Which pair of triangles is Alessandra referring to, and which criterion should she use for establishing congruence?
Answers
Answer:
△ABCtriangle and △CDAtriangle, by side-angle-side
Step-by-step explanation:
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
#SPJ2
Related Questions
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
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!
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?
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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
please help, I’m struggling!
Answers
Answer:
the answer is a . I hope it helps
What’s the surface area of this prism
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If a sweater is reduced in price from $40 to $26.80, what is the percent of decrease?
Answers
Answer:
Percentage decrease is 93‰
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
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
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
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:)
May someone pls help with this?
Answers
Answer:
p = 308
Step-by-step explanation:
Find the perimeter. Round to the nearest tenth.
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Answer:
25.6 I think
Step-by-step explanation:
Can someone please help me with this!?!?!
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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:
*EXTRA PTS* answer #2 - #5
Answers
Answer:
2. 2N
3. -4N
4. 4N
5. 7N
Step-by-step explanation:
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
HELP ME W/ MY HW
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz
Answers
Answer:
7238.23
Step-by-step explanation:
fórmula: a= (3.14)(12x12)
Who was in paris??????
Answers
Answer:
spongebob
Step-by-step explanation:
Answer:
i was in paris 3 years ago : )
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].
What number goes in the highlighted box?
Answers
Adding numbers with different signs makes it subtraction and the answer will have the sign of the bigger number
solve the compound inequality
Answers
Answer:
Given inequality:
-5r + 7 ≥ -7 - 6r ≥ 4r + 3Solve in parts:
-5r + 7 ≥ -7 - 6r ⇒ 6r - 5r ≥ -7 - 7 ⇒ r ≥ -14 -7 - 6r ≥ 4r + 3 ⇒ 4r + 6r ≤ -7 - 3 ⇒ 10r ≤ -10 ⇒ r ≤ -1Combine into one:
-14 ≤ r ≤ -1or
r = [-14, -1]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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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
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A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse
Answers
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 )
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
-10(-v+6w)-w-9(-3w-v)−10(−v+6w)−w−9(−3w−v)
Answers
HELP PLSSSUAURUARGUWUEGWUWGS
Answers
Answer:
mnq and pqs is the answer
Answer:
[tex]\angle{MNQ}\:and\:\angle{PQS}[/tex]