Which of the following are correct steps in finding the centroid of triangle CDE? Check all that apply.

a. Construct an altitude through C.

b. Construct a median through E.

c. Construct a perpendicular bisector to side DE.

d. Construct a line perpendicular to side CE through D.

e. Bisect side CD.

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:

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:

92

Step-by-step explanation:

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:

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:

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:

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:

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:

A

Step-by-step explanation:

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

Answer:

2(3x+2)

Step-by-step explanation:

=> 6x+4

Taking 2 common

=> 2(3x+2)

Answer:

2(3x + 2)

Step-by-step explanation:

2(3x + 2) = 6x + 4

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

The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)

To calculate the probability between two z-scores is to calculate the area between the z-scores.

This is done using the following syntax:

normalcdf(lower bound, upper bound)

From the question, the lower and the upper z-scores are -0.18 and 1.99

So, the formula would be normalcdf(-0.18, 1.99)

Hence, the expression is (d)

Read more about normal distribution at:

https://brainly.com/question/25991460

Answer:

D 6 seconds

Step-by-step explanation:

Hope this helps!!! Please amrk as Brainlyest

Answer:

1/3=0.33333333333...

Nearest thousandths would be:

Answer

0.333

Step-by-step explanation:

you would divide 1 by 3

Answer:

I think D, or 2 1/5

Step-by-step explanation:

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

Answer:

i believe it is c

Step-by-step explanation:

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:

oki

Step-by-step explanation:

what do you need help with? :)

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: 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:

B 65 sq. units

Step-by-step explanation:

The area of a triangle is equal to base times height divided by 2

the base is 13 and the height 10

13 times 10 is 130. 130 divided by two is equal to 65

:

Step-by-step explanation:

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

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:

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:

B

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