Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC

Determine Whether The Two Triangles Can Be Proven Congruent Using The AAS Congruence Method. If They

Answers

Answer 1

Answer:

A) ΔABC ≅ ΔEDC

Step-by-step explanation:

To prove triangles congruent with the AAS method, you need two angles and the non-included side of one triangle to be congruent to the corresponding parts of another triangle.

Let's see what we have in these two triangles.

Side AB is congruent to side ED. This is one pair of sides.

Angle A is congruent to angle E. This is one pair of sides.

Now we need a second pair of angles, that will make the two sides not-included in the angles.

By the congruence of vertical angles, we see that angles ACB and ECD are congruent. This is another pair of congruent angles.

We have two angles and a non-included side of one triangle congruent to two angles and a non-included side of another triangle. The triangles are congruent by AAS.

Answer: A) ΔABC ≅ ΔEDC


Related Questions

Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph of y equals 4 x plus 5y=4x+5. Write the equation in​ slope-intercept form, if possible.

Answers

Answer:

The equation for the new line in slope-intercept form is:  

[tex]y=4x+2[/tex]

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

[tex]y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0[/tex]

which for our case is:

[tex]y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2[/tex]

What are the ratio as a fraction for 4:6

Answers

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

or 4 over 6

i think this is right and i hope it helps:D

Scott found the area of the shape to
be 30 square units. If he used a unit
square with longer sides, would his
area measurement be greater than
30 square units or less than 30 square
units? Explain.​

Answers

Answer:

So if we do this to the area of Scott's shape, the result will be less than 30 squares units.

Step-by-step explanation:

If a shape has "x" square units, it means that we can fit that number of squares with side length of one unit in that given shape. For the case where we change the unit, we are changing the length of the square's sides, if the new one has greater sides, then it means that the square is bigger, therefore for the same shape we will be able to fit less squares. So if we do this to the area of Scott's shape, the result will be less than 30 squares units.

Which of the following statements best describes adjacent angles?
Adjacent angles are vertical.
O Adjacent angles are supplementary.
Adjacent angles share interior points.
Adjacent angles share a side.

Answers

Answer:

  (d)  Adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a side and a vertex, but do not share any interior points. The appropriate choice is ...

  Adjacent angles share a side.

Answer: D:  Adjacent angles share a side

Step-by-step explanation: Hope that helped

) Which expression represents the change in the
ship's location?
15
14-
2.4
13-+
12-1
11-
•) What is 2-4?
10-+
9
2-4=
8
8-
7
6
•) Which expression represents the change in the
ship's location?
5
4
3 +
2+(-4)
2 +4
2-(-4)
2.4

Answers

Answer:

5

Step-by-step explanation:

5677777273882828282929929282828828828×4=5

answer:

2*4

explanation:

2*4=8.000000000000000000000000

Mrs. Dombrowsky bought 27 books for the
class. What was the cost for one book if she
spent a total of $67.50?

Answers

Answer:

$2.50

Step-by-step explanation:

67.50/27 = 2.50

Answer:

$2.50

67.50/27 = 2.50

Step-by-step explanation:

Find the volume of the composite solid. Round your answer to the nearest tenth

Answers

Answer:

V = 1206.3 [tex]ft^{3}[/tex]

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = [tex]\pi[/tex][tex]r^{2}[/tex] x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = [tex]\pi[/tex] x [tex]8^{2}[/tex] x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = [tex]\frac{\pi r^{2}h }{3}[/tex]. This is the area of the circular part of the cone ([tex]\pi r^{2}[/tex]), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = [tex]\frac{\pi 8^{2} 6 }{3}[/tex] (On the top it's [tex]\pi[/tex] x [tex]8^{2}[/tex] x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 [tex]ft^{3}[/tex]

what is -7/8- (-5/6) in simplest form

Answers

Answer:

-1 /24

Step-by-step explanation:

-7/8 - (-5/6)

Subtracting a negative is like adding

-7/8 + 5/6

Get a common denominator

-7/8 * 6/6    + 5/6 *8/8

-42/48 + 40/46

-2/48

-1/24

Find the surface area and volume of a rectangular prism with the following dimensions: Length = 9 cm, Width = 5 cm, Height = 6 cm

Answers

Answer:Area=258cm square

Step-by-step explanation:

Length:9 cm

Width:5 cm

Height:6 cm

=A=2[wl+hl+hw]=2.[5.9+6.9+6.5]=258 cm square

(ASAP) Work out the equation of the line passing through (2,-3) and parallel to the line y=3x+4

Answers

Answer:

y = 3x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (2, - 3) into the partial equation

- 3 = 6 + c ⇒ c = - 3 - 6 = - 9

y = 3x - 9 ← equation of parallel line

Help me ASAP i always give brainliests, and thanks i need u!
Please answer the following not complicated question on finding x

Answers

Answer:

4. [tex]11.333...[/tex]

Answer:

Answer is  (4) -11.333

Step-by-step explanation:

multiply : 2x /12-4/3= 4x /15 -1/5

bring variable on one side :

2x/12 -4x/15= 4/3 - 1/5

common denominator : -6x/60=17/15

simplify : -x/10= 17/15

x= - 170/15= -11.3333

30 points!!!

Find the value of x. sin 62°=7x

Answers

Answer:

Step-by-step explanation:

x = 0.12613537

does anyone know this?

Answers

Answer:

16x

Step-by-step explanation:

What goes in the box is

4x * 4

16x

For each line, determine weather the slope is positive, negative, zero, or undefined.

Answers

Answer:

Below in bold.

Step-by-step explanation:

A horizontal line has zero slope and a vertical line undefined

In order they are: Zero, undefined, negative positive

Answer: The first one is zero, the second one is undefined, the third one is negative, and the fourth one is positive.

Step-by-step explanation:

could someone help me answer this question?

Answers

Answer:

The answer is A I'm pretty sure

Answer is A.

Hope this helps.

Analyze the graphed function to find the local minimum and the local maximum for the given function. Which statements about the local maximums and minimums for the given function are true? Choose three options. Over the interval [1, 3], the local minimum is 0 Over the interval [2, 4], the local minimum is –8. Over the interval [3, 5], the local minimum is –8. Over the interval [1, 4], the local maximum is 0. Over the interval [3, 5], the local maximum is 0.

Answers

Answer:

Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.

Step-by-step explanation:

Answer:

B,C,D

Step-by-step explanation:

Can someone please tell me what the slope of the line in this graph is!!!!!!

Answers

Answer:

-1/3 I think

Step-by-step explanation:

I find the slope by finding 2 points where the line hits. I then just count up and across. Could be wrong :/

Hope this helps though :)

Answer:

slope = y2-y1

x2- x1

= 4-2 = 2

6-0. 6

= 1/3

PLEASE HELP ME OUT PLEASE PLEASE IT WOULD BE HELPFUL THANK YOU

Answers

Answer:

D

Step-by-step explanation:

Starts with 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

and so on

Write the slope-intercept form of the equation. 2y+5x=–1

Answers

Answer:

y=-5/2x-1/2

Step-by-step explanation:

HOPE THIS HELPS:)

STAY SAFE:)

PLZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Hakeem wants to be a professional basketball player. He is currently a junior and is taking physics. Mrs. Martin, his teacher, tells him that she can predict exactly when his three-point shot will return to the ground before Hakeem even takes the shot. Mrs. Martin tells Hakeem that the path of his ball can be modeled by the equation below, where t is the time in seconds after he throws the ball, and h is the height of the ball in feet. If Hakeem makes a three-point shot, how long will it take for his ball to return to the ground? (Round the time to the nearest second.)






A. The basketball will return to the ground 19 seconds after being shot.
B. The basketball will return to the ground 2 seconds after being shot.
C. The basketball will return to the ground -1 seconds after being shot.
D. The basketball will return to the ground 1 seconds after being shot.

Answers

Answer:

Answer is B

Step-by-step explanation:

C) -1 seconds is back into the past by 1 second, which makes it wrong

A) 19 seconds for a ball to be in the air? That's too long

D) 1 Second isn't enough for the ball to either go through the hoop or do anything unless he just let it go from the height of the hoop.

Which statement best describes how to determine where f(x)=x^2-x+8 is an even function

Answers

Answer:ogros reconocer a negra denda como el me de una sumatoria que permite calcular ... Como vimos, entre más subdivisiones del intervalo tomemos, mejor será la ... que la aproximan y luego determinar a qué valor tiende el área cuando n ... n k=1 1 ( kYo 1 - — lí X +- o = + (Vé ejemplo 8. a-na-n X () 3 (véase e eje plo 8.)

Step-by-step explanation:

I don’t need you to explain just answer.

Answers

Answer:

[tex]\frac{2(3)+6^2}{6} =42/6=7[/tex]

Answer:

7

Step-by-step explanation:

plug in the values of the variables and use order of operations.

2·3+6^2/6

2·3+36/6

6+36/6

42/6

7

PLEASE HELP THIS IS URGENT I AM BEING TIMED!!

Four children have the following weights: 45.5 pounds, 61 pounds, 37.2 pounds, and 16.34 pounds. What is the average weight of the children?

Answers

Answer:

40.01 lb

Step-by-step explanation:

mean:

(45.5+61+37.2+16.34)/4

160.04/4

40.01

Answer:

40.01

Step-by-step explanation:

First add all of the weights together and it should give you 160.04 divide that by 4 children and there is your answer

A carnival ride is in the shape of a wheel with the radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive full credit.

Answers

Answer:

α = 12°

L = 6.28 ft

[tex]A = 94.25 ft^2[/tex]

Step-by-step explanation:

The wheel contains 30 cars attached to it.

The wheel is in the shape of a circle and a circle has 360°.

Therefore, the angle between any two cars will be:

360 / 30 = 12°

The length of the arc between two cars is given as:

[tex]L = \frac{\alpha }{360} * 2\pi R[/tex]

where α = central angle of sector

R = radius of circle

Given that the radius of the wheel is 30 feet, the length of the arc is:

[tex]L = \frac{12}{360} * 2 * \pi * 30\\\\L = 6.28 ft[/tex]

The area of a sector is given by:

[tex]A = \frac{\alpha }{360} * \pi R^2[/tex]

Therefore, the area of the sector between any two cars is:

[tex]A = \frac{12}{360} * \pi * 30^2\\\\A = 94.25 ft^2[/tex]

Consider the function.
f(x) = 2 1/2 - 3 1/3x
What is the x-intercept of f-1(x)?
(-3 1/3,0)
(-3/10,0)
(3/4,0)
( 2 1/2, 0)

Answers

Answer: (2 1/2, 0) (the last option)

Step-by-step explanation:

I guess the function is:

f(x) = (2  1/2) - (3  1/2)*x

now, the rule for f-1(x) that we know is:

f-1( f(x) ) = x.

So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)

f-1(f(0)) = 0.

And we have that f(0) = (2  1/2) - (3  1/3)*x = 2  1/2

This means that the x-intercept of f-1(x) will be when x= 2  1/2, so the intercept is:

(2 1/2, 0)

Answer: the answer is D

Step-by-step explanation:

big fat smelly ballsack

Simplify (5 + 1)2 – (12 +34) = 3.

A. 5
B. -39
C. -63
D. 29​

Answers

Answer:

Not possible

Step-by-step explanation:

if you simplify it becomes

-34 = 3

with no variables, its undifined

Answer:

The answer is False

-34 = 3

Step-by-step explanation:

[tex](5 + 1)2 - (12 +34) = 3.\\(6)2 - (46) = 3\\12-46 = 3\\- 34 = 3\\False \\[/tex]

Find the indicated values g(t)=t^2-t and f(x)=1+x g(f(2)+3)

Answers

Answer:

g( f(2)+3) = 30

Step-by-step explanation:

step(i):-

Given function  g(t)=t²-t and f(x)=1+x

given f(x)=1+x

         f(2) = 1 + 2 =3

step(ii):-

g( f(2)+3) = g(3 + 3)

              = g(6)

             = (6)² - 6

             = 36 -6

             = 30

Conclusion:-

g( f(2)+3) = 30

The table shows the function representing the height in the area of the base of a rectangular prism for different values of X the volume of the prism when X = 3 is 36 which equation can be used to represent the volume of the prism, v(x)?

Answers

Answer:

A

can i have brainliest lol

Step-by-step explanation:

when x = 3, the volume is 36.

4 times 9 = 36, so you multiply f(x) by g(x) to get 36

30 POINTS!!!!!Which of the following expressions has a value that is less than - 1/2 ? Select all that apply.

A + B
0 - E
B + D
E - F
C - A

Answers

Answer:

2, and 4 and 5 are possible solutions.

Step-by-step explanation:

It's not confirmed that 4 and 5 are, but they could be. 2 is a definite, unless E=.002 or something like that.

help me, please.........

Answers

Answer:

de for the second

Step-by-step explanation:

Answer:

Step-by-step explanation:

an  altitude   -  a ( forms with a line an angle of 90 degrees)

a perpendicular bisector-  c ( divide the line in 2 equal parts and it is perpendicular on  the line)

an angle bisector  - d ( divide the angle in 2 equal parts)

a median - b ( a segment between an angle and the middlepoint of the opposite line)

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