Given that
AB - BC
3, complete the statements to
DE EF
show that AABC - ADEF by the SAS similarity
theorem.
Horizontal and vertical lines are
So, angles
are right angles by definition of
perpendicular
lines.
All right angles are
Therefore, AABC - ADEF by the SAS similarity
theorem.

Given ThatAB - BC3, Complete The Statements ToDE EFshow That AABC - ADEF By The SAS Similaritytheorem.Horizontal

Answers

Answer 1

Answer:

Horizontal and vertical lines are perpendicular. So angles B&E .All right angles are 90°.

i hope you're helped

Answer 2

Horizontal and vertical lines are perpendicular. So, angles B and E are right angle by definition of perpendicular lines. All right angles are 90°/congruent/equal.

What are Similar Triangles?

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

Given are two triangles ABC and DEF.

Two triangles are similar if all the corresponding angles are equal and the corresponding sides are proportional.

Here, given that,

AB / DE = BC / EF = 1 / 2.

So, two corresponding sides are proportional.

SAS similarity postulate is that, if two corresponding sides of two triangles are proportional and the corresponding included angle is congruent, then the two triangles are similar.

So we have to prove included angle B and E are equal.

A horizontal and vertical lines are always perpendicular.

Here B and E are formed by a horizontal and a vertical line.

So they are right angles.

All right angles are 90°. So they are equal or congruent.

So Triangles ABC and DEF are similar by SAS.

Learn more about Similar Triangles here :

https://brainly.com/question/23951634

#SPJ7


Related Questions

6. Find the areas of the rectangles with the following side lengths.
C.
a. 5 in and 1/3 in

Answers

9514 1404 393

Answer:

  5/3 in²

Step-by-step explanation:

The area of a rectangle is the product of length and width.

  A = LW

  A = (5 in)(1/3 in) = 5/3 in² = 1 2/3 square inches

Suppose you have a bag of marbles that contains 8 blue marbles and 2 yellow marbles. If you select two marbles from the bag, one after the other without replacing the first, what is:

Answers

Answer:

6 is the answer.

6 is the answer lllh fr un uu

Francisco wrote these notes on one of the scientists who contributed to cell theory:


1838

Studied plants

Used a microscope

Concluded that plants are made of cells


Who are these notes about?


Virchow

Schleiden

Leeuwenhoek

Schwann

Answers

In 1838 Scientist, Schleiden concluded that all plants are made up of cells

Answer:

Schleiden in 1838 said plants are made cells

Step-b

I’m so confused what is answer to the value of x HELPPP

Answers

Answer:

x=5/2 or 2.5

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Answer:

2.5 or 5/2

Step-by-step explanation:

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the two lines, and not by the lines themselves.

that also means that they are equal.

and so,

8x + 15 = 4x + 25

4x = 10

x = 10/4 = 5/2 = 2.5

Samuel reads 19 pages per hour. In all, how many hours of reading how many hours of reading will Samue l have to do this week in order to have read a total of 38 pages?

Answers

Answer:

Just 2 hours

Step-by-step explanation:

Since it takes 1 hour for 19, 19+19 is 38, so it takes 2 hours

Evaluate the variable expression x + y for the given values of x and y. x = 38,221; y = 51,671

Answers

Answer:

89,892

Step-by-step explanation:

[tex]x+y[/tex]

[tex](38,221)+(51,671)[/tex]

[tex]89,892[/tex]

Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).

In slope intercept form

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

y -  [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~

m = - [tex]\frac{1}{2}[/tex]

( - 10, 1 )

y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]

y - 1 =  - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)

y = - [tex]\frac{1}{2}[/tex] x - 4

Evaluate the expression when x=25 and y = – 4.
VX y
S!
y
у
y
(Type an integer or a simplified fraction.)

(SOMEONE PLEASE ANSWER TIMED TEST)

Answers

Answer:

answer is xy

Step-by-step explanation:

✓x-y=xy

y x=xy

solve for x,
7x+14÷3 - 17-3x ÷5=6x - 4x+2÷3-5​

Answers

Answer: x = 4

Step-by-step explanation:

Given equation

7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5

Combine like terms on both sides

(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5

4x + 14/3 - 17 = 2x + 2/3 - 5

Subtract 2/3 on both sides

4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3

4x + 12/3 - 17 = 2x - 5

4x + 4 - 17 = 2x - 5

4x - 13 = 2x - 5

Add 13 on both sides

4x - 13 + 13 = 2x - 5 + 13

4x = 2x + 8

Subtract 2x on both sides

4x - 2x = 2x + 8 - 2x

2x = 8

Divide 2 on both sides

2x / 2 = 8 / 2

[tex]\boxed{x=4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

what is the slope of the line

Answers

Answer:

i think zero but i suck at slope

Step-by-step explanation:

pew pew

HELP ME !!!
Point M is the midpoint of AB. AM = 3x +3, and AB = 82
What is the length of AM?
Enter your answer in the box.

units

Answers

Answer:

if m is the midpoint of AB

then,AM will be equal to MB

Therefore,

[tex]3x + 3 + 3x + 3 = 82 \\ 6x + 6 = 82 \\ 6x = 82 - 6 \\ 6x = 76 \\ x = \frac{76}{6} = \frac{38}{3} \\ \\ |am| = 3x + 3 \\ \: \: \: = 3( \frac{38}{3} ) + 3 \\ = 38 + 3 \\ = 41[/tex]

Find the slope of the straight line that passes through the following pair of points. (-4,1) and (2,6) ​

Answers

Answer:

5/6

Step-by-step explanation:

(6-1)/(2- -4) --> 5/6

Answer: Slope = 5/6

Concept:

Here, we need to know the idea of a slope.

A slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = (y₂ - y₁) / (x₂ - x₁)

Solve:

Given information

(x₁, y₁) = (-4, 1)

(x₂, y₂) = (2, 6)

Given equation

Slope = (y₂ - y₁) / (x₂ - x₁)

Substitute values into the equation

Slope = (6 - 1) / (2 - (-4))

Simplify values in parentheses

REMEMBER to change signs whenever a [+, -] meets [-] sign

Slope = 5 / (2 + 4)

Slope = 5/6

Hope this helps!! :)

Please let me know if you have any questions

What is 888 x - 666?

Answers

What is 888 x - 666? = -591408

[tex]Hello[/tex] [tex]There![/tex]

Ummmmm... I could be wrong?

I think it is...

-591408

Hopefully, this helps you!!

[tex]AnimeVines[/tex]

PLASEEEEEEEEEEEE HLEPPPPPPPPPPPPP

Answers

Answer:

1. the smiley face, the top right corner.

2. top left corner again

3. rotation i think...

4.  e looks like the answer not sure.

Step-by-step explanation:

ez... maybe

Answer:

1st page-1

2nd page-b on the second line

3rd-b

4th-a

5th-c

Step-by-step explanation:

Evaluate (y - 9) + (3 + x), when y = 15 and x = 5

Answers

Hi ;-)

[tex]y=15 \ and \ x=5\\\\(y-9)+(3+x)=(15-9)+(3+5)=6+8=\boxed{14}[/tex]

Answer:

14

Step-by-step explanation:

(y-9)+(3+x)

(15-9)+(3+5)

6+8

14

The sum of the first 20 terms of an arithmetic is 50, and the sum of the next 20 terms is -50. Find the is first term and command difference of the sequence?

Answers

Answer:

[tex]a_1=\frac{39}{8}; \ d=-\frac{1}{4}.[/tex]

Step-by-step explanation:

1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;

2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;

for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.

3) if to solve the system of two equations, then:

[tex]\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.[/tex]

4) finally: the first term is '39/8', the difference is '-1/4'.

Sets question with option answers. Help please

Answers

Answer:

best bet is 6

Step-by-step explanation:

pls say hard very hard​

Answers

Answer:

6

Step-by-step explanation:

The Volume is 4×6×9, which is 216

∛216

The cube root is 6.

I hope this helps!

pls ❤ and mark brainliest pls!

Suppose Sofia is considering a 5-year loan for $6,000 at an interest rate of 7%. Use the table to complete the statements. Type the correct answer in each box. Round your answer to the nearest cent. Monthly Payment per $1,000 of Principal Rate 1 Year 2 Years 3 Years 4 Years 5 Years 6.5% $86.30 $44.55 $30.65 $23.71 $19.57 7.0% $86.53 $44.77 $30.88 $23.95 $19.80 7.5% $86.76 $45.00 $31.11 $24.18 $20.04 8.0% $86.99 $45.23 $31.34 $24.41 $20.28 8.5% $87.22 $45.46 $24.65 $24.65 $20.52 9.096 $87.45 $45.68 $31.80 $24.89 $20.76 Sofia's monthly payment would be $118.80 The total number of monthly payments that Sofia would make over the life of the loan is 60 finance charge on her loan would be $1,128.00​

Answers

a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.

b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.

c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.

How is monthly payment calculated?

The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.

Data and Calculations:

Loan amount = $6,000

Maturity period = 5 years

Interest rate = 7%

N (# of periods) = 60 months (5 years x 12)

Results:  

Monthly Payment = $118.81 ($34.02 + $84.79)

Mortgage Payment = $7,128.60 ($118.81 x 60)

Total of 60 Mortgage Payments $7,128.60

Total Interest = $1,128.60 ($7,128.60 - $6,000)

Monthly Amortization Schedule (for the first 3 months)

 Date Beginning Balance   Interest    Principal        Ending

                                                         Repayment    Balance

1 3/2022       $6,000.00             $35.00     $83.81       $5,916.19

2 4/2022         $5,916.19               $34.51     $84.30      $5,831.90

3 5/2022        $5,831.90              $34.02     $84.79      $5,747.11

Learn more about calculating monthly payments at https://brainly.com/question/24576997

Answer:

The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.

So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.

A 5-year loan will have 60 monthly payments since 5 × 12 = 60.

Multiply the monthly payment by 60 months to get the total amount paid on the loan:

$118.80 × 60 = $7,128.

To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:

$7,128 − $6,000 = $1,128.

Step-by-step explanation:

Find the slope that is PARALLEL and PERPENDICULAR to the equation of the line y = -1/2x+6.

Answers

Step-by-step explanation:

the slope that is PARALLEL to the equation of the line y = -1/2x+6 is -1/2.

and the slope that is PERPENDICULAR to the equation of the line y = -1/2x+6 is :

-1 ÷ -½ = 2

Phương trình vi phân y'' - 2y' -3y =0 có nghiệm tổng quát là ?

Answers

Answer:

y = c1 e^-x + c2 e^(3x)

Step-by-step explanation:

Review linear DE's

(D-3)(D+1)y = 0

Can any one solve it.Please

Answers

It's false. Consider f(x) = 1/x. This function is both continuous and decreasing on [1, ∞), and has a limit of 0 as x approaches infinity. But the integral diverges.

One more big help you guys

Answers

Answer:

[tex]\frac{1}{5^{7} }[/tex]

The last one!
Hope this helps :)

Where does the graph of the line y = x − 2 intersect the x-axis

Answers

(0,2) is your answer

Explanation

Please let me know fast

Answers

Answer:

b) 0

Step-by-step explanation:

[tex]a(b-c)+b(c-a)+c(a-b)\\\\ab-ac+bc-ba+ca-cb\\\\0[/tex]

Choose the best description of the associative property of addition.
O A. The smaller of two addends is called an associated number.
OB. The way in which numbers are grouped to be added does not change the sum.
O c. If one of two numbers is 1 more than the second number, the numbers are called associated numbers.
OD. When zero is added to a number, the sum is that number.

Answers

Answer:

B. The way in which numbers are grouped to be added does not change the sum.

Elementary algebra 1/4 divided by 3 equals

Answers

Answer:

1/12

Step-by-step explanation:

multiply by three so 4x3 is 12 and that's 3 equal parts

Given that the equation of a straight line is 2y - 3x + 6 = 0,
(a) Express the equation of the straight line in the form of y = mx + c
(b) Write down the y-intercept (C) of the equation​

Answers

Step-by-step explanation:

Hi there!

Given;

The equation of straight line is 2y-3x+6 = 0.

a. Express in the form of y = mx + c.

2y-3x+6 = 0

2y = 3x-6

y = (3x-6)/2

y = (3/2)X - 3

Therefore, the required equation is : y = (3/2)x-3.

b.

The y-intercept of the equation is -3.

Hope it helps!

the four vertices of a parallelogram are (3,2) (6,3) (9,6) and (a,B) find a and b​

Answers

Answer:

(15,8)

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.
If we label the points A(3,2) B(6,3) C(9,6) and D(a,b)
To get from A to B we can move 3 right and 1 up
If the parallelogram was labelled anticlockwise then
to get from C the D we need to go 3 left and 1 down
This would make D the point (9 - 3, 6 - 1) = (6,5)

AB || DC because both have a slope of 1/3 [because (3 - 2)/(6 - 3) = (6 - 5)/(9 - 6)]
AD || BC because both have a slope of 1 [because (5 - 2)/(6 - 3) = (6 - 3)/(9 -6)]

You could make D (12,7) but then the corners would not be labelled in order which is the accepted method
In this case the slopes of AC and BD both be 2/3 [because (6 - 2)/(9 - 3) = (7 - 3)/(12 - 6) = 4/6]

There is one third of a cake shared equally between 5 children. How much of the cake does each child receive? Use the number line to help you.

Answers

Answer:

1/3÷5

=1/3×1/5

=1/15

each child receive 1/15 of cake

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