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
FinnZ [79.3K]
2 years ago
7

Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.

Mathematics
1 answer:
earnstyle [38]2 years ago
5 0

Answer:

D

Line segments are congruent due to the side-angle-side congruence postulate.

Step-by-step explanation:

DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:

AE = BE

Also DE ≅ DE (reflexive property of congruence)

Also ∠AED = ∠BED = 90° (perpendicular bisector)

We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD

You might be interested in
The information below is the number of daily emergency service calls made by the volunteer ambulance service of Walterboro, Sout
mafiozo [28]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: The number of emergency service calls made by the volunteer ambulance service of Walterboro, South Carolina for 50 days.

a)

In the first column, you have the possible number of emergency calls made, in the second column, you have the observed absolute frequency (fi) for each value of the variable.

To establish the probability distribution you have to calculate the relative frequency (hi) for each value of X.

The formula for the relative frequency is

hi= fi*n where i= 0, 1, 2, 3, 4

X₁= 0

f₁= 8

h₁= 8/50= 0.16

X₂= 1

f₂= 10

h₂= 0.20

X₃= 2

f₃= 22

h₃= 22/50= 0.44

X₄= 3

f₄= 9

h₄= 9/50= 0.18

X₅= 4

f₅= 1

h₅= 1/50= 0.02

(See attachment)

b)

The variable of interest is a cuantitative discrete variable, so this is an example of a driscrete distribution.

Discrete variables are numerical and take certain numbers within its range of definition, contrary to the continuous variables that can take any value within the range of definition of the variable.

Another example of a discrete variable is "the money", If the variable is "I have at most 10 dollars in my wallet", the range of definition goes from 0 dollars to 10 dollars.

c) To calculate the mean when the data is arranged in a frequency table you have to use the following formula:

X[bar]= ∑Xihi= (0*0.16)+(1*0.2)+(2*0.44)+(3*0.18)+(4*0.02)= 1.7

This means that they expect an average of 1.7 calls per day.

d) The formula for the standard deviation is:

S=\sqrt{\frac{1}{n-1}[sumX^2fi-\frac{(sumXfi)^2}{n} ] }

∑X²fi= (0²*8)+(1²*10)+(2²*22)+(3²*9)+(4²*1)=  195

∑Xfi= (0*8)+(1*10)+(2*22)+(3*9)+(4*1)= 85

S=\sqrt{\frac{1}{49}[195-\frac{(85)^2}{50} ] }= 1.015

I hope this helps!

3 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
KonstantinChe [14]

Step-by-step explanation:

RS = 8 × cos(61°) = 2.9 [1 dp] = 3cm

6 0
3 years ago
Please help don't give me the wrong answer or I will report I need help asap! o-o
alina1380 [7]

Answer:

the answer is D. 377/1134

Step-by-step explanation:

first you take 1134 times 5 and get 5670(joe bob and Billy together) then 337 times 5 gets you 1885 which is bobs number hope I helped:)

4 0
3 years ago
Which expression is equivalent to 16x +42y?
V125BC [204]

Find the Greatest Common Factor (GCF)

GCF = 2

Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2(16x/2 + 42y/2)

Simplify each term in parenthesis

<u>C. 2(8x + 21y) </u>

4 0
3 years ago
Give an example with an expression showing the associative property of multiplication
gizmo_the_mogwai [7]

Answer:

Use the associative property of multiplication to rewrite (5 x 4) x 3 In order to rewrite the expression, take the parenthesis off of the first two factors and put them around the last two factors. Answer: 5 x (4 x 3) Example: Use the associative property of multiplication to rewrite (6 x 2) x 7

7 0
3 years ago
Other questions:
  • When you divide a number by 1/2, the result is
    12·2 answers
  • After 3 weeks, a plant is 8 centimeters tall. After 4 weeks, it has grown to 10 centimeters. Of the plant grows following an ari
    5·1 answer
  • What is the value of 4x^2 + 5x . when x = 1
    15·2 answers
  • If nine times a certain number is subtracted from 7 the result is 52. Find the number.
    5·2 answers
  • The ratio of girls to boys in a chess club was 5:4. there were 32 boys. how many girls were their
    5·1 answer
  • Crystal is spinning the spinner at right and claims she has a good chance of having the spinner land on red at least once in thr
    9·1 answer
  • Type an equation for the
    14·1 answer
  • What is 2000000000000000000 rounded to the nearest 100000000000
    9·2 answers
  • The equation for y=-2x+5 that is paralell passes through (1,-4)?
    13·1 answer
  • How do you find perimeter?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!