What additional information is needed to show that ABC = DEF by SSS?

What Additional Information Is Needed To Show That ABC = DEF By SSS?

Answers

Answer 1

Answer:

D.) AC ≈ DF

Step-by-step explanation:

The SSS (Side-Side-Side) congruence postulate states that 2 triangles will be congruent assuming that all 3 of their sides are congruent.

In this case, we know that:

AB ≈ DECB ≈ FE

So, that's two pairs of congruent sides. We need one more pair of congruent sides to prove SSS congruence. The last two remaining are sides CA and FD!

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Related Questions

Type the correct answer in the box. Use numerals instead of words.

Find the sum of a finite geometric series.

At the beginning of every year, Molly deposits $200 in a savings account that offers an interest rate of 20%, compounded annually. The total

amount that Molly will have in her account at the end of 3 years is $

Answers

Answer:

$345.60

Step-by-step explanation:

From the above question,

P = Principal = $200

R = Interest rate = 20%

T = Time in years = 3 years

n = Number of times interest is compounded = Annually = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 20/100

r = 0.2 rate per year,

Then solve the equation for A

The formula =

A = P(1 + r/n)^nt

A = 200.00(1 + 0.2/1)^(1×3)

A = 200.00(1 + 0.2)^(3)

A = $345.60

Therefore, the total amount that Molly will have in her account at the end of 3 years is $345.60

2500 in standard form

Answers

2500 in standard form is 2.5 × 10³

Answer:

2.5*10^3

Step-by-step explanation:

find the formula for the nth term of the arithmetic sequence a1=15,d=9​

Answers

The answer to this is a n = a1 + d(n - 1)

A bag contains 37 coins consisting of only dimes and quarters. To
total amount of money in the bag is $6.85. Which system of
equations
can be used to determine the number of quarters, 9,
and the number of dimes, d , in the bag?

Answers

Answer:

Step-by-step explanation

Mr. Garner purchased a party hall and wants to repaint it as part of the renovations. He needs to calculate the lateral surface area of the party hall so that he will know how much paint to buy. The party hall is in the shape of a rectangular prism with the dimensions shown below.




Including the doors, what is the lateral surface area of the party hall in square feet?



1,904 ft2


1,860 ft2


3,764 ft2


14,280 ft2

Answers

Answer:

The lateral surface area is: 1860 square feet

Step-by-step explanation:

Given

The missing dimension are:

See attachment for storage

[tex]L = 20[/tex] --- Length

[tex]W = 42[/tex] --- Width

[tex]H = 15[/tex] --- Height

Required

The lateral surface area

The lateral area is calculated as:

[tex]Area = 2 * H * (L + W)[/tex]

So, we have:

[tex]Area = 2 * 15 * (20 + 42)[/tex]

[tex]Area = 30 * (20 + 42)[/tex]

[tex]Area = 30 * 62[/tex]

[tex]Area = 1860[/tex]

The fourth term of an exponential sequence is 108 and the ratio is 3 . Calculate the value of the eighth term of the sequence, calculate the sum of the first five terms of the sequence.

Answers

Answer:

8th term = 8748 , Sum of 5 terms = 484

Step-by-step explanation:

Formula for nth term in an exponential sequence = a r^ (n-1)

Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108

So,  a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108

a 3^3 = 108 →  27 a = 108 → a = 108 / 27 → a = 4

8th term = a r^ (n-1) , at  n = 8.  So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748

Sum of n terms = a [(r^n) -1 ] / [r - 1] → Sum 5 terms = 4 [ (3^5)- 1] / [3 - 1]

= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484

The amplitude of a periodic function is 8.5 and its minimum value is 0. What is the functions
maximum value?

Answers

Answer:

maximum value is 17.

Step-by-step explanation:

8.5=1/2(x-0)

8.5=1/2x

8.5=x/2

8.5×2=x

17=x

x=17

please help asap!!!!!

Answers

NO
let me explain
y=x+1
y= -x + 5

x + 1 = -x +5

GET RID OF X

1 = 5

1 and 5 do not equal each other and there is no x left either so you can’t solve it.

Answer:

No

Step-by-step explanation:

if both equations begin with 'y=' then we can set the expressions equal to each other:

-x+1 = -x+5

1 ≠ 5 ∴ there are no solution to this system of equations

hii please help i’ll give brainliest

Answers

Answer:

1. 8

2. 25

3. 3

Step-by-step explanation:

$1,800 is what percent of $6,000?

Answers

Answer:

30%

Step-by-step explanation:

1,800/6,000 = 0.30 -> 30%

Answer:

30%

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

April has 5 milligrams of zinc and 0.25 milligrams of copper. How much more zinc does she have than copper?​

Answers

Answer:

the answer is 4.75

Step-by-step explanation:

5-0.25=4.75

Pls hurry!!
Find the area of the triangle

Answers

Answer:

A = 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Number of offspring and weight, in pounds, of 23 randomly selected rabbits are compared. Which significance test should be used to see if number of offspring and weight have a linear relationship? Assume all test conditions are met. (4 points)

Answers

Answer:

t test for the slope of regression line

Step-by-step explanation:

Suppose a random sample is drawn from the bivariate normal population and the estimated regression equation is found Y^= a +bX , where, b , the sample estimate of β1 is normally distributed with mean β and standard deviation

σyx / √∑(x-x`)².

The test statistic has  t distribution where

t= b-β/sb

where sb=  Syx / √∑(x-x`)² with υ= n-2 degrees of freedom.

It is important to note that the testing of hypothesis that β= 0 is equivalent to testing the hypothesis that variable Y is independent of the variable X in the linear sense.

The test statistic then becomes  t= b/ sb .

If we reject H0 : β= 0 we conclude that the two variables are linearly independent.

I need help simplifying this

Answers

Answer:

n^2

Step-by-step explanation:

cancel the common factor between n^7 and n^2

2 items divided EQUALLY by 5?? HELP

Answers

The number 5 divided by 2 is 2 with a remainder of 1 (5 / 2 = 2 R. 1). This is also written as 5 /2 = 2.5. I hope this can help you get your answer sorry if it’s not good

What number is 0.01 more than 253.498?

Answers

Answer:

1/64

Step-by-step explanation:

Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.

In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078,  less than 0.100 but not the first number.

The correct value for n is 9 that will give us 2-4=1/16

253.508 is 0.01 more than 253.498.

What is Number system?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

Let the number be x

so,

x=253.498+0.01

x= 253.508

Learn more about concept here:

brainly.com/question/14491091

#SPJ2

Please help! It's Algebra.

Answers

Answer:

Square: x= +or - [tex]\sqrt{7}[/tex], Triangle: x= + or - [tex]\sqrt{23}[/tex]

Step-by-step explanation:

For the square

4[tex]x^{2}[/tex]=28

dvide by four:

[tex]x^{2}[/tex]=7

Take the square root of both sides

x= +or - [tex]\sqrt{7}[/tex]

For the Triangle

(1/2) (2x) (2x)=46

2[tex]x^{2}[/tex]=46

Divide by 2

[tex]x^{2}[/tex]=23

x= + or - [tex]\sqrt{23}[/tex]

In ΔGHI, the measure of ∠I=90°, HI = 5.6 feet, and IG = 2.8 feet. Find the measure of ∠G to the nearest tenth of a degree.

Answers

Answer: I would say it would be 70

Step-by-step explanation:

Hey guys I need help asap

Answers

Download photo math. It lets you takes pics of the equation so they can solve it for you.

Math question!!!!!!!!!!!!!

Answers

Answer:

the correct answer for that would be identity property

Answer:

first one

Step-by-step explanation:

PLEASE HELP!
Y=5x-9
-2x-3y=-7
Please show
work!
substition for math

Answers

Answer:

ill edit this and Post the answer in a few m0ments .....

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

K. since you thought it was so funny to do it to me

Each side of a square is 62/3 m long. Find its Area

Answers

Answer:

=> (62/3)m

Step-by-step explanation:

=> (62/3)²

=> (62)²/(3)²

=> 3844/9 m²

Answer:

427.11111

Step-by-step explanation:

This is the answer

Please can someone help me on this ASAP pls.

Answers

Answer:

Whats the question? I dont see a file or anything?

Step-by-step explanation:

2x + 5y = 10

i need the slope and y-intercept

Answers

Y intercept is found by having the x value equal 0 (and vise versus for x intercept) so 5y=10 or simplified y=2
Then you have to find the x intercept (2x=10 and or x=5) then it’s just run over rise (2/5)

Answer:

Slope: [tex]-\frac{2}{5}[/tex]

Y-intercept: 2

Step-by-step explanation:

We have to isolate y;

2x + 5y = 10

5y = -2x + 10

y = [tex]\frac{-2x + 10}{5}[/tex]

y = [tex]-\frac{2}{5} x + 2[/tex]

Hope this helps!

A jewelry designer sells bead necklaces in a local farmer's market. The profit P that she makes from selling x necklaces is given by P = −x2 + 35x. What is the least number of her necklaces she must sell to make a profit of $300.00?

Answers

Answer:

15

Step-by-step explanation:

Given that the profit equation from selling x necklaces is

P = −x2 + 35x.

To make a profit of $300, the profit P = 300 then

300 = -x2 + 35x

x2 - 35x + 300 = 0

solve by factorization

x2 - 15x - 20x + 300 = 0

x(x - 15) - 20(x - 15) = 0

(x - 15)(x - 20) = 0

x - 15 = 0  or x - 20 = 0

x = 15 or 20

Since 20 is higher, the least number of her necklaces she must sell to make a profit of $300.00 is 15

sin∅ (csc∅ -sin∅ ) simplify

Answers

Answer:

1+sin²Θ

Step-by-step explanation:

sin[tex]\alpha[/tex](cosec[tex]\alpha[/tex]-sin[tex]\alpha[/tex])

=sin[tex]\alpha[/tex]( [tex]\frac{1}{sin \alpha }+sin\alpha[/tex])

[tex]=sin\alpha (\frac{1+sin^{2} \alpha }{sin\alpha } )\\1+sin^{2} \alpha[/tex]

What is the answer to this?-

Answers

Answer:

yes, by SAS

Step-by-step explanation:

cause the GI and JL are congruent and the same for HG and LK

what number goes into the missing space

Answers

Answer:

12

Step-by-step explanation:

mrk me brainliest plzzzzzzzzzz

Answer:

b) 12

Step-by-step explanation:

The first image shows the top 2 numbers as 5 and 2 = 5 * 2

=> 10

The Second image shows the top 2 numbers as 3 and 3 = 3 * 3

=> 9

So, the third image shows the top 2 numbers as 2 and 6 = 2 * 6

=>12

Therefore, the missing space in the third circle is b) 12

Hope it helps :)

L= 1/2 (4+12) 1/2 (3a)

Answers

Answer:

[tex]a \ = \frac{l}{12} [/tex]

please help me! multiple choice

Answers

Answer:

(3,4)and r=2 is is the center and radius of the circle.

stay safe healthy and happy.

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