = 30

Therefore, Billy's normal speed is 30 mph

Distance covered by him = 2 (30 - 20) = 20 mi

Hence, Billy's friend's house is 20 mi far.

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Answer:

Step-by-step explanation:

1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."

__

2. The angle where chords cross is the average of the intercepted arcs:

  (50° +40°)/2 = 45° . . . . measure of angle CSA

__

3. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (150° -80°)/2 = 35° . . . . measure of angle HEO

__

4. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (220° -140°)/2 = 40° . . . . measure of angle MAT

Please note that this is the supplement of arc MT between the tangents.

Answer:

The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.

Neuron Function: Food Preservation

Fertilizer Meaning: Exocrine Glands

Food Chain Examples: Cell Biology

Step-by-step explanation:

yo kya haal hai

Answer:

there is no graph though

Answer:

Step-by-step explanation:

Intersecting chords theorem:

Substitute values and solve for OS:

Correct choice is B

Answer:

1,2,4,

Step-by-step explanation:

Answer:

Unit rate is 3

Step-by-step explanation:

The unit rate means the value of ONE unit.

In this case, it would be the value of ONE pound of apples.

I divided 6 by 2, which gave me THREE.

Answer:

x=21

<1=120

Step-by-step explanation:

So to find x set up an equation like this:

(5x+15)+(3x-3)=180

since the bottom and top lines are congruent they are 'interior angles on the same side of a transversal' which are always supplementary, so that's where 180 comes from.

calculate the equation and you'll get x=21 :D

next to find 1 just put 21 in place of x: 3(21)-3=60

since it's supplementary to angle 1 you take 180-60=120

angle <1=120!

Answer:

7 students

Step-by-step explanation:

72/100 × 25 students = 18

18 students are interested in mathematics

therefore, 25 - 18 = 7 students are not interested

Answer:

1

Step-by-step explanation:

there are 3 people and 1 boat holds three people

Answer:

x=28

Step-by-step explanation:

So first slove for the right angle triangle

a²+b²=c²

a=12 and c=15

12²+b²=15²

144+b²=225

b²=225-144

b²=81

b=√81

b=9

so now that you know the top two sides add 10 due to the lenght given on the bottom

9+10+9=28

Answer:

y=8

Step-by-step explanation:

Multiply both sides of the equation by 4.

y−64=−56

Add 64 to both sides.

y=−56+64

Add −56 and 64 to get 8.

y = 8

and have a good day as well

Answer:

Answer is 4, explained answer in the comments because I didn't see the answer button, but now I do.

Answer:

-2

Step-by-step explanation

range is just the y level, so the lowest point on the y axis that the function reaches is -2

Answer:4.184*10^-1

Step-by-step explanation: in standard form or scientific notation

Answer:

Yes, because in 1 game you scored 12 points you didn't score multiple points in multiple games.

Answer:

what ordered pairs?

Step-by-step explanation:

Answer:

1/3 + 1/12 = 5/12

Step-by-step explanation:

Take a look on the picture

There are the solutions

to get the correct answer

Hope it helps

#LetsStudy

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The  product of 3/5 and 5/9 is,

Product = 3/5 × 5/9

= (3×5)/(5×9)

= 15 / 45

= 1/3

The  product of 5/9 and 3/20 is,

Product = 5/9 × 3/20

= (5×3)/(9×20)

= 15 / 180

= 1/12

Now, the sum of the two products can be done as shown below,

Sum = 1/3 + 1/12

       = 4/12 + 1/12

       = (4+1)/12

       = 5/12

Hence, the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

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Answer:

1st option

Step-by-step explanation:

cosU = [tex]\frac{asjacent}{hypotenuse}[/tex] = [tex]\frac{UV}{UW}[/tex] = [tex]\frac{15}{17}[/tex]

Answer:

72 grams

Step-by-step explanation:

7.2 x 10 = 72

Answer:

X = 2

Step-by-step explanation:

Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0

The line is vertical (undefined

Answer:

i found out how to get 50

Step-by-step explanation:

14 + 18 x 2 = 50

Answer:

The slope of f(x) is greater than the slope of g(x)

Here is:

https://www.insta gram.com/p/CPqiSD4nxoD/?utm_medium=copy_link

Answer:

Step-by-step explanation:

If the same line holds the hypotenuse of two right triangles, both of the triangles are similar.

This is because they have same ratio of corresponding sides.

Yes .

Let's check your graph

In ∆ADE and ∆ABC

Hence both triangles are similar

There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Let x represent the number of 20 cent ($0.2) coins

i) Since there are 35 coins in total:

Number of 50 cent coins = 35 - x

ii) The total value of the coins is $13.90. Hence:

0.2x + 0.5(35 - x) = 13.90

iii) 0.2x + 17.5 - 0.5x = 13.90

0.3x = 3.6

x = 12

Number of 50 cent coin = 35 - x = 35 - 12 = 23

Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

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Problem 1

x = number of weeks

y = amount left on gift card (in dollars)

He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100

The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.

=======================================================

Problem 2

The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.

We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier

y = -4.99x + 100

y = -4.99*4 + 100

y = -19.96 + 100

y = 80.04

After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.

The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.

Answer:

4.8

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

mark braineist pls

Answer: 4.25 meters of rope

Step-by-step explanation:

Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.

Hope it helps :) and let me know if you want me to elaborate.