Are the following triangles similar by the angle-
angle similarity theorem?
A.No, the triangles don't have three angles.
B.Yes, one of the triangles is smaller than
the other.
C.Yes, two pairs of congruent angles are
marked.
D.No, the triangles don't share two pairs of
congruent angles.
Answers
Answer:
D. No, the triangles don't share two pairs of congruent angles.
Step-by-step explanation:
Two triangles can only be proven similar from the AA (Angle-Angle) similarity theorem if it can be deduced that they share two congruent angles.
In this case, both triangles share one angle, however no other angles can be deduced to be congruent. Therefore, the triangles cannot be proven similar from the AA similarity theorem because they do not share two pairs of congruent angles (corresponds with answer choice D).
Answer:
D.No, the triangles don't share two pairs of congruent angles.
Step-by-step explanation:
We know that angle M equals angle H and that angle I equals the unmarked angle.
We do not know that angle N equals angle O so we cannot state that the triangles are similar
Related Questions
Kayla, Devon and Maggie are working on translating verbal expressions into algebraic
expressions. The question on their assignment asks them to translate "seven less than four
times the square root of x".
Answers
9514 1404 393
Answer:
4√x -7
Step-by-step explanation:
Four times the square root of x is written 4√x. Seven less than that is found by subtracting 7:
[tex]4\sqrt{x}-7[/tex]
F(x) = 4x^3 + 7x^2-2x-1
G(x) = 4x-2
Find (f-g)(x)
Answers
Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?
3, –6, 12, –24, 48,
Answers
3, -6, 12, -24, 48
The recursive formula for this sequence is
f (n + 1) = -2 f(n)
at n=1 f(n)= 3
at n = 2
f(2)=-2 (3) = -6
n = 3
f(3) = -2 (-6) = 12 and so on
hope this helps !!!!
Answer:
f (n + 1) = -2 f(n)
Step-by-step explanation:
Which equation has a constant of proportionality equal to 2?
Answers
Answer:
[tex]{ \tt{y = 2x}}[/tex]
Answer:
2y=x
Step-by-step explanation:
Write the equation 5x – 2y = 10 in the form y = mx + b.
Answers
-2y=10-5x
-2y/-2=(10-5x)/-2
Y=5/2x-2
Suppose a sample of a certain substance decayed to 69.4% of its original amount after 300 days. (Round your answers to two decimal places.) (a) What is the half-life (in days) of this substance
Answers
Answer:
The half-life of this substance is of 569.27 days.
Step-by-step explanation:
Amount of a substance after t days:
The amount of a substance after t days is given by:
[tex]P(t) = P(0)e^{-kt}[/tex]
In which P(0) is the initial amount and k is the decay rate, as a decimal.
Suppose a sample of a certain substance decayed to 69.4% of its original amount after 300 days.
This means that [tex]P(300) = 0.694P(0)[/tex]. We use this to find k.
[tex]P(t) = P(0)e^{-kt}[/tex]
[tex]0.694 = P(0)e^{-300k}[/tex]
[tex]e^{-300k} = 0.694[/tex]
[tex]\ln{e^{-300k}} = \ln{0.694}[/tex]
[tex]-300k = \ln{0.694}[/tex]
[tex]k = -\frac{\ln{0.694}}{300}[/tex]
[tex]k = 0.0012[/tex]
So
[tex]P(t) = P(0)e^{-0.0012t}[/tex]
What is the half-life (in days) of this substance?
This is t for which P(t) = 0.5P(0). So
[tex]0.5P(0) = P(0)e^{-0.0012t}[/tex]
[tex]e^{-0.0012t} = 0.5[/tex]
[tex]\ln{e^{-0.0012t}} = \ln{0.5}[/tex]
[tex]-0.0012t = \ln{0.5}[/tex]
[tex]t = -\frac{\ln{0.5}}{0.0012}[/tex]
[tex]t = 569.27[/tex]
The half-life of this substance is of 569.27 days.
I need help with this
Answers
Answer: D
Step-by-step explanation:
When a coordinate is reflected over the y-axis, it changes from (x, y) to (-x, y)
The three coordinates of ΔCDE are
C = (-8, -1)D = (-6, -5)E = (-2, -4)After the y-axis reflection, they'll become:
C' = (-(-8), -1) = (8, -1)D' = (-(-6), -5) = (6, -5)E' = (-(-2), -4) = (2, -4)I hope this is correct :\
1. In a group, there were 115 people whose proofs of identity were being verified. Some hadpassport, some had voter id and some had both. If 65 had passport and 30 had both, how many had voter id only and not passport? .
Answers
Answer: 65 have passport and 30 have passport and voter ID so the remainder of people with voter ID only would be 20
Step-by-step explanation
At 2pm, the temperature was 9°F. At 11pm, the temperature was -11°F. What was the change in
temperature?
Answers
Answer:
21 degrees
Step-by-step explanation:
I did it on the calculator
Engineers are designing a large elevator that will accommodate 44 people. The maximum weight the elevator can hold safely is 8228 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 186 pounds and standard deviation 60 pounds, and the weights of adult U.S. women have mean 157 pounds and standard deviation 69 pounds.
a. If 44 people are on the elevator, and their total weight is 8228 pounds, what is their average weight?
b. If a random sample of 44 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?
c. If a random sample of 44 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded?
Answers
Answer:
a) Their average weight is of 187 pounds.
b) 0.4562 = 45.62% probability that the maximum safe weight will be exceeded.
c) 0.002 = 0.2% probability that the maximum safe weight will be exceeded
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
a. If 44 people are on the elevator, and their total weight is 8228 pounds, what is their average weight?
8228/44 = 187
Their average weight is of 187 pounds.
b. If a random sample of 44 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?
For men, we have that [tex]\mu = 186, \sigma = 60[/tex]
Sample of 44 means that [tex]n = 44, s = \frac{60}{\sqrt{44}}[/tex]
This probability is 1 subtracted by the p-value of Z when X = 187. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{187 - 186}{\frac{60}{\sqrt{44}}}[/tex]
[tex]Z = 0.11[/tex]
[tex]Z = 0.11[/tex] has a p-value of 0.5438.
1 - 0.5438 = 0.4562
0.4562 = 45.62% probability that the maximum safe weight will be exceeded.
c. If a random sample of 44 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded?
For women, we have that [tex]\mu = 157, \sigma = 69[/tex]
Sample of 44 means that [tex]n = 44, s = \frac{69}{\sqrt{44}}[/tex]
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{187 - 157}{\frac{69}{\sqrt{44}}}[/tex]
[tex]Z = 2.88[/tex]
[tex]Z = 2.88[/tex] has a p-value of 0.998.
1 - 0.998 = 0.002.
0.002 = 0.2% probability that the maximum safe weight will be exceeded
During a certain 9-year period, the Consumer Price Index (CPI) decreased by
45%, but during the next 9-year period, it decreased by only 5%. Which of
these conditions must have existed during the second 9-year period?
A. Deflation
B. Stagnation
C. Conflation
D. Inflation
Answers
Answer:
deflation ,,,,
Step-by-step explanation:
I hope it's helpful for you ☺️Deflation must have existed during the second 9-year period.
What is deflation?Deflation is a decrease in the general price level of goods and services in an economy over a period of time. This means that the purchasing power of money increases, as the same amount of money can buy more goods and services.
The opposite of inflation, which is an overall rise in the cost of goods and services over time, is deflation. Money loses value due to inflation, whereas it gains value due to deflation. Deflation can reduce demand for goods and services, though, if it lasts for a long time. This is because customers may put off purchases in expectation of cheaper costs. A downturn in economic activity may follow, which would be bad for the economy.
Given data ,
Deflation is a decrease in the general price level of goods and services in an economy over a period of time. A decrease in the Consumer Price Index (CPI) is a measure of deflation.
In the first 9-year period, the CPI decreased by 45%, which indicates a significant deflationary period. In the next 9-year period, the CPI decreased by only 5%, which still indicates a deflationary period, but not as severe as the previous one.
Hence , the process is deflation in the second year
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Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4 in
Answers
Given:
In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.
To find:
The length of the missing side.
Solution:
In a right angle triangle,
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.
Substituting Perpendicular = 8 inches and Base = 12 inches, we get
[tex]Hypotenuse^2=8^2+12^2[/tex]
[tex]Hypotenuse^2=64+144[/tex]
[tex]Hypotenuse^2=208[/tex]
Taking square root on both sides, we get
[tex]Hypotenuse=\sqrt{208}[/tex]
[tex]Hypotenuse=14.422205[/tex]
[tex]Hypotenuse\approx 14.4[/tex]
The length of the missing side is 14.4 inches. Therefore, the correct option is D.
Solve for x Solve for x Solve for x
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The two right triangles share angle A, so the similarity statement can be written ...
ΔABC ~ ΔADE
Corresponding sides are proportional, so we have ...
BC/DE = AB/AD
x/12 = 3/(3+9)
x = 3 . . . . . . . . . . multiply by 12
Answer:
x=3
this is correct!!!
James, Aimee and Zack have
weighed their suitcases. Each
weighs a prime number of
kilograms and the total weight
is 40kg.
an
What's the difference between
the lightest and heaviest
suitcase?
Answers
Answer:
29Kg
Step-by-step explanation:
P1=2Kg
P2=7Kg
P3=31Kg
P3-P1=29Kg
To find P1, P2 and P3 I started assigning the first prime number, 2, to P1 and tried to assign prime numbers to P2 and P3 so that the sum was 40, increasing them at each step.
I was lucky and I got the result after few steps :-)
Below, the two-way table is given for a
class of students.
Freshmen Sophomore
Juniors
Seniors
Total
Male
4
6
2
2
Female 3
4
6
3
Total
If a student is selected at random, find the
probability the student is a male given that it's
a sophomore. Round to the nearest whole
percent.
[?]%
Answers
Answer:
20%
Step-by-step explanation:
The total number of students is: 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30 (students)
The probability is: 6/30 = 1/5 = 0.2 = 20%
The probability that the student is a male given that he's a sophomore is approximately 60%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The probability that the student is a male given that it's a sophomore can be calculated using the formula:
P(male | sophomore) = P(male and sophomore) / P(sophomore)
The number of male sophomores is 6, and the total number of sophomores is 6+4=10.
So, the probability of selecting a sophomore is:
P(sophomore)
= (number of sophomores) / (total number of students)
= 10 / 23
The number of male sophomores is 6.
So,
The probability of selecting a male sophomore is:
P(male and sophomore) = 6 / 23
Therefore,
The probability that the student is a male given that it's a sophomore is:
P(male | sophomore)
= (6 / 23) / (10 / 23)
= 6 / 10
= 3 / 5
Rounding to the nearest whole percent, we get:
P(male | sophomore) ≈ 60%
Thus,
The probability that the student is a male given that he's a sophomore is approximately 60%.
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Help...I will give brainlist...but answer must be right
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?
a) Infinitely many solutions exist because the two situations describe the same line.
b)Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
c)No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
d)Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.
Answers
Answer:
The answer is C, no solution.
Step-by-step explanation:
Kids with cell phones: A marketing manager for a cell phone company claims that the percentage of children aged 8-12 who have cell phones differs from 52%. In a survey of 832 children aged 8-12 by a national consumers group, 449 of them had cell phones. Can you conclude that the manager's claim is true? Use the a 0.10 level of significance and the P-value method. 1. State the appropriate null and alternate hypotheses.2. Compute the test statistic.
Answers
Answer:
Low-value method
Step-by-step explanation:
consumers group
Find the percentile rank for each test score in the data set. 12, 28, 35, 42, 47, 49, 50 What value corresponds to the 60th percentile
Answers
Answer:
Percentile rank:
12 = 7th
28 = 21st
35 = 36th
42 = 50th
47 = 64th
49 = 79th
50 = 93rd
- Vth number i.e. 47 is the value that corresponds to the 60th percentile.
Step-by-step explanation:
As we know,
Percentile rank = [(Number of values below x) + 0.5]/total number of values * 100
For 12,
Percentile rank = [0 + 0.5]/7 * 100
= 7th
For 28,
Percentile rank = [1 + 0.5]/7 * 100
= 21st
For 35,
Percentile rank = [2 + 0.5]/7 * 100
= 36th
For 42,
Percentile rank = [3 + 0.5]/7 * 100
= 50th
For 47,
Percentile rank = [4 + 0.5]/7 * 100
= 64th
For 49,
Percentile rank = [5 + 0.5]/7 * 100
= 79th
For 50,
Percentile rank = [6 + 0.5]/7 * 100
= 93rd
Now,
n = 7
60th percentile = 60% of n
So,
60% of n = 60/100 * 7
= 0.6 * 7
= 4.2
After rounding it off,
5th value is the 60th percentile i.e. 47.
if f(x)=√x-x and g(x)=2x^3-√x-x find f(x)-g(x)
Answers
Answer:
2sqrt(x)-2x^3
Step-by-step explanation:
f(x) - g(x) = sqrt(x)-x-(2x^3)+sqrt(x)+x=2sqrt(x)-2x^3
The difference of the two functions f(x) and g(x) is -
f(x) - g(x) = [tex]-2x^{3} + 2\sqrt{x}[/tex]
We have - two functions of [tex]x[/tex] :
[tex]f(x)=\sqrt{x} -x\\g(x) = 2x^{3} - \sqrt{x} -x[/tex]
We have to find -
[tex]f(x)-g(x)[/tex]
What do you understand by the term - [tex]y=f(x)\\[/tex] ?The term [tex]y=f(x)[/tex] indicates that [tex]y[/tex] is expressed as a function of [tex]x[/tex], where [tex]x[/tex] is a independent variable and [tex]y[/tex] is a dependent variable which depends on [tex]x[/tex].
According to question -
[tex]f(x)-g(x)=\sqrt{x} -x - (2x^{3} - \sqrt{x} -x)\\f(x)-g(x)=\sqrt{x} -x-2x^{3} + \sqrt{x} +x\\f(x)-g(x)=-2x^{3} + 2\sqrt{x}[/tex]
Hence, f(x) - g(x) = [tex]-2x^{3} + 2\sqrt{x}[/tex]
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find the area of this unusual shape.
Answers
Answer:
104 m^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 10*8 = 80
Then find the area of the triangle
A = 1/2 bh = 1/2 (8) * 6 = 24
Add the areas together
80+24 = 104 m^2
I really need help please
Answers
Answer:
first question is D
second question is D .875
Step-by-step explanation:
35*2.5= 87.5
7 divided by 8= .875
Answer:
D 87.5 miles
D 0.875 = 7/8 so it is a decimal that terminates after 3 dp.
Step-by-step explanation:
We write;
Scale Inch x Miles
2.5 x 35 = 87.5 miles
Why??
87.5 miles is found when we use the scale of 35 miles = 1inch
Answer = D 87.5 miles
The second one we can either multiply by 7/8 or divide by 1-7/8 = 1/8 to show that;
1/ 1/8 = 0.125
1-0.125 = 0.875
Marta's bedroom floor is rectangular is 18 feet long and 15 feet wide. The height of the ceiling is 8 feet. She has 3 rectangular windows that are each 6 feet long and 4 feet wide. She will paint the entire room except the floor and the window. What is the area that Marta will paint?
Answers
9514 1404 393
Answer:
726 ft²
Step-by-step explanation:
The perimeter of the room is ...
P = 2(L+W) = 2(18 +15) = 66 . . . . ft
Then the gross wall area (including windows) is ...
A = LH = (66 ft)(8 ft) = 528 ft² . . . . gross wall area
The area of the 3 windows is ...
A = 3×LW = 3×(6 ft)(4 ft) = 72 ft² . . . . window area
The area of the ceiling is ...
A = LW = (18 ft)(15 ft) = 270 ft² . . . . ceiling area
__
Then the net area to be painted is ...
gross wall area + ceiling area - window area
= 528 ft² +270 ft² -72 ft² = 726 ft²
The area that Marta will paint is 726 ft².
Given m = 1/2 and the point (3, 2), which of the following is the point-slope form of the equation?
Answers
Answer:
The point-slope form is y - 2 = 1/2 (x - 3)
Step-by-step explanation:
The point-slope form is y - y1 = m (slope) (x - x1). All I did was plug the numbers in the correct locations to get my answer.
Find the missing side. Round your answer to the nearest tenth
Answers
Answer: Around 37.3
Step-by-step explanation:
[tex]tan(63)=\frac{x}{19} \\\\x=19*tan(63)=37.2895996...[/tex]
Answer:
37.3
Step-by-step explanation:
tan (63)=x/19
x=19×tan(63)=37.3
Find the arc length of the semicircle. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
Answers
Answer:
9.42
Step-by-step explanation:
The circumference of a circle is calculated using the following formula:
C=2πr (C: circumference, r : radius)
radius here is 6 and π is given as 3.14
2*(3.14)*6 = 18.84 now divide this by 2 to find the length of semicircle
18.84/2 = 9.42
Answer:
6π
Step-by-step explanation:
I’m honestly not the best at math, can someone help?
Answers
Answer:
1/8
Step-by-step explanation:
Using the factor tree, we see that there is 8 possible outcomes ( right hand side)
There is only 1 way to go from left to right and have 3 wins
P(3 wins) = good outcomes / total
=1/8
2 times the sum of a number Plus 8 is 26 what is the number
Answers
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
2(x + 8) = 26
Step 2: Solve for x
[Division Property of Equality] Divide 2 on both sides: x + 8 = 13[Subtraction Property of Equality] Subtract 8 on both sides: x = 5.
Bob wants to install a
solar panel on his roof to
heat water for his family. The
power company advertises a
35% savings to electric bills
with the installation of a solar
panel. If Bob's average
electric bill is $132.50 how
much could he save if he had
a solar panel?
a. $35.00
b. $46.38
c. $62.14
d. $100.35
Answers
Answer:
46.38
Step-by-step explanation:
all the answer are not same but buy calculating its the right answer
I need to know the answer and the work it asks for
Answers
Answer:
b 25x6 = 150
25 decreases every month so
150 decreses every 6 month
800-150
650 are the bees remaining after 6 month
Anthony steps on a bathroom scale that records his weight at 195 pounds. He immediately steps back onto the same scale, which records his weight at 205 pounds. It is MOST accurate to describe these scales as:
Answers
Answer:
Moving upwards with an acceleration.
Step-by-step explanation:
weight of the person = 195 pounds
Apparent weight = 205 pounds
As the weight increases so the scale is moving upwards with some acceleration.
The scale is in elevator which is moving upwards.
