pls help me! 15 points

Given:

Point D is the centroid of Triangle ABC and DE = 9.

To find:

The measures of CD and CE.

Solution:

We know that, centroid is the intersection of medians and it divides each median in 2:1.

In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,

Let the measures of CD and DE are 2x and x respectively.

DE = 9                (Given)

[tex]x=9[/tex]

Now,

[tex]CD=2x[/tex]

[tex]CD=2(9)[/tex]

[tex]CD=18[/tex]

And,

[tex]CE=CD+DE[/tex]

[tex]CE=18+9[/tex]

[tex]CE=27[/tex]

Therefore, the measure of CD is 18 units and the measure of CE is 27 units.

The measure of CD and CE are 18 and 27 respectively

From the given diagram, the following are true:

Given that DE = 9

CD = 2(9)

CD = 18

Similarly;

CE = CD + DE

CE = 18 + 9

CE = 27

Hence the measure of CD and CE are 18 and 27 respectively

Learn more on centroid here: https://brainly.com/question/25845737

The counterexample shows that Heng's definition does not fully define a reflection is Heny fully defined a reflection. Option D

Consider the counterexample in which point M is above line r and the line itself is a vertical line.

Assume M is located at (0, 2) and that line r is the x = 1 line. Heng's definition states that point M', which has a midpoint L that is on line r, should reflect point M across line r.

However, point M' at (-1, 2) would be the reflection of point M across line r, which does not meet the requirement that the midpoint L lies on line r. Therefore, in this counterexample, Heng's definition does not adequately characterize a reflection.

Learn more about reflection at: https://brainly.com/question/1908648

#SPJ1

Answer:

x,0

Step-by-step explanation:

x-intercept just means where the line crosses the x axis. the x-intercept is x,0

Answer:

X intercept is ( -1 , 2)

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

The axis of symmetry is the line that separates a parabola directly in half. It is measure on x axis because it is being split in terms of that number. Next, you identify the origin and find exactly where the parabola is in half and that is your answer. Another way to do this would be to identify the vertex of the parabola. The answer is the x coordinate of the location of the vertex. (The highest point of a parabola.)

Answer:

4x+3(2)-7

Step-by-step explanation:

Answer:

$3,240

Step-by-step explanation:

The computation of the money that have to be paid by the shopkeeper to the manufacture is shown below:

Given that

the sale price of television is $2,700

And, the profit is of 20%

So, the price paid is

= $2,700 + $2,700 × 20%

= $2,700 + $540

= $3,240

Answer:

13.7ft^2

Step-by-step explanation:

Area for triangle:

The formula for the area of a triangle in this scenario is area=(b*h)/2

The base length is 3.6ft and the height is 4.8ft. We can now substitute these values into the equation. So:

area=(3.6*4.8)/2

area=8.64ft^2 for the triangle

Area for semi-circle:

The formula for the area of a circle is area=pi*r^2. To find the area of the semi-circle, we can half the area of the circle at the end.

The question says to use 3.14 for the value of pi.

The diameter is given as 3.6ft, so to find the radius, we simply divide the diameter by 2; so 3.6/2=1.8ft for the radius

Now, we can just substitute these values into the equation above. So:

area=3.14*(1.8)^2

area=3.14*3.24

area=10.1736ft^2 (DO NOT ROUND THIS ANSWER!!).

However, this area is for the COMPLETE circle. We want the area for the semicircle shown above. Therefore, divide the circle area by 2. So:

10.1736/2=5.0868ft^2 for the semicircle.

Total area of shape

Now we have the area of the two separate shapes, we can simply add them together. So:

8.64ft^2 + 5.0868ft^2 = 13.7268ft^2 altogether (unrounded)

Now, finally we must round to 1/10, or to 1 decimal place. Therefore, the final value for the area would be 13.7ft^2.

Hope this helped!!

Answer:

55 (approx.)

Step-by-step explanation:

30% of 186 students joined the band

(30/100) × 186

5580/100

55.8

= 55 students (approx.)

(the answer will come approximate as final is in decimal)

Answer:

The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x . = tan 5π 4

plz give brainliest

Step-by-step explanation:

A)

45 degrees, and it is congruent.

90/2 = 45

Since it is an Alternate Interior, it is congruent.

B)

45 degrees. It is also congruent since it is an Alternate Exterior.

C)

135 degrees. It is a linear angle/linear pair.

180-45=135

I actually worked really hard for this so please consider that. I couldn't find help anywhere.

Answer:

[tex]10cm^2[/tex]

Step-by-step explanation:

We are given that

Two parallel sides of trapezoid are

[tex]a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm[/tex]

[tex]b=3\frac{1}{2}=3+0.5=3.5 cm[/tex]

Height of trapezoid, h=4 cm

We have to find the area of the trapezoid.

We know that

Area of trapezoid=[tex]\frac{1}{2}(a+b)h[/tex]

Where a and b are two parallel sides

h=Height of trapezoid

Using the formula

Area of trapezoid=[tex]\frac{1}{2}(1.5+3.5)\times 2[/tex]

Area of trapezoid=[tex]10cm^2[/tex]

9/16

7 of the squares are 4 so we just substract that from the total of 16 and we get 9

Answer:

Option C

Step-by-step explanation:

The y values are 2.5 times the x value. Only graph 3 shows the correct numbers.

Hope it helps!

Answer:

P = 4(2x + 5)

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

Step-by-step explanation:

Given that:

Perimeter of square = 4 * s

Where s = side length

If perimeter, P = 8x + 20

Then,

4s = 8x + 20

Divide both sides by 4

4s / 4 = (8x + 20) / 4

s = 2x + 5

P = 4s

P = 4(2x + 5)

Or

P = 2x + 5 in 4 places

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

Answer:

40 questions were on the test.

Step-by-step explanation:

40%=0.4

0.4x=16

x=16/0.4

x=40

Answer:

Step-by-step explanation:

-4 and 3

Answer:

aa

Step-by-step explanation:

aa

Answer:

x=0

Step-by-step explanation:

You must isolate the variable to solve for it, so subtracting 14 from the left is the first thing to do. This can be supported by using PEMDAS, whereas we are doing the inverse here to solve for something in the equation. This gives us 2x=0. Next, we have to divide by 2, which gives us x=0.

Answer: x= 30

Step-by-step explanation:

These are corresponding angles which means they are equal. (2x+25) = (3x-5). Subtract 2x from both sides. 25 = x-5. Add 5 to both sides. 30 = x

Answer:

5 + i

Step-by-step explanation:

Answer:

5+i is the answer

Step-by-step explanation:

cause 6-4=2-7=5+i

9514 1404 393

Answer:

  4.3 in

Step-by-step explanation:

The Law of Cosines is applicable when you have two sides and the angle between them. The third side satisfies ...

  f² = d² + e² -2de·cos(F)

  f² = 6.4² + 7.8² -2·6.4·7.8·cos(33°) ≈ 18.0671

  f ≈ √18.0671 ≈ 4.2505

The length of f is about 4.3 inches.

Answer:

I would believe the diameter would be B, if not A

Step-by-step explanation:

Answer:

the answer for this problem should be 120,536

Answer:

4n+2=15

Step-by-step explanation:

If you count 4 n's and then add 2, the bar is the same length as the 15 bar. ~logic~

Answer: LN 40

Step-by-step explanation: Because thin of the answers and how to do it

Answer: LN 40

Step-by-step explanation: