In the figure below, triangle ABC is similar to triangle PQR, as shown below: What is the length of side PQ?


A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.

Answers

Answer 1
For two polygons to be considered similar, the corresponding angles need to be congruent and at the same time, the corresponding sides sides need to be proportional. 

The corresponding side of QR is BC 

BC = 2 and QR = 12
 As you can see QR is 6 times longer than BC and so PQ should be proportional to AB by the same factor. 

if AB is 4 then multiply that by 6:

4 x 6 = 24

Line PQ is 24
Answer 2

Answer:

Line PQ is 24



Related Questions

Rewrite 17/20 and 21/25, so that they have a common denominator then use <,>or = to order 17/20 and 21/25

Answers

The least common denominator is
20 = 2 * 2 * 5
25 = 5 * 5

The least common denominator has two 5s and two 2s.
LCD = 2*2*5*5 = 100

17/20 = 17 * 5/ 20*5 = 85 / 100
21/25 =  21* 4/25*4 = 84 / 100

Talk about close
17/20 > 21/25 <<<< answer

But I hate to have predicted that before hand.

A circle has radius of 119.3 mm. What is the circumstance of the circle

Answers

2πr
=2π(119.3)
=238.6π
=749.58mm
I'm guessing you were trying to say circumference so...
To find the circumference, you have to use the equation c=(pi) times r times 2
Plug in 119.3 to replace r, the radius, and you get:

About 749.5840071 mm  :)

The hypotenuse of a right triangle measures 10 inches, and the side opposite to ∠θ, one of the non-right angles, is 5 inches long. The measure of ∠θ is

Answers

The measure of angle theta is 30 degrees. 

This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees. 

You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees

which equation is equivalent to log3(x+5)=2

Answers

in exponential form: 10^2=3(x+5)
If we were to solve, x=85/3

10 POINTS!!!

Premier Tire sells three categories of tires: good, better, and best. The good tires cost $106, the better tires cost $156, and the best tires cost $190. The good tires sell 3 times as fast as the best tires and the better tires sell 2.5 times as fast as the best tires. If the total amount of tire sales in January was $233,480, how many of each category of tire was sold? (Round your answer to the nearest whole number.)

Answers

Let g, b, t represent the numbers of good, better, best tires sold. The problem statement gives rise to 3 equations.
.. 106g +156b +190t = 233,480
.. g -3t = 0
.. b -2.5t = 0

You can put these equations into your friendly equation solver to find
.. g = 780
.. b = 650
.. t = 260 (no rounding necessary)

780 good tires were sold
650 better tires were sold
260 best tires were sold

_____
If you want to solve these equations "by hand," substitution will work well. Substitute for b and g and solve for t. Then the values of b and g fall out immediately.
.. 106(3t) +156(2.5t) +190t = 233480

Leroy's total employee compensation was $50,150 last year. His total job expenses for traveling and for professional developement for the year were $3,500. Which of the following represents his total job benefits?
a.
$53,650
b.
$50,150
c.
$46,650
d.
$47,650


Answer is :
a.
$53,650
100% correct

Answers

Answer:

Correct answer is a.$53,650

Step-by-step explanation:

Total job benefits includes both employee compensation and the expenses for traveling and for professional development for the year.

So we need to add those together to fond the total job benefits.

Total job benefits = employee compensation + expenses for traveling and for professional development

Total job benefits = $[tex]50,150+3500[/tex]

                              =$[tex]53,650[/tex]

Therefore correct answer is a.$53,650

Answer:

a. $53,650

Step-by-step explanation:

Compounding with different interest rates a deposit of $750 earns interest rates of 10.5 percent in the first year and 7.5 percent in the second year. what would be the second year future value? $890.91 $885.00 $829.43 $1,635.00

Answers

1. You have:

 FV=PV(1+i)(1+j)

 FV is the future value.
 PV is the present value (PV=$750).
 i=10.5%=0.105
 j=7.5%=0.075

 2. Therefore, you only have to substitute these values into the formula FV=PV(1+i)(1+j) to obtain the Future value:

 FV=PV(1+i)(1+j)
 FV=$750(1+0.105)(1+0.075)
 FV=$750(1.105)(1.075)

 3. Then, the result is:

 FV=$890.91

 What would be the second year future value?

 The answer is: $890.91

Texas has 254 counties, California has 58 counties, Florida has 67 counties,how many more counties does texas have than the number of counties in California and Florida combined

Answers

The answer is 129. California and Florida have a combined total of 125 counties. If you are trying to figure out how many more Texas has than the combined total of Florida and California, you would do 254-125, which equals your answer of 129.

Is the given sequence arithmetic? If so, identify the common difference. 3.2, 3.5, 3.8, 4.1, . . .

Answers

3.5 - 3.2 = 3.8 - 3.5 = 4.1 - 3.8 = 0.3 (common difference)
Yes the common difference is .3

If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?

Answers

point A' will lie at (1,1).

Answer:

A' would be return to its original position .

Step-by-step explanation:

Given  : If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°.

To find  : where would point A' lie.

Solution : We have given that ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°

By the reflection rule over y axis .( x ,y) →→ ( -x ,y)

Suppose  A ( x ,y) if we reflect it over y axis then

A( x ,y) →→ A'( -x ,y)

Now reflect it over x axis (-x ,y) →→( -x ,-y)

Now rotate by 180° it become ( -x, -y) →→( x ,y)

Hence , it return to its original position .

Therefore, A' would be return to its original position .

) find the function satisfying the y′−3y=9e6t y′−3y=9e6t and y(0)=3.y(0)=3.

Answers

Consider, pls, this option (3 steps).

given than segment FE is parallel to segment DG, which of the following statements is no true

Answers

The last one (D) is not right. The corresponding lines share the same ratio but they need not be equal.

D <<<< answer.

Mario has 3.875 liters of juice at the beginning of the day he drinks 2.79 liters during the day how much juice is left over st the end of the day

Answers

Answer:

The juice left at the end of the day is 1.085 liters.

Step-by-step explanation:

Juice at the beginning of the day: 3.875 liters

Juice drink by Mario during the day: 2.79 liters

Juice left at the end of the day = Juice at the beginning of the day - Juice drink by Mario during the day

                                                  = 3.875 - 2.79

                                                  = 1.085 liters

A dice is rolled, then a coin is tossed. What is the probability of getting a 5 then tails?

Answers

Final answer:

The chance of rolling a 5 on a six-sided dice is 1/6, and the probability of getting a tails in a coin toss is 1/2. The total probability of both these independent events occurring is (1/6) * (1/2) = 1/12 or approximately 0.0833 on a decimal scale.

Explanation:

The question is asking for the probability of rolling a 5 on a dice and then getting a tails on a coin toss. To get the total probability, we multiply the individual probabilities together.

First, let's consider a fair six-sided die. The chance of rolling a 5 (or any specific number between 1 and 6) is 1/6.

Next, we consider a fair coin, which has two outcomes: heads or tails. So, the probability of getting tails is 1/2.

The total probability of both these events occurring is (1/6) * (1/2) = 1/12. So, the probability of rolling a 5 and then tossing a tail is 1 in 12 or approximately 0.0833 on a decimal scale.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ12

Order the numbers 0.64, 2/3 , 65%, and 7/10 from least to greatest.

Answers

0.64
2/3  = 0.67
65% = 0.65
7/10 = 0.70

answer
Order from least to greatest: 0.64, 65%, 2/3  and 7/10

Answer:

0.64, 65%, 2/3, 7/10

Step-by-step explanation:

The first step to solve this problem is writing all numbers on the same format:

I am going to write as percentages in the decimal format. So

0.64 = 0.64

2/3 = 0.667

65% = 65/100 = 0.65

7/10 = 0.7

So the correct answer is:

0.64, 65%, 2/3, 7/10

Rewrite the standard equation in slope-intercept form: 3x-8y=24

Answers

3x-8y=24
-3x           -3x

-8y=-3x+24

Divide by -8 on both sides

[tex]y= -\frac{3}{8}x +3[/tex]

The equation 3x - 8y = 24 can be written in slope intercept form as y = [tex]\frac{3}{8}[/tex] x - 3.

What is Slope?

Slope of a line is defined as the value of the change in the values of the y coordinates with respect to the change in the values of the x coordinate.

It can also be defined as the tangent of the angle that the line makes with the X axis.

The standard equation of a line in slope intercept form is, y = mx + c, where m is the slope and c is the y intercept.

y intercept is the y coordinate when the line touches with the Y axis. The x coordinate of that point will be zero.

The given equation is,

3x - 8y = 24

Subtracting both sides of the equation with -3x,

3x - 8y - 3x = 24 - 3x

-8y = 24 - 3x

Dividing both sides by -8, we get,

y = -3 + [tex]\frac{3}{8}[/tex] x

y =  [tex]\frac{3}{8}[/tex] x - 3

Hence the standard equation in slope intercept form for 3x - 8y = 24 is  y = [tex]\frac{3}{8}[/tex] x - 3.

To learn more about Slope, click on the link given below:

https://brainly.com/question/3605446

#SPJ5

An artist wants to reduce the size of a drawing using a scale factor of 3:13:1 . The original drawing has an area of 720 square inches. What is area of the new drawing? Enter your answer in the box.

Answers

When shrinking an image, the size of each side is shrunk by the scale factor.  However the area is not shrunk by the same factor.  Area is a squared measurement (when finding the area of a rectangle we take length x width; two measurements, so a squared answer), so the area will be shrunk by the scale factor squared; in this case the area is shrunk by 3² or 9.  This means the new area would be 720/9 or 80 square inches.

Answer: 80

MsEHolt is correct, the answer is 80[tex]in^2[/tex]

a sticker price on a new vehicle is $33985 , but the dealer cost is $27700 and you want to offer 4% over the dealer cost. what would be the offered amount?

Answers

To find the price of the dealer cost, you should multiply 27700 by 4% and add the amount to 27700. 

4%, in decimal form (so we can easily multiply it), is 0.04. 

27700 * 0.04 = 1108

27700 + 1108 = 28808

The answer is 28808 dollars. 

To the nearest tenth, find the perimeter of ∆ABC with vertices A(-1,4), B(-2,1) and C(2,1). Show your work

Answers

[tex]AB= \sqrt{(-2-(-1))^2+(1-4)^2}= \sqrt{1+9}= \sqrt{10} \approx 3.2\\\\ BC= \sqrt{(2-(-2))^2+(1-1)^2}= \sqrt{16}=4\\\\ AC= \sqrt{(2-(-1))^2+(1-4)^2}= \sqrt{9+9}= \sqrt{18} \approx 4.2 \\\\ P_{ABC}=AB+BC+AC=3.2+4+4.2=11.4[/tex]

The perimeter of ∆ABC = 11.4 units

ANSWER

The perimeter is 11.4 units


EXPLANATION


Perimeter is the distance around the figure.

We use the distance formula,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]


to determine the length of all the sides and add them.



[tex]|AB|=\sqrt{(-2--1)^2+(1-4)^2}[/tex]


[tex]|AB|=\sqrt{(-1)^2+(-3)^2}[/tex]


[tex]|AB|=\sqrt{1+9}[/tex]


[tex]|AB|=\sqrt{10} \approx 3.162[/tex]


[tex]|AC|=\sqrt{(2--1)^2+(1-4)^2}[/tex]


[tex]|AC|=\sqrt{(2+1)^2+(1-4)^2}[/tex]


[tex]|AC|=\sqrt{(3)^2+(-3)^2}[/tex]


[tex]|AC|=\sqrt{9+9}[/tex]


[tex]|AC|=\sqrt{18} \approx 4.24[/tex]


[tex]|BC|=\sqrt{(2--2)^2+(1-1)^2}[/tex]


[tex]|BC|=\sqrt{(2+2)^2+(1-1)^2}[/tex]


[tex]|BC|=\sqrt{(4)^2+(0)^2}[/tex]


[tex]|BC|=\sqrt{14}=4[/tex]


Therefore perimeter=[tex]|AB|+|BC|+|AC|[/tex]


=[tex]4.00+3.16+4.24[/tex]


=[tex]11.40[/tex] units

















Simplify the expression. 12P5 : 11,880 95,040 7,920 1,235,520

Answers

The number of permutations of 12 different items taken five at a time is:

So the correct answer is B. 95,040

So the correct answer is B. 95,040

Please help me with questions 20

Answers

Answer: B) 34 degrees

--------------------------------------------------------------

tan(angle) = opposite/adjacent
tan(x) = 100/150
tan(x) = 2/3
x = arctan(2/3)
x = 33.6900675
which rounds to 34 degrees

A principal of $2000 is invested at 8% interest, compounded annually. How much will the investment be worth afte 5 years?

Answers

If 8% of $2000 is added annually, then start with the first year.

8% of $2000 = 2000 · 0.08 which equals $160. So $160 is added the first year.
2. 2160 · 0.08 = $172.8 = $2332.80
3. 2332.80 · 0.08 = $186.624 = $2519.424
4. 2519.424 · 0.08 = $201.55392 = $2720.97792
5. 2720.97792 · 0.08 = $217.6782336 = $2938.6561536

Rounded to the nearest hundredth, after 5 years there will be $2938.66.

Explain how you can use a model to find 4X 3/8. Include a drawing and a solution

Answers

Draw 4 models, split them into eighths,in each of them shade 3/8......4/1 x 3/8 = 12/8 or 1 4/8 or 1 1/2

John ran the​ 100-m dash with a time of 9.96 sec. If this pace could be maintained for an entire 26-mi ​marathon, what would his time​ be?

Answers

Final answer:

By calculating the average speed of a 100-meter dash and then applying it to the marathon distance, it would take approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds to complete a 26-mile marathon at that pace.

Explanation:

The student is asking how long it would take for someone to run a 26-mile marathon if they maintained the same speed as a 100-meter dash completed in 9.96 seconds. To calculate this, we first need to find the runner's average speed during the 100-meter dash. The speed (v) is distance (d) divided by time (t), so:

v = d / t = 100 meters / 9.96 seconds = 10.04 meters/second

Next, we convert the marathon distance from miles to meters. There are 1,609.34 meters in a mile, so:

26 miles * 1,609.34 meters/mile = 41,842.84 meters

To find the time (t) to run the marathon, we divide the total distance by the average speed:

t = 41,842.84 meters / 10.04 meters/second = 4,167.49 seconds

Finally, we convert seconds to a more understandable unit of time, hours and minutes:

4,167.49 seconds / 60 seconds/minute = 69.46 minutes
69.46 minutes / 60 minutes/hour ≈ 1.16 hours

So, John would complete the marathon in approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds if he could maintain his 100-meter dash pace for the entire marathon.

Describe two different methods to find the elapsed time from 2:30 PM to 2:58 P. M.

Answers

Method 1:

Subtract 2:30 directly from 2:58. 

2:58 - 2:30 = 0:28

Method 2:

Round 2:58 to 3:00, subtract 2:30 from 3:00, and subtract 2 (2:58 + 2 = 3:00)

2:58 is approximately 3:00

3:00 - 2:30 = 30 min

30 min - 2 min = 28 min

Hope this helps!

A spherical helium balloon has a diameter of 30 cm. How much helium is needed to fill the balloon, in cubic centimeters? Round your answer to the nearest centimeter

Answers

if the diameter is 30, then the radius is half that, or 15

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\quad \begin{cases} r=radius\\ -----\\ r=15 \end{cases}\implies V=\cfrac{4\pi 15^3}{3}[/tex]

Beethoven wrote 9 symphonies and mozart wrote 27 piano concertos. if a university radio station announcer wishes to play first a beethoven symphony and then a mozart concerto, in how many ways can this be done?

Answers

Final answer:

There are 243 different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, calculated by multiplying the number of Beethoven symphonies (9) by the number of Mozart concertos (27).

Explanation:

To determine how many different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, we use the fundamental principle of counting. Since there are 9 Beethoven symphonies and 27 Mozart piano concertos, we multiply the two numbers together.

The calculation is as follows:

Beethoven symphonies: 9 optionsMozart concertos: 27 options

Therefore, the total number of combinations for playing one Beethoven symphony followed by one Mozart concerto is:

9 symphonies × 27 concertos = 243 possible combinations

This shows there are 243 different ways the radio station announcer can choose a pairing of a Beethoven symphony and a Mozart concerto to play back-to-back.

Learn more about Combinations here:

https://brainly.com/question/30646507

#SPJ6

What is the sum of the polynomials? (8x2-9y2-4x)+(x2-3y2-7x)

Answers

The sum of the polynomials (8x²-9y²-4x)+(x²-3y²-7x) is:

 1. You must add the terms whose variables and exponents are the same. 
 2. Let's rewrite the polynomials:

 (8x²-9y²-4x)+(x²-3y²-7x)
 8x²-9y²-4x+x²-3y²-7x
 (8+1)x²+(-4-7)x+(-9-3)y²

 3. Therefore, the result is:

 9x²-11x-12y²

 3. What is the sum of the polynomials?

 The answer is: 9x²-11x-12y²

Answer:

D

Step-by-step explanation:

54 equals 9 more than a number t

Answers

54 equals 9 more than a number t.

"more than" indicates addition. 9 more than a number t is t + 9:

54 = t + 9

If you need the solution, it follows:

54 = t + 9
45 = t
t = 45

Hope this helps!

Evelyn is waiting in line for concert tickets. She is 2.5 blocks from the ticket booth. 16 blocks equals 1 mile. Each person takes up about 2 feet in the line. Which calculation can be used to find about how many people are ahead of Evelyn in line?

Answers

Step 1
Convert blocks to miles
I apply a rule of three
16 blocks equals----------------- >  1 mile
2.5 blocks ----------------------------> X
X=2.5/16=0.15625 miles

Step 2
Convert miles to feet
we know that
1 mile-------------> 5280 feet
0.15625 miles-----X
X=0.15625*5280= 825 ft

Step 3
Convert feet to numbers of persons in line
we know that
1 person--------------> 2 ft
X--------------------> 825 ft
X=825/2=412.5------------> 413 persons

the answer is about 413 persons are ahead of Evelyn in line

Answer:

1/2 person over feet

Step-by-step explanation:

yw!

Other Questions
HELP PLEASE! 3.64|5.3|1.53 ^ Absolute value of -5.3 Michael has a total of 15 bills that are either $1 bills or $5 bills. If the total amount of money he has is $47, how many $5 bills does he have? HELP! Im writing a paper about why pets are good, I need the introduction! Someone?? :) At sea, the distance D to the horizon is directly proportional to the square root of the elevation E of the observer. If a person who is 36 feet above the water can see 7.4 miles, find how far a person 49 feet above the water can see. twelve inches longer than width Who rushed to enlist after lincoln's emancipation proclamation? A culture started with 6000 bacteria after 3 hours ot grew to 7200 bacteria Predict how many bacteria will be present after 19 hours which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28 Patrick is constructing the circumscribed circle for RST.Which construction could be his first step?Construct the perpendicular bisector of ST .Construct the angle bisector of T .Construct a copy of S that is adjacent to R .Construct the angle bisector of R . In glacial erosion by abrasion, a glacier _____.A. melts entirely before it begins eroding the landscapeB. produces rock flour by grinding the rock surface beneath itC. loosens and lifts blocks of rock as it flows over the surfaceD. plucks up rocks and incorporates them into its ice The _____ yoke was smooth and polished from long use. oxes' oxens' oxes's oxen's The model of teaching in which the typical lecture and the homework elements of a course are reversed is called s Which statement accurately describes what happens when water turns to stream in terms of energy?A. The water releases energy which causes chemical bonds to break, changing water to steam.B. The water releases energy which causes the water molecules to have less kinetic and potential energy, changing their configuration from liquid to gas.C. The water absorbs energy which causes chemical bonds to break, changing water to steam.D. The water absorbs energy which causes the water molecules to have more kinetic and potential energy, changing their configuration from a liquid to a gas. 5. Levi is reading the script of a play. He notices that on one page a major character speaks alone on the stage to reveal private thoughts. What is this kind of dramatic speech called? A. a quotation B. an aside C. a soliloquy D. a monologue When a chemical substance has either lost an electron or gained an oxygen? How would soaps made from vegetables oils differ from soaps made from animal fats? How is the production of mercury from burning coal an environmental hazard? In 1956, President Nasser created an international crisis when he _____. Classify methanol (ch3oh) as a strong electrolyte, a weak electrolyte, or a nonelectrolyte. Which of the following has the strongest intermolecular forces?A) XeB) H2C)CO2D)CH4