In the portion of the shuffleboard court shown above, . What additional piece of information do you need to show that using the SSS similarity theorem?

Answers

Answer 1

The additional piece of information to show that ∆RST∼QSU uses the SAS similarity theorem is <SRT≅<SQU.

What is the similarity theorem?

The fundamental theorem of similarity states that a line segment divides two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

In this case, the additional piece of information to show that ∆RST∼QSU uses the SAS similarity theorem is <SRT≅<SQU.

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Related Questions

6x + 2y = 12 solve for y

Answers

Subtract 6x from both sides to get:

2y=-6x+12

Then divide both sides by 2 to get:

y=-3x+6

How do you turn 1/8 into a fraction

Answers

that is a fraction, as it has a '1' as the numerator and an '8' as the denominator.

hope it helps, xx

1/8 is already a fraction. The 1 is the numerator and the 8 is the denominator.

You need to pump water out of a flooded basement, using two 50-gallon-per-minute (gpm) pumps. The basement has the dimensions shown and is flooded to a depth of 16 inches. How long will it take to pump the water out of the basement?

Answers

The two pumps working together would pump out water at a rate of 100 gallons per minute. To determine the time it takes to completely pump out the water from the basement, we need to determine the volume of the water in the basement. The dimensions of the basement is 40 feet by 50 feet (given elsewhere) while the depth of the water is said to be 16 inches. From these dimensions, we can calculate for the volume as follows:

V = length x width x depth
length = 50 feet
width = 40 feet
depth = 16 inches ( 1 foot / 12 inches ) = 1.33 feet

V = 50 x 40 x 1.33 = 2666.67 ft^3 = 19948.05 gal

Time = V / rate
Time = 19948.05 gal / 100 gal / min
Time = 199.48 min

What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32

Answers

Answer:

Option (d) is correct.

[tex]\sqrt{10000x^{64}}=100x^{32}[/tex]

Step-by-step explanation:

Given : Expression [tex]\sqrt{10000x^{64}}[/tex]

We have to write a simplified form of the given expression [tex]\sqrt{10000x^{64}}[/tex]

Consider the given expression [tex]\sqrt{10000x^{64}}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]

[tex]=\sqrt{10000}\sqrt{x^{64}}[/tex]

Factor 10000 as [tex]10000=100^2[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]\sqrt{100^2}=100[/tex]

also, [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

We have,

[tex]\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}[/tex]

Thus, [tex]\sqrt{10000x^{64}}=100x^{32}[/tex]

Answer: D. 100x32

Step-by-step explanation:

Mr. Wilson has 3000 in his bacon count Mrs. Nelson has 10 times as much money in her bank account as Mr. Wilson has in his big and count how much money does Mrs. Nelson have in her bank account

Answers

Since Ms.Nelson has 10 times as much, you multiply 3,000 and 10 to get 30,000.

randy made a business trip of 204 miles. he averaged 52 mph for the first part of the trip and 50 mph for the second part. if the trip took 4 hours, how long did he travel at each rate?

Answers

x+y = 4

x=4-y

52x+50y=204

52(4-y)+50y=204

208-52y+50y=204

208-2y=204

-2y=-4

y=2

x= 4-2=2

check 52*2=104

50*2 = 100

104+100=204

so he traveled 2 hours at both 50 and 52 mph

The cruise control feature on a car is set to maintain a speed of 65 miles per hour. The car’s actual speed never varies by more than three mph. Select the inequality that represents the speed of the car while cruise control is being used.

Answers

Final answer:

The inequality that represents the speed of the car while cruise control is being used is 62 ≤ s ≤ 68, where s is the car's speed and it shows the car's speed will be at least 62 mph and at most 68 mph.

Explanation:

The cruise control feature on a car is designed to maintain a steady speed, in this case, 65 miles per hour. However, it is acknowledged that the car's actual speed can fluctuate slightly. The question asks for an inequality that represents the potential speed of the car while cruise control is in use.

Considering the car's speed can vary by up to 3 mph more or less than the cruise control setting, we can set up an inequality to describe this range of speeds. The car's speed (s) should be no more than 3 mph above 65 mph and no less than 3 mph below 65 mph. Therefore, the inequality that represents the speed s of the car would be:

62 ≤ s ≤ 68

This inequality shows that the car's speed will be at least 62 mph and at most 68 mph, encompassing the 3 mph range of variation allowed by the cruise control setting.

Solve the equation for 10 points

6x+7=8x−15

Answers

Add 15 to both sides to get 6x+22=8x then subtract 6x from both sides to get 22=2x then divide both sides by 2.

X=11

x=11, make sure to isolate the variables all on one side of the equation

explain the place value relationship when the same two digits are next to each other in a multidigit number

Answers

For example, the value of digit 3 in 5833

5833 = 5000 + 800 + 30 + 3

The digits 3 in 5833 has value of 30 and 3
One value is ten times the other

Another example, the value of digit 6 in 586645

586645 = 500000 + 80000 + 6000 + 600 + 40 + 5

The digits 6 in 586645 is 6000 and 600
One digit is 10 times the other

We can make a conclusion that the place value relationship when the same two digits are next to each other is one digit will always be 10 times the other digit.

how long would it take for an egg dropped from a helicopter to fall 256 feet to the ground? d=16t^2

Answers

Well the position function is:

h(t)=-16t^2+256

It will hit the ground when h(t)=0

-16t^2+256=0 factor out -16

-16(t^2-16)=0 factor difference of squares...

-16(t+4)(t-4)=0, since t>0

t=4 seconds

solve the system of equations using elimination. 3p+9q=6 5p-5q=30

Answers

45p-45q=270
15p+45q=30

Solving this will get 60p=300 so p=5
Plug it in and we get 15+9q=6 so q=-1

The answer is p=5 q=-1

3p+9q=6
5p-5q=30

3(5)+9(-1)=6
15-9=6✔

5(5)-5(-1)=30
25+5=30✔

p=5
q=-1

In a rain forest, it typically rains 290 days out of the year. If it rains today, what is the probability that it will rain tomorrow?

a. 72%
b. 81%
c. 79%
d. 61%

Answers

Hey there!

Since we weren't given any probabilities based on the chance of rain after it rained the day before, we can assume the probability will stay the same. We can disregard "If it rains today...".

If it rains 290 days out of the year (365 days), there will be a 290/365 chance of rain of a particular day. You can divide 290 by 365 to get a 79% chance.

Hope this helped you out! :-)

The tickets in a box are numbered from 1 to 20 inclusive. If a ticket is drawn at random and replaced, and then a second ticket is drawn at random, what is the probability that the sum of their numbers is even?

Answers

it would be a 10 out of 20 percent chance that the sum of their numbers is even.

Answer:

1/2

Step-by-step explanation:

no guarantees but the guy before me said 10/20 and of course if you divide 10 and 20 you get 0.5, and 0.5 is equal to 1/2.

8x-12y=84 into slope intercept form

Answers

8x-12y=84
in slope intersept form or (y=mx+b) is
y=2/3x-7

Create a factorable polynomial with a GCF of 2y. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

Answers

so first thing you need to know that GCF is greatest common factor
to make a polynomial you need to do ax2 + bx + c = 0

4xy^2 + 8x^2y = 2xy( y + 3x)

here you go two forms
but remember here they are asking to make the GCF 2 so the powers can't go greater than 2

hope this helps

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?

Answers

x= 0.787693 // ±1, ±1/2, ±1/4

Answer:

Step-by-step explanation:

it is a fraction. it is greater than 0.5 and less than 0.9. its denominator is a square number.its numerator number is a prime number. what could be the mystery number be?

Answers

Fraction with numerator as prime number and denominator as a square number between 0.5 and 0.9 is equals to 7/9.

What is fraction?

"Fraction is defined as the part of whole number divided into equal parts."

According to the question,

'x / y' represents the required fraction

'x' represents numerator of the given fraction

'y' represents denominator of the given fraction

Condition given,

0.5 < ( x / y) < 0.9

Denominator is squared number

Numerator is a prime number

(5 / 10) < ( 6 / 10) <( 7 / 10) < (7 / 9)< ( 9 / 10)

Hence, required fraction as per condition is ( 7 / 9).

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If the area of a rectangle is 24a2b and the length is 8ab2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.

the quantity of 3 times a all over b
b over the quantity 3 times a
3 over the quantity a times b
3ab

Answers

Answer:

Option the quantity of [tex]3[/tex] times a all over b

Step-by-step explanation:

we know that

The area of rectangle is equal to

[tex]A=LW[/tex]

where

L is the length side of rectangle

W is the width side of rectangle

In this problem we have

[tex]A=24a^{2}b\ units^{2}[/tex]

[tex]L=8ab^{2}\ units[/tex]

Remember that

[tex]W=\frac{A}{L}[/tex]

substitute

[tex]W=\frac{24a^{2}b}{8ab^{2}}=\frac{3a}{b}\ units[/tex]

If trap is an isosceles trapezoid, what is the value of x

Answers

Answer:

Option E ⇒ x = 19

Step-by-step explanation:

See the attached figure.

TRAP is an isosceles trapezoid

The shown angles are supplementary angles

So, the sum of (5x+9) and (4x) is 180

So, 5x+9 + 4x = 180

solve for x

9x + 9 = 180

9x = 180-9 = 171

x = 171/9 = 19

The answer is option E

FIRST CORRECT ANSWER GETS BRAINLIEST!

Answers

Since half of the diagonal is [tex]10[/tex] the whole diagonal ([tex]MK[/tex]) is 20

By pythagorean theorem, [tex]JK = \sqrt{MK^2 - MJ^2} = \sqrt{20^2 - 12^2} = \sqrt{400 - 144} = \sqrt{256} = 16. [/tex]

After that you just find the perimeter of the rectangle.

[tex]2l + 2w = 2*16 + 2*12 = 32 + 24 = 56[/tex] :)

91 more than the square of a number in verbal form

Answers

91 more than the square of a number can be expressed algebraically as:
let the number be x;
square of x is x^2
thus our answer is x^2+91

HHHHHHEEEELLLLLLPPPPP
Line A: 2x + 2y = 8 Line B: x + y = 4 Which statement is true about the solution to the set of equations? It is (8, 4). It is (4, 8). There is no solution. There are infinitely many solutions.

Answers

We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:

i) 2x + 2y = 8

ii) x + y = 4

use equation ii) to write y in terms of x as : y=4-x,

substitute y =4-x in equation i):

2x + 2y = 8
2x + 2(4-x) = 8
2x+8-2x=8
8=8

this is always true, which means the equations have infinitely many common solutions.

Answer: There are infinitely many solutions.

If you triple 4 and subtract 2 each day, how many days until you have zero?* 2 6 8 12

Answers

triple 4 = 4x3 = 12

divide 12 by 2: 12/2 =6

it will take 6 days

A girl wants to count the steps of a moving escalator which is going up. If she is going up on it, she counts 60 steps. If she is walking down, taking the same time per step, then she counts 90 steps. How many steps would she have to take in either direction, if the escalator were standing still?

Answers

Solve the how many steps will the girl direction, if the escalator were standing still.
So let,
V the speed of the girl per step
v the speed of the escalator per step
L the length between ground and floor in number of steps
V*60+v*60 = L => V+v=L/60
V*90-v*90 = L => V-v=L/90
By adding the equations V+v = L/60 and V-v=L/90 we get:
2V = L(3+2)/180
V = 5L/360
V = L/72
Time to climb (in steps) with v=0 (escalator standing still) is:
V*t = L
t = L/V
t = L/(L/72)
t = 72 steps
The girl will count 72 steps.

how do you solve f + 15 = 35

Answers

So what we do to one side of the equal sign, we must do to the other side as well.

We want to solve for f, so we need to subtract 15 on both sides of the equal sign in order to get f alone by itself on the left side:

[tex] f=20 [/tex]

So now we know that f = 20.

f + 15 = 35

Isolate the variable (f). Note the equal sign. What you do to one side, you do to the other.

Subtract 15 from both sides

f + 15 (-15) = 35 (-15)

f = 35 - 15

Simplify

f = 20

f = 20 is your answer

hope this helps

what else would you need yo show that ABC DEF by ASA APEX ?

Answers

ASA stands for angle, side angle, so the next piece of information you would need to know to prove congruency with this method is A. <B is congruent to <E.

the diagram show a straight line ABC . Find the value of p

Answers

Finding the change in y/change in x=the slope, we get
(13-11)/(-4-(-2))=2/-2=-1. Therefore, the equation is y=-1*x+b. Plugging it into (-4, 13), we note that 13=4+b and b=9 by subtracting 4 from both sides, making the equation y=-x+9. Plugging it into A, we get that
1 (y , the second value) = -x+9. Subtracting both sides by 9, we get 1-9=-x and -8=-x. Multiplying each side by -1, we get x=8

Plz help me answer this

Answers

[tex]3x+30=60\\ 3x=30\\ x=10[/tex]

60-30 = 30. 30/3 = 10. x = 10

In which situation is the distance traveled proportional to time?

A car moving in stop-and-go traffic

A person biking on a trail at 12
miles per hour for 20
minutes

A baseball hit to center field

A race car slowing down after crossing the finish line

Answers

It's the second answer, because it is the only answer that involves time.

Answer: a person on a trail at 12 miles per hour for 20 minutes

Step-by-step explanation:

just go it right!!!

What is 25 degrees lower than 57

Answers

Your answer would be 32.

57
-25
-----
32

7 - 5= 2
5- 2 = 3

Hoped I helped!

I think it should be 32

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Explain the second principle of training, and the balance one needs to find. 4 students equally share 3/4 of a pizza. How much of the pizza does each student get? In an upcoming race, the top 3 finishers will be recognized with the same award. Ryan is one of 12 people entered in the race.If all racers are equal in skill, what is the probability that Ryan will be one of the top 3 racers? Find two positive numbers a and b (withab) whose sum is 88 and whose product is maximized. One of the alliances formed because of rivalries over colonies and trade was the triple alliance, which consisted of __________ Chaz and Michael used to be best friends but had grown apart when they started high school. Chaz, a good-looking baseball player, was accepted into the popular group, while Michael, a shy "bookworm," kept quiet and tried not to draw attention to himself. After a party, Chaz gets into trouble and is abandoned by his new friends. Michael agrees to help him, even though they haven't spoken in a long time.Which sentence best states the complex theme of the passage? A.Popular people are not very good friends. B.Chaz learns a lesson about friendship. C.Friendship D.True friends will always be there for you. Select the inequality that corresponds to the given graph. graph of an inequality with a dashed line through the points negative 3 comma 0 and 0 comma 4 and shading below the lineA. 4x-3y>-12B. x+4y>4C. 4x-2y-16 Find the work done by a force f =1.8i^+2.2j^n as it acts on an object moving from the origin to the point r =56i^+31j^m. You are getting a line-up ready for a school kickball game. you have 55 girls and 55 boys. the rules state each child must kick the same number of times and alternate girl-boy or boy-girl. how many ways can a line-up be made for one round of kicking A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is: $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff. How much was the wage bill for the 3 full-time staff? Mood swings are psychological/emotional signs of addiction. a. True b. False As a country becomes healthier, what is most likely to happen regarding childhood mortality? From the side view, a gymnastics mat forms a right triangle with other angles measuring 60 and 30. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground? The function g(x) = 3(x - 3)2 + 2 will translate 3 units to the right. True or False? A covalent bond between two atoms occurs when the atoms Choice of ownership determines the degree to which each owner has personal liability for the firm's debts and the sources of funds available to the firm to finance future expansion. Because the majority of cell differentiation occurs during the ____ phase, this is the time when exposure to teratogens can do the most damage. Which of the following scenarios is representative of mutualism? Theodore roosevelts actions on conservation and regulation of business and abraham lincolns issuing of the emancipation proclamation are a few examples of: Find the area of the shaded region. The units are in millimeters. Use 3.14 for . Round your answer to two decimal places. Steam Workshop Downloader