Mathematics High School

Which pair of triangles is Alessandra referring to, and which criterion should she use for establishing congruence?

Which Pair Of Triangles Is Alessandra Referring To, And Which Criterion Should She Use For Establishing

Answers

Answer 1

Answer:

△ABCtriangle and △CDAtriangle, by side-angle-side

Step-by-step explanation:

Answer 2

The amount of money in the account after 18 years will be $449.5.  

What are congruent triangles?If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent. If the sides of two triangles are the same then the triangles must have the same angles and therefore must be congruent.

Given is a parallelogram as shown in the image.

In order to prove ABCD as a parallelogram, we can prove ΔABE and ΔCDE congruent to each other by Angle - Angle - Side congruent property as -

∠BAE = ∠DCE     {Alt. int. angles}

∠ABE = ∠CDE     {Alt. int. angles}

AB = CD    {Given}

Therefore, she can prove ABCD as a parallelogram by proving -

ΔABE ≅ ΔCDE using AAS criteria.

To solve more questions on congruent triangles, visit the link below -

https://brainly.com/question/22062407

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Related Questions

A plant measured x inches tall last week and 8 inches tall this week.

Select the expression that represents the number of inches the plant grew this week.
(a) x-8
(b) 8-x

Explain how you know.

Answers

Answer:

8-x

Step-by-step explanation:

just like you are 20m tall last month and then 30 m tall this week

you grew 10 m additional

1)
Which property explains why these two expressions are equal?
-5(x - 4) = -5x + 20
A)
Associative Property
B)
Commutative Property
C)
Distributive Property
D)
Multiplicative Identity Property

Answers

Answer:

c) distributive property

Answer:

C (Distributive Property)

Step-by-step explanation:

The distributive property shows that you can use the distributive law, which allows you to rearrange an equation to be simplified

THERE IS A PHOTO
Find the value of x. Round your answer to the nearest tenth.
X
72
4

Answers

Answer:

Divide the two

Step-by-step explanation:

A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse

Answers

C hope that helps have a good one and stay 28 - 6973

HELP PLSSSUAURUARGUWUEGWUWGS​

Answers

Answer:

mnq and pqs is the answer

Answer:

[tex]\angle{MNQ}\:and\:\angle{PQS}[/tex]

Can someone please help me with this!?!?!

Answers

They are congruent because of the angles, which means the congruency reason should be SAS.

*EXTRA PTS* answer #2 - #5

Answers

Answer:

2. 2N

3. -4N

4. 4N

5. 7N

Step-by-step explanation:

What number goes in the highlighted box?

Answers

-15+7=-8
Adding numbers with different signs makes it subtraction and the answer will have the sign of the bigger number

Matt is bringing 0.4 of a cake to school. What fraction of the cake is he bringing?

Answers

Answer:

2/5

Step-by-step explanation:

also=4/10

4/10

=2/5

Here, Matt is bringing 0.4 of cake.

For the denominator:

We are taking 1 for [.] decimal and take 0 for 4.

So, its fraction becomes 4/10=2/5 [if we divide both denominator and lobe by 2].

The black line is the graph of y=x. Which of these equations could represent the blue line?
A. y=2x
B.y= -x
C. y = 1/2x
D. 0.001x

Answers

I believe the answer you’re looking for a C step-by-step explosion : hope this helps :)

Justine's city took a telephone poll about a plan to build a new hotel downtown. 420 people took the poll. 126 of them were in favor of the new hotel. What percentage of the people polled were in favor of the hotel?

Answers

The answer is 23 because if you subtract 100-50 you get it

HELP ME W/ MY HW

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz

Answers

Answer:

7238.23

Step-by-step explanation:

452.16
fórmula: a= (3.14)(12x12)

Each side of a square office is 6 meters long. It will cost $41.00 per square meter to replace
the carpet in the office. What would be the total cost to replace the carpet?

Answers

Answer:

$1,476.00

Step-by-step explanation:

first find area by doing 6*6 which is 36^2 then do 36*41 to get 1476.00

Help!!! I will give the brainiest!

Answers

Answer:

A and C

Step-by-step explanation:

A is positioned at - 6 and C at 2, then distance is

| - 6 - 2 | = | - 8 | = 8

What is the slope of the line with equation y-3-- _(x-2)?
5
4
P213)
3
2
1
(4.2)
-543
HL
1
2
3
4
5
x
2
-3
4
15


Answers

Answer:

B) -1/2

Step-by-step explanation:

(2, 3) and (4, 2)

Slope:

m=(y2-y1)/(x2-x1)

m=(2-3)/(4-2)

m= (-1)/2

m= -1/2

The Slope of the given line is -1/2.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We take two points from the graph as (2, 3) and (4, 2).

Now, the slope of line is

= (3-2)/ (4-2)

= -1 / 2

= -0.5

Using Slope intercept form

y= mx+ b

y= -0.5x+ b

and, b = 4

so, the Equation of line is y= -0.5x+ 4.

Learn more about Slope here:

https://brainly.com/question/3605446

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May someone pls help with this?

Answers

Answer:

p = 308

Step-by-step explanation:

What’s the surface area of this prism

Answers

the surface area is acute

PWEASE HELP, PWEASE PWEASE PWEASE HELP

Answers

Answer:

Length of rectangle parking lot = 94 m

Width of rectangle pool = 85 m

Step-by-step explanation:

Given:

Perimeter of rectangle = 300 m

Width of rectangle parking lot = 56 m

Find:

Length of rectangle parking lot

Area of rectangle pool = 8,245 m²

Length of rectangle pool = 97 m

Find:

Width of rectangle pool.

Computation:

1. Perimeter of rectangle = 2[l+b]

2[56 + l] = 300

56 + l = 150

Length of rectangle parking lot = 94 m

2. Area of rectangle = L x B

97 x Width of rectangle pool = 8,245

Width of rectangle pool = 85 m

Answer:

The length of the rectangle parking lot is 94 meters.

Rectangle pool width = 85 m

Step-by-step explanation:

i hope it helpss

Henry was thinking of a number. Henry adds 9.2 to the number, then doubles the result to get
an answer of 12.5. Form an equation with x from the information.

Answers

Answer:

2(9.2+x)=12.5

Step-by-step explanation:

Henry is adding 9.2 to your number, x, and after he adds it, he doubles it. This will then allow him to get the answer 12.5

write a quadratic function in the given form whose graph satisfies the given condition.

has a vertex of (5, -2) & passes through the point (3, 6) in vertex form

pls help...important...dont steal

Answers

Answer:

f(x) = 2(x-5)²-2

Step-by-step explanation:

The equation of a parabola in vertex form is y=a(x-h)²+k where (h,k) is the vertex and "a" represents how stretched or compressed the parabola is and what direction it travels.

Given a vertex of (5,-2) the equation so far is y=a(x-5)²-2

Since we want the parabola to pass through the point (3,6) we must find a value of "a" that satisfies this:

y=a(x-5)²-2

6=a(3-5)²-2

6=a(-2)²-2

6=4a-2

8=4a

2=a

This means that the quadratic function is f(x) = 2(x-5)²-2

-10(-v+6w)-w-9(-3w-v)−10(−v+6w)−w−9(−3w−v)

Answers

The answer is 19v - 34w

please help, I’m struggling!

Answers

Answer:

the answer is a . I hope it helps

Find the perimeter. Round to the nearest tenth.

Answers

Answer:

25.6 I think

Step-by-step explanation:

If a sweater is reduced in price from $40 to $26.80, what is the percent of decrease?

Answers

Answer:

Percentage decrease is 93‰

Who was in paris??????

Answers

Answer:

spongebob

Step-by-step explanation:

Answer:

i was in paris 3 years ago : )

The radius of the a circle is:

is a line segment with its endpoints on the circle.

is a line segment from the center of a circle to a point on the circle

is a chord that passes through the center of a circle. It is twice the length of a radius of that circle

is a part of a circle with all its points on the circle

Answers

Step-by-step explanation:

The radius of the a circle is:

Is a line segment from the center of a circle to a point on the circle.

So, (b) part is the correct answer.

Hope it helps :) [tex].[/tex]

I need help!!! Please Help me

Answers

Answer:

x=-40,0

y=0,15

Step-by-step explanation:

intercepts are points where the graph cuts the axes

Answer:

(- 40, 0 ) and (0, 15 )

Step-by-step explanation:

The x- intercept is the point on the x- axis where the line crosses, then

x- intercept = (- 40, 0 )

The y- intercept is the pont on the y- axis where the line crosses, then

y- intercept = (0, 15 )

A local store buys video games from the manufacturer for $15.99. They mark up the price of the game 250%. What is the selling price of the video game? Round your answer to the nearest cent.
a.$55.97
b. $17.99
c. $19 99
d. 539.98​

Answers

Answer:

$55.97

Step-by-step explanation:

The image below shows the equation for Markups. I plugged the numbers into the equation, and got $55.97 (rounded)

I hope that helps!

Is this correct???
I’m really worried this is a test worth 100 points?? Pls help if I made a mistake!!???

Answers

Answer:

There's supposed to be nothing in the 7 and 8 columns

Step-by-step explanation:

You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.

hope this helps:)

solve the compound inequality

Answers

Answer:

Given inequality:

-5r + 7 ≥ -7 - 6r ≥ 4r + 3

Solve in parts:

-5r + 7 ≥ -7 - 6r ⇒ 6r - 5r ≥ -7 - 7 ⇒ r ≥ -14 -7 - 6r ≥ 4r + 3 ⇒ 4r + 6r ≤ -7 - 3 ⇒ 10r ≤ -10 ⇒ r ≤ -1

Combine into one:

-14 ≤ r ≤ -1

or

r = [-14, -1]
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