Answers
The scale factor in the image depicting a similar triangle is solved to be
1.4When are triangles said to be similar?The term similar triangles as used in geometry means that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence when the size of the triangles are in equal proportions and the size of the angles are equal then the triangles are said to be similar triangles
Examining the figure shows the scale factor is sought as follows
using side 28
let the scale factor form smaller to larger be k
k = length of larger side / length of smaller side
k = 28 / (28 - 8)
k = 28 / 20
k =1.4
The scale factor is 1.4
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Related Questions
Can the triangles be proven similar by AA?
Question options:
A)
No, similar triangles cannot contain a pair of parallel lines.
B)
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
C)
Yes, because || .
D)
No, the triangles contain no angles marked congruent.
Answers
Answer:
No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
Step-by-step explanation:
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
What is similarity?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Both triangles are similar as,
∠QUR ≅ ∠TUS (vertical angles)
∠R ≅ ∠S (alternate interior angles).
So, By AA similarity criteria triangles are similar.
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What is the product of (2x-4)^2
Answers
Answer:
( 4x^2 -16x +16)
Step-by-step explanation:
The rule is the
the first term squared + (the first term * second term * 2) + second term^2
Breaking down Brown versus Whitman: Example 2 of the chapter 1 discusses an exit poll taken during the 2010 California gubernatorial election. The administrators of the poll also collected demographic data, which allows for further breakdown of the 3889 voters from whom information was collected. Of the 1633 voters registered as Democrats, 91% voted for Brown, with a margin of error of 1.4%. Of the 1206 voters registered as Republicans, 10% voted for Brown, with a margin of error of 1.7%. And of the 1050 Independent voters, 42% voted for Brown, with a margin of error of 3.0%.
Required:
a. Do these results summarize sample data or population data?
b. Identify a descriptive aspect of the results.
c. Identify an inferential aspect of the results.
Answers
Answer:
(A) Population data
(B) The figures
(C) The classification of votes by political party
Step-by-step explanation:
(A) These results summarize population data. The population is the total 3,889 voters from whom information was collected.
The samples would be
- Voters registered as Democrats (1,633)
- Voters registered as Republicans (1,206)
- Independent Voters (1,050)
The total of members in each sample equals the total number of people in the population.
(B) A descriptive aspect of the result is the figures or percentages. They describe how (in percentage) voters penned their votes for Brown and how they penned their votes for Whitman. NOTE: To get the percentage or fraction of those who voted for Whitman, simply subtract the percentage of Brown's supporters from a total of 100%.
(C) An inferential aspect of the results is the classification of votes by different parties (the samples are the different parties involved here). This helps to infer the sources of support for Brown and the sources of support for Whitman.
For example, if the total votes for Brown (in population result analysis) are low, the Republicans are the major reason why!
Write an equation of the line in point-slope form that passes through the given points.
(1,5) and (-5,4)
Answers
Answer:
y-5=1/6(x-1)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-5)/(-5-1)=-1/-6=1/6
slope is 1/6
y-y1=m(x-x1)
y-5=1/6(x-1)
8. Which of the following Mathematical expressions is equivalent to a cubed of a number x increased by
ten" ?
A. 3x + 10
B. 10x3
C. x3 – 10
D. x3 + 10
Answers
Answer:
B
Step-by-step explanation:
What is the y-intercept of the line?
Answers
Answer:
y=1/2x+2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
y intercept is 2
and slope is rise /run
taking points (0,2) and (2,3)
we get slope= 3-2/2-0=1/2
we know the eqaution is y=mx+b where m is the slope and b the y intercept
so y=1/2x+2 which is A/ the first one
if my answer helps please mark as brainliest
Jenee has a package of 30 cards. There are 5 orange cards
and 25 yellow cards.
If she randomly picks 6 cards, what is the best prediction
for how many cards should be orange?
Answers
Answer:
1/2 is the best prediction for the number of orange cards that Jenee could get
Step-by-step explanation:
Hope this helps :D
If it does help could I get brainliest?
please help me thank you in advance!
Answers
Answer:
4x + 5y = 20
Step-by-step explanation:
It is parallel to y = -4/5x + 6
Solve 12 - 4x = 44. Find the value of X
Answers
Answer:
x = -8
Step-by-step explanation:
We have the expression 12 - 4x = 44 and are asked to find the value of x.
To solve this, we need to isolate x, or get it by itself.
12 - 4x = 44
Subtract 12 from both sides :
-4x = 32
Divide -4 from both sides :
x = -8
x = -8
step by step
12 - 4x = 44
-4x = 44 - 12
-4x = 32
x = -8
todos los numeros naturales son enteros
Answers
Answer:
si, todos los números naturales son enteros
Elena had $50 in the bank on Monday. She had $56 on Tuesday. What was the percent of increase from Monday to Tuesday?
A.100 fish
B.40 fish
C.60 fish
D.80 fish
Answers
Answer:
c
Step-by-step explanation:
HELP ASAP!! Mrs. Walsh is in search of a birthday gift for her niece and decided to shop at Kohls. Mrs. Walsh just had a nice shopping spree there, therefore she had $15 Kohls cash to use. She also had a friends and family coupon for 25% off the entire purchase. Mrs. Walsh made sure to search the fine print and there was nothing noted saying she cannot use BOTH coupons. Which coupon should Mrs. Walsh use first, or does it matter? Will this always be the case? How do you know? Show your work.
Answers
Answer:
The best answer would be the 25% off the entire purchase. Say for example Mrs. Walsh was willing to spend 100$ that would be 25% dollars she saved. But when it comes to save the most amount of money. If she spends under 60 dollars use the 15 dollars off. If it’s over 60 use the 25% off coupon
What is the growth?
What is figure 0?
Y=( )X+( )
Can someone help me too those answers I have no clue
Answers
Answer:
Figure 0 = 67 Square Units
Step-by-step explanation:
Its correct, I took the test!
A math teacher was frustrated at the number of students leaving their graphing calculator behind in her classroom at the end of class without a way to locate the student. A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
Required:
What would be a 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators?
Answers
Answer:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148[/tex]
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
if x = 2 and y=1 then prove that (x-y)²=x²-2xy+y²
Answers
Answer\Step-by-step explanation:
0≤(x − y)^2 ⟹ 0≤x^2−2xy+y^2
⟹ 2xy≤x^2+y^2
⟹ xy≤ x2+y2\2
⟹ xy≤ x^2+y^2
since the clearly nonnegative real x^2+y^2
clearly satisfies x^2+y^2\2 ≤x^2+y^2.
The proof of the quadratic equation (x-y)²=x²-2xy+y² is given.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
Quadratic equation
(x-y)²=x²-2xy+y²
To prove the equation:
We substitute the value and see if LHS = RHS.
In the LHS,
LHS = (x-y)²
LHS = (2-1)²
LHS = 1
In the RHS,
RHS = x²-2xy+y²
RHS = 4 - 4 + 1
RHS = 1
LHS = RHS
Therefore, the theorem (x-y)²=x²-2xy+y² is proved.
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A rapid strep test is often given in a clinical setting so that, if needed, antibiotics can begin as soon as possible. Researchers at Cochrane.org evaluated the effectiveness of rapid strep tests and found that one type had a sensitivity (ability to correctly detect people with strep) of 85.4% and a specificity (ability to correctly identify people who do NOT have strep) of 95%
Fill in the following chart, assuming that you have a group of 10,000 people, 15% of whom actually have strep throat.
Patient is given a rapid strep test
Result is positive Result is negative totals
Has strep throat
Does not have strep
Totals 10,000
For a population of patients similar to those described in the stem of this problem, use the chart find each of the following probabilities. Write you answer as an abbreviated probability statement with your answer to four decimal places without using a percent symbol. For example, P(strep) = 0.15
A) The probability that a randomly chosen patient has strep throat and tests positive
B) The probability that a randomly chosen patient tests positive for strep throat.
C) The probability that a randomly chosen person actually has strep throat, given that they have tested positive.
Answers
Answer:
Follows are the responses to this question:
Step-by-step explanation:
Follows are the table to this question:
[tex]positive \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ negative \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ total[/tex]
[tex]\text{strep value} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1281\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 219 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1500 \\\\[/tex]
[tex]\text{not the strep value} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 425 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8075 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8500 \\\\ \text{total} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1706 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8294 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 10000 \\\\[/tex]
In point a:
[tex]P( \text{step and positive test}) = \frac{1281}{10000}=0.1281[/tex]
In point b:
[tex]P(\text{positive test}) =\frac{1706}{10000} =0.1706[/tex]
In point c:
[tex]P \text{(strep | positive test)} =\frac{1281}{1706} =0.7509[/tex]
The area of one face of a cube is 25 square centimeters. What is the volume, in cubic centimeters, of the cube?
Answers
Answer:
125 cubic cm
Step-by-step explanation:
Length^2 = 25 so each side length is 5cm
5^3 = 125 cubic cm
what is ask in the problem
Answers
please help me get this answer
Answers
Answer:
Step-by-step explanation:
Due to similarity in Tri ABC and ADE so,
[tex]\frac{AD}{AB} =\frac{DE}{BC} =\frac{AE}{AC}[/tex]
[tex]AE=28.2*\frac{20}{24} =23.5cm[/tex]
[tex]EC=AC-AE =28.2-23.5=4.7cm[/tex]
If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor
of 3, what is the equation of the new function?
O A. g(x) = x²
O B. g(x) = (3x)2
C. g(x) = 3x2
O D. g(x) = (3x)2
Answers
Answer:
g(x)=(1/3x)² .................
Evaluate the expression when c=2 and y=-6.
-c+by
0
Х
?
Answers
Answer:
-38
Step-by-step explanation:
-c + 6y
= -(2) + 6 (-6)
= -2+(-36)
= -2 - 36
= -38
Please help this is due today!
Answers
Answer:
a. True
b. True
c. False
d. False
e. Both
Step-by-step explanation:
a. Explanation: each triangle is composed of three interior angles and three sides which can be of the same length or different lengths
b. Explanation: isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of degrees
c. Explanation: The sum of the measures of the angles is always 180 degrees so that means it is not possible.
d. Explanation: exterior angles of a triangle is greater than either of the measures of the remote interior angles so This is a fundamental result in absolute false because its Interior does not depend upon the Angles
e. Explanation: Eh, There's really no explanation for this So, It's both.
Help plsssssssssssssssssssssss
Answers
Answer:
Okay, whats your question?
Step-by-step explanation:
50% of 25% of a number x is
A- one eighth of X
B- half of X
C- one fourth of X
D- three fourth of X
Answers
Answer:
The word "of" in mathematical terms means multiplication. The word "is" means equal. This would be translated into 50% x 25% x X = or 0.50 x 0.25 x X =. 0.50 times 0.25 = 0.125. Putting 0.125 into a fraction, it would be 125/1000. Simplify this fraction to get 1/8. So, the answer would be A.
A hexagon can be divided into 4 non-overlapping triangles. Which is the sum of the interior angles of a hexagon?
Answers
Answer:
12
Step-by-step explanation:
4 time 3 =12
Which expression is equivalent to 7m + 5 + 6 + 3m?
A. 13m + 8
B. 10m + 11
C. 4m + 11
D. 4m + 8
PLEASE HELP ASAP
Answers
Answer:
B.10m + 11
....................
First, rearrange the equation so that it’s easier to simplify it. This will give you
7m+3m+5+6
7m+3m is 10m and 5+6 is 11
Therefore, the answer is B) 10m+11.
x^2 and -x^2 for x =-3
Answers
Answer:
9 and -9
Step-by-step explanation:
x^2:
all you have to do is (-3)^2 = -3 * -3 = 9
-x^2:
this would be -(-3)^2
the order of operations says to do exponents first, so you would have:
-(9) or -9
please help with my math homework
Answers
Answer:
sorry for that
Step-by-step explanation:
image is so unclear can't even read
Help pls asap I really need help this is confusing
Answers
Multiply. Write your answer in simplest form. 1/9 x 3/10
Answers
Answer:
1/30
Step-by-step explanation:
When you multiply fractions, you just muliply across,
1*3= 3
9*10= 90
you now have 3/90 but you have to simplify, we know 3 goes into 3 and it also goes into 90 equally
3/3= 1
90/3= 30
So your answer is 1/30!!
I hope this helps!!!!!!!!!!!