Question 2 of 10
Is AXYZ= AABC? If so, name the postulate that applies.
c
À X
Given:
ZYB
XY AB
YZ EBC
A
B
A. Congruent - SSS
B. Congruent - SAS
C. Might not be congruent
D. Congruent - ASA
Answers
The triangles XYZ and ABC are congruent by SAS postulate.
What is Congruence of Triangles?Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.
Given two triangles XYZ and ABC.
If the two triangles are congruent, their corresponding sides and angles must be equal.
Given,
∠Y = ∠B
XY ≅ AB
YZ ≅ BC
SAS congruence theorem states that if two sides and an included angle of a triangle is equal to corresponding two sides and an included angle of the other triangle, then they are congruent.
So, ΔXYZ ≅ ΔABC by SAS postulate.
Hence the two triangles are congruent by SAS postulate.
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Related Questions
Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be
Answers
Answer:
The maximum guaranteed waiting time should be of 18.37 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.
This means that [tex]\mu = 15, \sigma = 2.4[/tex]
The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?
The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.405 = \frac{X - 15}{2.4}[/tex]
[tex]X - 15 = 1.405*2.4[/tex]
[tex]X = 18.37[/tex]
The maximum guaranteed waiting time should be of 18.37 minutes.
$2,250.00 at 1 3/4% interest for 1 year
and what is$750 at 1/2% interest for 3 years?
Answers
Answer:
$2,289.38 and $761.25, respectively
I would appreciate Brainliest but no worries.
Formulate the null and alternative hypotheses that can be used to determine whether the school is losing money out of the raffle. Note that the issue is whether the school is losing money, not whether the school is breaking even. Please think about what the implication is when formulating the null and alternative hypotheses.
Answers
Answer:
https://brainly.com/question/23195326
Step-by-step explanation:
Round two decimal places
729015430.40641995
Answers
Answer:
729015430.40641995 = 729015430.41
Step-by-step explanation:
Since the 3 decimal place is 6, you round up. If you round up for 0 you get 1. Therefore your answer is 729015430.41.
Graph the equation y=−x²−8x−15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Answers
Answer:
Plot these points
(-3,0)
(-5,0)
(-4,1)
(-2,-3)
(-6,-3)
Step-by-step explanation:
Let find the zeros of the equation.
We can factor this equation.
Factor out the -1.
[tex] - 1( {x}^{2} + 8x + 15)[/tex]
Factor using AC method
[tex] - 1(x + 3)(x + 5)[/tex]
Set all the terms equal to zero.
[tex]x + 3 = 0[/tex]
[tex]x + 5 = 0[/tex]
[tex]x = - 3[/tex]
[tex]x = - 5[/tex]
So our x intercepts are -3,0 and -5,0.
To find our vertex, apply the -b/2a.
[tex] \frac{8}{ - 2} = - 4[/tex]
Then
Substitute-4 for x.
[tex]y = - {4}^{2} - 8( - 4) - 15 = 1[/tex]
So our vertex is at (-4,1).
Find some other points like -2 and -6.
To find -2, substitute-2 into the quadratic.
[tex]y = - ( { - 2}^{2}) - 8( - 2) - 15 = - 3[/tex]
So -2,-3.
Since y=-4 is the axis of symmetry
-6,-3
The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is
( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
y = −x² − 8x − 15
On simplifying the equation , we get
y = -1 ( x² + 8x + 15 )
On factorizing the equation , we get
y = -1 ( ( x + 5 ) ( x + 3 )
So , the 2 values for x is -5 , -3
So , the two points are ( -5 , 0 ) and ( -3 , 0 )
The vertex will be -b/2a
Substituting the values in the equation , we get
The vertex = -8/2 = -4
So , when x = -4
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 1 x -1 )
y = 1
So , the vertex is at the point ( 4 , 1 )
Now , when x = -1
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 4 x 2 )
y = -8
So , the point is ( -1 , -8 )
Now , when x = -2
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 3 x 1 )
y = -3
So , the point is ( -2 , -3 )
Hence ,
The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is
( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )
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What is the area of a triangle with vertices at (–3, 3), (2, 3), and (4, 7)?
Answers
Answer:
I think the answer is 20 i hope this helped
Step-by-step explanation:
10 units.
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Find the surface area of the prism.
Answers
Answer:
386
Step-by-step explanation:
(X-1)(-5X+1)=0
lesser X=
Greater X=
Answers
Greater X= 1 (x-1)
Hope this helps!
Answer:
lesser x is -5x+1
Greater x is x-1
there are 125 vehicles in a car dealership's lot. at least 88 of them are hybrid vehicles. write solve an inequality that describes how many vehicles, at most, are not hybrid.
Answers
Answer:
it is 37.
Step-by-step explanation:
125 - 88 is 37
Four points are graphed on the number line below.
Which point is located closest to the value of -v5?
A point w
B. point x
C. point Y
D. point Z
Answers
Answer:
It's close between Y and Z, but I'd go with Z
Step-by-step explanation:
[tex]-\sqrt{5}[/tex]≈-2.2360679775
Please Classify ∠1 and ∠2 using all names that apply
Answers
Answer:
if the sum of the two angles is 90°,then they are said to be complementary angles.At a fundraiser, Marco's class sold 75% of their 80 baked
goods. How many baked goods did they sell?
Answers
Answer:
60
Step-by-step explanation:
They sold 60 baked goods because 75% of 80 is equal to 60.
Answer:
60 baked goods
Step-by-step explanation:
To find the answer to this question, you will need to multiply 80 by 75%.
Now this is very simple.
Some calculators will actually give you the option to multiply by a percent. Just type 80×75% and you'll get 60.
There is another way to do this.
You could also just solve 80×.75 due to the fact that .75 is equal to 75%.
Brainliest please
hey can I get the answer key for this I don't understand
Answers
Answer: i dont have the answer key but i did answer them for you
Step-by-step explanation:
Answer:
....
Step-by-step explanation:
1.weights
2.coach
3.Olympics
4.stadium
5.finish line
6.gold medal
7.swimming pool
8.team
9.first place
21.starting line
11.score
12.medal
13.athlete
14.trophies
Tasha purchased an iPad for $625. A year later, it was selling for $500. What was the percent of change?
Answers
Answer:
-20
Step-by-step explanation:
i used a percentage calculator
WILL GIVE BRAINLEST!!!
Answers
Answer:
18 12
6 22
Step-by-step explanation:
if u understand my handwriting lol
Quinn and Alexander are painting their bedroom. Quinn has painted 2/5 of his room. Alexander has painted 2/3 of his room. Who has the more left to paint? Explain in a sentence and solve?
Answers
Answer:
Alexander
Step-by-step explanation:
Alexander has painted 2/3 of his room. Quinn has painted 2/5 of his. To find who has painted more, convert both fractions to have the same denominators. An easy way to do this is to multiply the numerator and denominator of one fraction by the denominator of the other, then do the same for the other fraction. So, [tex]\frac{2}{3}[/tex] · 5 = [tex]\frac{10}{15}[/tex] and [tex]\frac{2}{5}[/tex] · 3 = [tex]\frac{6}{15}[/tex].
[tex]\frac{10}{15}[/tex] > [tex]\frac{6}{15}[/tex]. So, Alexander has painted more of his room than Quinn has.
Please help me answer this
Answers
Ryan has 25 tiles and 12% of them are green. how many tiles are green
Answers
Answer:
208.33. this is it your welcome
f(x) = 3x + 7. What is f(4) ?
Answers
Answer:
I believe the answer is 19.
Find the line of symmetry.
f(x) = -2x2 + 12x - 20
Answers
Hope this helps :)
help me with just 27
Answers
Answer:
16/13
Step-by-step explanation:
the error is when it was divided, one of the fractions should be reversed to be multiplied
4 ÷ 13
7. 28
4 × 28 ,like this
7. 13
= 112 ,divide both by 7
91
= 16
13
What is the volume of the cylinder shown below? A. 12157 units B. 3617 units C. 647 units D. 152 T units
1215 Units 3
Answers
Answer:
D
Step-by-step explanation: the answer is D
ASAP-
Can someone please help me with this?
Answers
Answer:
90 I believe
Step-by-step explanation:
Answer: A or B
Step-by-step explanation: A or B
What is the quotient? 2y2-6y-20/4y+12
Answers
Answer:
last 4rd
Step-by-step explanation:
An online retailer wants to study whether more lenient return policies increase purchasing behaviors. They
select a random sample of 2000 customers who have made purchases in the past year.
They use a random number generator to select 1000 customer account numbers to assign to the treatment
group. The remaining 1000 customers are assigned to the control group.
What type of experiment design is this?
A) randomized block
B) stratified
C) completely randomized
D) marched pairs
E) cluster
Answers
Answer: Completely Randomized
Step-by-step explanation:
effect of one primary factor rather than many different variables
As per the question the retailer wants to study the return policy that can increase the buying behavior and selects a random sample of 2000.
He uses matched pair of designs in his experiment design in which participants of the same traits get grouped in pairs. After which within each pair, one participant gets randomly allotted to either the treatment, and the other is assigned to the other part.Hence the option D is correct.
Learn more about the study whether more.
brainly.com/question/14894261.
Part c Katie started with $40. How much money did she have left after purchasing the supplies? Enter your answer in the box provided.
Answers
Answer:
gotta give me more details here Katie
Please help, test due in 2 hours! Will give good review and brainliest.
Answers
Answer:
B. Ellipse
...............................................
What is m∠G to the nearest tenth?
Answers
Answer:
Step-by-step explanation:
tan(G) = 28.2/45.8
G = arctan(28.2/45.8) = 31.6°
You wonder if weather (rain, cloudy or sunny) makes a difference on mood (happy or not). To determine this, you sample the moods of 200 people on a sunny day, 200 people on a rainy day and 200 people on a cloudy day and record whether they were happy or not. You then want to do a chi square test on this data. What are the degrees of freedom?
Answers
Answer:
2
Step-by-step explanation:
Drawing a table to show the different weather and mood options :
The degree of freedom :
________ WEATHER ________
__________Rain ____ sunny _____ cloudy
Happy
|
Not happy
Here, we have a contingency table formatted in rows and columns
The columns = 3
The rows = 2
Degree of freedom :
(rows - 1) * ( columns - 1)
(2 - 1) * (3 - 1)
1 * 2
= 2
The degree of freedom = 2
What is the perimeter of the triangle
Answers
Answer:30 centimeters
Step-by-step explanation:
The bigger square with an area of 144 cm squared has a perimeter of 100 with each side equal to 25. You find this by seeing that 25 times 25 equals the area of the square. Same thing with the smaller square 5 times 5 equals 25. Now that we have the perimeter for the sides that are connected to the square (25) and (5), multiply those together just as you would with finding the area of a square. (25)(5)=60. Since this is a triangle you divide your answer in half which is 30.
