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 -
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Related Questions
Can someone please help i spendt 30 mins on this one question ?
Answers
Answer:
A
Step-by-step explanation:
To keep things short, use the distance formula to find the distance from each point from (0,0)
Math Math help help help ASAP please help me
Answers
Answer:
a.) 64
b.) 2401
Step-by-step explanation:
Answer:
a.) 64
b.) 2401
Step-by-step explanation:
Jimmy and his friends want to sign up for a game rental service. They have information on game rental plans from four different companies. The friends plan to rent 15 games per month. Which plan is the BEST? Use substitution to determine the best price.
A-GameStop; pay $5 for each game ordered. (5g)
B-Level-up Games; pay $25 to join and $2 for each game ordered (2g + 25)
C-Game Changer; pay $20 to join and $2.50 for each game ordered (2.5g + 20)
D-Game Land; pay $60 per month for unlimited amount of game rentals (60)
Answers
Answer: A
Step-by-step explanation:
It’s the cheapest
esme takes the bus to university 40 times during a term to relative frequency of the bus being late is 0.3
how many times is the bus late ?
Answers
Answer:
I Don't know....
Step-by-step explanation:
sry.....
Answer: 12
Step-by-step explanation:
So.
40 multiplied by 0.3 is 12
victor is keeping track of winter temperatures for a project. yesterday the thermometer read 12°F, and today the temperature has dropped 7°F. he wants to determine the temperature today. which operation should he use to solve this problem?
A) addition
B) subtraction
C) multiplication
D) division
Answers
since the temperature DROPPED
Answer: subtraction
Step-by-step explanation:
i did the assignment.
A cylinder has a base diameter of 10cm and a height of 7cm. What is its volume in cubic cm, to the nearest tenths place?
Answers
Answer:
volume = 549.5 cm³
Step-by-step explanation:
base area m= πr² = (3.14)(5²) = 78.5 cm²
volume = base area x height = 78.5 x 7 = 549.5 cm³
Answer:
549.5 cm3
Step-by-step explanation:
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x? x = 8 x = 10 x = 13 x = 18
Answers
Answer:
x = 10
Step-by-step explanation:
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
The sum of the exterior angles of a decagon = 360°
Decagon = 10 sides
Each angle in a decagon = 360/10
= 36°
We are told that:
Each exterior angle of a regular decagon has a measure of (3x + 6)°.
Hence,
(3x + 6)° = 36°
Collect like terms
3x = 36 - 6
3x = 30
x = 30/3
x = 10
Answer: The person above me is correct! It is B. X=10 I got a 100% on the test! Edge2021
Step-by-step explanation:
What is the maximum percentage of net spendable income that should be set aside for housing? (It’s not 38)
A.25%
B.36%
C.38%
D.28%
Answers
Answer:
Step-by-step explanation:
It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.
How do you write the mixed number shown as a fraction greater than one. I'm so confused. The number shown is 3 2/4
Answers
Answer:
14/2
Step-by-step explanation:
get this right N I’ll give you brain list!
Answers
Answer:
[tex]y=\frac{1}{4} +x[/tex]
Step-by-step explanation:
use desmos graphing calculator
Is this correct???????????!!!!please gelppp
Answers
Answer:
Step-by-step explanation: it looks right to me but who knows
Answer:
Yes
Step-by-step explanation:
The line intersects the y axis at point 4 (y > 3/2 x + 4), and for every 2 squares to the right it goes 3 squares up (y > 3/2 x + 4). Also, it's the > sign, which is correct when it goes in that direction.
Name: ___________________________________________ Class: ___________
Real World Situation
Bryce spent $5.26 on some apples priced at $0.64 each and some pears priced at
$0.45 each. At another store he could have bought the same number of apples at
$0.32 each and the same number of pears at $0.39 each, for a total cost of $3.62. How
many apples and how many pears did Bryce buy?
Write equations in Standard Form.
Equation 1 (Store 1) Equation 2 (Store 2)
___________________________________ ____________________________________
Solve both equations in Standard Form. Show all work.
HINT: Replace the given values for x in the equation and solve for y
Equation 1
x (x,y)
0
1
2
3
4
5
6
Equation 2
x (x,y)
0
1
2
3
4
5
6
Solution:- ( , )
Identify the solution and state what it means in context of the problem.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
________________________________________________________________________________
Use Substitution Method to solve the system of Equations. Show all work and state
the solution.
Solution: ( , )
Explain in your own words your process of solving the System of Equations using
Substitution Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Use Elimination Method to solve the system of Equations. Show all work and state the
solution.
Solution: ( , )
Explain in your own words your process of solving the System of Equations using
Elimination Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Use Graphing Method to solve the system of Equations. Show all work and state the
solution.
Solution: ( , )
Explain in your own words your process of solving the System of Equations using
Graphing Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
Reflection:
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Name_____________________________________ Class:______________ 2020-2021 Score:
Circumstances of Performance Students comments: I have learned that
___independent work __________________________________________________________________
___in class __________________________________________________________________
___as Homework __________________________________________________________________
___with a partner __________________________________________________________________
___with teacher feedback
___with an opportunity for revision Teacher comments/Next Steps:
__________________________________________________________________
Peer Reflection:
___________________________________________________________________
___________________________________________________ ___________________________________________________________________
___________________________________________________ ___________________________________________________________________
___________________________________________________ ___________________________________________________________________
Answers
Let the number of apples be x and that of pears be y, then:
0.64x + 0.45y = 5.26 . . . (1)
0.32x + 0.39y = 3.62 . . . (2)
(2) x 2 => 0.64x + 0.78y = 7.24 . . . (3)
(1) - (3) => -0.33y = -1.98
y = -1.98 / -0.33 = 6
From (2), 0.32x + 0.39(6) = 3.62
0.32x = 3.62 - 2.34 = 1.28
x = 1.28 / 0.32 = 4
simplify 2(-3x -6) I want to simplify it but I'm not sure how
Answers
Answer:
-6x-12
Step-by-step explanation:
2(-3x-6)
Multiply: 2(-3x)+2(-6)
so answer is -6x-12
Explained: 2(-3x-6)
-6x - 12
A 20-foot ladder leans against a wall, making a 70° angle with the ground. To the nearest tenth of a foot, how far up the wall will the ladder reach? 6.8 6.9 I 3) 18.7 18.8
Answers
Answer:
4) 18.8
Step-by-step explanation:
What we are trying to find is the opposite of the triangle with the angle and the hypotenuse. The equation for that is sin(degrees) = opp/hyp
the degrees is 70, the opposite is x, and the hypotenuse is 20
sin(70) = x/20
0.93969262078 = x/20
18.7938524 = x
18.7938524 rounds to 18.8 so the answer is 4
What is the best approximation of the length of the radius in a circle with an area of 167 m2?
a. 4.6 meters
b.4.0 meters
c. 2.3 meters
d.5.1 meters
Answers
Answer:
r = 7.3 m
Step-by-step explanation:
A = (pi)(radius)^2, so, if A = 167 m^2, r^2 is found as follows:
167 m^2
r^2 = -------------- = 53.158 m^2
3.14
Taking the square root of both sides, we get
r = 7.3 m
This is correct, because A = (pi)(radius)^2 becomes (3.14)(7.3 m)^2 = 167.4 m^2
What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?
Answers
Answer:
Suppose that we have two similar figures.
Then if a given side of one of the figures has a measure M, the correspondent side in the other figure has a measure M' = k*M
Where k is the scale factor.
Then if the perimeter of the first figure is P, the perimeter of the other figure will be P' = k*P
And if the area of the first figure is A, then the area of the other figure will be:
A' = k^2*A
Then the quotient between the perimeters is:
P'/P = k
And the ratio between the areas is
A'/A = k^2
So what we need to do, is find the value k.
In the image, we can see that the base of the larger figure is 30 yd, and the base of the smaller figure is 12 yd.
If we define the smaller figure as the original one, then we will have:
M = 12 yd
M' = 30 yd
M' = 30yd = k*12yd = k*M
Solving for k we get:
k = 30yd/12yd = 2.5
Then the ratio between the perimeters is:
P'/P = k = 2.5
And the ratio of the area of the larger figure (A') to the smaller figure (A) is:
A'/A = k^2 = (2.5)^2 = 6.25
May someone pls help with this?
Answers
Answer:
p = 308
Step-by-step explanation:
Use the GCF to factor: 90u + 80q
Answers
Answer:
10(9u+8q)
Step-by-step explanation:
Select all shapes that have a volume of 36pi cubic units. (see attached picture)
Answers
Answer:
a B and c because there the shape of the big triangles
simplify the ratio 25:15:10
Answers
Answer:
60%
Convert fraction (ratio) 15 / 25 Answer: 60%
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the raining fuel is 1.5 gallons or less. write an inequality to determine the number of days diego's father can drive the car without the warning light coming on.
Answers
Answer:
0.5n < 12.5
n < 25 days
Step-by-step explanation:
Total gallons of fuel = 14 gallons
Warning light comes on when the remaining fuel is 1.5 gallons or less
Gallons of fuel used without warning light = 14 gallons - 1.5 gallons
= 12.5 gallons
Gallons of fuel used per day = 0.5 gallons
Number of days = n
inequality to determine the number of days diego's father can drive the car without the warning light coming on.
0.5n < 12.5
n < 12.5/0.5
n < 25 days
The value of 3^4+5•5=
Answers
Answer:
106
Step-by-step explanation:
3^4=81
5·5=25
81+25=106
simplify the expression
Answers
Answer:
[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}[/tex]
Step-by-step explanation:
We have the expression:
[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}[/tex]
The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x
We will get:
[tex](\frac{2}{2} )\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x}[/tex]
Now we can directly add the terms to get:
[tex]\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}[/tex]
We can't simplify this anymore
Can Someone Help Me With This I Beg You.
Answers
Name two triangles that are congruent by AAS.
Answers
ACF and ROB? you didnt show the rest of the answer options
What is the measure of each angle of an equilateral triangle?
A. O 90°
B. O 45°
C. 60°
D. 30°
Answers
Answer:
C) 60 degrees
Step-by-step explanation:
An equilateral triangle has all equal angles. We know that all the angles of a triangle add up to 180 degrees. Therefore 45+45+45=180 giving you an equilateral triangle angle measure.
Haley substituted the values of a, b, and c into the quadratic formula below.
x = StartFraction negative (negative 10) plus or minus StartRoot (negative 10) squared minus 4 (7)(negative 2) EndRoot Over 2(7) EndFraction
What was Haley’s function in standard form?
f(x)=___x2+____x+____
Answers
Answer:
f(x) =
7
x2 +
-10
x +
-2
Step-by-step explanation:
Gale owns a car that is worth $9,500 but she still owes $7,400 on the car loan. She has a student loan in the amount of $6,000 and she has a savings account with a balance of $1500. The balance on her credit card is $3200. What is her net worth?
Answers
Answer:
$8000
Step-by-step explanation:
Given: Car worth = $9,500, car loan = $7,400. Student loan = $6,000, savings account = $1500. The balance on her credit card is $3200.
Formula: Total Assets - Total Liabilities - Intangible Assets = Tangible Net Worth.
To find: Gale's net worth
Solution: You can calculate your net worth by subtracting your liabilities (debts) from your assets.
Firstly, calculate the total amount of assets by adding them together;
Total assets = Car worth + car loan + Student loan + savings account + balance on her credit card =
$9,500 + $7,400 + $6,000 + $3200 =$26,100
Secondly, calculate the Liabilties by adding them together;
Car loan + Student loan =
$7,400 + $6,000 = $13,400
Then, calculate the Intangible Assets by adding them together;
Savings account + The balance on her credit card =
$1500 + $3200 = $4700
Finally substact the total amounts;
$26,100 - $13,400 - $4700 = $8000
(Note:- If your assets exceed your liabilities, you will have a positive net worth. Conversely, if your liabilities are greater than your assets, you will have a negative net worth.)
What is the largest perfect square factor of 84
Answers
Answer
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Step-by-step explanation:
The largest perfect square factor of 84 is 4.
We know that, a factor is a number that perfectly divides the number with 0 as remainder.
The easiest way to find out factors of a number is by doing LCM.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
From all the above factors 4 is the only number that is a perfect square.
Therefore, the largest perfect square factor of 84 is 4.
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The actual length of side y is 22cm. Use the scale drawing to find the length of side x.
Answers
Given:
The actual length of side y is 22cm.
To find:
The length of side x by using the scale drawing.
Solution:
We know that the corresponding sides of original figure and scale drawing are proportional.
[tex]\dfrac{x}{1.8}=\dfrac{y}{1.4}[/tex]
[tex]\dfrac{x}{1.8}=\dfrac{22}{1.4}[/tex]
[tex]x=\dfrac{22}{1.4}\times 1.8[/tex]
[tex]x\approx 28.286[/tex]
Therefore, the length of side x is about 28.286 cm.