The figure of Circle A shown below has diameter PR which intersects QS at point B and the measurements shown. Calculate the following measures:
m
Complete all calculations and work on a separate piece of paper, including any figures that you use. Once you have found all of the measures, upload the solution and your work here.
Please answer ASAP!!! 35 POINTS!!!
Answers
The figure is an illustration of the relationship between the angles in a circle and arc
The measure of angle PSQFrom the figure, the arc PQ is subtended by the angle PAQ.
This means that:
PQ = ∠PAQ
Given that ∠PAQ = 130, it means that:
Arc PQ = 130
The measure of PSQ is then calculated using:
∠PSQ = 0.5 * Arc PQ ----- inscribed angle is half a subtended angle.
This gives
∠PSQ = 0.5 * 130
∠PSQ = 65
Hence, the measure of ∠PSQ is 65 degrees
The measure of arc QRA semicircle measures 180 degrees.
This means that:
QR + PQ = 180
So, we have:
QR = 180 - PQ
Substitute 130 for PQ
QR = 180 - 130
QR = 50
Hence, the measure of QR is 50 degrees
The measure of arc RSThe measure of arc RS is then calculated using:
∠RPS = 0.5 * Arc RS ----- inscribed angle is half a subtended angle.
Where ∠RPS = 35
So, we have:
35 = 0.5 * Arc RS
Multiply both sides by 2
Arc RS = 70
Hence, the measure of RS is 70 degrees
The measure of angle AQSIn (a), we have:
∠PSQ = 65
This means that:
∠PSQ = ∠PSB = 65
So, we have:
∠PSB = 65
Next, calculate SBP using:
∠SBP + ∠BPS + ∠PSB = 180 ---- sum of angles in a triangle.
So, we have:
∠SBP + 35 + 65 = 180
∠SBP + 100 = 180
This gives
∠SBP = 80
The measure of AQS is then calculated using:
AQS = AQB = 180 - (180 - SBP) - (180 - PAQ)
This gives
AQS = 180 - (180 - 80) - (180 - 130)
Evaluate
AQS = 30
Hence, the measure of AQS is 30 degrees
The measure of arc PSA semicircle measures 180 degrees.
This means that:
PS + RS = 180
This gives
PS = 180 - RS
Where RS = 70
So, we have:
PS = 180 - 70
Evaluate
PS = 110
Hence, the measure of arc PS is 110 degrees
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Related Questions
What are your guys favorite marsupials?
Answers
Answer:
koalas
Step - by - step explanation:
because they're so cute and cuddly
If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz + 5x – 2xy, then the answer is:
[tex]\sf A) \; 5xy+9yz+3zx+5x–4y[/tex]
[tex]\sf B)\; 5xy+10yz+3zx+15x-4y[/tex]
[tex]\sf C) \; 5xy-9yz+3zx-5x-4y[/tex]
[tex]\sf D)\; 5xy+10yz+3zx+5x-6y[/tex]
Answers
Answer:
a) 5xy + 9yz + 3zx + 5x - 4y
Step-by-step explanation:
→ (7xy + 5yz - 3zx) + (4yz + 9zx - 4y) + (-3xz + 5x - 2xy)
→ (7xy - 2xy) + (5yz + 4yz) + (-3zx + 9zx - 3xz) + (5x) + (-4y)
→ 5xy + 9yz + 3zx + 5x - 4y
Hence, option (a) is the correct answer.
Answer:
[tex]\textsf{A)}\quad \sf 5xy+9yz+3zx+5x-4y[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf (7xy+5yz-3zx)+(4yz+9zx-4y)+(-3xz+5x-2xy)[/tex]
Remove the parentheses:
[tex]\implies \sf 7xy+5yz-3zx+4yz+9zx-4y-3xz+5x-2xy[/tex]
Collect like terms:
[tex]\implies \sf 7xy-2xy+5yz+4yz+9zx-3zx-3xz+5x-4y[/tex]
Combine like terms:
[tex]\implies \sf (7-2)xy+(5+4)yz+(9-3-3)zx+5x-4y[/tex]
[tex]\implies \sf 5xy+9yz+3zx+5x-4y[/tex]
What is the area of the shaded region?
Answers
Answer:
461.81
Step-by-step explanation:
your welcome
A hotel builds an isosceles trapezoidal pool for children. it orders a tarp to cover the pool when not in use. what is the area of the tarp?
to find the height. first find that d is 60,45,or 120. this means the height of the trapezoid is approximately 2.5,4.3,or 3.5 feet. so the area of the tarp is approximately 47.3,30.0 or 38.5 square feet.
Answers
The area of the trapezoidal tarp in the hotel is 47.3 square inches
How to determine the area of the tarp?The area of a trapezoid is calculated using:
Area = 0.5 * (Sum of parallel sides) * Height
From the complete question, the parallel sides are:
10 ft and 12 ft
So, we have:
Area = 0.5 * (10 + 12) * h
Evaluate
Area = 11 * h
The height (h) is calculated using the following cosine function
cos(120 - 90) = h/5
This gives
cos(30) = h/5
Make h the subject
h = 5cos(30)
Evaluate
h = 4.3
So, we have:
Area = 11 * 4.3
Evaluate
Area = 47.3
Hence, the area of the trapezoid is 47.3 square inches
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Answer: To find the height, first find that <D is 120.
This means the height of the trapezoid is approximately 4.3 feet.
So, the area of the tarp is approximately 47.3 square feet.
Step-by-step explanation: correct on edmentum/plato
in the circle, an arc length 8pi cm is intercepted by acentral angle of 2pi/3 radians. what is the radius of the circle
Answers
Answer:
radius = 12 cm
Step-by-step explanation:
al - Arc Length
[tex] \alpha \: - Central \: Angle ( in \: \: radians)[/tex]
r - Radius
[tex]al \: = 8\pi \: cm[/tex]
[tex] \alpha \: = \frac{2\pi}{3} [/tex]
[tex]al \: = \alpha \times r[/tex]
[tex]r \: = \frac{al}{ \alpha } [/tex]
[tex]r = \frac{8\pi}{( \frac{2\pi}{3} )} [/tex]
[tex]r = 12 \: cm[/tex]
Lin solved a quadratic equation by factoring and found one solution to be x = 3/4. Which of the following expressions could have been one of her factors?
Answers
Answer: 4x-3
Step-by-step explanation: When subsituted, the equation should equal 0
Which sum or difference is modeled by the algebra tiles?
Answers
Answer: I believe the answer is D.
Step-by-step explanation:
An equation of a circle is x^2 - 8x + 16 +y^2 + 10y + 25 = 81
What is the radius of the circle?
What is the center of the circle?
Answers
Answer:
the radius: r = 9the center: (4, -5)Step-by-step explanation:
The equation of a circle:
(x - a)² + (y - b)² = r²(a, b) - the center of a circle
r - the radius of a circle
x² - 8x + 16 + y² + 10y + 25 = 81
(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81
use: (a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²
(x - 4)² + (y + 5)² = 9²
Therefore
the radius: r = 9
the center: (4, -5)
The radius is 9 and the center of the circle (4, -5)
What is the center of a circle?A circle's center is a point throughout the circle that is equally spaced from every other point on the circumference. The line of refraction symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry surrounding the centre.
The equation of a circle:
(x - a)² + (y - b)² = r²
The center of a circle will be (a, b)
The radius of a circle will be r
x² - 8x + 16 + y² + 10y + 25 = 81
Solving the above equation on the basis of the Equation of a circle.
(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81
Using the identity in the above-given equation.
(a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²
(x - 4)² + (y + 5)² = 9²
The center of the circle will be at coordinates 4 and 5. And the radius of the circle derived is 9.
Learn more about the center of a circle, here
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please help me find the area of compound shapes?!?!
Answers
Answer:
Your answer will be 38cm...
Find the minimum distance between the point (-5,1) and the line x = -2
Answers
Answer:
3
Step-by-step explanation:
The minimum distance would be when there would be a horizontal line connecting the point (-5,1) with the line x=-2. So there would be a line from (-5,1) to (-2,1) which would be a straight line of 3 since -2 +5 = 3.
SOLVE ALL THESE EQUATION BY USING THE METHOD SUBSTITUTION ALGEBRAICALLY HERE'S ARE ALL THE EQUATION:
1. -7x - y = - 1/ y = 8x= 16
2. 3x +4y =0/ y=-3x -18
3. y = 3x/ -5x -2y = - 11
4. -8x -7y =0/ y = 6x
8. 2x- 6y = -14/ y=-5x -19
Answers
Answer:
See below ~
Step-by-step explanation:
Question 1
-7x - y = -1y = 8x + 16⇒ -7x - (8x + 16) = -1
⇒ -7x - 8x - 16 = -1
⇒ -15x = 15
⇒ x = -1
⇒ y = 8(-1) + 16 = 8
⇒ Solution = (-1, 8)
Question 2
3x + 4y = 0y = -3x - 18⇒ 3x + 4(-3x - 18) = 0
⇒ 3x - 12x - 72 = 0
⇒ -9x = 72
⇒ x = -8
⇒ y = -3(-8) - 18 = 6
⇒ Solution = (-8, 6)
Question 3 (not clear)
Question 4
-8x - 7y = 0y = 6x⇒ -8x - 7(6x) = 0
⇒ -8x - 42x = 0
⇒ -50x = 0
⇒ x = 0
⇒ y = 6(0) = 0
⇒ Solution = (0, 0)
Question 8
2x - 6y = -14y = -5x - 19⇒ 2x - 6(-5x - 19) = -14
⇒ 2x + 30x + 114 = -14
⇒ 32x = -128
⇒ x = -4
⇒ y = -5(-4) - 19 = 1
⇒ Solution = (-4, 1)
A washer and a dryer cost $819 combined. The washer costs $69 more than the dryer. What is the cost of the dryer?
a
si
х
?
Answers
Answer:
the dryer costs $450
step-by-step explanation:
w + d = 831
w = d-69 (they told us we will have to take $69 from the cost of the dryer to determine the cost of the washer)
(d-69) + d = 831
Let's combine like terms
2d - 69 = 831
add 69 to both sides to solve for d
2d = 900
divide both sides by 2 to solve for d
d = 450; the dryer costs $450
how do you say 4 twenty dollar bill
Answers
Answer:
4 twenty dollar bills = 20 x 4
= 120
Thus, the answer is 120 dollars.
Step-by-step explanation:
There are 10 players on the swim team. How many ways can the coach select 3 people to swim in the relay?
A. 1,080
B. 960
C. 720
D. 120
Answers
Answer:
C. 720
Step-by-step explanation:
10 - 3 is 8 so you multiply all the numbers from 10 through 8
10 * 9 * 8 = 720
That is the answer. Hope it helped!
Answer:
C: 720
Step-by-step explanation:
i got 100% on the quiz
Is 4 and 1/8 greater or less than 4 and 1/4?
Answers
Answer:
Less than
Step-by-step explanation:
4 and 1/4 is basically equal to 4 and 2/8
Answer: less becuase 4 1/4 x 4=17 and 4 1/8 x 4=16.5
Step-by-step explanation:
A squared garden has area 1764 m². Find its length and perimeter.
Answers
Answer:
We know that,
★ Area of Square = ( Side )² ★
Given:
Area of Squared garden is 1764 m².
To Find:
It's Length & Perimeter➛ Side = √1764
➛ Side = 42
Thus, Side of Squared garden is 42cm.We know,
★ Perimeter of Square = 4 × Side ★
Given:
Side is 42 cm.➛ Perimeter = 4 × 42
➛ Perimeter = 168
Thus, Perimeter of Squared garden is 168cm.The exterior angle of a certain regular polygon is 60°. How many sides does the polygon have?.
Answers
Work Shown:
E = exterior angle = 60 degrees
n = number of sides of the regular polygon
n = 360/E
n = 360/60
n = 6
The regular polygon has 6 sides.
help asap check picture
Answers
Jackson cut a pentagon out of poster board to make sign for his door. The perimeter of the sign is 30 inches and each side of the sign has the same length. What is the length of each side of the sign?
Answers
Answer:
6 inches
Step-by-step explanation:
If the perimeter of the whole pentagonal sign is 30 inches, each side must be 6 inches. Why? A pentagon has 5 sides, and each side is equivalent. 30/5=6.
Would appreciate if you marked my answer as brainliest, have a good day :)
Round 69581.491337 to the nearest thousand
Answers
Answer:
hope this helps:)
Step-by-step explanation:
the thousands place is right before the first comma therefore it is in bold here:
69581.491337
since 5 is [tex]\geq[/tex] 5 you round 9 up to a 10
once you round, the numbers below it all turn into zeros.
giving the number to be 70,000
hope this helps:)
Answer: Heyaa!~
Your Answer Is... 70,000
Step-by-step explanation:
Hopefully this helps you!~
when you round the numbers below it all turn into zeros.Cuánto es 5 entre 639 ayudaa
Answers
Math question please help
Answers
Answer:
Step-by-step explanation:
Remark
There are 6 faces on a cube.
Each face has an area of s^2
s = 5
One face is s^2
One face is 5^2 = 25 cm^2
6 faces are 6*25 cm^2
6 faces are 150 cm^2
Answer
150 cm^2
please help me out with the graph. 1e
Answers
I suppose it's going to look like this, you just need to continue the graph for other figure numbers and numbers of circles
A bag contains 6 white marbles and 4 black
marbles. A marble is drawn from the bag
and then a second marble is drawn without
replacing the first one.
What is the probability of drawing a white
marble on the first draw, followed by a black
marble on the second?
Answers
Answer:
4/15
Step-by-step explanation:
P(drawing white marble and black marble)
= 6/10 × 4/9 [9 as there is no replacement]
= 4/15
AYUDA LA NECESITO RAPIDO AHHHH
Answers
Answer:
y=7(3)= 21
y=7(8)= 56
y=7(10)= 70
Step-by-step explanation:
Answer:
X Y
3 21
8 56
10 70
Step-by-step explanation:
Find Y by plugging in each X value to the given function.
Encuentre Y reemplazando cada valor de X en la función dada.
When x = 3 : y = 7 * 3 = 21
Cuando x = 3 : y = 7 * 3 = 21
When x = 8 : y = 7 * 8 = 56
Cuando x = 8 : y = 7 * 8 = 56
When x = 10 : y = 7 * 10 = 70
Cuando x = 10 : y = 7 * 10 = 70
You start at (8, 3). You move right 1 unit and down 3 units. Where do you end?
Answers
Answer:
(9,0)
Step-by-step explanation:
8 + 1 = 9
3 - 3 = 0
(9,0)
Question 1 (Essay Worth 10 points)
(4.01 MC)
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
Answers
The linear equations of the candles are y = 0.5x + 8 and y = 0.4x + 8. And both relationships are the function.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A candle burns down at the rate of 0.5 inches per hour.
The original height of the candle was 8 inches.
Let y be the height of the candle and x be the number of hours.
Then the linear equation will be given as
[tex]\rm y = mx + c[/tex]
where m is the rate and c is the initial value. Then the linear equation of the candle will be
y = -0.5 x + 8
The function is a linear function.
If the value of m is replaced by 0.4. Then the linear equation will be
y = 0.4x + 8
And this will also be a linear function.
More about the linear system link is given below.
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Bailey writes the expression g2 14g 40 to represent the area of a planned school garden in square feet. what factors can be used to find the dimensions of her garden? (g−4)(g−10) (g 4)(g 10) (g 4)(g−10) (g−4)(g 10)
Answers
The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the area of the planned school garden as:
A = g² + 14g + 40
A = g² + 10g + 4g + 40 = g(g + 10) + 4(g + 10)
A = (g + 4)(g + 10)
The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.
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show 2/5 65 and 3/8 on the number line below
Answers
HELP ME OUT HERE! PLS TELL ME HOW U GOT THE ANSWER TOO!
Answers
Answer: Choice C
[tex]\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}0 & 1\\\cline{1-2}2 & 2\\\cline{1-2}4 & 3\\\cline{1-2}6 & 4\\\cline{1-2}\end{array}[/tex]
=========================================================
Explanation:
There are four marked points on the line.
Each point is of the form (x,y)
The first or left most point is (0,1) The second point is (2,2)The third is (4,3)The fourth is (6,4)Each of these points is then listed in the table format as shown above.
There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).
Extra side notes:
The slope of this line is m = 1/2 = 0.5The y intercept is 1 located at (0,1) The equation of this line is y = 0.5x+1Answer:
the anwser is c
Step-by-step explanation:
trust me