Answers
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:
40
Step-by-step explanation:
Related Questions
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:
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
To know more about unit rate, refer:
brainly.com/question/4895463
#SPJ2
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]
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 kejhfkzbudhuedje3hxue26r2ztedstzvyAnswer:
Wiki Biki Kiki mc mf you
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
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
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
Write an equation for a line perpendicular to y= -4x - 3 and passing through the point (-4,2)
Answers
Answer:
y = (x/4) + 3
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.
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.
To learn more on division of fractions click here: https://brainly.com/question/7722793
#SPJ6
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.
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
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.
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.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ3
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
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
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.
I need help ASAP with this question
Answers
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!
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 :)
12÷ 1/5 how to solve this problem
Answers
Answer: 60
Step-by-step explanation:
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
What is the scale factor to go from small triangle to the large triangle?
Answers
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 = -2Step-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
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:
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
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.
To know more about scale factor click on,
https://brainly.com/question/29464385
#SPJ1
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.
https://brainly.com/question/11897796
#SPJ2
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.
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.
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
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