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xeze [42]
3 years ago
8

In DEF, C is the centroid if DM=45 , find DC and CM DC= ? Units

Mathematics
1 answer:
IgorC [24]3 years ago
7 0

Answer:

DC=30

CM=15

Step-by-step explanation:

Given

Triangle DEF with C centroid

DM=45 (length of median)

centroid divides median in the ratio 2:1(larger side at vertex)

⇒

DC=\frac{2}{3} \times DM=\frac{2}{3} \times 45= 2\times 15=30

⇒DC=30

DC+ CM=DM

30+CM=45

⇒CM=15

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The graph of an arithmetic sequence is shown.
GalinKa [24]

Answer:

The fifth term is 7

Step-by-step explanation:

Looking at the graph

we have the ordered pairs

(1,5),(2,5.5),(3,6),(4,6.5),(5,7)

so

Let

a_1=5\\a_2=5.5\\a_3=6\\a_4=6.6\\a_5=7

The common difference in this arithmetic sequence is 0.5

The value of the fifth term is a_5

therefore

The fifth term is 7

7 0
3 years ago
Read 2 more answers
Determine whether each of the following pairs of angles have equal measures.
Hatshy [7]

The pairs of angles that  have equal measures are:

  • LJP
  • NJR
  • MJP
  • PJR

The pairs of angles that do not  have equal measures are:

  • MJK
  • PJR
  • KJR
  • MJP
  • KJL
  • LJM

<h3>What is an angle?</h3>

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

Both MJK and  PJR can be seen as (Unequal angles)

The angle MJK  is ( 90 degrees), then  angle PJR will be ( 48 + 46 )= 94 degrees

Both LJP and NJR  can be seen as ( Equal angles)

The measure of angle LJP = 48 + 46 + 48 = 142 degrees

The measure of angle NJR = 48 + 48 + 46 = 142 degrees

KJR & MJP = Unequal

The angle KJR will now be [ 360 - (46+48+48+46+90) ]

= 82 degrees

The  angle MJP  will be ( 94 degrees)

Both KJL & LJM  are Unequal, then

The angle KJL  will be  42 degrees, then angle LJM  will be ( 90 - 42 )

= 48 degrees

Read more about pairs of angles here:

brainly.com/question/17643033

#SPJ1

CHECK THE COMPLETE QUESTION BELOW:

Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair

of angles into the correct catagory to show which pairs have equal measures.

MO

N

46°

42°

48°

46°

R

ZMJK and LPUR

ZLJP and ZNJR

ZKJR and ZMJP

MJP and ZPJR

ZKIL and ZUM

Equal Measures

Unequal Measures

4 0
2 years ago
What is the value of the x?
AleksAgata [21]

Answer:

69

Step-by-step explanation:

3 0
3 years ago
Please help me!!!
nikitadnepr [17]

Answer:

B

Step-by-step explanation:

The answer is option B

When drawn option B looks like the image

it crosses at the points (-1,-3), (0,-2),(2,0)

rearranging the equations and drawing a table graph shows how to draw the lines

5 0
3 years ago
The function f(x) = x2 - 6x + 9 is shifted 5 units to the left to create g(x). What is g(x)?
creativ13 [48]

Answer:

g(x) = x^2 + 4x + 4

Step-by-step explanation:

In translation of functions, adding a constant to the domain values (x) of a function will move the graph to the left, while subtracting from the input of the function will move the graph to the right.

Given the function;

f(x) = x2 - 6x + 9

a shift 5 units to the left implies that we shall be adding the constant 5 to the x values of the function;

g(x) = f(x+5)

g(x) = (x+5)^2 - 6(x+5) + 9

g(x) = x^2 + 10x + 25 - 6x -30 + 9

g(x) = x^2 + 4x + 4

3 0
3 years ago
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