Triangles R S T and V U T are connected at point T. Angles R S T and V U T are right angles. The length of side R S is 12 and the length of side S T is 16. The length of side T U is 8 and the length of U V is 6. Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem? StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction

Answers

Answer 1

Answer:

  [tex]\dfrac{\overline{RS}}{\overline{VU}}=\dfrac{\overline{ST}}{\overline{UT}}\quad\text{and}\quad\angle S\cong\angle U[/tex]

Step-by-step explanation:

To use the SAS similarity theorem, you must show proportionality between corresponding sides, and congruence of the angle between them.

The answer shown above is the only answer choice that mentions an angle.

__

Comment on other choices

Choice B shows the three sides are proportional, so would be useful if the SSS similarity theorem were to be invoked. It isn't helpful for the using the SAS similarity theorem.

Choices C and D get the proportion statements wrong.

Answer 2

Answer:

RS/VU=ST/UT and Angle S congruent Angle U


Related Questions

A scale model of a building is 5 inches wide by 7 inches long. If the scale is 1in:15ft, how long is the building. (You must include the unit.)

Answers

Answer:

75 feet wide and 105 feet long

Step-by-step explanation:

By using the ration provided in the question we can see that for every inch that the scale model has, it equates to 15 feet in the actual building. Therefore in order to find the actual size of the building we can multiply the values of the model by 15 like so...

Wide: 5 * 15 = 75 feet

Long: 7 * 15 = 105 feet

Therefore we can see that the building is 75 feet wide and 105 feet long

PLZZZ HELPP MEE -11 - (-5) / (2*3) is an example of A. a numerical equation B. an algebraic equation C. an algebraic expression D. a numerical expression

Answers

Answer:

This is a numerical expression or D.

Step-by-step explanation:

It is not algebraic because it doesn't include unknown variables such as x or y

and it is not a numerical equation because equations have equal signs in them such as 5 + 6 = 11

Answer:

it is a numerical expression

Step-by-step explanation:

it is not an algebraic equation because there are no variables say, p or q or any other variables attached or unattached to its coefficients. And no equal sign attached to it.

it is not an algebraic expression.

it is not a numerical equation because it has no equal sign neither is it equating itself to another.

finally, it is a numerical expression because it only consists of numbers and has no equal sign. Or it is not equating to any other solution.

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. A. 4.54 B. 5.00 C. 5.83 D. 34.00

Answers

Answer:

5.83 = CD

Step-by-step explanation:

We can use the pythagorean theorem to solve

The legs are the x and y distances

x = (1- -4) = 5 units and y = 3 units

a^2+ b^2 = c^2

5^2 + 3^2 = c^2

25+9 = c^2

34 = c^2

Taking the square root of each side

sqrt(34) = c  which is the distance from C to D

5.830951895 = CD

5.83 = CD

Answer:

C. 5.83

Step-by-step explanation:

This is the correct answer I took the exam

Find the value of x.

A. 5√6
B. 10√2
C. 5√2
D. 5
E. 10

Answers

Answer:

x = 10

Step-by-step explanation:

cos 45 = 5[tex]\sqrt{2}[/tex] / x

x = 5[tex]\sqrt{2}[/tex] / cos 45, cos 45 = [tex]\sqrt{2}[/tex] / 2

x = 10

if the circumstance is 24,901 what is the diameter ?

Answers

I assume that you meant circumference instead of circumstance as circumstance is not a math term.

Given that the circumference is 24,901, determine the diameter.

So, when we find the circumference of a circle. We multiply the diameter by pi (3.14).

However, if we want to find the diameter, we can reverse it by dividing by pi to get the diameter.

So, it would become:

D = C/pi

D = 24901/3.14

D = 7930.25

Thus, the diameter is 7,930.25 (insert units here).

Answer:

C= 2PiR

24901=2 x 22÷7 × R

44R÷7

24901 x 7=44R

174307=44R

R=174307÷44

R= Approx. 3962

D= 3962 x 2

D= 7924

Brainliest question please help me now plz

Answers

Answer: Outside of the circle

Step-by-step explanation:

Because its bigger than the number

inside so it cant me a or b

so the answer is C because its outside of the points

Hope this helps :)

The answer is A

If you plot them on a graphing calculator you can see that the diameter is around 9ish. So point J is inside the circle.

please help me it will be very much appreciated

Answers

Answer:

ΔABC ≅ ΔFED

Explanation:

Look at the alignment and position of the letters.

A = F

B = E

C = D

Properly align the letters in order to their corresponding position.

ΔA ≅ ΔF

ΔAB ≅ ΔFE

ΔABC ≅ ΔFED

what does this meeaaannn?? please answer

Answers

Answer: It means find the slope of each line.

Step-by-step explanation:

A is the line that runs from 0,-6 to 5,14 This is tricky because the scale of the y-axis is twice the value of the x-axis. So what looks like a slope (gradient) of +2 is actually +4. Figure the difference in y-values divided by the difference in x-values.

Same for line B.

I used 0 - 14 for the rise, and 4 -(-3) for the run. 7/-14 makes that slope a -2. That's negative two, not the apparent negative one!


If Violet Atkins is purchasing a car whose base price is $15,499 with no options and $589 destination charge, what is
its sticker price?​

Answers

Answer:

16088

Step-by-step explanation:

Add the base price and the destination charge

15499+589

16088

Answer:

it is 16088

Step-by-step explanation:

$15,499+589=16088 You just Add it

plz help I will give brainiest, how would you solve 4x + 2y = 18 3x - 5y = 20 by elimination showing all of the work and the final answers

note; there are two equations there but they are in the same question

Answers

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20 POINTS
Jose estimates the cost of a movie popcorn and code to be $15, when it 5 points
actually costs $18.45. Find the percent error Round your answer to the
nearest tenth.
A. 81.3%
B. 18.7%
C. 23%
D. 181.3%​

Answers

Answer:D is the answer

Which expression is equivalent to
(а^8)^4?

Answers

Answer:

a^32

Step-by-step explanation:

(а^8)^4

We know that x^y^x = x^(y*z)

(а^8)^4 = a^(8*4) = a^32

Hey!!!!

Here's your answer:

(a^8)^4

=a^8*4

=a^32

Here, just we have to multiply the powers.

Hope it helps...

Good luck on your assignment

Here is a map of a town.
The map shows a centimetre ruler.
1 cm represents 4 km.
What is the real-life distance between the park and the museum?

Answers

Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

The ratio of map is 1cm : 4km. So you have to multiply by 4 :

[tex]1cm = 4km \\ 3cm = 4km \times 3 \\ 3cm = 12km[/tex]

12km

Step-by-step explanation:

Find the area of the semi circle with Diameter of 4

Answers

Answer:

Find the area of the semi circle with Diameter of 4

6.3

Step-by-step explanation:

The area formula for semicircle is (πr^2)/2.

r=2 because radius is half of diameter.

(π(2)^2)/2, 2 squared= 4 and half of it is 2. = 2π

2π would round to the nearest tenths is 6.3.

The area of the semi circle with Diameter of 4 is, 6.28 unit².

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

Diameter of semicircle = 4

Now,

Radius of semicircle (r) = 4/2

                                   = 2

We know that;

⇒ Area of semicircle = πr

Where, 'r' is radius of circle.

Hence, The area of the semi circle with radius 2 is,

Area of semicircle = πr²/2

⇒ Area of semicircle = 3.14 × 2² / 2

⇒ Area of semicircle = 6.28 unit²

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

State the domain and range for the function. f(x)=3 cot (2x)

Answers

Answer:

Step-by-step explanation:

First look at the tangent function f(x) = tan x.  Its domain is restricted:  (-pi/2, pi/2).  There are no restrictions on the function value, so the range is (-infinity, +infinity).  The primary interval on which tan x is defined is (-pi/2, +pi/2, which has length pi.

In comparison, the domain of f(x) = tan 2x is only half as long as that of f(x) = tan x:  (-pi/4, +pi/4), with length pi/2.

Now, focusing on f(x) = 3cot(2x):  the range is the same:  (-infinity, +infinity).  The period is half that of tan x:  pi/2 instead of pi.  Remember that the cotangent function repeats itself every pi/2 radians.

Domain:  (-pi/4, +pi/4) (centered on the origin), (-3pi/4. 3pi/4), and so on, continuing to both the left and the right.

Range:  (-infinity, infinity)

Please help! Correct answer only please! I need to finish this assignment by tomorrow.
The formula for a baseball player's slugging percentage is:

1S + 2D + 3T+ 4HR/AB

If a player has 58 singles, 24 doubles, 8 triples, and 39 home runs, with 367 At Bats.

What is the player's slugging percentage?

A. 0.524

B. 0.779

C. 0.883

D. 0.736

Answers

Answer:

0.779

Step-by-step explanation:

1(58)+2(24)+3(8)+4(39)=286

286/367=0.779

PLS GIVE BRAINLIEST!!!

How do you use the distance formula and slope formula to classify quadrilaterals and triangles?

Answers

Answer:

Hopeiit helped...

Please mark as brainliest...thanks!!!

Thanks!!!!!!!!!!!!

Step-by-step explanation:

Distance formula. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

The Distance Formula is a variant of the Pythagorean Theorem that you used back in geometry. Here's how we get from the one to the other:

Suppose you're given the two points (–2, 1) and (1, 5), and they want you to find out how far apart they are.

You can draw in the lines that form a right-angled triangle, using these points as two of the corners:

It's easy to find the lengths of the horizontal and vertical sides of the right triangle: just subtract the x-values and the y-values:

Then use the Pythagorean Theorem to find the length of the third side (which is the hypotenuse of the right triangle):

This format always holds true. Given two points, you can always plot them, draw the right triangle, and then find the length of the hypotenuse. The length of the hypotenuse is the distance between the two points. Since this format always works, it can be turned into a formula:

Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance d between these points is given by the formula:  d=√((x_2-x_1)²+(y_2-y_1)²)

Credits:

Distance formula | Analytic geometry (video) | Khan Academy

Purple Math

What is the missing number in the table?

Answers

Answer:

The missing number is 16.

Step-by-step explanation:

The ratio between x and y is 1:4. 4 times 4 is 16. Hope this helped! :)

Answer:

Here is your answer for everyone Hope this helps

Step-by-step explanation:

So the first answer would be 16 for the missing gap then for Some of the graph is shown the graph shows LINEAR Growth which i got it wrong because i suck at guessing lol! then the last gap which i got wrong again is 24!

where it says what is the value of y would be associated with x = 6

1. 16!

2. linear growth!

3. 24!

2/3 x = 2 2/5 what is x

Answers

explanation

change the improper fraction to proper fraction that is 2×5+2=12/5

2/3x= 12/5. (multiply both sides by the LCM of the denominators)that is by 15

2/3x×15=12/5×15 =

10x=36(divide both sides by 10)

x=3.6

answer

x=3.6

A 2-pound bag of asparagus costs $5.44. What is the price per ounce?

Answers

Answer:

0.17 per ounce

Step-by-step explanation:

To find the price per ounce, divide the price by the number of ounces.

price/ number of ounces

A 2 pound bag costs $5.44. We need to find out how many ounces are in 2 pounds.

Each pound has 16 punches. Therefore, 2 pounds will have 32 ounces (16 ounces * 2 pounds=32 ounces).

Now we can find the price per ounce by dividing the price by the number of ounces.

price/ounces

We know the bag is 2 pounds, which is equal to 32 ounces. We also know the bag costs $5.44

price= $5.44

ounces= 32 ounces

$5.44/ 32 ounces

$0.17 / ounces

The asparagus costs 0.17 per ounce.

what is the greatest number of of acute angles that a triangle can contain?

Answers

Acute usually means below or exactly 90°, so the greatest would be 90

Answer:

3

Step-by-step explanation:

Bennett was about 8 pounds when he was born in December. In March, Bennett was 15 pounds. What was Bennett's PERCENT INCREASE in weight from December to March?

Answers

Answer:

87.50%

Step-by-step explanation:

The increase in weight between December was Bennett was given birth to and the following March is the difference between the weight now and prior weight i.e 15 pounds -8 pounds=7 pounds

The % increase in weight =the increase in weight/initial weight

the increase in weight is 7 pounds

the initial weight was 8 pounds

the % increase in weight=7/8=87.50%

The percentage increase in weight is 87.50%  rounded to two decimal places

The equation of the line perpendicular to 5x+2y=20 and containing the point (5,10) is:

Answers

Answer:

all work pictured and shown

Please help! Correct answer only please! I need to finish this assignment by today.

The aspect ratio of a rectangular shape is it's length divided by it's width (L/W). If the aspect ratio of a chalkboard is 4:3 and the width is 7 in,


what is the length of the chalkboard?


A. 6.67 in


B. 9.33 in


C. 12 in


D. 14 in

Answers

The Answer is A. 6.67 in

Step-by-step explanation:

Given : The aspect ratio of a rectangular shape is its length divided by its width (L/W).

Let's Make  'L'  to be the length of the rectangular shaped chalkboard.

If  the aspect ratio of a chalkboard is 4:3 and the width is 5 in then we have To Multiply 5 on each side , we get the length of the chalkboard = 6.67 in.

Please Mark As Brainlist C:

Thanks

Bacon Hair

Find 4 consecutive even integers such that the sum of the first three is equal to the fourth integer.

Answers

0,2,4,6 that is the asset

A ball is thrown into the air from an apartment balcony and falls to the ground. The height of the ball, h metres, t seconds after being thrown is given by the formula: h=−5t2+10t+35

How long does it take for the ball to hit the ground

Answers

Answer:

[tex]1+2\sqrt{2}[/tex] seconds

Step-by-step explanation:

When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:

[tex]0=-5t^2+10t+35 \\\\-5(t^2-2t-7)=0[/tex]

Plugging this into the quadratic equation, you get:

[tex]t=\dfrac{2\pm\sqrt{4+28}}{2}= \\\\\dfrac{2\pm4\sqrt{2}}{2}= \\\\1\pm2\sqrt{2}[/tex]

Since the time must be positive, it takes the ball [tex]1+2\sqrt{2}[/tex] seconds to hit the ground, or around 3.828. Hope this helps!

PLEASE HELP, I WILL MARK BRAINLIEST!

Answers

Answer:

1c 2b

Step-by-step explanation:

Answer:

1c 2b

Step-by-step explanation:

if p(-2,3), q(5,0),r(0,2) and s (-4,0) are plotted on the graph which ofthem would lie on x axis?
PLEASE GIVE THE GRAPH ALSO TO BECOME BRAINLIEST

Answers

Answer:

Points (-4,0) and (5,0) will lie on the x axis.

Step-by-step explanation:

To know if a point lies on the x axis, the y - value of a coordinate will always be zero. Here is the graph below:


If a+b = 7, and a² +b²=25
then ab = ?​

Answers

a2+b2=25

or, (a+b)^2-2ab=25

or, (7)^2-2ab=25 [a+b=7]

or, 49-25=2ab

or, 24/2=an

•°• ab=12....

Match the key aspect of a function's graph with its meaning
3-intercept
location on graph where input is zero
fo)< 0
intervals of the domain where the
graph is below the x-axis
-intercept
intervals of the domain where the
graph is above the x-axis
fo> 0
location on graph where output is
zero

Answers

Answer:

y- intercept --> Location on graph where input is zero

f(x) < 0         --> Intervals of the domain where the graph is below the x-axis

x- intercept --> Location on graph where output is zero

f(x) > 0         --> Intervals of the domain where the graph is above the x-axis

Step-by-step explanation:

Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.

f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.

X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.

f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.

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