C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?

C Is The Circumcenter Of PQRPC=3x+7, RC=5x-15 And QC=51-x. What Does RC Equal?

Answers

Answer 1

Answer:

[tex] RC = 40 [/tex]

Step-by-step explanation:

Given:

PC = 3x + 7,

RC = 5x - 15,

QC = 51 - x.

Required:

measure of RC

SOLUTION:

Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.

So therefore,

[tex] PC = RC = QC [/tex]

Let's find the value of x using:

[tex] PC = RC [/tex]

[tex] 3x + 7 = 5x - 15 [/tex] (substitution)

Collect like terms

[tex] 3x - 5x = -7 - 15 [/tex]

[tex] -2x = -22 [/tex]

Divide both sides by -2

[tex] x = \frac{-22}{-2} [/tex]

[tex] x = 11 [/tex]

Find the measure of RC

[tex] RC = 5x - 15 [/tex]

substitute x = 11 into the equation

[tex] RC = 5(11) - 15 [/tex]

[tex] RC = 55 - 15 [/tex]

[tex] RC = 40 [/tex]

Answer 2

Answer:

40

Step-by-step explanation:


Related Questions

para calcular el tanto por ciento de una cantidad tengo que​

Answers

Answer:

Your answer is: Use the percentage formula: P% * X = Y  

Step-by-step explanation:

Hope this helped : )  

Su respuesta es: Utilice la fórmula de porcentaje: P% * X = Y

Espero que esto haya ayudado :)

1/2 mi = 880 yd
True
O False

Answers

Answer:

True.

Step-by-step explanation:

If you multiply the length value, you'd get 880 yd. Which basically answers it, the answer is true.

Answer:

True

Step-by-step explanation:

I did this before it kind of complicated but trust me  it true

I need help ASAP with this question

Answers

So the rate of change is the same as the gradient, or the slope.
To work out this you need to do the change in y/ the change in x.
So we take 2 points you are given in the table- e.g (1,5) and (2,1)
So the change in y is from 5 to 1 so it is -4 and the change in x is from 1 to 2 so is 1.

Then you have -4/1 which is just -4.

Let me know if you have any questions!

An easy way to determine the slope of a roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface. This will give you the slope of the roof.

The slope of the roof shown here is measured with a 12-inch level and a ruler.


What is the slope of the roof in this picture?

Answers

Answer:

7/12

Step-by-step explanation:

m=rise/run

The required slope of the roof is given as 7/12, as per the given conditions.

Given that,
A roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface.

What is the slope of the line?

The slope is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

here,
Vertical reading of rising measure by a 12-inch level = 7
horizontal reading(run measure) = 12

The slope of the roof is given as,
m = rise/ run
m = 7 / 12

Thus, the required slope of the roof is given as 7/12, as per the given conditions.

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a maple tree shades an area of 7 1/2 m square. in the scale drawing, the maple tree shades an area of 12 1/2 cm square. in the scale drawing how many square centimeters represents 1 m squared

Answers

The number of centimeter squares in the scale drawing for each 1 m squared is 1.67.

What is Scale factor?

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Given that,

The area shaded by a maple tree is 7(¹/₂) m².

And, the area shaded in scale drawing is 12(¹/₂) cm².

The required  number of square centimeters can be found by dividing the two areas as follows,

12(¹/₂) / 7(¹/₂)

= (25/2)/(15/2)

= 25 / 15

= 5 / 3

= 1.67

Hence, the number of centimeter squares in the scale area is 1.67.

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What is the scale factor to go from small triangle to the large triangle?

Answers

Divide both numbers in one of the ratios by their highest common factor. This will give you the scale factor of the bigger triangle to the smaller triangle.

Whats 9 plus 10 ...................................................................

Answers

Answer:

9 plus 10 is 19

Step-by-step explanation:

I wish you mean that.

Answer:

21 ;) lol

nah if you serious then 19.

A baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2.5 times its birth weight. How many pounds did the baby weigh at the end of 8 months?

Answers

Answer: 18.125 lbs

Explanation: The baby weighed 18.125 pounds at the end of eight months.

The baby weighed 7.25 lbs at birth. Eight months later, he weighed 2.5 or 2½ times its birth weight. Multiply 7.25 by 2.5  (which equals 18.125).

So now eight months later, he's 18.125 pounds.

7.25 x 2.5 = how much baby weighed= 18.125

se considera G centrul cercului greutate al triunghiului abc, a prim, b prim,c prim sunt mij lat bc,ac, ab. daca ga' = 5CM

Answers

Answer:

consider G the center of the circle weight of the triangle abc, a prim, b prim, c prim are medium lat bc, ac, ab. if ga '= 5CM

Step-by-step explanation:

A scale drawing of a rectangular room measures 3 1/2“ x 1 1/2“ the scale is 1/4 inch = 2 feet carpeting cost $10 per square foot how much will it cost to buy enough carpeting to cover the floor of this room

Answers

Answer:1120

Step-by-step explanation:

It's math

Answer: it’s 138

Step-by-step explanation:

If one inch represents 15 feet, what dimensions would you use to make a scale drawing of a building 550 feet by 600 feet?

Answers

9514 1404 393

Answer:

  36 2/3 inches by 40 inches

Step-by-step explanation:

To find the drawing dimension, multiply the actual dimension by the scale factor:

  (550 ft)×(1 in/(15 ft)) = (550/15) in = 36 2/3 in

  (600 ft)×(1 in/(15 ft)) = (600/15) in = 40 in

The dimensions on the drawing would be 36 2/3 inches by 40 inches.

4(x-1)=-8 how do i answer this

Answers

Answer: x= -1

Step-by-step explanation:

4(x-1)=-8

First distribute

4x-4=-8

Now add 4 to -8

4x=-4

Now divide by 4

X=-1

The answer is x = -1

Step-by-step explanation: When it comes to solving for a variable (x) you have to distribute if there is parenthesis and then use inverse operations to get the answer.

4(x-1)=-8 Distribute

4x - 4 = -8 Subtract 4 from both sides

4x = -4 Divide 4 on both sides

x = - 1 and that is your answer

To find the solution to the equation using factoring, we need to first write it in standard form.
Which of the following choices is equivalent to the equation:
(x - 3)(x + 5) = 10

x^2 + 2x - 5=0
x^2 + 8.2 – 25 = 0
x^2 + 2x – 25 = 0
x^2 + 2x + 5 = 0

Answers

Answer: the answer is x^2+2x-25

Step-by-step explanation:

Use distributive property

Multiply the two x’s by each other

Multiply the first x by +5

Multiply the -3 by x

Multiply the -3 by +5

You have x^2+5x-3x-15=10

Move the 10 to the left side and simplify

x^2+2x-25

Why can you use fraction multiplication to check the
answer to a fraction division problem? How do you use
multiplication to check a division problem?

Answers

Answer:

Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.

have a great day :)

Because multiplication is the converse of division,

If x/y=z then x=?

x/y=z

x=yz

Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.

Just like addition is the converse of subtraction.

If x/y=z,

then x=yz.

If x divided by y is equal to z, then x equals y times z. These are the rules of arithmetic. If they weren't true the universe would fall apart! The rule can be used as a check that you have the right answer.

Therefore converse of division is the answer.

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The ratio of students that wear glasses to students that do not wear glasses is 1:4. If there were a total of 30 students. How many students wear glasses?

Answers

Answer:

34

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

For every 5 students, 1 wears glasses and 4 don't.  If you take the total number of students, 30, and divide it by 5, you have 6 groups of 5 students.  There will be 1 student for each of those groups wearing glasses, or 6 students.

Antonio just signed up for new phone plan and is comparing his fees to that of his friend
Marcus. They both create equations so that they could compare their fees with each other.
Antonio's plan: Monthly cost 3 (.75m + 10) + 2.50m – 15 where m is the
number of minutes used
Marcus's Plan: Monthly cost 2 (1.75m + 12.50) – .75m + 4 where m is the
number of minutes used by setting their monthly cost equal, decide after how many minutes the two plans will cost the same

Answers

Answer:

7 minutes

Step-by-step explanation:

Antonio's plan: Monthly cost

3 (.75m + 10) + 2.50m – 15

Marcus's Plan: Monthly cost

2 (1.75m + 12.50) – .75m + 4

where, m = number of minutes used by setting their monthly cost equal

3 (.75m + 10) + 2.50m – 15 = 2 (1.75m + 12.50) – .75m + 4

2.25m + 30 + 2.50m - 15 = 3.5m + 25 - .75m + 4

4.75m + 15 = 2.75m + 29

4.75m - 2.75m = 29 - 15

2m = 14

Divide both sides by 2

m = 14 / 2

= 7

m = 7 minutes

what is the answer to 2x+2x-9=19

Answers

Answer:

x = 7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

We have to solve for [tex]x[/tex] so we isolate the value of x in the expression.

[tex]2x + 2x - 9 = 19[/tex]

[tex]2x + 2x - 9 + 9 = 19 + 9[/tex]

[tex]2x + 2x = 28[/tex]

[tex]4x = 28[/tex]

[tex]\frac{4x}{4} = \frac{28}{4}\\[/tex]

[tex]x = 7[/tex]

Here is a figure that looks like the letter A, along
with several other figures. Which figures are scaled
copies of the original A?

Answers

Figure 2 as it is the same as original but bigger

If it took 2 hours to clean 5 houses, how many houses could be cleaned in 6 hours?

Answers

Answer:

  15 houses

Step-by-step explanation:

[tex]\frac{2}{5} = \frac{6}{y} \\[/tex]

2y = 30

y = 15 houses

baby weighs 4kg when born. at 6 months it weighs m kg. write expression for the weight gain of baby over 6 months​

Answers

Answer:

gsgdysbdhydsh jz jsjsjeueheyshsusjdhhdjdhdud7

Step-by-step explanation:

hsgshshhshjsjshsjsnseusjsuusjdhddhdydhdhshhsus hjdshsdjdjusisisos kejhfkzbudhuedje3hxue26r2ztedstzvy

Answer:

Wiki Biki Kiki mc mf you

The male African elephant at the city zoo has a mass of 5450 kg. What is its mass in scientific notation?

Answers

Answer:

The mass in scientific notation is: [tex]5.45 * 10^{3}[/tex] .

(* means 'multiply')

Step-by-step explanation:

5450 kg in scientific notation is 5.45 times 10 to the 3rd power. If you multiply 10 to the 3rd power (1000) by 5.45, you get 5450 kg, which is the number we started out with.

Hope this helps! Feel free to give me Brainliest if you feel this helped! :)

Answer:

it's 5.45 x 10^3.

that's in scientific notation.

Write an equation for a line perpendicular to y= -4x - 3 and passing through the point (-4,2)

Answers

Answer:

y = (x/4) + 3

FIND THE UNIT OF X 5X+17=7 WHEN YOU FIND IT SIOLVE THE EQUATION WITH THE NEW NUMBER OF X

Answers

Answer:

x = -2

Step-by-step explanation:

5x + 17 = 7

5x = -10

5x/5 = -10/5

x = -2

i could be wrong but i hope i helped

Answer:

x = -2

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

simplify

5x/5 = -10/5

x = -2

12÷ 1/5 how to solve this problem​

Answers

Answer: 60

Step-by-step explanation:

5 + k – 5k = -4k + 6 0

Answers

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5+k−5k=−4k+60

5+k+−5k=−4k+60

(k+−5k)+(5)=−4k+60(Combine Like Terms)

−4k+5=−4k+60

−4k+5=−4k+60

Step 2: Add 4k to both sides.

−4k+5+4k=−4k+60+4k

Round the numbers to the nearest thousands.

4 252-
8 683-
50 000-
59 490-
96 156-​

Answers

Answer:

1. 4,000

2. 9,000

3. 50,000

4. 59,000

5. 100,000

Write a unit rate for the situations.

30 milliliters every 4 hours

milliliters per hour

Answers

Answer:

[tex]{7.5 \: mm(h)}^{ - 1}[/tex]

Step-by-step explanation:

[tex] a \: unit \: rate \: for \: the \: situations \: is \: given \: by :

\\ rate = \frac{30 milliliters }{ 4 hours} = 7.5\frac{mm}{h} = {7.5 \: mm(h)}^{ - 1} [/tex]

The unit rate for the situation is mL per hour

How do you write a unit rate?An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate. Examples of popular unit rates are the speed in miles per hour, the amount of energy used in miles per gallon, and the speed of the internet in megabits per second. Miles per hour, blinks per second, calories per serving, steps per day, and heartbeats per minute are a few instances of unit rates.

7.5 mL/ hr

The unit rate for the situation is mL per hour

Rate= 30mL/ 4Hrs

Rate= 7.5mL/ hr

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Suppose 1 in 10 people on campus have blonde hair. In 20 random encounters, what is the probability of meeting at least one person with blonde hair?

Answers

Answer:

2/20 people

Step-by-step explanation:

that should be right

Guided practice (page 3)
A photo studio charges a $50 sitting fee and $25 per photo sheet purchased. The number of photo sheets purchased equals
spent plus
times the number of dollars
Hint
Submit Answer

Answers

Answer:0

Step-by-step explanation:0=0 he has no money

The equation that represents the total amount will be y = 25x + 50.

What is a linear equation?

A connection between two or more factors results in a linear model when displayed on a graph. The parameter will have a degree of one.

The linear equation is given as,

y = mx + c

Where c is the line's y-intercept and m is the line's y-slope.

A photo studio charges a $50 sitting fee and $25 per photo sheet purchased.

Let x be the number of photo sheets purchased and y be the total amount.

The slope of the equation is 25 and the y-intercept will be 50.

y = 25x + 50

The equation that represents the total amount will be y = 25x + 50.

More about the linear equation link is given below.

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John rode his new bicycle at 9 miles per hour. How many feet per hour is this?
(Hint: Since 1 mile = 5,280 feet, multiply by 5,280 feet/1 mile.)
Oa. 47,520 feet per hour
Oc. 5,280 feet per hour
Ob. 45,720 feet per hour
O d. 52,380 feet per hour

Answers

Answer:

A

Step-by-step explanation:

5,280*9

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