Determine whether these two triangles are congruent with the ASA congruence method. If so, write the congruence statement. answers: A) ΔFED ≅ ΔGFE B) ΔDEF ≅ ΔGEF C) The triangles aren't congruent using ASA. D) ΔDEF ≅ ΔGFE
Answers
Answer:
D) ΔDEF ≅ ΔGFE
Step-by-step explanation:
For ASA to be used, 2 angles and their included side must be congruent. ∠F ≅ ∠E because of the markings, ∠E ≅ ∠F because all right angles are congruent, and side FE ≅ EF because they are aligned with each other. 2 angles and their included side are congruent.
As for the congruence statement, D is the right answer because ∠D ≅ ∠G, ∠E ≅ F, and ∠F ≅ ∠E.
I hope this helps :))
ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.
Given that,
Two triangles are given with a common side EF whose alternate interior angles are also equal .i.e ∠E = ∠F and also are of 90° in ΔDEF and ΔGFE respectively.
Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
What is congruent geometry?In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
In ΔDEF and ΔGFE
∠DEF = ∠GFE (both are of 90°)
EF = EF (common side)
∠DFE = ∠GEF (alternate interior angle)
Hence ΔDEF ≅ ΔGFE are congruent by ASA.
Thus, ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.
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Related Questions
Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x + 10 > 30
Answer here
SUBMIT
Answers
Answer: x > 20
Step-by-step explanation:
x + 10 > 30
-10 -10
x > 20
Answer:
x-3
Step-by-step explanation:
x+7-7>10-7
subtract 7 from both sides
Half the sum of a number and 5
Answers
I WILL GIVE BRAINLIEST AND THANKS
Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.
Mean
B.
Interquartile range
C.
Median
D.
Mean Absolute Deviation (MAD)
E.
Range
Answers
A small toy rocket is launched from a 20-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = – 2t^2– 6t + 20. How long will it take the rocket to hit the
ground?
Answers
Answer:
t = 2 sec
Step-by-step explanation:
h = – 2t²– 6t + 20
When the rocket hits the ground. h = 0 ft.
– 2t²– 6t + 20 = 0 /: (-2)
t² + 3t - 10 = 0
(t + 5)(t - 2)=0
t = - 5, t = 2
Time can be only positive.
describe to a friend how to graph a point at (2,5)
Answers
Answer:
So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!
Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it
Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance of 5 from y-axis.
What are the co-ordinates of a point in a graph?A point has two inputs namely the x-coordinate and y-coordinate. The x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.
Given point is (2,5)
Plot x=2 at a perpendicular distance from y axis measured along positive x axis
plot y=5 at a perpendicular distance from x axis measured along positive y axis
and we get the required point.
The point (2,5) is plotted in the graph attached with the answer.
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Which of the following conditions must be met in order to make a statistical inference about a population based on a sample
if the sample does not come from a normally distributed population?
mu >= 30
x >= 30
n>= 30
N>= 30
Answers
Answer:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Step-by-step explanation:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Answer:
It's C.
Step-by-step explanation:
I took the test
Please help with this...will give you five star and brainlist.....
Answers
Answer:
P = 72 mm
Step-by-step explanation:
Since all the angles are equal, this triangle is an equilateral triangle.
That means all the sides are equal.
All sides have length 24
P = 24+24+24
P = 72 mm
In the figure, PA and PB are tangent to circle O and PD bisects angle BPA. the figure is not drawn to scale
Answers
Answer:
C (46)
Step-by-step explanation:
Triangle PAO is congruent to Triangle PBO by Hypotenuse-Leg (I'm assuming you learned this already if you have this question let me know if you haven't). OA and OB are both radius of circle O, making them congruent because all radii are congruent. Also PO is congruent to PO by reflexive.
Angle AOC is the same thing is Angle AOP. Angle POB is congruent to Angle AOP by CPCTC (Congruent Parts of Congruent Triangles are Congruent). Therefore, Angle POB is 46 degrees.
Use the spinner to find the theoretical probability of the events. Type your answer in the box below in simplified fraction form.
(will mark brainliest :))
Answers
Answer:
Step-by-step explanation:
A: if both 6 and 3 are red then the probability for a red is 2/6 or 1/3, if only 3 or 6 is a red then it is 1/6
B: spinning a 1 is 1/6 probability
C: spinning an odd number is 3/6 or 1/2 as half of the numbers are odd
D: 0 probability as there are no 9
plz help will be marked brillent 5 stars and thanks !!!!
Answers
3 times 7 = 21 + 4 = 25
The two lines graphed below are parallel. How many solutions are there to the
system of equations?
A. TWO
B. Zero
C. Infinitely many
D. One
Answers
Answer:
Zero
Step-by-step explanation:
Option C is correct, there are Infinitely many solutions are there to the system of equations.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The two lines are parallel, they have the same slope, which means that m is the same for both equations.
Therefore, the system of equations can be simplified to:
y = mx + b₁
y = mx + b₂
Subtracting the two equations, we get:
0 = b₁ - b₂
This means that the y-intercepts of the two lines are equal.
The two lines coincide with each other, and there are infinitely many solutions to the system of equations.
Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.
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Viet solved a quadratic equation. His work is shown below. In which step did Viet make an error? Step 1,2,or 3?
Answers
Answer:
Step 1
Step-by-step explanation:
he added 4 to the other side instead of taking away 4
Answer:
step 1
Step-by-step explanation:
Which best compares the volumes of cylinder X and cylinder Y?
A. The volume of cylinder X is less than the volume of cylinder Y.
B. The volume of cylinder X is equivalent to the volume of cylinder Y.
C. The volume of cylinder X is greater than the volume of cylinder Y.
D. There is not enough information to compare the volumes.
Answers
Considering the equation for the volume of a cylinder, it is found that the correct statement is:
A. The volume of cylinder X is less than the volume of cylinder Y.
What is the volume of a cylinder?
The volume of a cylinder of radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.
More can be learned about the volume of a cylinder at https://brainly.com/question/9408912
Answer:
It is answer B
Step-by-step explanation:
this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.
A city is holding a referendum on increasing property taxes to pay for a new high school. In a survey of 458 likely voters, 254 said that they would vote “yes” on the referendum. Create a 95% confidence interval for the proportion of likely voters who will vote “yes” on the referendum. Use Excel to create the confidence interval, rounding to four decimal places.
Answers
Answer:
[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]
[tex]=(0.5091,0.6001)[/tex]
Lower limit for confidence interval=0.5091
Upper limit for confidence interval=0.6001
Step-by-step explanation:
We have given,
x=254
n=458
Estimate for sample proportion= [tex]\bar p = 0.5546[/tex]
Level of significance is =1-0.95=0.05
Z critical value(using Z table)=1.96
Confidence interval formula is
[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]
[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]
[tex]=(0.5091,0.6001)[/tex]
Lower limit for confidence interval=0.5091
Upper limit for confidence interval=0.6001
whats 1- 4/6 pls tell me the answer pls don't write weird thing just to get points
Answers
Answer:
1- 4/6 = 2/6 or 1/3.
Answer:
1/3
Step-by-step explanation:
1 - 4/6
Replace 1 with 6/6
6/6 - 4/6
2/6
Divide the top and bottom by 2
1/3
ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
Answers
What is the slope of the line? 2x+4y=6-y
Answers
Answer:
m= -2/5
Step-by-step explanation:
use the slope-intercept form y=mx+b to find the slope m.
Answer:
-2/5
Step-by-step explanation:
plz mark brainliest!
Does anyone know the answer?
Answers
[tex]value \: of \: x \: is \: 210 \\please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
Answer:
[tex]210 \: \: \: degrees[/tex]
Step-by-step explanation:
Two equilateral triangles and a square are join together.
So, in a equilateral triangle all the angles are equal. which means an angle measures 60 degrees.
Also in a square all the angles are equal . it measures 90 degrees.
x = two triangle = 60 +60
square = 90
[tex]60 + 60 + 90 \\ = 210[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Jamie spent
$196.76 on groceries this week. Of her total,
$16.15 was spent on taxes. What percentage of her total was spent on taxing?
Answers
Eight less than a number is six more than twice the same number.
I need the number.
Answers
Explanation:
x - 8 = 2x + 6
We move all term to the left
x - 8 - ( 2x + 6 ) = 0
We get rid of parentheses
x - 2x - 6 - 8 = 0
We add all the numbers together, and all the variables
-1x - 14 = 0
We move all terms containing x to the left, all other term to the right
-x = 14
x = 14/-1
x = -14
Each banana weighs 1/2 pound. How many bananas are there in 3 pounds?
Answers
Answer:
6
Step-by-step explanation:
3 divided by 1/2 is equal to 6
Answer:
6 bananas are in 3 pounds.
Step-by-step explanation:
Each banana is 0.5 pound, and keep adding more bananas until you reach 3 pounds.
Twin brothers need help can anybody help them?
Answers
Answer:
210 cm^2
Step-by-step explanation:
3x-1 + 4x+1 + 3x = 70
10x = 70
x = 7
Now, Area of the triangle is 1/2 * b * h
therefore,
1/2 * 3x * 3x-1
1/2 * (3*7) * (3*7 -1)
1/2 * 21 * 20
21 * 10
210
210 is the area!
Hope this helps! mark as brainliest if helped! thanks!
210 cm^2
3x-1 + 4x+1 + 3x = 70
Simplify
10x = 70
divide by 10
x = 7
So,
1/2 * 3x * 3x-1
1/2 * (3*7) * (3*7 -1)
1/2 * 21 * 20
21 * 10
210 would be your final answer
Step-by-step explanation:
What is the factored form of x2 - 9x + 20?
Answers
Answer:
(x - 4) (x - 5)
Step-by-step explanation:
Factor the following:
x^2 - 9 x + 20
The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):
Answer: (x - 4) (x - 5)
Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.
∆ARE ≅ ∆ _______
By rule _________
Answers
Answer:
ARE is congruent to ARC
By rule SSS
Step-by-step explanation:
Welp that's just the answer.
Hope this helps
Fairfax Pizza is evaluating a project that would require an initial investment in equipment of 400,000 dollars and that is expected to last for 7 years. MACRS depreciation would be used where the depreciation rates in years 1, 2, 3, and 4 are 45 percent, 33 percent, 16 percent, and 6 percent, respectively. For each year of the project, Fairfax Pizza expects relevant, incremental annual revenue associated with the project to be 628,000 dollars and relevant, incremental annual costs associated with the project to be 552,000 dollars. The tax rate is 50 percent. What is (X plus Y) if X is the relevant operating cash flow (OCF) associated with the project expected in year 1 of the project and Y is the relevant OCF associated with the project expected in year 4 of the project?
Answers
Answer:
$178,000
Step-by-step explanation:
The calculation of X and Y is shown below:-
Before that we need to do the following calculations
[tex]Depreciation\ in \ 1\ year = 45\%\times Initial\ investment[/tex]
[tex]= 0.45\times\$400,000[/tex]
= $180,000
[tex]Depreciation\ in \ 4\ year = 6\%\times Initial\ investment[/tex]
[tex]= 0.06\times\$400,000[/tex]
= $24,000
Now, Operating cash flow of X in Year 1
[tex]X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50[/tex]
= $38,000 + $90,000
= $128,000
and Operating cash flow of Y in Year 4
[tex]Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50[/tex]
= $38,000 + $12,000
= $50,000
[tex]X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2[/tex]
= $128,000 + $50,000
= $178,000
hence, the X + Y is $178,000
Please help ASAP- will give brainliest! Picture Below
Answers
Answer:
c
Step-by-step explanation:
Answer:
A - ( 2, - 4 )
Step-by-step explanation:
M, N , O is reflected at the points (-2,2) - O (-5,3) - M (-2,4) - N, and the triangle MNO is rotated 180 degrees around the origin , Down once because the triangle is being rotated around the origin and then right which would be the answer A. Hope this Helps : )
Ahhhhh
Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lesley must purchase
at least eleven items. If Lesley wants to spend as much as possible on his gift card by
purchasing the most items, which combination of movies and newly released video games is
optimal?
A(25, 0)
B(20,2)
C(15,4)
D(10,6)
Answers
Answer:(B)
Step-by-step explanation:
so the Movie is 20$ and the games are 50$ you can buy 2 games because 50+50=100 and 500-100=400.Next,the Movie is 20$ so you can do 400/2=20 and thats your answer because youy cant use no more money in the card.
Answer:
The answer is A (25, 0)
Step-by-step explanation:.
The question mentions "purchasing the most items" which means we want as many items as possible. Usually the question would imply how much of BOTH you can get for that price, but it is being specific to amount for that price.
3x - 36 + 2y = 0
Help! Please show work and match the algebraic function to the correct graph.
Answers
Answer:
The answer is Graph III.
Step-by-step explanation:
Given that the linear equation is y = mx + c where m represents gradient and c is y-intercept.So firstly, we have to make y the subject :
[tex]3x - 36 + 2y = 0[/tex]
[tex]2y = - 3x + 36[/tex]
[tex]y = - \frac{3}{2} x + 18[/tex]
Next, by looking at the graph, we know that the line has a negative gradient and touches y-axis at 18 which suits the equation.
Find the perimeter of the following shape:
A. 10.8
B. 11
C. 11.4
D. 11.6
Answers
Answer:
A: 10.8
Step-by-step explanation:
AD = BC
AB = DC
2AD + 2AB
AD = ±[tex]\sqrt{3^2+1^2}[/tex] ≈ ±3.1622
AD ≈ 3.1622
AB = ±[tex]\sqrt{2^2+1^2}[/tex] ≈ ±2.236
AB ≈ 2.236
2AD + 2AB = 2*3.1622 + 2*2.236 ≈ 10.79 ≈ 10.8
Answer the question below
Answers
Answer:
a) The modal average is 3 bedrooms
b) The mean number of bedrooms is 2.825, or 3 rounded.
Step-by-step explanation:
If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.
For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.