in this figure ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90cm^2. Find PT:TR please help me ​

Answers

Answer 1

Answer: The required ratio is PT:TR  = 1:2.

Step-by-step explanation:

Given: In triangle PQR, ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90 cm².

To find : PT:TR

.i.e. Ratio of PT to TR.

Here, PT:TR[tex]=\dfrac{PT}{TR}[/tex]

[tex]=\dfrac{4\ cm}{8\ cm}[/tex]

Divide numerator and denominator by 4 , we get

[tex]\dfrac{1}{2}[/tex]

Therefore, the required ratio is PT:TR  = 1:2.

In This Figure ST || QR, PT = 4cm, TR = 8cm, Area Of PQR = 90cm^2. Find PT:TR Please Help Me

Related Questions

Find the measure of b

Answers

Answer:

b = 76°

Step-by-step explanation:

According to the inscribed angles proposition, the measure of an inscribed angle in a semicircle is said to be 90°.

Therefore, in the figure given, m<a = 90°

b = 180° - (90° + 14°) => sum of angles in a triangle.

b = 180° - 104°

b = 76°

3/4a−16=2/3a+14 PLEASE I NEED THIS QUICK and if you explain the steps that would be geat:) Thank youuuuuuu

Answers

Answer:

360

Step-by-step explanation:

3/4a - 16 = 2/3a + 14               ⇒ collect like terms 3/4a - 2/3a = 14 + 16               ⇒ bring the fractions to same denominator9/12a - 8/12a = 30                  ⇒ simplify fraction1/12a = 30                               ⇒ multiply both sides by 12a = 30*12a = 360                                   ⇒ answer

what is the range and domian of y=(x-4)

Answers

The answer is 8 because 4 over 4 up for y

1A-MATH
Diviwuetalls
2 Exercise 7:
Your ansv
Type you
The three angles in a triangle are labeled A, B and C.
A = 2x
B= 3x
C=4x
Private coi
1) calculate X
2) find the actual angle of B
3) find the exterior angle to B

Answers

Answer:

Value of x = 20°

Angle B = 60°

Exterior angle to B = 300°

Step-by-step explanation:

Given:

Angles of triangle.

A = 2x

B = 3x

C = 4x

We know that,

A + B + C = 180°

2x + 3x + 4x = 180°

9x = 180°

x = 20°

Value of x = 20°

Angle B = 3x

Angle B = 3(20°)

Angle B = 60°

Exterior angle to B = 360° - 60°

Exterior angle to B = 300°

35.
What is the equation of the line that is
parallel to y = 4x + 3 and passes through
the point (2,6)?

HELP! answer if you can!​

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{y = 4x - 2}[/tex]

Given line with an equation of y = 4x + 3

Parallel lines contain equivalent slopes, so a parallel line to the given equation would contain a slope of m = 4.

Plug in the coordinates of the point given, along with the slope into the equation y = mx + b where:

m = slope

y = y-coordinate of point

x = x-coordinate of point

Solve for the 'b' value, or y-intercept:

y = mx + b

6 = 4(2) + b

6 = 8 + b

b = -2

Rewrite the equation as slope-intercept form:

y = 4x - 2

Answer:

When you see the word "parallel", you know the new line will have the same slope.

parallel to y = 4x + 3

So, the new line will have a slope of 4

"Indicate the region where y≥ 4x + 3

Plot y= 4x + 3 by finding the points that make it true. For example, (y = 0, x = 3/4), (y = 2, x = 2) and so on.

y = 4x + b

b is the y intercept ( point y when x = 0)

Insert new coefficients:

+2 = 4(0) + b

b = +2

y = 4 + 2

[tex] \: [/tex]

If we did not write the equation 5x=21, instead we wrote it 21=5x,
we would get a different solution.
O True
O False

Answers

True we would get a different solution

Answer:

Step-by-step explanation:

5x = 21 and 21 = 5x are identical relationships, and so the solution would be the same in both cases.  (Commutative Property:  order of addition/subtraction is immaterial)

Maurice needs 45 exam review books for the students in his math class. The local bookseller will sell him the books at $3 each. He can also purchase them over the internet for $2 each plus $35 for postage. How much does he save by accepting the better offer?

Answers

Answer: he will save $42.50

Step-by-step explanation:

45÷3=15

45÷2+35=57.50

57.50-15= $42.50

Anna is planting in her garden the package says she needs to use 4 punds od fertilizer for 120 sqft the area of annas yard is 180 how much fertilizer is needed for the 180 sqft garden

Answers

Answer:

6 pounds

Step-by-step explanation:

The area of Anna's garden = 180 square feet

From the question, we know that:

120 square ft = 4 pounds of fertilizer

180 square ft = y

Cross Multiply

120 × y = 4 × 180

y = 4 × 180/120

y = 720/120

y = 6 pounds

Therefore, the amount of fertilizer that is needed for Anna's 180 square feet garden is 6 pounds.

it has rained on the 6th of january twice in the last 20 years calculate the probability that it will rain on the 6th january next year​

Answers

There is obviously an infinite amount of probabilities in which it will rain on the 6th of January

But 50/50, because just because it happened other times doesn’t mean it’ll happen again

Hope this helped ♥︎

I NEED HELP PLEASE :(

Answers

Answer:

7/8

Step-by-step explanation:

power of 1/2 is the same as square root.

√(49/64) = 7/8 since 7/8 * 7/8 = 7*7/8*8 = 49/64

Solve for y
4x + 7y +5

Answers

To find the slope, m, of the line represented algebraically by the given linear equation in two variables: 4x = 7y + 5, first put the given equation in the slope-intercept form of the equation of a straight line, i.e., y = mx + b, as follows:

4x = 7y + 5 (Given)

4x - 5 = 7y + 5 - 5

4x - 5 = 7y + 0

4x - 5 = 7y

7y = 4x - 5 since equality is symmetric, i.e., if a = b, then b = a.

(7y)/7 = (4x - 5)/7

(7/7)y = (4x)/7 - 5/7

(1)y = (4/7)x- 5/7

y = (4/7)x - 5/7

From the last step above, the given equation is now in the slope-intercept form of the equation of a straight line: y = mx + b, i.e., y = (4/7)x - 5/7; therefore, we can now see by observation, that the slope of the line is m = 4/7 which means that the line has a positive slope, i.e., it's > 0, which means that if the line were to be constructed on a Cartesian coordinate system, it would slope upward from left to right and would intersect the y-axis at the point (0, -5/7).

A taxi cab company charges a flat rate of $2.00 per trip plus $0.25 per mile of the trip. If m is the number of miles traveled on a particular trip, interpret the following expressions: a) 0.25m b) 2.00 + 0.25m

Answers

Answer:

b) 2.00 + 0.25m

Step-by-step explanation:

2.00per trip and $0.25 per mile = 2.00 + 0.25m

Answer:

see below

Step-by-step explanation:

a) 0.25m

This is the cost of the mileage alone

The cost is 25 cents per mile times m miles

b) 2.00 + 0.25m

This is the total cost of the trip

There is a 2 dollar flat rate fee plus the cost of the miles

2 dollars plus m miles at 25 cents per mile

Find the missing the side of the triangle. A. 0 yd B.√30 yd C. 2√5. yd D. √17 yd

Answers

Answer:

x = 2√5 yd

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

a² = b² - c²

where a is the hypotenuse

From the question x is the hypotenuse

Substitute the values into the above formula

We have

[tex] {x}^{2} = ( { \sqrt{10} })^{2} + (\sqrt{10} )^{2} [/tex]

[tex] {x}^{2} = 10 + 10[/tex]

[tex] {x}^{2} = 20 [/tex]

Find the square root of both sides

We have the final answer as

x = 2√5 yd

Hope this helps you

Which expressions are equivalent to -2y-8+4y−2y−8+4yminus, 2, y, minus, 8, plus, 4, y ? Choose all answers that apply: Choose all answers that apply: (Choice A) A -2(y+4)+4y−2(y+4)+4yminus, 2, left parenthesis, y, plus, 4, right parenthesis, plus, 4, y (Choice B) B 4(-2+y)-2y4(−2+y)−2y4, left parenthesis, minus, 2, plus, y, right parenthesis, minus, 2, y (Choice C) C None of the above

Answers

Answer:

C. None of the above. The correct expression is  2(y-4)

Step-by-step explanation:

Given the expression -2y-8+4y, we are to find the equivalent expressed is which other expression is similar to it. This can be expressed as shown below;

Step 1: Collect the like terms of the expression

= -2y-8+4y

= (-2y+4y)-8

Step 2: Sum up the terms in parenthesis:

=  (-2y+4y)-8

= 2y-8

Step 3: factor out the common terms

= 2y-8

= 2(y-4)

Hence the equivalent expression is 2(y-4).

Answer:

A and B

Step-by-step explanation:

On Khan Academy its right.

Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?

Answers

Answer:

She needs to jog 7 laps to make sure she covers at least 7.5 miles

Step-by-step explanation:

Kelly's goal is to complete 7 1/2 miles which in decimal form is: 7.5 miles.

Each lap around the park is 1 1/5 miles, which in decimal form is written as: 1.2 miles

Then, to find how many laps she needs to complete we do the quotient:

7.5/1.2 = 6.25

which means that she needs a quarter of a lap more than 6 laps, so she needs to go for 7 laps to meet the goal

Paul, a dentist, determined that the number of cavities that develops in his patient's mouth each year varies inversely to the number of seconds spent brushing each night. His patient, Lori, had 4 cavities when brushing her teeth 30 seconds each night. Write the equation that relates the number of cavities, c, to the time, t, spent brushing. How many cavities would Paul expect Lori to have if she had brushed her teeth for 120 seconds each night?

Answers

Answer:

Step-by-step explanation:

Inverse variation is written as

[tex]y=\frac{k}{x}[/tex] which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then

[tex]c=\frac{k}{t}[/tex]

We are given the initial condition for which we need to solve for k:

c = 4 when t = 30:

[tex]4=\frac{k}{30}[/tex] so

k = 120.

Now we will use that value of k to solve the problem of how many cavities, c, would she have if she brushed her teeth 120 seconds, t, each night:

[tex]c=\frac{120}{120}[/tex] (the 120 on top is the k value and the 120 on the bottom is the number of seconds she brushed) to get

c = 1

Answer:

1 cavity

Step-by-step explanation:

The inverse equation is x*y=k, where x is the amount of cavities, y is the time brushed, and k is a constant number. In your scenario, x is c and y is t, but you can really use any name for the variable. In the first equation 23 have 4*30=120, which is just a constant number. now that we know our constant, we can plug is into our second equation, and we get c*120=120. By dividing both sides by 120, c=1. This means that Paul will have 1 cavity.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expression.

Answers

Q:(1+5•2+(1+3)2=27
0.25•43-1=15
4+8(1/4+2)=22

Answer:

(1+5*2+(1+3))2=27

0.25*43-1=15

4+8(1/4+2)=22

Step-by-step explanation:

I used a scientific calculator ;)


16. Acme car rental agency charges a fee of $29 per day plus $0.15 per
mile. Travel Ease car rental agency charges $20 per day plus $0.25 per
mile. For a one-day trip, what mileage would make the two rates equal?

Answers

Answer:

90 miles

Step-by-step explanation:

0.15x + 29 = y ---- acme car agency

0.25 x + 20 = y ---- travel ease agency

0.15x + 29 = 0.25x + 20

9 = 0.1x

x = 90

what is this equation in simplest form? 9x + 26 + 7x - 17 = 2x + (-3x) + 5x

Answers

Answer:

4x+3=0 or x=-3/4

Step-by-step explanation:

9x+26+7x-17=2x-3x+5x

arrange all numbers with coefficient x at one side let's say the left hand side and constant or real numbers at the right hand side in doing that we get

9x+7x-2x+3x-5x=17-26

12x=-9

(12x)/3=-9/3

4x=-3

x=-3/4

Ahmad has some files.
He gave 3/5 of the files and had 14 files left.

How many files did he have at first?​

Answers

Answer:

The answer is 35

Step-by-step explanation:

Let the number of files he had be x

He gave 3/5 of the files

That's

3/5x

After that he still had 14 files left which means when we subtract 14 from the original files we should get 3/5 of the original files

So we subtract 14 from the original number of files

That's

x - 14

We equate the two statements

that's

[tex] \frac{3}{5} x = x - 14[/tex]

Multiply through by 5

[tex]5 \times \frac{3}{5} x = 5x - 70[/tex]

We have

3x = 5x - 70

3x - 5x = 70

-2x = - 70

Divide both sides by -2

We have the final answer as

x = 35

Therefore he had 35 files at first

Hope this helps you

Answer:

35 files

Step-by-step explanation:

gave=3/5

left=2/5 = 14f

had= 5/5

2/5=14

5/5

5×14÷2 = 35

To make a net from a container, you start by cutting one of the seams along the edge where the two sides meet. If you wanted to make a different net for the container, what would you do differently?

Answers

Answer:

I would not separate the same edges when making a second net. Also,  I would make sure that the result cannot be rotated or flipped so that it is the same  as the first.

Step-by-step explanation:

An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane from the airport (round to the nearest mile)? (2 points) PLEASE HELP ASAP 30 POINTS!!!!!!! need full explanation and work

Answers

Answer:

299.99 miles

Step-by-step explanation:

Since the plane traveled due west,

The total angle is 49.17 + 90

Represent that with θ

θ = 49.17 + 90

θ = 139.17.

Represent the sides as

A = 170

B = 150

C = unknown

Since, θ is opposite side C, side C can be calculated using cosine formula as;

C² = A² + B² - 2ABCosθ

Substitute values for A, B and θ

C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17

C² = 22500 + 28900 - 51000 * Cos 139.17

C² = 51400 - 51000 (−0.7567)

C² = 51400 + 38,591.7

C² = 89,991.7

Take Square Root of both sides

C = 299.9861663477167

C = 299.99 miles (Approximated)

Hence, the distance between the plane and the airport is 299.99 miles

Indi, Mark, and Tess each pick a slip of paper with a subtraction
expression written on it. The person holding the card with the
greatest value wins a prize. Who wins the prize?

Answers

Answer:

Tess wins the prize.

Step-by-step explanation:

[tex]\boxed{\text{Indi}: 2-3}[/tex]

[tex]\boxed{\text{Mark}: -7-(-4)}[/tex]

[tex]\boxed{\text{Tess}: -1-(-7)}[/tex]

The expression of Indi's card is 2 - 3 = -1

The expression of Mark's card is -7 - (-4) = -7+4= -3

The expression of Tess's card is -1 - (-7) = -1+7= 6

what is -7 + 11 - 14 + 3 + 12​

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 (Follow PEMDAS left—>right)

Emily's family loves to work together in the garden.They have a slight preference for flowers, as 60\%60%60, percent of their plants are flowers and 40\%40%40, percent are vegetables. They have 505050 plants growing in the garden. How many vegetable plants do they have?

Answers

50 plants total, 40% are vegetables

40% = 40/100 = 0.40

40% of 50 = 0.40*50 = 20

Answer: There are 20 vegetable plants

Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the
meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi
comes in rolls, and each roll contains 12 pieces and costs $8.
Let R represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:

Answers

Answer:

The answer is given below

Step-by-step explanation:

The options are not given but I would list the inequalities needed to solve this problem.

As a result of increase in people to attend meeting, the number of sushi needed to be ordered is 100 pieces. Sofia has already ordered 24 pieces. If R is the number of additional rolls that Sofia orders.

The number of additional rolls that Sofia orders (R) must be greater than or equal to the difference between the number of Sushi needed to be ordered and the number of Sushi that has already being ordered. It is given by the inequality:

R ≥ 100 - 24

R ≥ 76

If each roll contains 12 pieces, the number of rolls needed (n) is given by:

n ≥ R/12

n ≥ 76/12

n ≥ 6.33

n ≥ 7

If each roll cost $8, the money needed to buy the sushi is given as:

Cost ≥ 8(7) ≥ $56

a man bought a car for 8500 GH cedis and he later sold it at for 9500. find his percentage gain

Answers

Answer:

11.7647059 % gain

Step-by-step explanation:

To find the gain, take the new amount and subtract the original amount

9500-8500 = 1000

Divide by the original amount

1000/8500=.117647059

Multiply by 100% to get in percent form

11.7647059 % gain

Please help i need help answering these math problems i listed below

Answers

Answer:

Step-by-step explanation:

1) (-13)* .......(-13) for 35 times = (-13)³⁵

2) (2/3) *  ...... * (2/3) for 4 times = (2/3)⁴

3)(-3.1)* ......(-3.1) for 4 times = (-3.1)⁴ = 92.2531

Write an absolute value equation to satisfy the given solution set shown on a number line.

Answers

Answer:

Step-by-step explanation:

|x-a|≤b

-b≤x-a≤b

add a

a-b≤x≤a+b

put a-b=-8

a+b=-4

add

2a=-12

a=-12/2=-6

-6+b=-4

b=-4+6=2

so |x+6|≤2

What is the domain of the function shown on the graph?

Answers

Answer: Choice D [tex]-\infty < x < \infty[/tex]

This is another way of saying "the set of all real numbers". This is because there are no restrictions we must place on x. The graph extends infinitely in both left and right directions as the arrows indicate. Any x value can be plugged in to get some y output.

In interval notation, the domain would be written as [tex](-\infty, \infty)[/tex]

Other Questions
please help with this math question The largest religion in India today A la propiedad fundamental de las proporcionas, comprueba si las siguientes son o no hay elementos a) 5/7 a 15/21 b) 20/7 a 5/3 c) 16/8 a 4/2 On Monday, the seller offers to sell his vacant lot to the buyer for $42,000. On Tuesday, the buyer counteroffers to buy for $40,500. On Friday, the buyer learns that several other prospects may be making offers on the property, so he withdraws the counteroffer and agrees to the original asking price of $42,000. Under these conditions, there is Cada par de numeros esta a razon de 2:3 Which of the following do performance evaluation tests NOT measure? 15.Vicinal coupling is:A)coupling between 1H nuclei attached to adjacent C atoms.B)coupling between 1H nuclei in an alkene.C)coupling between 1H nuclei attached to the same C atom.D)coupling between 1H nuclei in an alkane. Fallon Company uses flexible budgets to control its selling expenses. Monthly sales are expected to range from $166,400 to $201,500. Variable costs and their percentage relationship to sales are sales commissions 7%, advertising 6%, travel 4%, and delivery 1%. Fixed selling expenses will consist of sales salaries $34,900, depreciation on delivery equipment $6,600, and insurance on delivery equipment $1,700. Prepare a monthly selling expense flexible budget for each $11,700 increment of sales within the relevant range for the year ending December 31, 2020. Find the measure of each angle indicated. Round to the nearest tenth.A) 49C) 38.1B) 44.90D) 42.89Can you please help explain how to find the answer A ship leaves the port of Miami with a bearing of S80E and a speed of 15 knots. After 1 hour, the ship turns 90 toward the south. After 2 hours, maintain the same speed. What is the bearing to the ship from port? he sales of the Garland Corporation are projected to grow exponentially for the years between 2010 and 2015 from $110 million to $160 million. (a) Find a model giving the sales of Garland Corporation in year t between 2010 (t Jamal lost his job as a shipbuilder. His plant closed down "temporarily" but never reopened and will not. Jamal's skills are very specialized and no longer in demand. His unemployment is best classified as . an idea/belief is to a ____ as a research prediction is to a ____ According to Piaget, children have acquired the cognitive skill of conservation when they're able to A 95% confidence interval indicates that:A. 95% of the intervals constructed using this process based on samples from this population willinclude the population meanB. 95% of the time the interval will include the sample meanC. 95% of the possible population means will be included by the intervalD. 95% of the possible sample means will be included by the interval Read the passage and answer the question: Leonard Zachary Bartholomew is the greatest cat who ever lived. When he lounges on the windowsill and watches birds and joggers, the entire neighborhood is filled with his benevolent presence. Which term best describes the passage? A. Situational irony B. Hyperbole C. Understatement D. Imagery In a survey of 119 students, it was found that 16 drink neither coke nor Pepsi 69 drinks coke and39 drink pepsiHow many students drink Coke only?How many students drink Pepsi only?Show the above information in a Venn diagram. Solve 3x square - 2 x + 7 x - 5 g Which ONE of the following pairs of organic compounds are NOT pairs of isomers? A) butanol ( CH3-CH2-CH2-CH2-OH ) and diethyl ether ( CH3CH2OCH2CH3 ) B) isopentane ( (CH3)2-CH-CH2-CH3 ) and neopentane ( (CH3)4C ) C) ethanolamine ( H2N-CH2-CH2-OH ) and acetamide ( CH3-CO-NH2 ) D) acrylic acid ( CH2=CH-COOH ) and propanedial ( OHCCH2CHO ) E) trimethylamine ( (CH3)3N ) and propylamine ( CH3-CH2-CH2-NH2 ) PLEASE HELP ME!!! I will mark brainliest!!! The image above shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?