Which theorem can you use to show that the quadrilateral on the tile floor is a parallelogram?
4
-Parallelogram Opposite Sides Converse
-Parallelogram Opposite Angles Converse
-Opposite Sides Parallel and Congruent Theorem
-Parallelogram Diagonals Converse
Answers
Answer: Parallelogram Opposite Sides Converse
Step-by-step explanation:
There are 2 pairs of opposite congruent sides.
Related Questions
The function y = 58. 7(1. 03)^t gives a country’s population, y (in millions), where t is the number of years since January 1994. According to this function, what was the approximate population of the country in January 2002
Answers
Answer:
Approximate population ≈ 74.36 million.
Step-by-step explanation:
The given problem involves modeling of an exponential growth or decay function of a population.
Definition:Exponential growth ( relative growth ) occurs when a population grows or increases exponentially by the same factor, over the same amount of time. Exponential decay occurs when a population decreases continuously by a constant factor, over the same amount of time.We can model the exponential growth of a population using the following Exponential Growth Model:
⇒ [tex]\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }[/tex]Where:
P( t ) = population after "t" years P₀ = initial population r = relative growth rate; positive "r" value means that the population is increasing; negative "r" value implies that the population is decreasing. t = time (typically in years)Solution:Based from the given equation, [tex]\displaystyle\mathsf{y\:=\:58.7(1.03)^t }[/tex] , we can infer that:
⇒ [tex]\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }[/tex] or [tex]\displaystyle\mathsf{y\:=\:P_0 (1\:+\:r)^t }[/tex]
Where:
P( t ) or y = population after "t" yearsP₀ = initial population = 58.7r = relative growth rate = 0.03 or 3% = the population is increasing (exponential growth).t = time (typically in years) = 8 years (difference between January 2002 and January 1994).Step 1: Substitute the given values into the Exponential Growth Model formula, and solve for P( t ) :
[tex]\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }[/tex]
⇒ [tex]\displaystyle\mathsf{P(8)\:=\:58.7 (1\:+\:.03)^8 }[/tex]
Step 2: Follow the order of operations, addition inside the parenthesis:
⇒ [tex]\displaystyle\mathsf{P(8)\:=\:58.7 (1.03)^8 }[/tex]
Step 3: Follow the order of operations, applying the exponent into the parenthesis (do not round off the digits inside the parenthesis):
⇒ [tex]\displaystyle\mathsf{P(8)\:=\:58.7 (1.266770081) }[/tex]
Step 4: Follow the order of operations, multiplying 58.7 (P₀) into the parenthesis:
⇒ [tex]\displaystyle\mathsf{P(8)\:\approx \:74.35940378\quad or \quad 74.36\:\:million}[/tex]
Final Answer:Therefore, the approximate population of the country in January 2002 is 74.36 million.
________________________Keywords:Exponential functions
Exponential growth
Exponential decay
Exponential growth model
____________________________
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(a) Complete the table.
There are 18 red counters in the bag.
(b) Work out the total number of counters in the bag.
Answers
Answer:
a) Red = 0.2 Blue= 0.4 and White =0.4
b) 90 counters in total
Step-by-step explanation:
a)Firstly we know that the probability of mutually exclusive events is equal to 1 and the question states that the probability of blue and white counter is the same so we subtract 1-0.2 = 0.8 and we divide that by 2 as a result 0.4 .
b) P= Favourable outcomes / total number of outcomes
P(red) = 0.2
total number of red counters = 18
0.2 = 18/t cross multiplying have 0.2t= 18
Dividing throughout by 0.2 having 90
The distance between slits on a diffraction grating is 0.60 mm, and one of the angles of diffraction is 0.30°. the light forms a second-order bright band. how large is the path difference? 1047 nm 1571 nm 3142 nm 6284 nm
Answers
The path difference if the distance between slits on a diffraction grating is 0.60 mm, and one of the angles of diffraction is 0.30° is 1.57 × 10⁻⁶ m.
What is constructive interference?When the maxima of two waves add up (the two waves are in phase), the amplitude of the resultant wave equals the total of the separate amplitudes, this is known as constructive interference.
We know that for constructive interference, therefore, the formation of bright fringe through a diffraction grating is given by:
d sin θ = n λ
where d is the distance between slits, θ is the angle of diffraction, n is the order of fringe, and λ is the path difference.
As it is given that the distance between slits on a diffraction grating is 0.60 mm, and one of the angles of diffraction is 0.30°, therefore, the path difference can be written as,
[tex]\begin{aligned}\lambda &= \dfrac{(d sin \theta)}{ n} \\\\&=\dfrac{0.60 \times 10^{-3 }m) \times sin (0.30)}{2}\\\\ &= 1.57 \times 10^{-6}\rm\ m\end{aligned}[/tex]
Hence, the path difference is 1.57 × 10⁻⁶ m.
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I need help solving this problem I'm stuck on.
Answers
Answer:
S = -90t + 550
Step-by-step explanation:
First we must note a few key things the question tells us:
1. The tickets sell at a constant rate, thus implying a linear relationship.
2. Tickets start selling at 10
3. The independent variable (t) is in hours after 10
4. The number of tickets (S) is declining, thus we should expect a negative gradient.
5. The number of tickets is our dependent variable since it is reliant on time.
y = mx+c is our general linear expression which we will call "Eq 0"
Lets substitute our knowns into this to find m and c. We know that "t" is independent and that "S" is dependent on "t" therefore, we know that our x-axis will be representing values for "t" and that our y-axis will represent values for "S"
We must use simultaneous equations to find m and c
Eq 1: 550 = m(0) + c -> 550 = c
Eq 2: 280 = m(3) + c -> 280 = 3m + c
From Eq 1. we already know that our y intercept is at 550.
To find our gradient, we must substitute our known (550 being the y-intercept) into the next equation.
Thus,
280 = 3m + 550
To isolate our variable (m) we subtract both sides by 550
280 - 550 = 3m + 550 - 550
-270 = 3m
To finally find m, we divide both sides by 3
-270/3 = 3m/3
-90 = m
Now we substitue both our knows into Eq 0, note that our gradient (m) is negative as expected.
y = -90x + 550
Or, in terms of S and t
S = -90t + 550
Find the size angle XYZ
Give your answer to 1 decimal place
Answers
Answer:
∠ XYZ ≈ 72.9°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan XYZ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{13}{4}[/tex] , then
∠ XYZ = [tex]tan^{-1}[/tex] ( [tex]\frac{13}{4}[/tex] ) ≈ 72.9° ( to 1 dec. place )
Need it sooner than later
A recent study of high school students shows the percentage of females and males who took advanced math courses. A simple random sample of high school students was interviewed. The students were asked whether they had taken an advanced math course. Of the 150 females, 53 answered yes, as did 89 of the 275 males.
Part A: Construct and interpret a 98% confidence interval for the difference in population proportions of females and males who took advanced math courses. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (8 points)
Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain. (2 points)
Answers
Using the z-distribution, as we are working with a proportion, it is found that:
A. The 98% confidence interval is (-0.082, 0.141), and it means that we are 98% sure that the true difference of the population proportions are in this interval.
B. Since 0 is part of the confidence interval, it does not give convincing evidence of a difference between the population proportions.
What is the mean and the standard error for the distribution of differences?For each sample, they are given by:
[tex]p_F = \frac{53}{150} = 0.3533, s_F = \sqrt{\frac{0.3533(0.6467)}{150}} = 0.039[/tex]
[tex]p_M = \frac{89}{275} = 0.3236, s_M = \sqrt{\frac{0.3236(0.6764)}{275}} = 0.0282[/tex]
Hence, for the distribution of differences:
[tex]p = p_F - p_M = 0.3533 - 0.3236 = 0.0297[/tex]
[tex]s = \sqrt{s_F^2 + s_M^2} = \sqrt{0.039^2 + 0.0282^2} = 0.048[/tex]
What is the confidence interval:It is given by:
[tex]p \pm zs[/tex]
98% confidence interval, hence, using a z-distribution calculator, the critical value is of z = 2.327.
Then:
[tex]p - zs = 0.0297 - 2.327(0.048) = -0.082[/tex]
[tex]p + zs = 0.0297 + 2.327(0.048) = 0.141[/tex]
The 98% confidence interval is (-0.082, 0.141), and it means that we are 98% sure that the true difference of the population proportions are in this interval.
Item b:
Since 0 is part of the confidence interval, it does not give convincing evidence of a difference between the population proportions.
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Please help ^^
Homework dued in 10min
Answers
Answer:
[tex]\sf x^3+6x^2+12x+8[/tex]
step-by-step explanation:
[tex]\rightarrow \sf \left(x+2\right)^3[/tex]
apply cubic formula: [tex]\bold{ \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3}[/tex]
[tex]\rightarrow \sf x^3+3x^2 * \:2+3x * \:2^2+2^3[/tex]
[tex]\rightarrow \sf x^3+6x^2+12x+8[/tex]
Lucy's school is selling 100 raffle-tickets to raise money for a new gymnasium. The grand-prize is a ten-speed mountain bike. Which word or phrase describes the probability that she will win the raffle if she buys 0 tickets?
\text{likely}likely
\text{unlikely}unlikely
\text{an equal chance or 50-50}an equal chance or 50-50
\text{impossible}impossible
attempt 1 out of 2
Tionna McGirt
Probability Language Level 1
Mar 21, 1:52:28 PM
Lucy's school is selling 100 raffle-tickets to raise money for a new gymnasium. The grand-prize is a ten-speed mountain bike. Which word or phrase describes the probability that she will win the raffle if she buys 0 tickets?
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Answers
She is unlikely to win the raffle because she didn’t buy any tickets.
Solve the following system of equations graphically on the set of axes below.
y = 2x – 1
x + 3y = 18
Answers
Answer:
(x, y) = (3, 5)
Step-by-step explanation:
To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.
The first equation can be graphed using the y-intercept of -1 and the slope of 2.
The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.
__
The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.
The solution is (x, y) = (3, 5).
5/4 × (3 × 1/4 I NEED HELP
Answers
Answer: 15/16
Step-by-step explanation:
5/4 * (3 * 1/4) =
Mutiply 3 * 1/4
5/4 * 3/4 =
Mutiply 5/4 * 3/4
5/4 * 3/4 = 15/16
Answer:
[tex]\frac{15}{16}[/tex]
Step-by-step explanation:
[tex]\frac{5}{4}\cdot \:3\cdot \frac{1}{4}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]
[tex]=\frac{5}{4}\cdot \frac{3}{1}\cdot \frac{1}{4}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{5\cdot \:3\cdot \:1}{4\cdot \:1\cdot \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3\cdot \:1=15[/tex]
[tex]=\frac{15}{4\cdot \:1\cdot \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1\cdot \:4=16[/tex]
[tex]\frac{15}{16}[/tex]
Hence, 15/16 is the correct Answer.
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Two hot-air balloons, one red and one blue, took off at the same time from different platforms. Each began ascending at a constant rate.
The following equation gives the height (in meters) of the red hot-air balloon as a function of time (in seconds).
h = \dfrac{1}{2} t + 4h=
2
1
t+4h, equals, start fraction, 1, divided by, 2, end fraction, t, plus, 4
The height (in meters) of the blue hot-air balloon as a function of time (in seconds) is given by the following table of values:
\text{Time}Timestart text, T, i, m, e, end text (seconds) \text{Height}Heightstart text, H, e, i, g, h, t, end text (meters)
444 555
666 666
888 777
Which balloon started at a greater height?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The red one
(Choice B)
B
The blue one
(Choice C)
C
They both started at the same height
Which balloon ascended faster?
Answers
needs help answering
Answers
Answer:
26
Step-by-step explanation:
the answer is 26
Dennis drove for 12 minutes and went 8% miles in that time. At this rate, how many miles can he drive in 1 hour?
Answers
Find the equation of a line that passes through the point (4,2) and has a gradient of -2. Leave your answer in the form y=mx+c
Answers
Answer:
y = - 2x + 10
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 2 , then
y = - 2x + c
to find c substitute (4, 2 ) into the equation
2 = - 8 + c ⇒ c = 2 + 8 = 10
y = - 2x + 10 ← equation of line
Answer:
y = - 2x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 2 , then
y = - 2x + c
To find c we must substitute (4, 2 ) into the equation
2 = - 8 + c, c = 2 + 8 = 10
y = - 2x + 10
How does the reunion affect paolo’s parents and benjamin
Answers
Some of the factors that can make a reunion unhappy or bittersweet are:
Death of a mutual.Personal tragedies, etc.What is Reunion?This refers to the situation where two or more people meet each other again after a long time of being apart.
We can note that sometimes, a reunion is happy, other times, it is bittersweet or unhappy as either some good thing or unfortunate event has occurred during the period spent apart from each other.
Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.
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Which segments are congruent? eh and ef gh and fe fg and eh ef and gf
Answers
If the two sides of the triangle are equal then these two triangles are similar. The sides EF and GF are congruent to each other. Then the correct option is D.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
In ΔEDF and ΔGDF
DF = DF = radius (common side)
ED = GD = radius
If the two sides of the triangle are equal then these two triangles are similar.
Thus, EF and GF are congruent to each other.
More about the triangle link is given below.
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Answer:
the answer is D
Step-by-step explanation:
EF and GF
HELP PLEASE ASAP. I really need help so it would be amazing if you could help me.
Answers
Answer:
ans at lower left
Step-by-step explanation:
scale up every element in the matrix in the question by 2 will get you the ans.
A coat and a pair of boots are on sale for 20% off. The regular price of the coat is $225. The regular price of the boots is $130. Part A find the sale price of the coat —————-Part B what is the sale price of the boots?
Answers
Answer:
Part A = $180
Part B = $104
Step-by-step explanation:
Part A:
You do 255÷5=51
51 x 4 = 180
Part B:
You do 130÷5=26
26 x 4 = 104
Answer:
$180 for the coat, $104 for the boots
Step-by-step explanation:
first: percent = decimal (20 = 0.20)
for the coat:
225-(225x0.20)
225-40 = 180
for the boots:
130- (130x0.20)
130-26 = 104
Lightning flashes every 15 seconds one rainy night. How many times would it flash in 3 minutes? *
Answers
12 times in 3 minutes
Lightning flashes every 15 seconds and there’s four 15 seconds in one minute. So in a minute lightning strikes 4 times then you multiply the 4 times 3 minutes and you get 12.
9 athletes from a high school weightlifting team were randomly selected to begin a new resistance weight program. After 8 weeks, the difference in how much weight they could lift (after - before) was recorded below in kg 4, 13.5, 15, 6, 12, 14, 19.5, 7.5, 13, Assume the population distribution is approximately normal. Find a 95% confidence interval for the mean strength gain of all students from this school if they joined the program.
Answers
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean strength gain of all students from this school if they joined the program is (7.85, 15.37).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.
The other parameters are given as follows, with the help of a calculator.
[tex]\overline{x} = 11.61, s = 4.89, n = 9[/tex]
Hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.61 - 2.306\frac{4.89}{\sqrt{9}} = 7.85[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.61 + 2.306\frac{4.89}{\sqrt{9}} = 15.37[/tex]
The 95% confidence interval for the mean strength gain of all students from this school if they joined the program is (7.85, 15.37).
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can somone help me out i am kinda stressed
Answers
Answer: 4 1/2
Step-by-step explanation:
Adding all the fractions you get 4 1/2
In a football club there are 2 balls for every 12 players. How many footballs will
be needed for 48 players?
Answers
Answer:
8
Step-by-step explanation:
Given:
In a football club there are 2 balls for every 12 players.To Find:
How many footballs will be needed for 48 players?
Solve:
Since there are 2 balls for every 12 players..
Let's b = balls and P = Players
2b = 12p
4b = 24p
6b = 36p
8b = 48
Hence, we can conclude that there will be 8 footballs needed for 48 players
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Answer:
8 balls
Step-by-step explanation:
We can use ratios to solve.
2 balls x balls
------------- = -----------------
12 players 48 players
Using cross products
2 * 48 = 12 *x
96 = 12x
Divide each side by 12
96/12 =12x/12
8=x
They needs 8 balls
Express as a sum :
15-7
PLS HELP WILL MARK BRAINLIST
Answers
Help please! This is an assignment!
Answers
You move up 5 units. You end at (3, 9). Where did you start?
Answers
Answer:
You started at (3, 4)
4 + 5 = 9, the only option to get there in this case.factorized, 3 x 3(x) and replace for y.Write a function rule for the table.
Answers
Answer:
C. p = h + 16
Step-by-step explanation:
A 5 cm object is 18. 0 cm from a convex lens, which has a focal length of 10. 0 cm. What is the distance of the image from the lens? Round your answer to three significant figures. Cm What is the height of the image? Round your answer to three significant figures. Cm.
Answers
The distance of the image from the lens V=22.5cm and the height of the image h=6.25cm.
What will be the distance and the height of the image placed in front of the convex lens?
It is given that
Hieght of an object H = 5cm
Distance of an object =18cm
Focal lenght of lens = 10cm
As we know that the lens formula is given by
[tex]\dfrac{1}{f} =\dfrac{1}{v} +\dfrac{1}{u}[/tex]
[tex]\dfrac{1}{v} =\dfrac{1}{10} -\dfrac{1}{18}=\dfrac{8}{180}[/tex]
so now
[tex]v= \dfrac{180}{8} =22.5\ cm[/tex]
Now to find the height of the image
[tex]\rm magnification =\dfrac{v}{u} =\dfrac{-Image\ Hieght }{object\ height}[/tex]
[tex]\rm magnification =\dfrac{22.5}{18} =\dfrac{-x}{5}[/tex]
[tex]x=-6.25\ cm[/tex]
Thus the distance of the image from the lens is V=22.5cm and the height of the image h=6.25cm.
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The table below shows how many gumballs of each color there are in a gumball machine.
Juan is going to buy one gumball, and the gumball is selected at random. What is the
approximate probability that Juan gets a yellow gumball?
A) 0.05
B) 0.06
C) 0.17
D) 0.20
Please explain how you get the answer so I could learn because yt videos don’t help and I don’t want to be a burden to my parents by asking them to help
Answers
By taking the quotient between the number of yellow gumballs and the total number of gumballs, we will see that the probability is:
p = 0.17, so the correct option is C.
How to get the probability?
If we assume that all the gumballs have the same probability of being selected by the machine, then the probability of getting a yellow gumball is given by the quotient between the number of yellow gumballs and the total number of gumballs.
There are 74 yellow gumballs.There are 86 + 74 + 103+ 94 +89 = 446 gumballs in the machine.So the probability of getting a yellow one is:
p = 74/446 = 0.17
The correct option is C.
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On a map scale, I inch = 53 miles. Two attractions are eight inches apart on the map. How far are they apart in miles?
Answers
Answer:
424 miles
Step-by-step explanation:
53 x 8 = 424 miles
At White's Whimsical Wands, there are 2 types of wand-making machines. Machine A can
produce 60 wands per day and Machine B can produce 35 wands per day. Every day, White's
Whimsical Wands manufactures 850 wands using a total of 20 machines. Select two equations
below that could be used to determine how many of Machine A and how many of Machine B
White's Whimsical Wands has. Let x represent the number of Machine A and let y represent
the number of Machine B
Answers
Answer:
See attached image
Step-by-step explanation:
Explained on image