There are two right angle triangles, triangle ABC and Triangle EDF. Measure of angle ACB and angle EFD are 90. Side AB is congruent to side ED, Side AC is congruent to side DF. What theorem can be used to show that ABC ≅ DEF?

Answers

Answer 1

Answer:

SAS theorem

Step-by-step explanation:

Given

Triangles ABC and DEF

[tex]AB = ED[/tex]

[tex]AC = DF[/tex]

[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex]

Required

Which theorem shows the similarity between both triangles

The following can be deduced from the given parameters.

[tex]AB = ED[/tex] ===> Equal Sides

[tex]AC = DF[/tex] ===> Equal Sides

[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex] ===> Equal Angle

This implies that two sides and 1 angle of both triangles are equal.

Hence, the theorem to use is the SAS theorem.


Related Questions


Use properties of operations to determine whether or not the expressions (x + 10) + x + 9 and 2(x + 7) + 5 are
equivalent

Answers

Answer:

The expressions are equivalent.

Step-by-step explanation:

We can simplify each expression and compare the results.

(x + 10) + x + 9 = x + 10 + x + 9 = 2x + 19

2(x + 7) + 5 = 2x + 14 + 5 = 2x + 19

2x + 19 = 2x + 19

Answer: The expressions are equivalent.

HELP FOR BRAINLIEST + 5 STAR RATING + THANKS
what exactly is standard deviation? and pls gimme an example

Answers

Answer:

The standard deviation is the average amount of variability in your data set. It tells you, on average, how far each score lies from the mean.

The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out.

Step-by-step explanation:

Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.

Answers

I think the answer is 0>y

Answer:

option 1 and 2

Step-by-step explanation:

edge 2021

Convert to equation: four times a number increased by 8 is 24 ​

Answers

Answer:

4*4

Step-by-step explanation:

since 4 times 4 is 16 then if you add 8 its 24

Please find what the value of x and y is!!!

Answers

Answer:

x = 3; y = 2

Step-by-step explanation:

You would just set each side equal to its opposite so for x, it'll be like:

4x+6=7x-3

and for y:

4y-3=3y+1

I attached my work below as well to help you.

Toms banks baleances at the end of the months 1,2,3 are 1600 ,1664,1730.56 what will toms balance be at the end of month 5

Answers

Answer:

Tom's balance at the end of month 5 = 1,871.77

Step-by-step explanation:

a = 1600

ar = 1664

ar² = 1730.56

common ratio, r = ar/a

= 1664/1600

= 1.04

r = 1.04

what will toms balance be at the end of month 5

Month 5 = ar⁴

= 1600 * 1.04⁴

= 1600 * 1.16985856

= 1,871.773696

Approximately 1,871.77

Tom's balance at the end of month 5 = 1,871.77

What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed

Answers

Answer:

9/2

Step-by-step explanation:

(3, -20) & (11, 16)

To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(16 - (-20)) / (11 - 3)

Simplify the parentheses.

= (36) / (8)

Simplify the fraction.

36/8

= 9/2

9/2 is the most simplified fraction. This is your slope.

Hope this helps!

0.734862.. irrational or rational

Answers

Answer:

Irrational

Step-by-step explanation:

banda ayudenme con este punto de una tarea es sobre la sustracción de números enteros
19 - ( - 12 )
- 6 - ( - 27 )
( -18 ) - 4
( - 82 ) - 9
18 - ( - 2 )
( - 12 ) - ( - 11 )

LA RESPUESTA YA LA SE LO Q NECESITO ES EL PROCEDIMIENTO!! gracias :3​

Answers

Answer:

Step-by-step explanation:

19-(-12)=19+12=31

-6-(-27)=-6+27=21

(-18)-4=-18-4=-22

(-82)-9=-82-9=-91

18-(-2)=18+2=20

(-12)-(-11)=-12+11=-1

The last one is the answer i think

Solve for y when f(x)=2x^4-5

Answers

if you are looking for the y intercept it is (0,-5) or -5

algebra 1 Solve number 10 !!!

Answers

Answer:

0.06x + 0.15y = 69.84

x = (69.84 - 0.15y) / 0.06

y = (69.84 - 0.06x) / 0.15

x + y = 852

((69.84 - 0.15y) / 0.06) + y = 852

y = ?

(I'm not trying to give you the answer but guide you how to do it)


The Stock Market Alexander is a stockbroker. He earns 14% commission each week. Last week,
he sold $4,500 worth of stocks. How much did he make last week in commission? If he averages
that same amount each week, how much did he make in commission in 2011?

Answers

I’m pretty sure it’s 33,390

A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth

Answers

Answer:

C≈51.84in

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C= πd= π·16.5≈51.83628in

evaluate the following expression 10x(-9+(-6))

Answers

Answer:

-150x

Step-by-step explanation:

Which property is illustrated by the following statement?
AJAR= AJAR
A
J
R
A. Transitive
OB. Associative
O C. Reflexive
D. Symmetric


Answers

Answer: Reflexive

Step-by-step explanation:

The property that illustrated by the following statement is D.  Symmetric

What is reflexive property of congruence?

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

The symmetric property of congruence says, for objects A and B,

 if A ≅ B, then B ≅ A.

The symmetric property of congruence makes the  statement true:

 if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA

Here properties:

 Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA

 Commutative , the operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)

 Transitive -- if A ≅ B and B ≅ C, then A ≅ C.

Learn more about the Symmetric

https://brainly.com/question/27710969

#SPJ7

1.1. Which statement explains why the two systems of equations below have the

same solution?

A

6x + 8y = -10

2x - 5y = 12

B

8x + 3y = 2

12x + 16y = -20

Answers

Answer:

B. The first equation in B is the sum of the equations in A, while the other is obtained

by multiplying the first equation in A by 2.

Step-by-step explanation:

If we add the first two equations that shown in A so

6x + 8y + 2x - 5y = -10 + 12

8x + 3y = 2

Now the first equation in A would be multiplied by 2

So

2(6x + 8y = -10)

12x + 16u = -20

Therefore the correct option is B.

please help i’m just trying to pass

Answers

Answer:

C- 2

Step-by-step explanation:

f(-2)=4x+10

= 4*(-2)+10

=-8+10

f(-2)=2

Find the solution of the system of equations.

6x+y=30

−2x−5y=18

Answers

Answer:

Step-by-step explanation:

6x + y = 30

-6x - 15y = 54

-14y = 84

y = -6

6x - 6 = 30

6x = 36

x = 6

(6, -6)

Simplify

(2a²b)(4ab)

Answers

Answer:

8a^3b^2

Step-by-step explanation:

Shaun climbed Mount Rushmore at a unit rate of
1,250 meters per minute. How long did it take him to
climb 75,000 meters?

Answers

Answer:

60

Step-by-step explanation:

75,000/1,250= 60 mins or an hour

A local hamburger shop sold a combined total of 376 hamburger and cheeseburgers on Sunday. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Answers

Answer:

82

Step-by-step explanation:

let X = the number of hamburgers sold

let Y = the number of cheeseburgers sold  a combined total of 328 were sold

so: X + Y = 328

cheeseburgers = 3 times the number of hamburgers sold  

so: Y = 3X

substitute 3X into the equation for Y

X + 3X = 328

4X = 328

divide both sides by 4 to get the variable X by itself

X = 82

so: 82 hamburgers were sold Friday

Answer:

There were 225 hamburgers sold on Sunday.

Step-by-step explanation:

2h - 74 = 376

h = hamburgers

2h - 74 + 74 = 376 + 74

2h = 450

2h/2 = 450/2

h = 225

Check.

hamburgers + cheeseburgers = total number of burgers

225 + (225 - 74)

225 + 151 = 376

Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm

Answers

LWH-LWH
=12*20*5-4*2*0.5
=1200-32
=1168 cubic cms

Answer:

1196

Step-by-step explanation:

trust me i checked the answer!

The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million​

Answers

Answer:

Answer:

Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x

Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)

Step-by-step explanation:

Question 1

Budget surplus in 2010 =

Budget surplus in 2011 =

Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010

Question 2

2011 yearly tax revenue, x = $450,000

Budget surplus in 2011 =

Budget surplus in 2011 ≅ $

Step-by-step explanation:

Richard and Teo have a combined age of 49. Richard is 13 years older than twice Teo's age. How old are Richard and Teo?

Answers

Answer:

13×2=26

Maybe i can help u a little

Answer:

teo is 18 and Richard is 31

Step-by-step explanation:

hope it helps you

please mark me as brainlist

The length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2

What is the width
What is the length

Answers

Answer:

Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.

So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.

Hope this helps:)

Damian’s computer repair shop earned $2,500 in income last week. Expenses were $2,750. What was Damian’s profit or loss for the week?

Answers

Answer:

2500-2750 = - 250

hence,he lost $250

Question 2 (1 point)
Use the vertical line test to determine whether the relation is a function.
{(3,0), (2,-1). (-1,4). (1,-2)
}

Answers

Answer:

The relation is a function.

By selling a watch for Rs 1275, Javed lost 15%. At what price should he sell to make a profit of 10%

Answers

Answer: Rs. 1,650

Step-by-step explanation:

First find the original price of the watch.

If the watch is sold at Rs. 1,275, there is a 15% loss.

Assume the watch is x.

(1 - 15%) * x = 1,275

0.85x = 1,275

x = 1,275 / 0.85

x = Rs. 1,500

Now add a 10% markup on the original:

= (1 + 10%) * 1,500

= 1.1 * 1,500

= Rs. 1,650

Find y when x = 2

y = 30 - 2x​

Answers

y = 30 - 2(2)
y= 30 - 4
y = 26

Omg please help it is due in 21 minutes please help me!!!!!

Answers

Answer:

Atleast 63

Step-by-step explanation:

Hope that helps!

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