1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pshichka [43]
3 years ago
5

Point B ∈ AC . If points K, M, N, and P are the midpoints of respectively AB , AC , MC , and NC , identify and write a statement

about each pair of congruent segments.
Mathematics
2 answers:
matrenka [14]3 years ago
5 0

Answer:

AK and KB

AM and MC

MN and NC

NP and PC

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- B ∈ AC

∴ B is located between A and C

- K is the mid point of AB

∴ K divides AB into two equal parts AK and KB

∴ AK = KB

- M is the mid point of AC

∴ M divides AC into two equal parts AM and MC

∴ AM = MC

- N is the mid point of MC

∴ N divides MC into two equal parts MN and NC

∴ MN = NC

- P is the mid point of NC

∴ P divides NC into two equal parts NP and PC

∴ NP = PC

* The congruent segments are:

AK and KB

AM and MC

MN and NC

NP and PC

Ira Lisetskai [31]3 years ago
4 0

Answer:

AK ≅ KB

AM ≅ MC

MN ≅ NC

NP ≅ PC

Step-by-step explanation:

Given that point K is the midpoint of AB, then by definition of midpoint:

AK ≅ KB

Given that point M is the midpoint of AC, then by definition of midpoint:

AM ≅ MC

Given that point N is the midpoint of MC, then by definition of midpoint:

MN ≅ NC

Given that point P is the midpoint of NC, then by definition of midpoint:

NP ≅ PC

You might be interested in
How many times is the image reflected in a 6-sided snowflake?
muminat
A six sided snowflake is reflected about the orgin 4 times 
4 0
3 years ago
Steve works as a football referee for 10 hours a week, and as a bus driver for 30 hours per week.if both jobs pay $21 per hour,h
arsen [322]

Answer:

$840

Step-by-step explanation:

First, add 30 to 10.

Then, multiply your answer (40) by 21.

Finally, you get your final answer of $840.

6 0
3 years ago
Rod is saving Php2000 in a bank at the end of each month which gives an interest of 1% compounded monthly.How much is the saving
agasfer [191]

Answer:

Php2040.38

Step-by-step explanation:

Given

P = 2000 --- Principal

r = 1\% --- Rate

t = 2\ years --- Time

n = 12 --- monthly

Required

Determine the amount at the end of two years

This is calculated as:

A = P(1 + \frac{r}{n})^{nt}

So, we have:

A = 2000(1 + \frac{1\%}{12})^{12*2}

A = 2000(1 + \frac{1}{100*12})^{24}

A = 2000(1 + \frac{1}{1200})^{24}

A = 2000(\frac{1200+1}{1200})^{24}

A = 2000(\frac{1201}{1200})^{24}

A = 2000*1.02019

A = 2040.38

<em>Hence, the final amount is: Php2040.38</em>

7 0
3 years ago
Find the sum of the first 8 terms in the following geometric series.
padilas [110]

Answer: 43690

Step-by-step explanation:

5 0
3 years ago
The American Bankers Association reported that, in a sample of 120 consumer purchases in France, 48 were made with cash, compare
tatuchka [14]

Answer:

Step-by-step explanation:

Hello!

You have the information for two variables

X₁: Number of consumer purchases in France that were made with cash, in a sample of 120.

n₁= 120 consumer purchases

x₁= 48 cash purchases

p'₁= 48/120= 0.4

X₂: Number of consumer purchases in the US that were made with cash, in a sample of 55.

n₂= 55 consumer purchases

x₂= 24 cash purchases

p'₂= 24/55= 0.4364

You need to construct a 90% CI for the difference of proportions p₁-p₂

Using the central limit theorem you can approximate the distribution of both sample proportions p'₁ and p'₂ to normal, so the statistic to use to estimate the difference of proportions is an approximate standard normal:

[(p'₁-p'₂) ± Z_{1-\alpha /2} * \sqrt{\frac{p'_1(1-p'_1)}{n_1} +\frac{p'_2(1-p'_2)}{n_2} }]

Z_{0.95}= 1.648

[(0.4-0.4364)±1.648 * \sqrt{\frac{0.4(1-0.4)}{120} +\frac{0.4364(1-0.4364)}{55} }]

[-0.1689;0.0961]

The interval has a negative bond, it is ok, keep in mind that even tough proportions take values between 0 and 1, in this case, the confidence interval estimates the difference between the two proportions. It is valid for one of the bonds or the two bonds of the CI for the difference between population proportions to be negative.

I hope this helps!

8 0
3 years ago
Other questions:
  • Mann Middle School has 1,000 students, 40 teachers, and 5 administrators. If the school grows to 1,200 students and the ratios a
    12·1 answer
  • Juan's class is going to construct an outdoor garden. The garden will be in the shape of a square, Juan's teacher gave the class
    14·1 answer
  • The expression 7 is equal to which of the following
    9·1 answer
  • Using the illustration below, calculate the area of the circle.
    8·1 answer
  • The graph represents function 1, and the equation represents function 2:
    8·1 answer
  • Jim and Henry were searching in the freezer for ice cream. They found 1.243 pints of chocolate chip ice cream and 2.54 pints of
    5·2 answers
  • a bag has 30 tiles, numbered 1-30. write each ratio in simplest form perfect squares to non-perfect squares
    12·1 answer
  • The function C(x)=−15x+2304 represents the cost to produce x items. What is the least number of items that can be produced so th
    6·1 answer
  • 67,402,110 round it to the thousands
    15·1 answer
  • David is building a rectangular fence around his garden. The short side is 15 meters and the long side is double that amount. Wh
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!