Find m
86
W
X
•
N
156
Y
Given:
A circle with center Z and the points W, X, Y are on the circumference of the circle.
To find:
The measure of angle WXY.
Solution:
From the given figure, we get
[tex]Arc(XY)=156^\circ[/tex]
[tex]Arc(WX)=86^\circ[/tex]
The measure of arc of the complete circle is 360 degrees.
[tex]Arc(WX)+Arc(XY)+Arc(WY)=360^\circ[/tex]
[tex]86^\circ+156^\circ+Arc(WY)=360^\circ[/tex]
[tex]Arc(WY)=360^\circ-86^\circ-156^\circ[/tex]
[tex]Arc(WY)=118^\circ[/tex]
The measure of arc WY is 118 degrees. It means the central angle on this arc is also 118 degrees.
[tex]m\angle WZY=118^\circ[/tex]
According to the central angle theorem, the inscribed angle on an arc is always half of its central angle.
[tex]m\angle WXY=\dfrac{m\angle WZY}{2}[/tex]
[tex]m\angle WXY=\dfrac{118^\circ}{2}[/tex]
[tex]m\angle WXY=59^\circ[/tex]
Therefore, the correct option is A.
A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50
Two angles are supplementary. The larger angle is 6 degrees less than twice the smaller angle. What is the degree measure of the larger angle?
PLEASE HELP ME *begs*
Answer: 2
Step-by-step explanation: so just plug in the numbers first 3(4)-2(-1)-9+3(-1)
then easy just solve remember two negatives equal a positive so 3 times the 4 is 12 and then -2 and -1 is just a positive 2 then minus the 9 and then add -3 because a positive and a negative is a negative and written out that all is 12+2-9+(-3) then it's 14-9 which is 5 then 5+ (-3) is positive 2 so boom lol I hope this helps! let me know if you need any more help! :')
Answer:
2
Step-by-step explanation:
║x = 4
║y = −1
3x − 2y − 9 + 3y
↓
3x + y − 9
↓
[(4 ⋅ 3) − 1] − 9
↓
(12 − 1) − 9
↓
11 − 9
↓
2
Next time, begging won't work. You'll need to provide a human sacrifice.
Uh please help me, I need a step by step answer.
Answer:
B 1296
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of a triangle = [tex]\frac{1}2[/tex] × Base × Height
3 sides are rectangles with the measurements of (9mm by 21mm)
So 3(9 × 21) = 567mm^2
6 sides are rectangles with the measurements of (9mm by 9mm)
So 6(9 × 9) = 486mm^2
1 side is a rectangle with the measurements of (9mm by 15mm)
So (9 × 15) = 135mm^2
2 sides are triangles with unknown, but equal bases.
To calculate the base, you subtract 9 from 21: 21 - 9 = 12mm
Therefore the base = 12mm
The other measurement can be found by looking to the left of the triangle (9mm from the side)
So 2([tex]\frac{1}2[/tex] × 12 × 9) = 108mm^2
Add the sides up:
567 + 486 + 135 + 108 = 1296 mm^2
Which of the following is the equation of a line that has a slope of -2 and passes through the
point (1,6)?
y=x+6
y=-2x+8
y=-2x+4
y=1/2x+4
Answer:
ehhehrjrh4h4hehejejru4u4u
A cardboard box has edges of length 2.3 in, 6.5 in, and 9.7 in. What is the volume of the box?
Answer:
volume = 145.02 in³
Step-by-step explanation:
volume = 2.3 x 6.5 x 9.7 = 145.02 in³
Jamal's car travels an average of 16.7 miles per gallon of gas.
A full tank of gas is 20 gallons. Jamal has driven 292 miles
since he last filled his gas tank. How many more miles can
Jamal expect to travel on this same tank of gas?
Answer:
42 miles
Step-by-step explanation:
20 x 16.7 = 334 miles on a full tank of gas
he drove 292 miles so 334 - 292 = 42 miles left
PLS HELP I PROMISE ILL GIVE U BRAINLEST
5:15pm was the start time.
Which of the following expressions is this one equivalent to?
(x4 – 2x3 – x+2) / (x3 - 1)
A. X-2
O B. x2-1
O c. x2+x+1
O D. x2 + 3x + 2
Answer:
option A
Step-by-step explanation:
(X - 2) is the answer
hope it helps
What is the slope-intercept equation for the following line?
Answer:
y = 2x + 7
Step-by-step explanation:
ALgebra is my best subject! Have a good day!
Estimate:
89)364
A
4
B
270
10
D
450
Answer:
expresión
Step-by-step explanation:
Answer:
Step-by-step explanation:
Either the question is displayed incorrectly, or some crucial information has been omitted.
During a fundraiser, Ms. Dawson’s class raised $560, which is 25% more than Mr. Casey’s class raised. How much money did Mr. Casey’s class raise?
A. $420
B. $448
C. $700
D. $2,240
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Which histogram correctly displays the given data?
Answer:
i think the amswer would be B
Answer:
B is the accurate answer.
plz mark me as brainliest.
6) A garden is a rectangle 6 yards by 8 yards. If you walk diagonally across the garden
instead of along two adjacent sides, how many yards do you save? (5 points)
Answer:
Step-by-step explanation:
10 yards by 15 yards
Step-by-step explanation:
Let the dimensions of each plot x yards by y yards.
If three plots are placed as the y-yards side are common to them then,
The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)
⇒ 3x + 2y = 60 ........... (2)
Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)
Now, solving equations (2) and (4) we get,
⇒ 225 + y² = 30y
⇒ y² - 30y + 225 = 0
⇒ (y - 15)² = 0
⇒ y = 15 yards.
Hence, from equation (4) we get,
x = 150/15 = 10 yards.
Therefore, the dimensions of each plot are 10 yards by 15 yards.
In the coordinate plane below, quadrilateral PQRS is reflected over the x-axis. Which segment is segment QR congruent to?
Answer:
Q'R'
Step-by-step explanation:
Given
Quadrilateral PQRS
Reflected over x-axis
Required
Congruent side to QR
This question has a missing attachment, but can still be solved without the attachment.
When a shape is reflected, the sides and the angles of the shape remain unchanged.
This means that when PQRS is reflected to give P'Q'R'S, the following sides will be congruent.
[tex]PQ = P'Q'[/tex]
[tex]QR = Q'R'[/tex]
[tex]RS = R'S'[/tex]
[tex]SP = S'P'[/tex]
Hence, QR will be congruent to Q'R'
53, 13, 34, 41, 26, 61, 34, 13, 69 4) Mean : Median Mode : Range:
Answer:
Mean: 34.8
median:34
Mode: 13,34
Range:65
Step-by-step explanation:
The value of Mean is 34.4
The value of Median is 34 (middle term)
The value of Mode is 13 and 34.
The value of Range is 56.
Here,
The data set is,
53, 13, 34, 41, 26, 61, 34, 13, 69
We have to find the value of Mean , Median , Mode and Range.
What is Range of the data set?
To find Range of the data set we have to find the difference of highest and lowest number of the set.
Now,
The data set is,
53, 13, 34, 41, 26, 61, 34, 13, 69
Firstly we arranged in the ascending order we get;
13, 13, 26, 34, 34, 41, 53, 61, 69
The Mean of data set is calculated as;
Mean = [tex]\frac{13+13+ 26+ 34+ 34+41+ 53+61+ 69}{9} = \frac{310}{9} = 34.4[/tex]
Hence, The value of Mean is 34.4
And, The Median is calculated as,
There are nine numbers (odd) in the data set, so the median is the middle value of given data set after arranging in ascending order.
Hence, The value of Median = 34 (middle term)
Now, The Mode is the number that appears most often within a data set.
In the data set,
13, 13, 26, 34, 34, 41, 53, 61, 69
Number 13 and 34 repeat two times.
So, The value of Mode = 13 and 34
Now, To find Range of the data set we have to find the difference of highest and lowest number of the set.
Here, In the data set;
The highest number = 69
The lowest number = 13
Hence, Range = 69 - 13 = 56
Therefore,
The value of Mean is 34.4
The value of Median is 34 (middle term)
The value of Mode is 13 and 34
The value of Range is 56
Learn more about the range of data set visit:
https://brainly.com/question/24326172
#SPJ2
scientific notation without common powers of ten
Answer:
1.16*10⁻¹ or 1.16E-1
Step-by-step explanation:
(5.8*10⁻⁶)(2*10⁴)
5.8*2*10⁻⁶*10⁴
11.6*10⁻²
1.16*10⁻¹
1.16E-1
Jessica had 8 sheets of paper. Water spilled on 2 sheets, so she threw them in the recycle bin. She drew 7 stars on each remaining sheet. How many stars did Jessica draw?
Answer:
42
Step-by-step explanation:
The remaining sheets of paper can be find in this way:
8-2 = 6
for each sheet of paper she drew 7 stars, so the total can be find in this way:
6 x 7 = 42 stars
One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution tgat is 21% alcohol?
Answer:
Step-by-step explanation:
One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution that is 21% alcohol?
Let us represent
First solution =>x
Second solution => y
System of equations
x + y = 24.....Equation 1
x = 24 - y
26% × x + 11% × y = 21% × 24
= 0.26x + 0.11y = 5.04... Equation 2
Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.
Year
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Median Age
25.1
24.6
24.3
24.3
22.8
22.8
23.2
24.7
26.1
26.8
What does a rate of change of zero mean in this situation?
a.
The median age of a man at the time of his first marriage is, on the average, constant.
b.
The median age of a man at the time of his first marriage is, on the average, decreasing.
c.
The median age of a man at the time of his first marriage is, on the average, increasing.
d.
The rate of change cannot be zero in this situation.
Answer:
its a on edg 2021
Step-by-step explanation:
The median age of a man at the time of his first marriage is, on the average, constant.
What is the average change rate?It represents the average amount by which the function changed per unit across the time period. It is calculated using the slope of the line connecting the interval's ends on the function's graph.
Assuming that the United States Bureau of the Census conducts a formal census of everyone in the United States every ten years, the following data provides the median age of an American man at the time of his first marriage.
Determine the rate of change between 1950 and 1960.
The average rate of change = [f(a) - f(b)]/ [ a - b ]
The average rate of change is equal to (22.8 - 22.8) / 10 = 0.
As a result, the average rate of change between 1950 and 1960 is zero. B is the right answer.
learn more about average rate of change here:
brainly.com/question/11627203
#SPJ7
Kathy dropped a snowball from a building that is 39.2 meters tall. The equation t2 = 39.29.8 represents the amount of time, in seconds, it takes for the snowball to reach the ground. How long did it take the snowball to reach the ground?
Answer:
We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;
t² = 39.2 × 2/9.81
From which we have;
The time it takes the snowball to reach the ground is approximately 2.83 seconds
Step-by-step explanation:
The height of the building from which the ball is dropped, h = 39.2 m
The equation of the dropped a snowball, is given as follows;
t² = 39.2 × 9.8
Using the From the equation of free fall, we have;
s = u·t + 1/2·g·t²
Where;
u = The initial velocity = 0 m/s
t = The time of flight
g = The acceleration due to gravity = 9.81 m/s²
Therefore, we get;
∴ s = The height from which the snowball is dropped = 39.2 m
Therefore, we get;
39.2 = 0×t + 1/2×9.81×t²
∴ t² = 39.2 × 2/9.81 ≈ 7.99
t = √(7.99) ≈ 2.83
The time it takes the snowball to reach the ground, t ≈ 2.83 s.
Answer:
2 seconds
Explanation:
I had to do this assignment that's the correct answer
15b>75.Substitute 5 for b
True or False
Answer:
False
Step-by-step explanation:
Which equation represents a line that has a slope of – 2/3 and a y-intercept of 4?
A)
2x + 3y = 12
B)
2x - 3y = 12
C)
3x - 2y = 12
D)
3x + 2y = 12
Answer:
A
Step-by-step explanation:
Slope-intercept form: y=mx+b
2x+3y = 12
3y = 12-2x
y = (12-2x)/3
y = 4-2/3x
Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.
Calculate the area of the shape below:
6 in
6 in
12 in
O 54 in?
0 432 in?
O 216 in
O 108 in?
Answer:
54
Step-by-step explanation:
The square in the middle = 36, as 6x6=36
There are 2 triangles on each side of the center square.
Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.
3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2
18x1/2 is 9.
Each triangle equals 9.
36+9+9=54
The final answer is 54
Pos
Use the inverse trig ratios to find the value of the missing angle. Round to the nearest WHOLE NUMBER.
99
44
Angler
Answer:
hi
Step-by-step explanation:
12 in
I need help plz. Can anyone help me ASAP?
Answer:
6 + 4d + 11c
Step-by-step explanation:
In order to find the perimeter, you add up all the side lengths which would be expressions in this case
(10c + 10) + (c + 5) + (4d - 9)
add like terms: (10c + c) + (10 + 5 - 9) +4d
= 11c + 6 + 4d
which is the same as 6 + 4d + 11c, I just added them in a different order.
can anyone help me please :)
Answer: B
Step-by-step explanation:6+4+5+3+8=26
26-6=20 20/26=10/13
Sylvia is fencing a rectangular rose garden. The hardware store sells fencing for
$22.50/m. Her family has $250 to spend. What dimensions should Sylvia use to
build a garden with the greatest area?
Answer:
Total Money= $250
Fence Price=$22.50/m
Metres can buy= $250/22.50= 11.11 metres
What is 2/5 divided by 4
the answer to the question is 0.1
Answer:
1/10 or 0.1
Step-by-step explanation:
You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.