Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true? A line has points A, D, B, K, C. AD = One-thirdAC AC = 4DB AB + DC = AC BK = KC

Answer:

92

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. x/10=12/15

x*15=10*12

x=10*12/15

x=2*5*3*4/5*3=8

x=8

2. x/9=8/6

x*6=9*8

x=9*8/6

x=3*3*8/3*2=24/2

x=12

Answer:

A.)

Step-by-step explanation:

If you plug in the x and y values into the equation, you will see that -6=-6

y=3x-6

-6=3(0)-6

-6=-6

Therefore, A.) is the correct answer

Answer:

[tex]b[/tex] ≈ [tex]12.0[/tex]

Step-by-step explanation:

Using the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse.

[tex]12^2+b^2=17^2\\144+b^2=289\\[/tex]

Subtract 144 from both sides

[tex]b^2=145\\[/tex]

Square root both sides

[tex]b=\sqrt{145}[/tex]

[tex]b[/tex] ≈ [tex]12.0[/tex]

Answer:

Step-by-step explanation:

[tex]12^{2} + b^{2} = 17^{2} \\144 + b^{2} = 289\\b^{2} =289-144\\b^{2} =145\\b=\sqrt{145} \\b = 12.04\\b = 12[/tex]

Hope it helps tell me if its right

Answer:

Number of sides = 18

Step-by-step explanation:

Using the formula given below for this

=> [tex](n-2)*180 = measure of interior angles[/tex]

=> (n-2)*180 = 2880

Dividing both sides by 180

=> n-2 = 16

Now, Adding 2 to both sides, we get

=> n = 18

Answer:

20

Step-by-step explanation:

Answer:

oki

Step-by-step explanation:

what do you need help with? :)

Answer:

D 6 seconds

Step-by-step explanation:

Hope this helps!!! Please amrk as Brainlyest

Answer:

i believe it is c

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal

(a)

[tex]\frac{xPR}{XZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values

[tex]\frac{6.5}{XZ}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )

7.2XZ = 117 ( divide both sides by 7.2 )

XZ = 16.25 cm

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

(b)

[tex]\frac{QR}{YZ}[/tex] = [tex]\frac{PQ}{XY}[/tex] , substitute values

[tex]\frac{QR}{17}[/tex] = [tex]\frac{7.2}{18}[/tex] ( cross- multiply )

18QR = 122.4 ( divide both sides by 18 )

QR = 6.8 cm

Answer:

The lines that make this up are y = 5, x = 4 and y = x so the answer is y ≤ 5, x ≥ 4 and y ≥ x.

Answer:

A

Step-by-step explanation:

Because the mouse goes through 8 segments, this becomes a series of 8

Answer:

50%

Step-by-step explanation:

Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.

Lest's pretend the original size was 100 in. 100/2x3=150

So in this case we enlarged it by 50 in. which is 50% of 100.

So, the enlargement as a percentage is 50%

Answer:

50% more

3-2=1

1/2=0.5

0.5=50%

You can also double check by adding half of two and checking if it is 3

2 x 0.5 = 1

2 + 1 = 3

50% increase

Hope this helps

Step-by-step explanation:

Answer:

A. - 3.

B. - 1.

C. - 5.

D. - 4.

E. - 2.

Step-by-step explanation:

A. Definition refers to a statement that exactly defines the object, thing or everything.

B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.

C. Common notion is the statement that helps to understand the common sense about the subject.

D. Theorem is a statement that shows proof on the basis of previously making statements.

E. Corollary is a statement that act as a small proof that has already been proven.

Hence, the correct matches are:

A. - 3.

B. - 1.

C. - 5.

D. - 4.

E. - 2.

Answer:

B

Step-by-step explanation:

Answer: B) 1/9, 3, 27

Step-by-step explanation:

Here, we need to evaluate [tex]3^x[/tex] for [tex]x = -2, x = 1, \text{ and } x = 3.[/tex]

So, we substitute values of x in the given function.

At x= -2, we have

[tex]3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}][/tex]

At x= 1, we have

[tex]3^1=3[/tex]

At x= 3

[tex]3^3=3\times3\times3=27[/tex]

So, the values of  [tex]3^x[/tex] for  

Thus, the correct answer is B) 1/9, 3, 27

Answer:

Step-by-step explanation:

Answer: B) 1/9, 3, 27

Answer:

1

Step-by-step explanation:

Answer:

1/3=0.33333333333...

Nearest thousandths would be:

Answer

0.333

Step-by-step explanation:

you would divide 1 by 3

Answer:

The discount is $3.75.

Step-by-step explanation:

You can cross-multiply and divide: the original price can be multiplied by the percent off and then divide it by 100.

12.5×30=375

375÷100=3.75 which is the amount of the discount.

Answer:

f(x) has the greater absolute maximum

Step-by-step explanation:

[tex]f(x)=-x^2-4x+3 \\\\f'(x)=-2x-4=-2(x+2)[/tex]

so f'(x)=0 for x = -2 and f(-2)=-4+8+3=11-4=7

so f(x) has the greater absolute maximum

hope this helps

Answer:

x = 22°

Step-by-step explanation:

Given corner URV = x and because of symmetry of Z-corners, that corner by definition is the same as corner DVR.

So corner SVR = V = x

R = 44°

S = 5x + 4°

V = x

In any triangle the three corners add up to 180°

Combine all this info and you get:

44 + 5x + 4 + x = 180

Solve for x (means write as x =...)

5x + x = 180 - 4 - 44

6x = 132

x = 132/6

x = 22°

Answer and Step-by-step explanation:

Answer:

The coordinates of C are (5 , 2)

The slope of CD is 3

The coordinates of D are (6 , 5) and (4 , -1)

Step-by-step explanation:

* Now lets study the problem

- The ends points of line AB are A = 2 , 3) and B = (8 , 1)

- CD is the perpendicular bisector of AB, and C lies on AB

- That means:

# C is the mid-point of AB

# The slope of AB × the slope of CD = -1 (one of them is a multiplicative

 inverse and additive inverse of the other)

-Ex: the slope of one is a/b, then the slope of the other is -b/a

* The mid-point between two points (x1 , y1) and (x2 , y2) is:

 [(x1 + x2)/2 , (y1 + y2)/2]

∵ C is the mid-point of AB

∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)

* The coordinates of C are (5 , 2)

- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:

the slope = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3

∵ CD ⊥ AB

∴ The slope of CD × the slope of AB = -1

∴ The slope of CD = 3

* The slope of CD is 3

- The length of a line passing through points (x1 , y1) and (x2 , y2) is:

the length = √[(x2 - x1)² + (y2 - y1)²]

∵ The length of CD = √10

∵ Point D is (x , y)

∴ (x - 5)² + (y - 2)² = (√10)²

∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)

∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply

∴ (y - 2) = 3(x - 5) ⇒ (2)

- Substitute (2) in (1)

∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify

* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²

∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms

∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides

∴ (x - 5)² = 1 ⇒ take √ for both sides

∴ x - 5 = ± 1

∴ x - 5 = 1 ⇒ add 5 to both sides

∴ x = 6

* OR

∴ x - 5 = -1 ⇒ add 5 to both sides

∴ x = 4

- Substitute the values of x in (2)

∴ y - 2 = 3(6 - 5)

∴ y - 2 = 3 ⇒ add 2

∴ y = 5

* OR

∴ y - 2 = 3(4 - 5)

∴ y - 2 = -3 ⇒ add 2

∴ y = -1

* The coordinates of D are (6 , 5) and (4 , -1)

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x - 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

Parallel lines have equal slopes, thus parallel line has slope of [tex]\frac{1}{5}[/tex]

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = [tex]\frac{1}{5}[/tex] x + 6 ← equation of parallel line → A

the equation of the line that passes through the point (0,6) and is parallel to the line with the equation y = 1/5X - 5 is y = 1/5x +6.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given A line passes through the point (0,6) and is parallel to the line with the equation y = 1/5X - 5

Since the two lines are parallel to each other

thus, their slope would be equal

Slope intercept form of the Second line:

y = 1/5x + c

Given that line passes through (0, 6)

From above equation

6 = 1/5* 0 +c

Hence, c = 6

therefore, the equation of the line y = 1/5x +6.

Learn more about Linear equation here:

https://brainly.com/question/11897796

#SPJ2

Answer: {(-8, -14), (-7,-12), (-6,-10), (-5,-8)}

Step-by-step explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relations show here, notice that the first set

of ordered pairs is the only set where each x-coordinate

appears once with a different y-coordinate.

In the other ordered pairs, there is an x-coordinate that appears more

than once and it corresponds to a different y-coordinate.

For example, in the second relation,

the x-coordinate -9 appears twice.

In one case, -9 corresponds to -12 and

in the other case, it corresponds to -8.

So, this is not a function.

[tex]answer \\ \frac{2}{3} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

a=567 km+900 km

a=1,467 km

b=567 km+169 km

b=736 km

x^2/a^2+y^2/b^2=1

x^2/(1,467)^2+y^2/(736)^2=1

Step-by-step explanation:

Answer:

x^2 / 736^2  +  y^2 / 1467^2  =  1

Answer:

1.80

Step-by-step explanation:

Answer:

$1.47 per pound

Step-by-step explanation:

The 22 pound bag of dog food costs $32.36. We want to find the cost per pound, or the unit rate for the 22 pound bag.

Therefore, we must divide the cost by the number of pounds.

cost/pounds

cost= $32.36

pounds= 22 lbs

$32.36/22 lbs

Divide 32.36 by 22

$1.4709090....

Round to the nearest cent, or hundredth. The 0 in the thousandths place indicates we should leave the 7 in the hundredth place.

$1.47

The 22 pound bag of dog good costs $1.47 per pound.

Answer:

Step-by-step explanation:

So if y=308x then we have to use the substitution method.

y=308x

y=122x+2338

so y=308x=122x+2338

308x-122x=186x

186x=2338

do the division and thats your answer. which is what y equals