Answers
Answer:
The measure of the arc RQ is 160°
Step-by-step explanation:
In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angleThe measure of any circle is 360°Let us use these rules to solve the question
In the given figure
∵ ∠RPQ is an inscribed angle subtended by arc RQ
∴ m of arc RQ = 2 × m∠RPQ
∴ m∠RPQ = 5x + 15
∴ m of arc RQ = 2 × (5x + 15)
→ Multiply the bracket by 2
∴ m of arc RQ = 2(5x) + 2(15)
∴ m of arc RQ = 10x + 30
∵ The measure of the circle = 360°
∵ The sum of the measures of arcs RQ, QP, and PR equals the measure
of the circle
∵ m of arc QP = 6x - 12
∵ m of arc PR = 9x + 17
→ Add them and equate the sum by 360°
∴ 10x + 30 + 6x - 12 + 9x + 17 = 360
→ Add the like terms in the left side
∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360
∴ 25x + 35 = 360
→ Subtract 35 from both sides
∴ 25x = 325
→ Divide both sides by 25 to find x
∴ x = 13
→ To find the measure of arc RQ substitute x by 13 in its measure
∵ m of arc RQ = 10(13) + 30 = 130 + 30
∴ m of arc RQ = 160°
∴ The measure of the arc RQ is 160°
Related Questions
What is 6^4 x 6 1/4????
Answers
Answer:
8100
Step-by-step explanation:
Which of the sets of ordered pairs represents a function?
P = {(3, 5), (−1, 5), (4, −6), (2, 9)}
Q = {(7, −2), (5, 9), (−1, 8), (5, −3)}
Answers
Answer:
P
Step-by-step explanation:
P tells us that the Domain: 3,-1,4,2 doesn't repeat
Q does repeat its Domain: 7,5,-1,5
Reminder that in order for a line of ordered pairs to be a function the domain number Shouldn't repeat, That doesn't mean that the range cant repeat.
Example: (5,-3), (5,9) Not a function
(-1,-6), (7,-6) Function
Out of the two set given, the set of ordered pairs that represents a function is: P = {(3, 5), (−1, 5), (4, −6), (2, 9)}.
What is a Function?A set of ordered pairs that has one exact y-value assigned to each x-value is considered a function.
In set P, all x-values has exactly one y-value, while in set P, the x-value, 5, has two different y-values, 9 and -3.
Therefore, the set of ordered pairs that represents a function is: set P.
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My book is 79 pages. I have been reading 10 pages each day. There are 9 pages left to read. How many days have I been reading the book? Draw a model to show your thinking. Justify your answer.
Answers
Answer:
7 days
Step-by-step explanation:
If there are 9 pages left, that means you have already read 70 pages.
Since you read 10 pages a day, we can find how many days you have been reading the book by dividing 70 by 10:
70/10
= 7
This means you have been reading the book for 7 days
Answer:
7 days
Step-by-step explanation:
With 9 pages left take 79-9 to get 70 pages.
70 pages at 10 pages a day is 70/10 and you get 7 or 7 days.
Write the equation in slope-intercept form y−6=−2/5(x−10)
Answers
Answer: y = -2/5x + 10
Step-by-step explanation:
y − 6 = − 2/5 (x − 10)
do distributive property
y - 6 = -2/5x + 4
add six to both sides
y = -2/5x + 10
boom the answer :v
please someone help asap i will give brainliest
Answers
Answer:
Step-by-step explanation:
c≥ -1.95
[-1.95,∞)
solid circle on -1.95 and go right
i will give brainliest if correct answer
Answers
4w-24≤-12
4w≤12
w≤3
the answer i got is fifth first
Can someone please help me with this problem? I don’t understand how to do it..
Answers
Answer:
y=x+2
Step-by-step explanation:
y=mx+b
m is slope
b is y intercept
it crosses the y intercept at (0,2) therefore b is 2
rise over run is 1 so slope is 1
fill in
y=1x+2
or y=x+2
you can fill in any (x,y) point into this
Match each expression to correct number line model.
I NEED THIS RIGHT AWAY!
(no one answered my last one so i hope this gets answered quick.)
Answers
2. 1.5+-2.5
3. -1.5+-2.5
4. 1.5+-2.5
The measures of the angles of a triangle are shown in the figure below
Answers
Answer:
they very much are there
Step-by-step explanation:
Answer:
37.5 degrees
Step-by-step explanation:
All triangle angles must sum up to 180 degrees
63 + 90 = 153
153 = 4x + 3
150 = 4x
37.5 = x
what are the lengths of the sides of a square which has an area of 81 cm
Answers
Answer:
9 cm
Step-by-step explanation:
If the area is 81 cm², this means that the length is 9 cm as length² of a square equals its area.
A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. What is the solution to the system of equations?
Answers
Answer:
The solution to the system of equations is x = 4 and y = 2.
Step-by-step explanation:
From statement we know that the first line is [tex]y = 0.5\cdot x[/tex]. The second line is determined by knowing two distinct points and solving the resulting system of equations by definition of the equation of the line:
[tex](x_{1},y_{1}) = (3,1)[/tex] and [tex](x_{2}, y_{2}) =(-5,-7)[/tex]
[tex]3\cdot m + b = 1[/tex] (1)
[tex]-5\cdot m + b = -7[/tex] (2)
The solution of the system of equations is:
[tex]m = 1[/tex], [tex]b = -2[/tex]
The second line is represented by [tex]y = x-2[/tex]. And the resulting system of equations is:
[tex]0.5\cdot x -y = 0[/tex] (3)
[tex]x-y = 2[/tex] (4)
The soltuion to the system of equations is:
[tex]x = 4[/tex], [tex]y = 2[/tex]
The solution to the system of equations is x = 4 and y = 2.
At Gary's car wash 49 cars can be washed in 4 hours. At this rate, how many cars can be washed in 8 hours?
Answers
Answer:
98
Step-by-step explanation:
49 + 49 = 98
Identify the independent and dependent variable for the given situation. D = 5t
Answers
Answer:
d = dependant; t = independant
Step-by-step explanation:
The d value is dependant on the t value, therefore it is the dependant. The t is the only valuable that can be changed in the equation, therefore being the independant.
Answer:
[tex]D[/tex] = dependent; [tex]t[/tex] = independent
Step-by-step explanation:
[tex]D[/tex] is the independent variable since its value relies/depends on the value of [tex]t[/tex].
[tex]t[/tex] is the independent variable since it is the input variable which can be changed.
Hope this helps :)
help im being timed what is the area of the rectangle?!
Answers
Answer:
30
Step-by-step explanation:
Hope this helps.
what is the shortest possible distance between the houses
Answers
Answer:
A.) 8.5 miles
Step-by-step explanation:
I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.
Hope this helped.
The shortest distance between the two houses is 13 miles.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.
Given, The base is 12 miles and the height is 5 miles.
Therefore by Pythagoras' theorem,
Hypotenuse = √(5² + 12²).
Hypotenuse = √(25 + 144).
Hypotenuse = √(169).
Hypotenuse = 13 miles.
So, The shortest distance between the houses is 13 miles.
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pls help me its also easy
Answers
Answer:
C
Step-by-step explanation:
Ferdinand's equipment is higher than Rachel's equipment.
hi, can someone help me on a p e x? learning
Answers
Sure whats the problem?
The value of the expression 5³ is 125.
We have,
The concept used in calculating the value of 5 raised to the power of 3 is exponentiation.
In mathematics, exponentiation is an operation that involves raising a base number to a certain power.
The base number (in this case, 5) is multiplied by itself repeatedly, where the number of times it is multiplied is determined by the exponent (in this case, 3).
When we raise 5 to the power of 3, we can interpret it as multiplying 5 by itself three times:
5³ = 5 x 5 x 5 = 125
So, the concept of exponentiation allows us to quickly calculate the result of multiplying a number by itself multiple times, where the exponent indicates the number of repetitions.
Thus,
The value of the expression 5³ is 125.
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The complete question:
What is the value of 5 raised to the power of 3?
One number is five more than another. If their sum is increased by nine, the result is 60. Find the numbers.
Answers
Answer:
The two numbers are 23 and 28
Step-by-step explanation:
We are given that
[tex]X = Y + 5\\and\\(X+Y) + 9 = 60\\X+Y = 51\\(Y+5) + Y = 51\\2Y + 5 = 51\\2Y = 46\\Y = 23\\\\X = Y + 5\\X = 23 + 5\\X = 28[/tex]
what is the measure of <x
Answers
Answer:
x = 104°
Step-by-step explanation:
180-76=104
z = 104°
z and x are vertical from each other, therefore, z = x
What are the greatest common factor of 9a^b and 30ab^3?
Answers
Answer: 3ab IF a^b does NOT mean a to the power of b!
I believe you mean 9a²b and 30ab³
If you really mean 9aᵇ and 30ab³, then the GCF is 3a.
Step-by-step explanation:
the factors of 9 are 3*3 The factors of 30 are 2*3*5.
The only common factor of 9 and 30 is 3
a is a common factor of a and a²
b is a common factor of b and b³
Quadratic functions 2. Did I do it right
Answers
PLS HELP!!!
PLS FIND 13 and 15!!
Answers
Answer:
hi how are you doing
Step-by-step explanation:
The distance on a map between lake view and bay cove is 4.5 inches. The map key says 0.5 inches on the map is equivalent to 1 mile. what is the actual distance between Lake view an bay cove?
Answers
Answer:
9 miles
Step-by-step explanation:
yes i used a calculator
Answer:
9 miles.
Step-by-step explanation:
What I did was 4.5/.5
The I got 9. Then I checked it on a calculator and got 9 again.
So.. your answer is 9 miles.
Hope this helped ya!
Which chemical equation is balanced?
Question 2 options:
CH4 + O2 → H2O + CO2
CH4 + O2 → 2H2O + CO2
6CH4 + O2 → 2H2O + 2CO2
CH4 + 2O2 →2H2O + CO2
help
Answers
Step-by-step explanation:
CH4 + 2O2 →2H2O + CO2
the answer
Answer:
The balanced chemical equation of the given reaction are;
b.CH4 + 202-> 2H20 + CO2
Step-by-step explanation:
C=C
H4=2H2
2O2=O2+2O(2O2)
I Think it helps you.
Solve for n
8-n-4
PLZ help
Answers
Please Help Quick ASAP Hurry This is Pre-Algebra 1 i need the answer now please ASAP
Which Word Best describes the numbers 10 and -10?
A.Opposites
B.Coordinate
C.Absolute Value
D.Expression
Answers
Answer:
Part A
Step-by-step explanation:
Question is in image
Answers
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[tex]y = - \frac{1}{4} x + 4 \\ [/tex]
Multiply sides by 4
[tex]4 \times y = 4 \times ( - \frac{1}{4} x + 4) \\ [/tex]
[tex]4y = 4 \times ( - \frac{1}{4} x) + 4 \times 4 \\ [/tex]
[tex]4y = - x + 16[/tex]
Add sides x
[tex] + x + 4y = + x - x + 16[/tex]
[tex]x + 4y = 16[/tex]
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The correct answer is (( C )) .
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Determine if the following graph is a function. Find the
domain and range of the following graph. Write your
answer in inequality form.
Answers
Answer:
Yes, it is a function.
The domain is (∞,∞) and the range is (∞,5].
Step-by-step explanation:
A function needs to pass the vertical line test: It can only have one x value and one y value at a time. You simply hold a ruler to your screen and drag it from left to right (or vice versa) and see if the function touches the ruler once. If it touches once at any given point, it's a function!
The domain is (∞,∞) because there is a line on both ends- meaning it stretches infinitely. The range is (∞,5] since it goes down infinitely and stops at y = 5.
What will be the coordinates of point M of the image after the rotation?
0 (-4, 1)
0 (-1,4)
O (1-4)
O (4,1)
Answers
explain- i’m smart jk
Is the following relation a function, yes or no?
{(-3,4),(3,1),(5,7), (8,9), (10, 12)}
yes
no
Answers
The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.
✯the following is a function, so yes.
Answer:
yes
Step-by-step explanation: