Are ΔSUT and ΔXWV similar? If so, state the reason and the similarity statement.
Question 4 options:
A)
Yes; SSS; ΔSUT ∼ ΔXWV
B)
Yes; SAS; ΔSUT ∼ ΔXWV
C)
Yes; SSS; ΔTSU ∼ ΔXWV
D)
The triangles aren't similar.
Answers
Answer:
Yes (SSS) Triangle SUT is congruent to triangle XWV
Step-by-step explanation:
15/10 = 1.5
9/6 = 1.5
12/8 = 1.5
In ΔSUT and ΔXWV the given sides are in proportion. Therefore, option A is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
The given two triangles are ΔSUT and ΔXWV.
From the triangle SUT, SU=10, UT=8 and ST=6
From the triangle XWV, VW=12, XW=15 and VX=9
Now, SU/XW = UT/VW = ST/VX
10/15 = 8/12 = 6/9
2/3 = 2/3 = 2/3
The given sides are in proportion.
So, by SSS similarity ΔSUT∼ΔXWV
Therefore, option A is the correct answer.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ2
Related Questions
The hypotenuse of a right triangle measures 17 cm. One leg of the triangle measures 15 cm. Find the length of the other leg of the triangle.
Answers
Answer:
Step-by-step explanation:
8 cm
Does anyone know
How to do probability?
Answers
Probability is simply how likely something is to happen.
Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
The best example for understanding probability is flipping a coin:
There are two possible outcomes—heads or tails.
What’s the probability of the coin landing on Heads? We can find out using the equation P(H) = ?P(H)=?P, left parenthesis, H, right parenthesis, equals, question mark.You might intuitively know that the likelihood is half/half, or 50%.
Tips
The probability of an event can only be between 0 and 1 and can also be written as a percentage.
5) Mrs. Bell went bowling again. Her bowling scores were 100, 172, 85, and 92. She wants
her average to be 115. What does she need to bowl on the next game?
Answers
Answer: She needs to bowl 120 or more on her next game.
Step-by-step explanation:
When writing a summary about the theme you should....
A
Include the theme in the first sentence.
B
Write what the message shows you.
C
Write details about the story.
D
All of the above.
Answers
Answer: D, All of the above
Step-by-step explanation:
What are the two zeros of the quadratic function defined by the expression 9x2 - 4?
Answers
x=2/3 , -2/3
peepeepoopooo I need help please
Answers
Answer:
16.9
Step-by-step explanation:
We can use a proportion also in this case
51.6 : 23 = 38 : NO
NO = (38 x 23)/51.6 = 16.9
The probability of getting a A in mr Atkesons class is 25% what is the probability of not getting a A
Answers
Answer:
75%
Step-by-step explanation:
100% - 25% = 75%
<3 Enjoy,
Dea
WHATS THE ANSWER?? answer ASAP
Answers
Help !!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
sorry but I am not able to answer the question
evaluate the expression for x = 6
3 x + 5 =
Answers
Answer:
23
Step-by-step explanation:
6x3=18
18+5=23
Answer
this is wrong
Step-by-step explanation:
this is an equation not an expression. Equations have = and expressions dont. Please rewrite this and I will help.
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answers
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
Use I = PRT to find the total amount in the savings account.
$1555.00 at 8% for 2 years
PLEASE HELP ASAP
Answers
Answer:
[tex]\boxed {\boxed {\sf \$ 1803.80}}}[/tex]
Step-by-step explanation:
We are using the formula I=PRT and calculating simple interest.
[tex]I=PRT[/tex]
I is the interest, P is the principal or starting amount, R is the interest rate as a decimal, and T is the time in years.
We know that there is $1555.00 at 8% for 2 years. First, convert the interest rate to a decimal. Divide the rate by 100 or move the decimal place 2 spots to the left.
8/100 = 0.08 8. --> 0.8 --> 0.08Now we know all the values:
P= 1555.00 R= 0.08T= 2Substitute the values into the formula.
[tex]I= (1555.00)(0.08)(2)[/tex]
Multiply.
[tex]I=124.4(2)[/tex]
[tex]I=248.8[/tex]
The account earned $248.80 in interest, but the question asks for the total amount in the account. We must add the interest to the starting amount.
[tex]1555.00 +248.80[/tex]
[tex]1803.8[/tex]
After 2 years, the savings account had $1803.80
Step-by-step explanation:
Principal=P=1555
Rate of Interest=I=8%=0.08
Time=t=2
Interest=I=PRT
➜1555×0.08×2
➜248.8
Savings=P+I➜1555+248.8
➜1803.8
A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted. The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07. Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
b. there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
c. there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
c. there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
Answers
Answer:
Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
Step-by-step explanation:
Here the Null hypothesis would be
H0: 87% of the graduates find full-time employment in their field within the first year of graduation
H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation
Here the p values is 0.07.
Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.
Hence, option A is correct
Since the p-value is greater than the significance level, the correct option is:
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
At the null hypothesis, it is tested if the proportion is still of 0.87, that is:
[tex]H_0: p = 0.87[/tex]
At the alternative hypothesis, it is tested if it has decreased, that is:
[tex]H_1: p < 0.87[/tex]
Since the p-value is greater than the significance level, we do not reject the null hypothesis, and hence, the correct option is A.
A similar problem is given at https://brainly.com/question/25831511
Tom and Susan park at different lots.
To see which lot is busier, they count the numbers of cars in the lots each day as they arrive.
Their data are shown in the box plots.
the questions to compare the variabilities of the data sets.
1. What is the interquartile range for Tom's data? Explain how you found the interquartile range.
Write your answer in the space below.
1
Answers
Answer:
Tom = 5
Susan = 3
Step-by-step explanation:
FROM THE BOXPLOT :
Tom's IQR :
IQR = Q3 - Q1
Q3 = third quartile (value at the endpoint of the box)
Q1 = 1st quartile (value at the beginning of the box)
IQR = 9 - 4
IQR = 5
SUSAN :
IQR = Q3 - Q1
Q3 = third quartile (value at the endpoint of the box)
Q1 = 1st quartile (value at the beginning of the box)
IQR = 8 - 5
IQR = 3
Here is the problem:)
Answers
Answer:
Yes, there are exactly 2 ways to solve this triangle.
Step-by-step explanation:
Well we know that to find out a trigonometric ratio we are given an angle and a side, and we have to solve for the other side. In this case only 2 of the legs are given, hypotenuse is neither given nor asked. So we have to use the ratio that doesn't have hypotenuse included. Tangent is the only such ration. Now we can use either Tan(51) or Tan(39) to solve for the "x".
These would be the functions to solve for x:
1.) Tan(51) = [tex]\frac{x}{10}[/tex]
2.) Tan (39) = [tex]\frac{10}{x}[/tex]
Hope this helps!
Simplify
1/6 / 1 3/8
Answers
Answer:
1/6 = 1/6 (already simplified) 1 3/8 = 11/8
Step-by-step explanation:
Help with the Pythagorean Theorem
Answers
Answer:
A=5
B=3
C=5.83
A^2+B^2=C^2
Answer:
5.83
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Help me please with an explanation
to please
Answers
Explanation- 9x4= 36 and 288 divided by 36 equal 8
Answer:
8 feet
Step-by-step explanation:
Volume = length * width * height
Substitute the values.
288 = 9 * 4 * height
Divide both sides by 36
height = 288/36
height = 8 feet
A class consists of 20 sophomores and 15 freshmen. The club needs to choose four different members to be president, vice president, secretary, and treasurer. In how many ways is this possible if sophomores will be chosen as president and treasurer and freshmen as vice president and secretary?
Please explain your answer instead of just providing the answer for the points!
Answers
Answer:
There are 79,800 ways in which this is possible.
Step-by-step explanation:
The order in which the students are chosen is important(due to different roles), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
2 sophomores from a set of 20.
2 freshmen from a set of 15. So
[tex]P_{20,2}*P_{15,2} = \frac{20!}{18!}*\frac{15!}{13!} = 20*19*15*14 = 79800[/tex]
There are 79,800 ways in which this is possible.
pls help me
Which of the following is not a solid figure?
A.cube
B.cylinder
C.prism
D.rectangle
Answers
Answer:
c.prism is not solid figure
Answer:
rectangle
Step-by-step explanation:
rectangle isn't a solid figure
Raffle tickets will be sold at an event. The graph shows the amount of revenue, in dollars, the event will raise if different numbers of tickets are sold. 100 How much revenue will the event raise for each raffle ticket sold? 90 А $4.00 80 B $2.00 70 С $1.50 D $0.75 60 Revenue (5) SO 40 30 20 10 4 8 12 16 28 32 20 24 Tickets Sold 36 40
Answers
9514 1404 393
Answer:
C. $1.50
Step-by-step explanation:
The graph is a straight line through the origin, so the revenue is proportional to the number of tickets. The ratio of revenue to tickets will tell you the money raised for each ticket sold. Pick any point on the graph and divide the revenue value by the number of tickets.
The division can be easy if the number of tickets is 10. We see that the revenue for 10 tickets is $15, so the amount raised for each ticket is ...
$15/10 = $1.50 . . . . raised per ticket sold
in desperate need of help please :/
Answers
Answer:
since 13 miles is 68640 i wood say 189 inches long from bumper to bumper. A mile is 5,280 feet (or 63,360 inches).
If 335 of these cars were parked with their bumpers touching, they would be almost exactly a mile long.
If your question refers to traffic jams, the answer will be a bit different, since cars in traffic jams don’t get that close together. I’m going to take a wild guess here, but let’s assume that there is a 4-foot gap between cars in our hypothetical traffic jam. now put that in to 13 miles
Step-by-step explanation:
Graph the image of N(3, -1) after a rotation 180° clockwise around the oriGin
Answers
Answer:
(-3, 1)
Step-by-step explanation:
180° rotation clockwise: (x,y) becomes (-x,-y)
which table represents a linear function? HELP FAST PLEASE
Answers
Answer:
the bottom left
Step-by-step explanation:
A linear function will have a constant slope so the bottom left graph is the only one with a constant slope. The y-values are all increasing by 2.
Here’s the next problem:)
Answers
Answer:
disagree
Step-by-step explanation:
toa=opposit over adjacent= 12/9
tan(x)=12/9
tan^-1=12/9
x= 53.1
Answer:
Disagree
Step-by-step explanation:
x actually equals 53.13
If the diameter is 111ft then the radius is
Answers
Answer:
55.5 is the I guess........
What is the measure of X , in degrees? HELPP!
Answers
Answer:
86°
Step-by-step explanation:
which energy change happens when we switch on a battery-powered radio
Answers
If (x, 0) lies on the graph of y = logbx , then x =
1
B
0
Answers
Answer:
1
Step-by-step explanation:
Plot the numbers -1.5,3/2,-3/2,-4/3 on the number line. label each point with its numeric value. true of false
please I need help