State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. The triangles are not drawn to scale.
8
64
T
32
200
19
S
R
16
O ASRQ - AVTU: SAS.
O AQRS - AVTU; SAS.
O ARSQ - AVUT:ASA.
The triangles are not similar
Answers
Answer:
Step-by-step explanation:
ΔSRQ and ΔVTU are similar Triangle.
What is the congruent triangle?Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.
Given two triangles, ΔRQS and ΔVUT such that,
RS = 16, QR= 64 and VT = 8, UT = 32
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
From the above condition since,
∠R = ∠T
and
[tex]\frac{QR}{SR} = \frac{UT}{VT} = \frac{4}{1}[/tex]
Thus,
ΔSRQ and ΔVTU are similar from the congruency property of SAS.
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Related Questions
Spencer visits an electronics store to buy a tablet. The store is having a sale and discounting all tablets by 15% of the marker price of 214.80
Answers
Explanation
An oak tree is planted when it is 650 centimeters tall. What is this height in meters?
The height of the oak tree is
meters.
Answers
Answer:
The answer is 6.5 meters tall
Step-by-step explanation:
650 divided by 100
do your 2 loops to the left and you get 6.5
A mathematics professor created a test that was supposed to be mostly easy except for two challenging problems. The scores of the students are shown in the dot plot below. What was the most common score?
Answers
Answer:
Depends how many questions there is.
Step-by-step explanation:
Jessie has these sticks. She uses all the sticks to make the sides of a shape. She
uses each stick for one side only. Which shape does Jessie make?
rectangle
rhombus
square
triangle
Done
Answers
im pretty sure it would be a square not to be rude but thats pretty easy can you make me brainliest please?
Answer:
1st
Step-by-step explanation:
i dont rllt know but i teyed
Pls help with this ASAP
Answers
Answer:
answer is A
Step-by-step explanation:
hope this helps!
at 6:00 a.m., the temperature is 58°. At 2:00 p.m., temperature is 76°. Find the rate of change in degrees per hour during this time.
Answers
Answer:
The rate of change is of 2.25 degrees per hour.
Step-by-step explanation:
The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).
In this question:
From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours
The change in temperature was of 76 - 58 = 18º
Rate of change:
18º/8 = 2.25º
The rate of change is of 2.25 degrees per hour.
William was parasailing at about 900 feet in the air while a shark swam
directly below him at 30 feet below the surface of the ocean. How far is
William from the shark?*
Answers
Answer:
930m
Step-by-step explanation:
It says they were 900 feet in the air below him is the ocean so thats 900 meters away from him and the shark is 30 feat below the surface of the ocean so you would do 900+30=930m so the shark is 930m away from him
What is 86,503 when writing in expanded
Answers
Answer:
86 thousand 5 hundred and 3
Step-by-step explanation:
how to graph f(x)=7|x -4|-1
Answers
Answer:
here I drew it digitally Hope it helps
Step-by-step explanation:
The graph of the function is a V-shaped curve.
Given that we need to determine the graph of the function f(x) = 7|x - 4| - 1.
To graph the function f(x) = 7|x - 4| - 1, you can follow these steps:
Start by identifying the key points of the function. In this case, the function involves an absolute value, which means it may change direction at the point inside the absolute value.
Set the expression inside the absolute value equal to zero and solve for x to find this critical point:
|x - 4| = 0
x - 4 = 0
x = 4
So, the critical point is x = 4.
Next, consider the behavior of the function on each side of the critical point.
Choose some values of x less than and greater than 4 and substitute them into the function to determine the corresponding y-values.
Let's choose x = 2:
f(2) = 7|2 - 4| - 1
f(2) = 7|-2| - 1
f(2) = 7(2) - 1
f(2) = 14 - 1
f(2) = 13
Let's choose x = 6:
f(6) = 7|6 - 4| - 1
f(6) = 7|2| - 1
f(6) = 7(2) - 1
f(6) = 14 - 1
f(6) = 13
Therefore, we have the points (2, 13) and (6, 13) on the graph.
Plot the critical point and the points you found on the coordinate plane. Mark them on the x-axis and y-axis.
To graph the absolute value part of the function, draw a V-shaped curve with the vertex at the critical point (4, 0).
The arms of the V-shaped curve will pass through the plotted points (2, 13) and (6, 13).
Extend the arms of the V-shaped curve indefinitely in both directions.
Finally, add the constant term (-1) by shifting the entire graph down by 1 unit. This means that every y-value on the graph should be reduced by 1 unit.
Your completed graph of the function f(x) = 7|x - 4| - 1 should resemble a V-shaped curve with its vertex at (4, -1), passing through the points (2, 12) and (6, 12), and extending infinitely in both directions.
The graph of the function is attached.
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Let f(x)=−42x+3. Evaluate f(−1)
Answers
Step-by-step explanation:
f(-1)=-42(-1)+3....placing -1 in x
f(-1)=42+3
f(-1)=45
Can someone please answer this
Answers
Divide both sides, and remember to flip the sign
A diagonal of a television screen measure 30 inches. The screen is 18 inches tall,as shown. which expression is equal to the length of the television screen in ,inches
Answers
Answer:
24 inches
Step-by-step explanation:
The television is a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in no particular order hence we can use Pythagoras theorem to find the length.
Recall that the theorem states that
opposite side^2 + adjacent side^2 = hypotenuse side^2
let the length of the television screen be L
L^2 + 18^2 = 30^2
L^2 + 324 = 900
L^2 = 900 - 324
L^2 = 576
L = √576
= 24 inches
Carlos tried to find a fraction equivalent to 2/3. Below is his work. Which
statement describes Carlos' error?
2/3=2/3 x 1/4=2/12
He should have divided by 1/4.
He incorrectly multiplied 2/3 and 1/4.
It is impossible to find a fraction equivalent to 2/3.
He did not multiply 2/3 by a fraction equal to 1.
Answers
Answer:
He did not multiply 2/3 by a fraction equal to 1.
Step-by-step explanation:
For example he could have multiplied 2/3 by 4/4
= 2*4/3*4 = 8/12,
When Sandy and Allen's mother decorates the house for a holiday by herself, it takes her 5 hours. When both Sandy and Allen help, the three can finish the job in 2.5 hours. When only Allen helps his mother decorate, it takes the two 3.5 hours. How long would it take Sandy to decorate the house by herself?
Answers
Answer:
Step-by-step explanation:
Mother=5hrs
Sandy and Allen and mother=2.5
Allen with mother=3.5
It would take sandy 5hrs coz she decorates the house herself so if u think logically it took her mother 5 hrs so it would take her.Coz its only her doing it no one else is helping!
Damon's father pays him one dollar to start the work and
doubles his pay for each hour of work. Write a function that
models this situation.
Answers
Answer: p(x) = $1*(2)^x
Step-by-step explanation:
First, the father pays him $1 for only starting the work, and for each hour, the payment is doubled.
So after the first hour, the payment wil be 2*$1 = $2.
After the second hour, the payment will be 2*(2*$1) = $1*(2)^2
After another hour, the payment will be 2*($1*(2)^2) = $1*(2)^3
We already can see the pattern here, after x hours, the payment will be:
p(x) = $1*(2)^x
This is the function that models this situation.
A random sample of 16 airline passengers at the Ontario Airport showed that the mean time spent in line to check in at the ticket counters was 18 minutes with a standard deviation of 7 minutes. Construct and interpret a 99% confidence interval for the mean time spent waiting in line by all passengers at this airport. Assume that such waiting times
Answers
Answer:
The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 36 - 1 = 15
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.947
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.947\frac{7}{\sqrt{16}} = 5.16[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 18 - 5.16 = 12.84 minutes
The upper end of the interval is the sample mean added to M. So it is 18 + 5.16 = 23.16 minutes
The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.
I need urgent help anyone?
Answers
Answer:
6.6 repeating = 6.7
46/7 = 6.7
6.8 = 6.8
47(root) = 6.9
Some of these answers have repeating numbers so I just rounded em.
Hope this helps :D
The distribution of the heights of students in a large class is roughly Normal. Moreover, the mean height is 68 inches, and approximately 95% of the heights are between 62 and 74inches. Thus, the standard deviation of the height distribution is approximately equal to
Answers
Answer:
Probably equal to 6 or 7.
Step-by-step explanation:
This is about similar polygons in geometry
Answers
6/x = 5/7.5
5x =45
X= 9 ft
Evaluate each expression.
24 : (-15 + 13-8-07- -6 x -5 - -10)
options
-2
22
10
8
Answers
Please answer this correctly without making mistakes
Answers
Answer:
1 mi 1927 ft
Step-by-step explanation:
Turn everything into feet:
5mi x 5280 ft/1 mi = 26,400ft + 1,348 ft = 27, 748 ft
3mi x 5280 ft/1 mi = 15,840ft + 4,701 ft = 20,541 ft
Do the subtration that the problem wants you to do:
27, 748 ft - 20,541 ft = 7,207 ft
Turn the answer into mi & ft:
7,207 ft - 5280 ft = 1927 ft
=
1 mi 1927 ft
tan^2 70° -sec^2 70°
Answers
Answer:
-1
Step-by-step explanation:
We need to find the value of tan² 70° -sec² 70°.
We know that,
[tex]\sec^2\theta-\tan^2\theta=1[/tex] ...(1)
We can write the given expression as :
tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)
=-(sec² 70°-tan² 70°)
Using identity (1)
=-(1)
= -1
Hence, the value of the given expression is -1.
in the first week of July, a record 1,040 people went to the local swimming pool. In the
second week, 100 fewer people went to the pool than in the first week. In the third week, 130 more
people went to the pool than in the second week. In the fourth week, 290 fewer people went to the
pool than in the third week. What is the percent decrease in the number of people who went to the
pool over these four weeks?
Answers
Answer: 25%
Step-by-step explanation:
First week of July = 1040 people
Fourth week of July = 1040- 100 + 130 - 290 = 780
The number of people that went to the swimming pool in 1st week was 1040 while the 4th week had 780. The percentage decrease will be:
= (1040 - 780) / 1040 × 100
= (260 / 1040) × 100
= 0.25 × 100
= 25%
7 one is equivalent to how many hundreds?
1400 tenths is equivalent to how many tens?
Answers
Answer:
(i) 7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds, (ii) 1400 tenths is equivalent to 14 tens.
Step-by-step explanation:
We proceed to find the equivalent number in rational form:
(i) 7 one is equivalent to how many hundreds? In this case, we know that 7 one is equivalent to [tex]x[/tex] hundreds. That is:
[tex]7\times 1 = x \times 100[/tex]
Then, we solve the expression for [tex]x[/tex]:
[tex]x = \frac{7\times 1}{100}[/tex]
[tex]x = \frac{7}{100}[/tex]
7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds.
(ii) 1400 tenths is equivalent to how many tens? In this case, 1400 tenths is equivalent to [tex]x[/tex] tens. That is:
[tex]1400\times \frac{1}{10} = x\times 10[/tex]
Then, we solve for [tex]x[/tex]:
[tex]x = \frac{1400}{10\times 10}[/tex]
[tex]x = \frac{1400}{100}[/tex]
[tex]x = 14[/tex]
1400 tenths is equivalent to 14 tens.
pls help with this problem
Answers
Can someone please help me?
Answers
15(4) + 32(2) = x
Where the variable x represents the pencils.
#25) y = 18
In this case, when x = 6 and y = 12, y is equal to x times 2. We then apply this rule to when x = 9. 9 times 2 is 18.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.006 Newtons when the distance between the objects is 4 metres.
Work out d (rounded to 2 DP) when F=0.045 Newtons.
Answers
Answer:
d = 1.46 m
Step-by-step explanation:
We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:
From the question given above,
F is inversely proportional to square of d. This can be written as:
F ∝ 1/d²
F = K/d²
Cross multiply
K = Fd²
But:
Force (F) = 0.006 N
Distance (d) = 4 m
Constant (K) =?
K = Fd²
K = 0.006 × 4²
K = 0.006 × 16
K = 0.096 Nm²
Therefore, the relationship between the force (F) and the distance (d) is:
F = K/d²
F = 0.096 / d²
Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:
Force (F) = 0.045 N
Constant (K) = 0.096 Nm²
Distance (d) =?
F = K/d²
0.045 = 0.096 / d²
Cross multiply
0.045 × d² = 0.096
Divide both side by 0.045
d² = 0.096 / 0.045
Take the square root of both side.
d = √(0.096 / 0.045)
d = 1.46 m.
I need help! I have an idea of which pick.
Answers
Answer: ok so I am bad at this but i would pick.....the top one
Step-by-step explanation:
Please answer quickly !
Answers
Answer:
Probably B
Step-by-step explanation:
what equation does the graph below represent
answer choices:
y =2x
y=1/2x
y=1/2
y=2+x
Answers
Answer:
y=2x
Step-by-step explanation: