In Exercises 1-3, decide whether enough information is given to prove that the triangles are congruent using either the SSS Congruence Theorem (Theorem 5.8) or the HL Congruence Theorem (Theorem 5.9). Explain.
Answers
1. The triangles are congruent based on the SSS congruence theorem.
2. The information is not enough.
3. Both are congruent by the HL congruence theorem.
What is the HL Congruence Theorem?If two triangles have a pair of congruent hypotenuses and a pair of congruent legs, then both triangles ae congruent to each other based on the HL congruence theorem.
What is the SSS Congruence Theorem?The SSS Congruence Theorem states that if any two triangles have three pairs of corresponding sides that are congruent to each other, then the triangles are congruent.
1. Based on the SSS congruence theorem, the pair of angles in figure 1 are congruent.
2. There is no information available that shows the triangles have a pair of congruent hypotenuses, nor have three pairs of corresponding congruent sides. Th information given is not enough to prove that they are congruent by SSS or HL.
3. Based on the HL congruence theorem,, they are congruent to each other.
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Related Questions
In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715. Based on a linear model, what is the predicted average price for 2014? Ston Down
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Answer:
The predicted average price for 2014 is of $38,304.
Step-by-step explanation:
Linear model:
In a linear model, the average price increases by the same amount during each period.
In 2002, the average price of a new domestic car was $19,126. In 2008, the average price was $28,715.
In a period of 6 years, the increase was of:
28715 - 19126 = $9,589
Based on a linear model, what is the predicted average price for 2014?
Another period of 6 years, so it will increase by 9589 more. Than
28715 + 9589 = 38304
The predicted average price for 2014 is of $38,304.
Laura runs 6 miles in 50 minutes. At the same rate,how many miles would she run in 35 minutes?
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50/6=8.3
34/8.3=4.2
The figure shown below is a trapezoid. What is the value of x?
Answers
Answer:
7
Step-by-step explanation:
the traezoid has congruent legs moving from the top to the bottom
and length is increasing by 2 each for each base, so the bottom base
is 14.
2x = 14
x = 7
12 to 15
Help Gracias
Answers
Answer: 13, 14
Step-by-step explanation:
I counted
Explain why the two triangles below are similar by writing the appropriate similarity theorem. Then find x. Round your answer to the nearest tenth. (example answer ---> SSS,9.2 ---> no spaces)
Answers
Answer:
SSS Theorem
[tex]x = 35.7[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) The similarity theorem
The given sides of the triangle are similar.
In other words, they are similar by sides.
Hence, the theorem is: SSS
Solving (b): Find x
To find x, we make use of the following equivalent ratios.
[tex]\frac{14}{25} = \frac{14+6}{x}[/tex]
This gives:
[tex]\frac{14}{25} = \frac{20}{x}[/tex]
Cross multiply
[tex]14 * x = 20 * 25[/tex]
[tex]14 * x = 500[/tex]
Solve for x
[tex]x = \frac{500}{14}[/tex]
[tex]x = 35.7[/tex] -- approximated
If you roll a 6-sided die 54 times, what is the best prediction possible for the number of times you will roll an odd number?
and leena comment under please
Answers
Answer:
9 times
Step-by-step explanation:
I took 54 and divided it by six and got nine
a1=-3, r= -3, n = 10
Answers
Answer:
N =10
Step-by-step explanation:
R=-3 hhhhhhhgh
Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4
A)X = 0
B)X = 1
C)There are no solutions to the system.
D)There are infinite solutions to the system.
Answers
Using Cramer’s Rule, the value of x is 0
How to determine the value of x?We have:
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4
Represent as a matrix
[tex]\left[\begin{array}{cc}2/5&1/4\\2/3&5/12\end{array}\right] \left[\begin{array}{c}9/20&3/4\end{array}\right][/tex]
Start by calculating the determinant of the matrix
A = 2/4 * 5/12 - 2/3 * 1/4
Evaluate the product
A = 5/24 - 1/6
Evaluate the difference
A = (5 - 4)/24
|A| = 1/24
Next, replace the last column with the first
[tex]\left[\begin{array}{cc}9/20&1/4\\3/4&5/12\end{array}\right][/tex]
Calculate the determinant
|x| = 9/20 * 5/12 - 1/4 * 3/4
Evaluate the product
|x| = 3/16 - 3/16
Evaluate the difference
|x| = 0
The value of x is then calculated as:
x = |x|/|A|
So, we have:
x = 0/(1/24)
Evaluate
x = 0
Hence, the value of x is 0
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0 and no solutions are both wrong, but dont know the acrual answer lol
Members of a baseball team raised $1717.75 to go to a tournament they rented a bus for 965.50 and budgeted $44.25 per player for meals determine the number of players the team can bring to the tournament
Answers
Answer:
17
Step-by-step explanation:
Answer:12
Step-by-step explanation:
What is the value of the expression when b=4
Answers
HELPPP ASAP!!
A warehouse worker is stacking boxes. The height of each box is 20 centimeters. She cannot stack the boxes higher than 5 feet.
1 inch 2.54 centimeters, 1 foot = 12 inches
What is the maximum number of boxes the warehouse worker can stack? Enter the answer in the box.
boxes
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Answer:
I dont know can u explaining more its not clear too much
Triangle ABC is graphed on the coordinate plane, as shown below.
Triangle ABC is dilated by a scale factor of 2 with
a center of dilation at the origin to create triangle
A’B’C’. What are the coordinates of the vertices
of triangle A’B’C’?
Answers
Answer:
I believe the answer would be D.
Answer:
D. (4,4), (8,8), (-8,4)
Step-by-step explanation:
We have A (2,2), B(4,4) and C (-4,2)
Dilation by factor of 2: (x,y) => (2x,2y)
A (2,2) => A'(4,4)
B(4,4) => B'(8,4)
C (-4,2) => C'(-8,4)
Scarlet went out to eat. Her food cost $25.50, and there was a 5% tax on the cost
of the meal. She planned to leave an 18% tip.
Answers
Step-by-step explanation:
cost =$25.50
=5%÷100=0.05
=25.50×0.05=1.275 +25.50=26.775=4.8195 +26.775
=31.5945
a city has 5 cm of snow on the ground before snow storm bonus no sign of the amount of snow on the ground increased by 2 cm in an hour which table shows a smaller 8 or change that When one describes
Answers
Answer:
yb
Step-by-step explanation:
Second term of a geometric series is , the limiting sum is 9.
Get the values of first term a and common ratio r.
Answers
Answer:
The answer is below
Step-by-step explanation:
Second term of a geometric series is 2, the limiting sum is 9.
Get the values of first term a and common ratio r.
Solution:
A geometric series is in the form:
a + ar + ar² + ar³ + . . . + arⁿ ⁻ ¹
Where a is the first term, n is the nth term and r is the second ratio.
Since the second term of the series is 2, hence:
ar⁽² ⁻ ¹⁾ = 2
ar = 2 (1)
Also, the limiting sum is 9, hence:
a/ (1 - r) = 9
a = 9 - 9r (2)
Substitute a = 9 - 9r in eqn 1:
(9 - 9r)r = 2
9r - 9r² = 2
9r² - 9r + 2 = 0
9r² - 6r - 3r + 2 = 0
3r(3r - 2) -1(3r - 2) = 0
(3r - 1)(3r - 2) = 0
r = 1/3 or r = 2/3
When r = 1/3; a = 9 - 9r = 9 - 9(1/3) = 6
When r = 2/3; a = 9 - 9r = 9 - 9(2/3) = 3
........................................................................................
Solve
........................................................................................
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Answer:
10 - 15%
Step-by-step explanation:
Just guessing
Find the maximum power of 5 which can divide 49!
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Answer:
10
Step-by-step explanation:
I could really use some help with this
Answers
Answer:
see explanation
Step-by-step explanation:
f(x + 2) is a horizontal translation of f(x) 2 units to the left
f(x - 2) is a horizontal translation of f(x) 2 units to the right
Given
f(x) = x³ , then
f(x + 2) = f(x + 2)³ is a horizontal translation of f(x) 2 units left
f(x - 2) = (x - 2)³ is a horizontal translation of f(x) 2 units right
pleasee help me i’ll give you brainliest
Answers
Answer:
Step-by-step explanation:
its 4
Answer:
4
Step-by-step explanation:
4 ³ = 64
4 to the negative 2 = 0.0625
so 64× that is 4
Lee has three dollars. Chris has three dollars. Lee and Chris wants to but their mom a gift. The gift costs five dollars and fifty cents. A gift tags costs twenty-eight cents. Lee and Chris each want to pay and equal amount for the gift and tag. What do Lee and Chris each pay for the gift and tag?
(PLEASE HELPPP I'LL GIVE YOU A LOT OF POINTS!!!)
Answers
Answer:
well... at the end theyd both end up with a quarter, they both pay
Step-by-step explanation:
3.25
Answer: They each should pay $2.89
Step-by-step explanation: This is because if you add the price for the gift and the tag together you get $5.78 and then if you divide that by two then you get your answer.
What is 48/25 simplified
Answers
Answer:
exact form - 48/25
decimal form - 1.92
mixed number - 1 23/25
Step-by-step explanation:
Invent measurements that would show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
Answers
Answer:
The answer is that when you put the LMN. You can rotate it. Then we know it is similar.
Using the rotation method of the triangle LMN show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
What is the similarity law for triangles?It is necessary to demonstrate compliance with the law to establish that two triangles are identical in both shape and size. The angles that correspond to those sides have the same congruence and the same ratio of sides.
It is given that the two triangles are triangle XYZ and triangle NLM.
Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.
Thus, triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
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The sum of two numbers is 9. If one number is subtracted from the other, the difference is −3. Find the two numbers.
Answers
Answer:
The numbers are 6 and 3
Step-by-step explanation:
Let the numbers be x and y
So their sum is x + y =9 (EQ. 1)
Their difference is x - y = -3 (EQ. 2)
Solve simultaneously using subtract method.
x-x=0, x is eliminated. y- -y = +2y since -x- is +.
so it is now 2y = 9- - 3:. 2y= 12; dividing both sides by 2. Y=6.
Substitute Y=6 in EQ 1 to find x.
So x + 6=9;. x=9-6 is achieved by collecting like terms. so x=3.
:. Y=6 and x=3. The numbers are 6 and 3
I think I was able to expantiate it well.
AB is a midsegment of trapezoid DEFG what is x?
Answers
Answer:
D. 2
Step-by-step explanation:
DEFG is a trapezoid and AB is its Midsegment.
Therefore,
[tex]AB =\frac{1}{2}(DG + EF) \\ \\ 12 = \frac{1}{2} (5x - 4 + 8x + 2) \\ \\ 12 \times 2= (13x - 2) \\ \\ 24 = 13x - 2 \\ \\ 24 + 2 = 13x \\ \\ 26 = 13x \\ \\ x = \frac{26}{13} \\ \\ x = 2[/tex]
A survey was conducted to determine people's chocolate preferences. The results are shown on the circle graph. If 500 people were surveyed, how many more people preferred dark chocolate over milk chocolate? A.115 B.125 C.135 D.150
Answers
Answer
B . 125
Step-by-step explanation:
20% of 500 is 100
45% of 500 is 225
Simply subtract 100 from 225, and its 125, so 125 people.
Brooke solved the equation below:
6r = 72
6r − 6 = 72 − 6
r = 66
Is Brooke's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (5 points)
Answers
Answer:
Incorrect because she was supposed to divide 6 on both sides to get the answer of 12.
Step-by-step explanation:
6r = 72
r = 72/6
r = 12
Hal and Renee play the following game: A bag has 14 tiles in it, , each with a letter from the phrase the probability on it. Hal and Renee take turns drawing a tile, recording the letter, and placing the tile back in the bag. Renee earns a point if she draws a vowel. Hal earns a point if he draws a consonant. They decide that the letter y can be a vowel or a consonant. Which statement best explains whether or not the game is fair?
A) The game is fair because both Hal and Renee will get a point if the letter y is drawn.
B) The game is not fair because the probability of Hal drawing a winning letter is more than the probability of Renee drawing a winning letter.
C) The game is fair because Hal and Renee have the same probability of drawing a winning letter.
D) The game is not fair because the probability of Hal drawing a winning letter is less than the probability of Renee drawing a winning letter.
(SOMEONE PLEASE HELP ME)
Answers
Answer:
B
Step-by-step explanation:
There are more consonants in the phrase than vowels so Hal has a better chance of pulling a winning letter. Also, before any tiles have been drawn, Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.
Option B is correct.
As given the bag has 14 tiles, each with a letter from the phrase the probability on it.
What is probability?
Probability is nothing but the ratio of number of favorable outcome and total number of outcomes.
Now,
As we know a phrase always consist of vowels and consonants and the number of consonants is always greater than vowels.
Therefore, Hal has better chance of pulling a willing letter. Also before any tiles have been drawn, so Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.
Hence, option B is the correct option.
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Brainliest for correct answer.
Answers
Answer:
First option
V = π [tex]r^{2}[/tex] h
Answer:
the first one
Step-by-step explanation:
Photo for the question I asked a few seconds ago please help
Answers
Answer:
9160.88
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
Answer:
A≈9160.88
Step-by-step explanation:
A=πr^2=π·54^2≈9160.88418
If a= 35 then find b
Answers
9514 1404 393
Answer:
35
Step-by-step explanation:
All of the marked angles subtend the same arc, so all have the same measure.
a = b = c = d = 35
b = 35