Find the measure of PR.
PLEASE HELP ASAP!!
A. 18
B. 19
C. 25
D. 22

Find The Measure Of PR.PLEASE HELP ASAP!!A. 18B. 19C. 25D. 22

Answers

Answer 1

Answer:

A. 18

Step-by-step explanation:

the equation :

RF×RS = PR×RQ

16×9 = PR × 8

144 = PR×8

PR = 144/8

PR = 18

Answer 2

If the length of FR is 16 units then the length of PR is 18 units which is option A.

What is circle?

Circle is a figure whcih is having an arc showing points which are at equidistant from the centre point. The distance of arc from the centre point is known as radius.

How to find length?

From the rule of tangents and point outside the circle we can say that,

RF×RS = PR×RQ

16×9 = PR × 8

144 = PR×8

PR = 144/8

PR = 18 units

Hence if the length of FR is 16 units then the length of PR is 10 units.

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Related Questions

need help
a rectangular garden is 50m long and 45 m broad A path 2m wide is. running inside the garden . Calculate the cost of gravelling the path at rs 40 per square meter.....​

Answers

A rectangle garden is 50m long and 45 m broad. A path 2m wide is. running inside the garden.Area of the rectangular garden = (50 × 45) square metres = 2250 square metres.Area of the rectangle which is left after the path is paved = [(50-2×2)×(45-2×2)] square metres = [(50-4) × (45-4)] square metres = (46 × 41) square metres = 1886 square metres.Therefore, the area of the path = (2250 - 1886) square metres = 364 square metres.Therefore, the cost of gravelling the path at Rs. 40 per square metre = Rs. (40 × 364) = Rs. 14560.

Answer:

Rs. 14560

Hope you could get an idea from here.

Doubt clarification - use comment section.

In rectangle ABCD

L=50mB=45m

[tex]\\ \sf{:}\longrightarrow Area=LB[/tex]

[tex]\\ \sf{:}\longrightarrow Area=50(45)[/tex]

[tex]\\ \sf{:}\longrightarrow Area=2250m^2[/tex]

In rectangle PQRS

L=50-2=48mB=45-2=43m

[tex]\\ \sf{:}\longrightarrow Area=LB[/tex]

[tex]\\ \sf{:}\longrightarrow Area=48(43)[/tex]

[tex]\\ \sf{:}\longrightarrow Area=2064m^2[/tex]

Now

[tex]\\ \sf{:}\longrightarrow Area_{(Path)}=Area_{(ABCD)}-Area_{(PQRS)}[/tex]

[tex]\\ \sf{:}\longrightarrow Area_{(Path)}=2250-2064=186m^2[/tex]

Cost:-

[tex]\\ \sf{:}\longrightarrow 186(40)[/tex]

[tex]\\ \sf{:}\longrightarrow Rs 7440[/tex]

Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 514 pounds of blueberries are divided equally among them?

Answers

Answer:

About 35 or 34.27 if you round to the tenths spot.

Step-by-step explanation:

514 divided by 15 is 34.27 once rounded.

f(x)=−2x^2+2x−20
Find f(−8)

Answers

Answer:  -164

Step-by-step explanation:

Answer:-164

Step-by-step explanation:

−2(−8)

2

+2(−8)−20

Plug into each x-value

2

(

64

)

+

2

(

8

)

20

−2(64)+2(−8)−20

Square first

128

16

20

−128−16−20

Multiply

f

(

8

)

=

164

f(−8)=−164

Choose the linear equations.

Answers

Answer:

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

y = 2x + 5

Step-by-step explanation:

In linear equations, both variables x and y must have the exponent of 1 (i.e. they cannot have a small number at the top-right). And they cannot be in the exponents (i.e. cannot be the small number at the top-right).

Can someone plz help me?

Answers

Answer:

A. 5(y+3) = 5(3+y)

Step-by-step explanation:

The total number of gallons of water in a tank, w, after t minutes is given in this table and the plot.



What is an equation showing the relationship between w and t?

Enter your answer by filling in the box to complete the equation.

w =

Answers

The equation showing the relationship between w and t is [tex]w = 4t[/tex]

From the table, we have the following points:

(0,0) and (1,4)

Start by calculating the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{4 -0}{1 -0}[/tex]

Simplify the numerator and the denominator

[tex]m = \frac{4}{1}[/tex]

Divide 4 by 1

[tex]m = 4[/tex]

The equation is then calculated as:

[tex]w = m(t - t_1) + w_1[/tex]

This gives

[tex]w = 4(t - 0) + 0[/tex]

Simplify

[tex]w = 4t[/tex]

Hence, the equation is [tex]w = 4t[/tex]

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My question is in the attachment.

Answers

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

Answer:

The son is 5 and the father is 25.

Step-by-step explanation:

We can do this using  Algebra.

Let the son be x years old.

Then the father's age is x + 20 years.

After 5 years the father's age is x + 25 and the son is x + 5 years.

So we can write the equation:

x + 25 = 3(x + 5)

x + 25 = 3x + 15

25 - 15 = 3x - x

10 = 2x

x = 5.

So the father's present age is 20 + 5 = 25 and the son is 5 years old.

what is 3x + 4y = 10

6x - 4y = 8

Answers

Answer:

x=2

y=1

Step-by-step explanation:

9x+0=18

so it's x=2

6=4y=10

so y=1

A construction team is going to Guatemala to help a missionary build a church building. The construction team will be there for 24 days, which is 50% more days than they need to complete construction. How many days will they need to complete the church building

Answers

Answer:

72

Step-by-step explanation:

50% means ½ of the usual days,

if 50% = 24 days

then the usual day is 48 days

so, 48+24= 72

The lines represented by the equations y=x+5 and 2y-2x=10 are

Answers

The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.

Recall:

Two lines that are parallel will have the same slope value.Two lines that are perpendicular to each other will have slopes that are negative reciprocal of each other.Equation representing a line in slope-intercept form is: y = mx + b, where m is the slope.

Given:

y = x + 5

2y - 2x = 10

The slope of y = x + 5 is 1.

Rewrite 2y - 2x = 10 in slope-intercept form to determine its slope.

2y - 2x = 10

2y = 2x + 10

Divide both sides by 2

y = x + 5

Thus, the slope of y = x + 5 (2y - 2x = 10) is also 1.

The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.

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Simplify.
(7⁴)²

(EXPONENT FORM ONLY)

Answers

The answer is 7^8.
To raise a power to another power, you multiply the exponents. 4x2=8. 7^8

Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 2. 7, negative 0. 9, 1. 1, 3. 2, 5. 4. The third column is labeled predicted with entries negative 2. 84, negative 0. 81, 1. 22, 3. 25, 5. 28. The fourth column is labeled residual value with all entries blank. Does the residual plot show that the line of best fit is appropriate for the data? No, the points are in a curved pattern. No, the points are evenly distributed about the x-axis. Yes, the points are in a linear pattern. Yes, the points have no pattern.

Answers

The residual of a regression is the difference between the actual value and the predicted value

The true statement about the residual plot is (c) Yes, the points are in a linear pattern

The entries are given as:

x  Given  Predicted    Residual

1    -2.7         -2.84              

2    -0.9         -0.81            

3     1.1            1.22              

4     3.2          3.25              

5     5.4          5.28

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

So, the residuals of the 5 entries are:

[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]

[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]

[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]

[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]

[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]

So, the entries become:

x  Given  Predicted    Residual

1    -2.7         -2.84             0.14

2    -0.9         -0.81            -0.09

3     1.1            1.22             -0.12

4     3.2          3.25           -0.05

5     5.4          5.28            0.12

See attachment for the residual plot.

From the plot, we can see that the points are in a linear pattern.

Hence, the true statement about the residual plot is (c)

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In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example. (PLS HELP ILL GIVE 100 points and brainlest also no links please, thanks)

Answers

Answer:

8

Step-by-step explanation:

You need to factorize each number in the set:

24 = 2*2*2*332 = 2*2*2*2*2

Common factors of both numbers are:

2*2*2 = 8

GCF(24, 32) = 8

The distance required for a car to stop is directly proportional to the
square of its velocity. If a car can stop in 112.5 meters at 15 kilometers
per hour, how many meters are needed to stop at 25 kilometers per hour?

Answers

Answer:

312.5 m

Step-by-step explanation:

let distance be d and velocity be v , then

d = kv² ← k is the constant of variation

To find k use the condition d = 112.5, v= 15

112.5 = k × 15² = 225k ( divide both sides by 225 )

0.5 = k

d = 0.5v² ← equation of variation

When v = 25 , then

d = 0.5 × 25² = 0.5 × 625 = 312.5 m

Ryan and Taylor are both saving money to buy new video game equipment. Ryan's savings plan can be modeled by the function s= 15m + 50 where m represents the number of months since Ryan started his plan, and s represents the amount of money saved in dollars. The table shown represents Taylor's savings plan.

Taylor's Savings Plan --- In the file (Picture).

a. Ryans rate of change is_________Taylor's rate of change.
b. Ryans starting balance is _________Taylor's starting balance.

Answers

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Recall:

A linear function is modelled by the equation, y = mx + b, where m is the rate of change and b is the initial value (starting value).Rate of change = change in y/change in x

Ryan's Savings Plan Function:

s = 15m + 50

Thus, the starting value (starting balance) modelled by this function is $50

The slope/rate of change is $15 per month

Taylor's Savings Plan:

Given the table, the starting value will be the amount saved (initial value) at 0 number of months.

Therefore, Taylor's starting balance is: $25

Using (0, 25) and (1, 45) find the rate of change:

Rate of change = (45 - 25)/(1-0) = 20/1 = $20

In summary:

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

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if 3/15 is equivalent to 45/n. find n

Answers

Answer:

n = 225

Step-by-step explanation:

Multiply 15 by 15

3/15=45/n
Cross multiply
3n=675
Divide both sides by 3
n=675/3
n=225

A motorcycle can travel 60 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 40 km? [1 mile = 1. 6 km] 0. 04 0. 08 0. 20 0. 42.

Answers

The motorcycle needs to travel 40 km, 0.42 gallons of fuel.

Given that,

A motorcycle can travel 60 miles per gallon.

We have to find,

How many gallons of fuel will the motorcycle need to travel 40 km?

According to the question,

The motorcycle travel 60 miles per gallon,

The motorcycle travels 40 km,

To convert it into kilometers 60 miles per gallon.

[tex]\rm 1 \ mile = 1.6\ k.m.\\\\60 \ miles \times 1.6 \ k.m. = 96 \ k.m.[/tex]

Therefore,

The gallons of fuel will the motorcycle need to travel 40 km is,

[tex]= \dfrac{96}{40}\\\\= 0.42[/tex]

Hence, The motorcycle needs to travel 40 km, 0.42 gallons of fuel.

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I need to know how to get the roots for example what is the root of 2 root 5

Answers

Answer:

Square roots are when you multiply the same number by itself like for example, the square root of 5 is 25, because 5*5=25

Step-by-step explanation:

The value of the root of 2√5 is approximately 2.116.

Here, we have,

To find the root of a number, you can use the concept of radicals.

The "root" refers to the inverse operation of raising a number to a power. For example, the square root (√) is the most common root, and it represents finding a number that, when squared, gives the original number.

To find the root of a number, such as the square root (√), you can use the following notation:

√(2 * √(5))

In this case, we have the square root of (2 times the square root of 5).

To simplify this expression further, we can break it down step by step:

Step 1: Simplify the square root of 5:

√(5) = 2.236 (approximately)

Step 2: Substitute the simplified value back into the original expression:

√(2 * 2.236)

Step 3: Simplify the expression:

√(4.472) = 2.116 (approximately)

Therefore, the root of 2√5 is approximately 2.116.

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help please???????????​

Answers

Answer:

The answer is C. (a + -a = 0 )

Step-by-step explanation:

"The additive inverse of a number a is the number that, when added to a, yields zero"

The equation of a line is y = 12x - 3. Write the equation of a line parallel to this line.

Answers

Answer:

y=12x+3

Step-by-step explanation:

when parallel the slopes need to be the same but the y-intercept has to change

Is 6 a factor of the number 56 yes or no?

Answers

Answer:

No it is not a factor of 56

Answer:

No

Step-by-step explanation:

6,12,18,24,30,36,42,48,54,60

If l || m, find the value of x

Answers

Answer: 9

Step-by-step explanation:

Answer:

9!

Step-by-step explanation:

RS is the perpendicular bisector of TU. Find x and y​

Answers

Answer:

x = 1

y = 30°

Step-by-step explanation:

is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':

20x-3 = 5x+12

15x = 15

x = 1

we also know that RS intersecting with TU creates a 90° angle

if 3y = 90 then y = 30

Please find the area...

Answers

( 356 x 280 ) - ( 103 x 60 )
99 680 - 6180 = 93500
answer = 93500

Lillian read 43 pages in 1 1/3​ hours. At what rate, in pages per hour, did she read?

Answers

Answer:

hi

Step-by-step explanation:

Answer:

She reads one page in 1.40

compare. 2 1/4 and 3 /14

Answers

Answer:

[tex]\frac{1}{4}[/tex] is larger than [tex]\frac{3}{14}[/tex]

[tex]\frac{1*14}{4*14}[/tex] = [tex]\frac{14}{56}[/tex]

[tex]\frac{3*4}{14*4}[/tex] = [tex]\frac{12}{56}[/tex]

i cant tell if it is [tex]\frac{1}{4}[/tex] or 2 [tex]\frac{1}{4}[/tex]

but if it is 2 [tex]\frac{1}{4}[/tex] that mean this is a mixed number

and [tex]\frac{3}{14}[/tex] is a proper fraction

Joseph removes 5/8 gallon of white paint from a can.
Then he adds 5/8 gallon of blue paint to the can.
Write and evaluate an addition expression to find
the overall increase or decrease in the amount of
paint in the can.

Answers

Create the expression from the data:

The gallon of paint begins as a whole: 8/8

Then he removes 5/8 gallons of paint from the can: - 5/8

Then he adds 5/8 of a different colored paint to the can: + 5/8

Now combine:

8 / 8 - 5 / 8 + 5 / 8 = 8/8

The paint can is full, then he removes an amount from the can. He then pours more paint into the can that is equal to the amount he originally removed. Therefore, the paint can remained full.

f(x) = -4(x+2) what is f(4)

Answers

Answer:

-24

Step-by-step explanation:

f(4)= -4(x+2)

f(4)= -4(6)

f(4)= -24

Answer:

F(x)=-4(x+2)

0=-4-8

4x=-8

X=-2

So,-2×2

-4

Step-by-step explanation:

Have a great day!

help me pls... ....

Answers

Step-by-step explanation:

A1

1 yard = 3 feet

1 foot = 12 inches

therefore,

100 yards = 100×3×12 inches = 3600 inches

A2

again, 1 yard = 3 feet

8 ft = 8/3 = 2.67 yards = 2 2/3 yards

A3

1 gallon = 8 pints

A4

1 liter = 1000 milliliters (remember, "mili" means 1/1000).

therefore,

2.2 liters = 2.2×1000 = 2200 milliliters

A5

again, 1 liter = 1000 milliliters

therefore

1 milliliter = 1/1000 liter

670 milliliters = 670 × 1/1000 liter = 670/1000 liter =

= 0.67 liter

B1

1 kg (kilogram) = 1000 grams ("kilo" means 1000).

we have 3 layers.

each layer weighs (cake plus icing)

1/2 kg + 100 g = 500 g + 100 g = 600 g

3 layers then weigh

3×600 g = 1800 g

the additional candle weighs 250 g.

so, the total is

1800 g + 250 g = 2050 g = 2.05 kg

B2

area is 110 m².

1 m = 100 cm ("centi" means 1/100).

and 1 m² is then 100×100 = 10000 cm².

so, the area in cm² is

110 × 10000 = 1,100,000 cm²

the top area of one brick = 10 × 20 = 200 cm²

so, we need

1,100,000 / 200 = 11,000 / 2 = 5500 bricks

Can i get some help :

Answers

Answer:

the second

Step-by-step explanation:

Answer:

0.9 + n = 5.2

Step-by-step explanation:

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