Answers
Hello there!
The answer is the first option.
Remember that congruent = same size and same shape, and this is the only option that has both of those things. In the second and forth options, the sizes are different making those options not correct. In the 3rd option, the shape is slightly different since one triangle is not as stretched out as the other.
I hope this was helpful and have a great day!
Since the two sides and one angle in figure 1 are the same as a result they are congruent.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
While the similarity law for triangles is defined as the law to prove that two triangles have the same shape, it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
Thus, the two sides and one angle in figure 1 are the same as a result they are congruent.
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Related Questions
a circle with center (4 -3) contain the point (9,-3). what is an equation of the circle
Answers
Answer:
[tex]\large\boxed{(x-4)^2+(y+3)^2=25}[/tex]
Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the center (4, -3) and the point on the circle (9, -3).
The length of radius is equal to the distance between a center and an any point on a circle.
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Susbtitute:
[tex]r=\sqrt{(9-4)^2+(-3-(-3))^2}=\sqrt{5^2+0^2}=\sqrt{5^2}=5[/tex]
The center (4, -3) → h = 4, k = -3.
Finally we have:
[tex](x-4)^2+(y-(-3))^2=5^2\\\\(x-4)^2+(y+3)^2=25[/tex]
HELP
For the parallelogram, find coordinates for P without using new variables.
Answers
Answer:
(a + c, b)
Step-by-step explanation:
First the easy part... the Y-value.
There's an horizontal line where the P is... that line has a point identified (a,b). So, the Y-value of P is b.
Now the X-value.
You see that P is a bit right to c, so it's something more than c, but how much? If you look, P is as right to C as a is to the origin. Since we know it's a parallelogram, the line that goes from origin to (a,b) is parallel to the one going from C to P.
So the X-value of point P is: c + a
I NEED HELP!
You pick a card at random. Without putting the first card back, you pick a second card at random. There're 3 cards. One is 7, one is 8, and the other is a nine. What is the probability of picking a 7 and then picking a number greater than 7? (Write the probability as a fraction or whole number.)
Answers
The probability of picking a 7 and then picking a number greater than 7 is [tex]\dfrac{1}{3}[/tex] or [tex]0.\overline{3}[/tex].
ProbabilityProbability shows us the chances of an event occurring.
[tex]\bold{Probability =\dfrac{Desired\ Outcome}{Total\ number\ of\ outcomes\ possible}}[/tex]
Now, given that we have already picked three cards. therefore, 7, 8, and 9.
The number of possible outcomes is 3.
the probability of card 7,[tex]\bold{Probability(7) =\dfrac{Number\ 7(1)}{Total\ number\ of\ outcomes\ possible (3)}= \dfrac{1}{3}}[/tex]
Now, as card seven is already picked up cards 8 and 9 are the only card left.
therefore, the sample size(possible outcomes) was reduced to 2 only.
Also, cards 8 and 9 both are greater than 7, thus the desired outcome is also 2.
Further the probability of the number greater than 7 occurring,
[tex]\bold{Probability(n>7) =\dfrac{cards\ 8\ and\ 9(2)}{Total\ number\ of\ outcomes\ possible (2)}= \dfrac{2}{2} = 1}[/tex]
Probability picking a number greater than 7The probability of picking a 7 and then picking a number greater than 7
= Probability of card 7 occuring x probability of card 8 and 9 occurring
[tex]=\dfrac{1}{3}\times 1[/tex]
[tex]=\dfrac{1}{3}[/tex]
Hence, the probability of picking a 7 and then picking a number greater than 7 is [tex]\dfrac{1}{3}[/tex] or [tex]0.\overline{3}[/tex].
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if the long tail is to the right, the distribution of the data is said to be:
A. a symmetric distribution
B. a negatively skewed distribution
C. a positively skewed distribution
D. none of the choices are correct
Answers
Answer:
Negatively skewed.
Step-by-step explanation:
In a negatively skewed distribution, the mode is greater then the median, and the median is greater then the mean. Overall, the majority of the data is to the right, which means that the distribution of data is skewed to the left, or negatively skewed.
Answer: Hence, Option 'C' is correct.
Step-by-step explanation:
As we know that if one tail is longer than the other, the distribution is said to be skewed.
And there are two types of skewed distribution :
1) Negatively skewed
2) Positively skewed
It depends on the direction of the long tail.
If the long tail is to the right , then it is said to be positively skewed distribution.
If the long tail is to the left , then it is said to be negatively skewed distribution.
According to question, the distribution here is a positively skewed distribution.
Hence, Option 'C' is correct.
Help with the 2 question .. 20 points
Answers
Answer:
see explanation
Step-by-step explanation:
c = a - 2b
= < 4, 5, 6 > - 2 < 1, 2, 3 > ← multiply each component by 2
= < 4, 5, 6 > - < 2, 4, 6 > ← subtract corresponding components
= < 4 - 2, 5 - 4, 6 - 6 > = < 2, 1, 0 >
| c | = [tex]\sqrt{2^2+1^2+0^2}[/tex] = [tex]\sqrt{4+1+0}[/tex] = [tex]\sqrt{5}[/tex]
-------------------------------------------------------------------------------------------------
sum the product of corresponding components
u.v = (3 × 2) + (- 2 × - 1) + (4 × - 6) = 6 + 2 - 24 = - 16
Which equation could you use to solve for x in the proportion 4/5=9/x
20 points!!!!!!
Answers
Answer:
4x=45
Step-by-step explanation:
Cross multiply to get a simplified equation.
4/5=9/x
4x=45
x=11.25
Answer:
Step-by-step explanation:
4/5=9/x
cross multiphication
x=9*5/4
x=45/4
What transformation of Figure 1 results in Figure 2.?
Select from the drop-down menu to correctly complete the statement.
A of Figure 1 results in Figure 2.
Answers
Answer: rotation
Step-by-step explanation:
a rotation about 90degrees
The transformation of Figure 1 results in Figure 2 is Rotation.
What is Transformation?A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure. The Pre-Image is the original shape of the object, and the Image during the transformation is the final shape and location of the object.
Transformations in geometry are categorized into three;
TranslationRotationReflectionScaling/DilationAs we translate, we move a figure in any direction.
When we flip a figure over a line, we call this reflection.
When we rotate a figure a given amount around a point, we call this rotation.
As we dilate, we enlarge or contract a figure.
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What are the solutions to the equation e^1/4x =|4x|
Answers
Answer:
x=0.27
Step-by-step explanation:
The given expression is
[tex]e^{\frac{1}{4}x}=|4x|[/tex]
To solve this equation, we graph the functions:
[tex]f(x)=e^{\frac{1}{4}x}[/tex]
and
[tex]g(x)=|4x|[/tex]
From the graph, the two curves intersects at x=-0.24 and x=0.27.
But the domain of the logarithmic function is x>0
Therefore x=0.27
-0.25 and 0.25.
That is already estimated.
I NEED THIS ASAP!!!!!!!
Answers
Answer:
Its only 5 times larger!
Step-by-step explanation:
5 x 10*5= 500000
1 x 10*5= 100000
1 x 10*5 x 5 = 500000
A survey was done to determine how many people between the ages of 6 and 25 have downloaded a new song. The results are displayed in the histogram below.
Which statements is correct?
The mode is people aged 11 - 15
The mode is people aged 16 - 20
The mode is people aged 21 - 25
Answers
Answer:
16-20
Step-by-step explanation:
Mode is the one that happens the most and 16-20 has the highest bar
The mode is in people of age between 16- 20 , Therefore Option B is the answer.
What is Mode ?Mode is the measure of central tendency of data , It is the value that is occurring continuously in a data set.
A histogram is given in the question ,
As from the definition mode is the value which is occurring repeatedly in the data , The mode is in people of age between 16- 20 , Therefore Option B is the answer.
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Which decimal is equivalent to 8/11?
Answers
Answer:
.72 or .73 which ever one is on your sheet
Step-by-step explanation:
Answer:
0.72 or 0.73
Step-by-step explanation:
8/11 expressed as a decimal is 0.72 or 0.73
Please help!
Express the series using sigma notation. 8 + 10 + 12 + ... + 24.
Answers
Answer:
C
Step-by-step explanation:
Number on top: largest value of k
On the right: the expression for k
Bottom: the first number for k
So,
1. 2³ = 8, but k can not be 3, so it can't be A or B.
2. 8 ÷ 2 = k, which means that the first k should be 4.
So, the answer is C.
Answer:
C
Step-by-step explanation:
Please help I will give BRAINLIEST
Answers
Pages Minutes
15 1
45 3
75 5
300 20
600 40
15 x 2= 39
45x 2= 90
75x2=150
30x20=60
600 x 2 = 1,200
What is the length of YA ?
Answers
AYZ is a right triangle (we're given that YA is perpendicular to XZ). So, we can use the pythagorean theorem to find the missing side:
[tex]YA^2+AZ^2=YZ^2[/tex]
But we're also given [tex]YZ = 2AZ[/tex], so we have
[tex]YA^2+AZ^2=(2AZ)^2=4AZ^2[/tex]
Since AZ is half of YZ, which is 10, we deduce AZ=5.
Solving for YA, we have
[tex]YA^2+AZ^2=4AZ^2 \iff YA^2 = 3AZ^2 \iff YA = AZ\sqrt{3} = 5\sqrt{3}[/tex]
Two different antibiotics can be used to treat an infection. Treatment with antibiotic 1 is known to be successful 80% of the time. This treatment costs $80. Antibiotic 2 is successful 90% of the time and costs $100. The two treatment plans are: Plan A: Treat with antibiotic 1. If not effective, treat with antibiotic 2. Plan B: Treat with antibiotic 2. If not effective, treat with antibiotic 1. Based on the data provided, what is the probability that a patient treated under plan A will be successfully treated?
A. 0.98
B. 0.72
C. 0.80
D. 0.90
Answers
Answer: Option A
A. 0.98
Step-by-step explanation:
Plan A consists of:
Plan A: treat with antibiotics 1. If not effective, treat with antibiotics 2
Antibiotic 1 has a probability P (1) of 0.8 to be effective
Antibiotic 2 has a probability P (2) of 0.9 to be effective.
For a patient to be treated successfully with plan A it can happen that:
The antibiotic 1 works, or that the antibiotic 1 does not work but the 2 antibiotic if it works.
So the probability that plan A works is:
[tex]P = P (1) + P (not\ 1) P (2)\\\\P = 0.8 + (1-0.8) (0.9)\\\\P = 0.8 + 0.2 * 0.9\\\\P = 0.98[/tex]
The probability of a patient being successfully treated under plan A, which involves treatment with antibiotic 1 and then antibiotic 2 if the first fails, is 0.98, or 98%.
Explanation:
The probability that a patient treated under plan A will be successfully treated is calculated by summing the probabilities of success in each step. Initially, the patient is treated with antibiotic 1 which has an 80% success rate. If this fails (which will happen 20% of the time), then the patient is treated with antibiotic 2 which has a 90% success rate. This 90% will only occur, though, for the remaining 20% of patients who failed the initial treatment. Thus, we calculate this like so: Probability(successful treatment under plan A) = (successful treatment with antibiotic 1) + ((failed treatment with antibiotic 1)*(successful treatment with antibiotic 2)) = 0.8 + (0.2*0.9) = 0.98. Therefore, the probability of successful treatment under plan A equals 98% or 0.98, which corresponds to Choice A.
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John ran the 100-m dash with a time of 9.87sec. If this pace could be maintained for an entire 26-mi marathon, what would his time be? (Notice that 1 m ≈ 3.281 ft and 1 mi = 5280 ft.)
Hr____
Minutes____
Seconds____
Answers
Answer:
1 hour
8 min
49 sec
Step-by-step explanation:
we know that
1 m=3.281 ft
1 mi=5,280 ft
Convert 26 mi to ft
26 mi=26*5,280=137,280 ft
Convert 137,280 ft to m
137,280 ft=137,280/3.281=41,840.90 m
using proportion
9.87/100=x/41,840.90
x=41,840.90*(9.87)/100
x=4,129.70 sec
Remember that
1 hour=3,600 sec
1 hour=60 min
1 min=60 sec
4,129.70 sec=4,129.70/3,600= 1.147 h
0.147*60=8.82 min
0.82*60=49 sec
therefore
1 hour
8 min
49 sec
John could maintain his 100-m dash pace for an entire 26-mi marathon, his time would be 1 hour, 8 minutes, and approximately 50 seconds.
First, we need to convert John's 100-meter dash time into a pace that can be extrapolated over the marathon distance. Given that John ran a 100-m dash in 9.87 seconds, we need to find out how many meters he runs per second. This would be 100 m / 9.87 s = 10.13 meters per second.
Next, we convert the marathon distance from miles to meters. As there are 5280 feet in a mile and 3.281 feet in a meter, there are 5280 / 3.281 = 1609.34 meters in a mile. The marathon distance is therefore 26 miles * 1609.34 meters/mile = 41842.84 meters.
Using John's pace, we can calculate the time it would take to run the marathon: 41842.84 meters / (10.13 meters/second) = 4129.64 seconds.
Finally, we convert the total seconds to hours, minutes, and seconds. There are 3600 seconds in an hour and 60 seconds in a minute:
Hours: 4129.64 sec / 3600 sec/hr = 1.147 hours (1 hour)Minutes: (4129.64 sec - 1 hour × 3600 sec) / 60 sec/min = 8.827 minutes (8 minutes)Seconds: 4129.64 sec - 1 hour × 3600 sec - 8 minutes × 60 sec = 49.64 seconds (approximately 50 seconds)Therefore, if John could maintain his 100-m dash pace for an entire 26-mi marathon, his time would be 1 hour, 8 minutes, and approximately 50 seconds.
Can I have a explaination of what the mathmatical term 'permutation' is.
15 points
Answers
Answer:
In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting. These differ from combinations, which are selections of some members of a set where order is disregarded.
Step-by-step explanation:
I don't get how to do this ration help me I need this finished
answer part A and B
Answers
For part two using what we already know can you figure out the length of the segment?
answer D) 24
subtract: (2x^2-7x+5)-(-6x^2-4x-2)
A. -4x^2-11x+3
B. -4x^2-5x+3
C. 8x^2-13x+7
D. 8x^2-3x+7
Answers
Answer:
[tex]\large\boxed{D.\ 8x^2-3x+7}[/tex]
Step-by-step explanation:
[tex](2x^2-7x+5)-(-6x^2-4x-2)\\\\=2x^2-7x+5-(-6x^2)-(-4x)-(-2)\\\\=2x^2-7x+5+6x^2+4x+2\qquad\text{combine like terms}\\\\=(2x^2+6x^2)+(-7x+4x)+(5+2)\\\\=8x^2-3x+7[/tex]
Answer:
8x^2-3x+7
Step-by-step explanation:
By simplifying the expression.
[tex] {7}^{2} - 3 + 9 \times 8 \div 2 \\ w = [/tex]
Answers
Answer:
82
Step-by-step explanation:
49 - 3 + 72/2
= 46 + 36
= 82
For this case we must find the value of the following expression:
[tex]7 ^ 2[/tex]-3 + 9 * 8÷2 =
According to the PEMDAS algebraic order of operations:
P: Perform any calculation within parentheses
E: Simplify any exponential expressions.
MD: Do all the multiplications and divisions, from left to right, as they appear.
AS: Do all the addition and subtraction, from left to right, as they appear.
So:
49-3 + 9 * 8÷2 =
49-3 + 72÷2 =
49-3 + 36 =
46 + 36 =
82
ANswer:
82
you are miguel cervantes de navas y colin, captain in the royal spanish army in sevilla in the year 1842. Outside your barracks window is a stack of cannonballs. on an idle afternoon you decide to calculate the number on cannonballs. what is the number of the cannonballs?
Answers
Answer: it’s 506
Step-by-step explanation:
The number of cannonballs in the stack exists at 650. Since the stack is in the formation of the square pyramid the total number of balls can be acquired by utilizing the formula for discovering the total number of spheres in the square pyramid.
How to calculate the total number of cannon balls?Find the number of cannonballs in the stack:
Given that the pyramid stands a square pyramid and the numeral of balls that form the side of the square exists 12.
By utilizing the formula of a square pyramid,
n(n+1)(2n+1)/6
12(12+1)(2(12)+1)/6
12(13)(25)/6
2*13*25
=650
Therefore the number of cannonballs in the stack exists at 650.
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Select the system of linear equations that has the solution (-6, 0).
A. X+ Y=0
X+y=-6
B.X+2y=-6
X-2y=-6
C. x-6y=1
-6x+y=4
D.4x+3y=-18
x-2y=12
Answers
Answer:
B.
• x+2y=-6
• x-2y=-6
Step-by-step explanation:
Try the solution in the equations and choose the set of equations that is true.
___
A. -6+0 ≠ 0 . . . not this system
__
B. -6 +2·0 = -6 . . . true
-6 -2·0 = -6 . . . true . . . . . this system has solution (-6, 0)
__
C. -6 -6·0 ≠ 1 . . . not this system
__
D. 4(-6)+3·0 ≠ -18 . . . not this system
20 POINTS
Which property or postulate justified the statement below?
"If WX=YZ, then WX+RS=YZ+RS"
A. Transitive Property of Equality
B. Addition Property of Equality
C. Segment Addition Postulate
D. Substitution Property of Equality
Answers
Answer:
A because they are opposites.
Step-by-step explanation:
They equal the same they are just swapped the 2 set of numbers are the same but the first set of numbers are different when you add them they become the same number in the end :) hope this helps
B. Addition Property of Equality justified the statement,
"If WX=YZ, then WX+RS=YZ+RS".
What are the properties of equality?Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.
There are four types of properties of equality.
Addition property, when two equal quantities are increased by a common value, the equality is preserved.
Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.
Subtraction property, equality is maintained when a common term is subtracted from two equal terms.
Multiplying by a common term do not alter the equality, according to the multiplication property of equality.
Given, An equation WX = YZ, Now, In this expression WX + RS = YZ + RS
We have added RS to both side of the equation to maintain the equality sign.
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Juan ordered 4 CDs for $48.96, which includes a $5.00 shipping charge. If each CD was the same price, what was the cost of each CD? Worth 20 pls answer ASAP
Answers
Answer:
Each CD would be $10.99
Step-by-step explanation:
$48.96-5.00=43.96
43.96/4= 10.99
Answer:
The answer is $12.24 each CD. I just did this for my assessment. Looks like we are in the same online school program :D
Step-by-step explanation:
$48.96/4 = $12.24
you can check your answer by doing
$12.24 x 4
A pet store owner wants to know what type of pet foods her customers prefer. At the bottom of each receipt, she provides a phone number for her customers to call in and answer survey questions. of the 94 responses, she found that 9 prefer orgianic pet food. She concludes that about 10% of her customers would prefer to feed organic food to their pets. Is this conclushion valid? Justify your answer.
Answers
yes, if you do 94/9 you get about 10%. this determines that out of all 94 responses, by dividing it by the 9 people who prefer organic food, you get 10.444 percent which is approximately 10%
The pet store owner's conclusion about her customers' preference for organic pet food is not entirely valid due to the small sample size and potential bias in her survey results. For more accurate conclusions, she should get responses from a larger, more diverse group of customers.
Explanation:The pet store owner's conclusion is not entirely valid because it is based on the assumption that the 94 responses she received are representative of her entire customer base. While 9 out of 94 responses did indicate a preference for organic pet food, this is a small sample size and may not accurately reflect the preferences of all customers. For a more accurate estimate, she would need to collect responses from a larger and more diverse group of customers, to allow the results to be more statistically significant.
A small sample size can lead to inaccuracies or bias in survey results. In addition, because these customers self-selected to respond tot he survey, they may not represent the full spectrum of her customers. This type of bias is known as a self-selection bias.
So, while it's a starting point, further sampling and more robust survey methods would help strengthen the validity of her conclusions about her customers' pet food preferences.
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(15 points ) PLEASE HELP ASAP! Also please show your work! Solve.
Use the quadratic formula. Write solutions in simplist radical form. 2x^2+2x-1=0
Answers
Answer:
Step-by-step explanation:
ax^2+bx+c
-b +- sqaure root of b^2 -4ac/2a
-2 +- square root (2)^2-4(2)(-1)/2(2)
-2 +- square root 4+8 /4
-2 +- 2 square root 3 /4
reduce
-1 +- square root 3/2
Answer:
[tex]\large\boxed{x=\dfrac{-1-\sqrt3}{2}\ or\ x=\dfrac{-1+\sqrt3}{2}}[/tex]
Step-by-step explanation:
The quadratic formula of a quadratic equation:
[tex]ax^2+bx+c=0[/tex]
Discriminant of a Quadratic is [tex]\Delta=b^2-4ac[/tex]
If Δ < 0, then an equation has no real solution (has two complex solutions)
If Δ = 0, then an equation has one real solution [tex]x=\dfrac{-b}{2a}[/tex]
If Δ >0, then an equation has two real solutions [tex]x=\dfrac{-b\pm\sqrt{\Delta}}{2a}[/tex]
==========================================
We have the equation:
[tex]2x^2+2x-1=0\\\\a=2,\ b=2,\ c=-1[/tex]
Substitute:
[tex]\Delta=2^2-4(2)(-1)=4+8=12>0\\\\\sqrt\Delta=\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3[/tex]
[tex]x=\dfrac{-2\pm2\sqrt3}{(2)(2)}=\dfrac{-2\pm2\sqrt3}{4}[/tex] simplify by 2
[tex]x=\dfrac{-1\pm\sqrt3}{2}[/tex]
What is the square root of -1
Answers
Answer:
1?
Step-by-step explanation:
Answer:
The answer is i
Step-by-step explanation:
[tex] \sqrt{ - 1} = i[/tex]
What is the 100th term of a sequence with a1=222 and d=-5
Answers
Answer:
- 273
Step-by-step explanation:
The n th term of an arithmetic sequence is
• [tex]a_{n}[/tex] = a₁ + (n - 1)d ← substitute in values
[tex]a_{100}[/tex] = 222 + (99 × - 5 ) = 222 - 495 = - 273
Find the surface area of the following rectangular prism.
surface area = ft2
Answers
There are 2 sides that are 2 x 1 = 2 ft^2 each
2 sides are 1 x 8 = 8 ft^2 each
And 2 sides 2 x 8 = 16 ft^2 each
Total surface area = 2 + 2 +8+ 8 +16 + 16 = 52 ft^2
Answer: [tex]\text{Surface area =}52\text{ ft.}^2[/tex]
Step-by-step explanation:
The surface area of a rectangular prism is given by :-
[tex]S.A.=2(lw+wh+lh)[/tex], where l is length, w is width and h is height of prism.
From the given picture, length =2ft
height = 8 ft.
width = 1 ft
Then , the surface area of prism will be :-
[tex]S.A.=2((2)(1)+(1)(8)+(8)(2))\\\\\Rightarrow\ S.A.=2(26)\\\\\Rightarrow\ S.A.=52\text{ ft.}^2[/tex]
Can someone help me with this problem
Answers
Answer:
C = 20.65 + 0.75M
Step-by-step explanation:
Given in the question that,
standard charge by the rental company = S = 16.95 + 0.60M
insurance charge by the rental company = I = 3.70 + 0.15M
Total charge C = S + I
16.95 + 0.60M + 3.70 + 0.15M = C
20.65 + 0.75M = C
So the equation which represent total charge that includes insurance in terms of M is
C = 20.65 + 0.75M