In the given diagram, which of the following can you use to prove that triangle ABC is an isosceles triangle? Show the slopes of AB and CD are negative reciprocals. Show that D is the midpoint of AB. Show that CD = AD = DB.

Answer:

52.5 km

Step-by-step explanation:

1cm: 2100000cm

2.5cm: x cm

you get 52.5 km

Answer:

Hence the five point summary is:

i) Minimum = 12

ii) Maximum = 47

iii) Median = 26

iv) First quartile = 15

v) Third quartile = 32

Step-by-step explanation:

The five point summary of a box and whisker plot is the minimum, maximum, median, first quartile and third quartile.

Given the number 12, 13, 14, 15, 21, 24, 25, 26, 27, 29, 32, 32, 38, 41, 47.

The median is the middle number = 26

The first quartile is the median of the numbers to the left of the median. Hence the first quartile is the median of 12, 13, 14, 15, 21, 24, 25

First quartile = 15

The third quartile is the median of the numbers to the right of the median. Hence the third quartile is the median of 27, 29, 32, 32, 38, 41, 47.

Third quartile = 32

The minimum is the lowest number = 12

The maximum is the largest number = 47

The box and whisker plot is attached

Hence the five point summary is:

i) Minimum = 12

ii) Maximum = 47

iii) Median = 26

iv) First quartile = 15

v) Third quartile = 32

Answer:

0

Step-by-step explanation:

the || makes whatever number is inside it abslute so -3 becomes 3 instead

Answer:

[tex]f(-5)=0[/tex]

Step-by-step explanation:

[tex]f(x)=3-|7+2x|\\f(-5)=3-|7+2(-5)|\\f(-5)=3-|7+(-10)|\\f(-5)=3-|-3|\\f(-5)=3-3\\f(-5)=0[/tex]

Answer:

10x+3y+2

Step-by-step explanation:

Answer:

yes its equal :)

Step-by-step explanation:

3/5= 0.6

Answer:

[tex]\huge\boxed{\sf Equal \ to}[/tex]

Step-by-step explanation:

=> 3/5 = 0.6

So,

=> 0.6 = 0.6

We'll use "equal to" sign.

Hope this helped!

Answer:

No

Step-by-step explanation:

Answer:

the quotient has a remainder of 4

Step-by-step explanation:

The computation of the long division is shown below:

                       1 3   1     9                    

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

            26           34298

                            26

               -------------------------------------(deduct)

                             82

                             78

                --------------------------------------(deduct)

                            49

                            26

                 ------------------------------(deduct)

                            238

                             234

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

                               4

hence, the first option is correct

Answer:

Here you go:)

Step-by-step explanation:

7.38

Answer:

[tex]Area = \frac{3}{4} cm^2[/tex]

Step-by-step explanation:

Given

[tex]Length =\frac{1}{2}\ cm[/tex]

[tex]Width = 1\frac{1}{2}\ cm[/tex]

Required

Determine the Area

Area is calculated as follows

[tex]Area = Length * Width[/tex]

Substitute values for Length and Width

[tex]Area = \frac{1}{2} * 1\frac{1}{2}[/tex]

Convert mixed fraction

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

[tex]Area = \frac{3}{4}[/tex]

Hence, the area is

[tex]Area = \frac{3}{4} cm^2[/tex]

Answer:

Ryan is correct.

Step-by-step explanation:

Laura says that the distance between (4, -2) and (4, -7) in the coordinate plane is  equal to 1-2-(-7) units.

Here, x-coordinates are same, so the distance between these points is the difference between y-coordinates.

Distance between (4, -2) and (4, -7) = -2-(-7)

                                                           = -2+7

                                                           = 5 units.

So, Laura is incorrect.

Ryan says that the distance between the points (2, 3) and (-9,3) in the coordinate  plane is equal to 2 + 9 units.

Here, y-coordinates are same, so the distance between these points is the difference between x-coordinates.

Distance between (2, 3) and (-9,3) = 2-(-9)

                                                         = 2+9

                                                          = 11 units.

Therefore, Ryan is correct.

Answer:

B) 5x4

one its not A nor its C

its either B or D but i would go with B because D doesn't make sense all because D is saying x4^5 but its 5x^4

Answer:

[tex]x^{\frac{4}{5} }[/tex]

Step-by-step explanation:

Using the rule of radicals/ exponents

[tex]\sqrt[n]{x^{m} }[/tex] ⇔ [tex]x^{\frac{m}{n} }[/tex] , thus

[tex]\sqrt[5]{x^{4} }[/tex] = [tex]x^{\frac{4}{5} }[/tex]

Answer:

48 to 32  8 to 4 4 to 2 24 to 16

Step-by-step explanation:

Answer:

Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did and more. The process of theory change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.

The discovery of new evidence because it's the only one that would give proof and science relies on proof.

Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did.

The process of theories change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.

The discovery of new evidence because it's the only one that would give proof and science relies on proof.

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Answer:

When x = -3.

4(-3)-5y=12.

-12-5y=12.

-5y=12+12.

-5y=24.

y= -4.8

Answer:

66 feet

Step-by-step explanation:

5 1/2 times 12

Answer:C

Step-by-step explanation:

the line above AB signifies that its a line segment

there are points for A and B

Answer: $90

Step-by-step explanation: Take 45 and add 65, then subtract 20.

Answer:

[tex]y = 6[/tex]

[tex]RS = 38[/tex]

[tex]ST = 39[/tex]

[tex]RT = 77[/tex]

Step-by-step explanation:

Given:

[tex]RS = 6y +2[/tex]

[tex]ST=5y + 9[/tex]

[tex]RT= 13y - 1[/tex]

Solving (a): The value of y

From the given parameters, we understand that

[tex]RT = RS + ST[/tex]

Substitute values for RS, ST and RT

[tex]13y - 1 = 6y + 2 + 5y + 9[/tex]

Collect Like Terms

[tex]13y - 6y - 5y = 1 + 2 + 9[/tex]

[tex]2y = 12[/tex]

Divide both sides by 2

[tex]y = \frac{12}{2}[/tex]

[tex]y = 6[/tex]

Solving (b):

The value of RS

Substitute 6 for y in [tex]RS = 6y +2[/tex]

[tex]RS = 6 * 6 + 2[/tex]

[tex]RS = 36 + 2[/tex]

[tex]RS = 38[/tex]

The value of ST

Substitute 6 for y in [tex]ST=5y + 9[/tex]

[tex]ST = 5 * 6 + 9[/tex]

[tex]ST = 30 + 9[/tex]

[tex]ST = 39[/tex]

The value of ST

Substitute 6 for y in [tex]RT= 13y - 1[/tex]

[tex]RT = 13 * 6 - 1[/tex]

[tex]RT = 78 - 1[/tex]

[tex]RT = 77[/tex]

Answer:

Guy who answered first is wrong it’s 5 not 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;

AO+OB = AB

(-OA)+OB = AB

-50+104 = AB

AB = 54

If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5

AP = 54/6

AP = 9

PB = 54-9

PB = 45

Hence the point P is located at 9 units from A and 45 units from B

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

Explanation:

The perimeter around the circle is known as the circumference

The full circumference of a circle with radius r is

C = 2*pi*r

In this case, r = 16 is the radius, so,

C = 2*pi*r

C = 2*pi*16

C = 2*16*pi

C = 32pi

is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get

(1/4)*32pi = (1/4*32)pi = 8pi

The arc length is exactly 8pi feet long

Approximately this is about 25.13274 feet

The length of the arc is exactly 8π feet long.

To find the length of the arc.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.The perimeter around the circle is known as the circumference.

Given that:

Ф=90°

r=16 feet

The perimeter around the circle is known as the circumference.

The circumference of a circle with radius r is

C = 2*π*r

C = 2*π*16

C = 2*16*π

C = 32π

But we only want 90°/360° = 1/4 of that total distance. So multiply 1/4 to 32π to get.

=(1/4)*32π

= (1/4*32)π

= 8π

Therefore, the length of the arc is exactly 8π feet long.

Learn more about circle here:

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Answer:

perimeter=8x+30

Step-by-step explanation:

(3x+15)+(3x+15)+(x)+(x)

^each side is represented within the parentheses

then, rearrange the terms so they are organized by like terms

3x+3x+x+x+15+15

8x+30

Answer:

Step-by-step explanation:

Speed is the change in distance of a body with respect to time.

Speed = Distance/tIme

Given parameters

Distance = 8miles

TIME = 20minutes

Convert minutes to hour

since 60minutes = 1hr

20 min = x

cross multiply

20 = 60x

x = 20/60

x = 1/3

Hence 20mins = 1/3 hr

Speed = 8miles/(1/3)hr

speed = 8 miles * 3/1 hr

speed = 24 miles/hr

Hence the object's speed in miles per hour is 24miles/hour

The object's speed in miles per hour is 24 miles per hour.

Distance = 8 miles

Time = 20 minutes = 20/60 = 1/3 hour

The speed of an object is calculated as:

= Distance / Time

= 8 ÷ 1/3

= 8 × 3

= 24

In conclusion, the object's speed in miles per hour is 24 miles per hour.

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Answer: p = -2

Step-by-step explanation:

- 0.75p - 2 =0.25p​                           add .75p on both sides

-2 = p                                                  That's the same thing at p = -2

Answer:

p = -2

Step-by-step explanation:

-0.75p - 2 = 0.25p Subtract 0.25p from both sides

-1p - 2 = 0 Add 2 to both sides

-1p = 2 Divide by -1 on both sides

p = -2

Answer:

114, and 115

Step-by-step explanation:

114+115 = 229

Answer:

114 and 115

Step-by-step explanation:

Let's say the pages are p

so

Left page = p

Right page = p+1

p(p+1) = 229

2p+ 1 = 229 we want to know what p is so isolate the variable:

      -1       -1

2p=228 Divide:

p=114

The pages are 114 and 115

Check: 114+115 = 229

Hope this helps :)

Step-by-step explanation:

(a3/2)3

(a3)3/(2)3

a9/8

Hope it is helpful for you

Answer:

The answer is C

Answer:

c is the answer

Step-by-step explanation:

the answer is c

Answer:

1m = 100cm, 100cm = 1m

1.

b) 425cm = 4.25m

d) 140cm = 1.4m

e) 780cm = 7.8m

a) 245cm = 2.45m

c) 535cm = 5.35m

f) 340cm = 3.4m

g) 2,565cm = 25.65m

h) 5,010cm = 50.10m

2.

a) 8m = 800cm

b) 13m = 1,300cm

c) 24m = 2,400cm

d) 207m = 207,000cm

e) 21m = 21,000cm

f) 100m = 100,000cm

g) 105m = 105,000cm

h) 1m = 100cm

Answer:

•Centimeters to Meters

a) 2.45 m

b) 4.25 m

c) 5.35 m

d) 1.4 m

e) 7.8 m

f) 3.4 m

g) 25.65 m

h) 50.1 m

•Meters to Centimeters

a) 800 cm

b) 1,300 cm

c) 2,400 cm

d) 20,700 cm

e) 2,100 cm

f) 10,000 cm

g) 10,500 cm

h) 100 cm

Step-by-step explanation:

When you go to convert centimeters into meters, you divide the number of centimeters by 100. Once divided, that number is how many meters it is. Ex. There are 652 cm and you need to find out how many meters there are. Divide 652 by 100 (652/100) and that equals 6.52 m

When you go to convert meters into centimeters, multiple the number of meters by 100. Ex. There’s 4 m of rope and you want to know the length in centimeters. Multiply 4 by 100 (4x100) and you should get 400 cm.

Answer:

11. 9. 4.

Step-by-step explanation:

Since BD bisects ABC, angle ABD = angle CBD.

(13x - 56) = (7x + 10)

6x = 66

x = 11.

Again for the next question BD bisects ABC.

(x + 15) = (4x - 12)

3x = 27

x = 9.

For the last question,

(9x + 9) = (12x - 3)

3x = 12

x = 4.

Answer:

addition

Step-by-step explanation:

altogether means to put things together or to combine.

addition is taking two or more things and combining them.

Answer:

The keyword "altogether" refers to addition.

Step-by-step explanation:

altogether = the sum of something