Answers
Given:
In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and [tex]m\angle BCD=30^\circ[/tex].
To find:
The [tex]m\angle AOB[/tex].
Solution:
If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.
We have, DC is parallel to BA and BC is the transversal line.
[tex]\angle OBA\cong \angle BCD[/tex] [Alternate interior angles]
[tex]m\angle OBA=m\angle BCD[/tex]
[tex]m\angle OBA=30^\circ[/tex]
In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.
The base angles of an isosceles triangle are congruent. So,
[tex]\angle OAB\cong \angle OBA[/tex] [Base angles of an isosceles triangle]
[tex]m\angle OAB=m\angle OBA[/tex]
[tex]m\angle OAB=30^\circ[/tex]
Using the angle sum property in triangle AOB, we get
[tex]m\angle OAB+m\angle OBA+m\angle AOB=180^\circ[/tex]
[tex]30^\circ+30^\circ+m\angle AOB=180^\circ[/tex]
[tex]60^\circ+m\angle AOB=180^\circ[/tex]
[tex]m\angle AOB=180^\circ-60^\circ[/tex]
[tex]m\angle AOB=120^\circ[/tex]
Hence, the measure of angle AOB is 120 degrees.
Related Questions
How much money will you have in 6 years if you invest $1000 at 3% compounded monthly?
Answers
On 15th January, the temperature at place is 20°C. The temperature drops 3 ° each day for 10 days. What is the temperature after the drop
Answers
Answer:
3⁰ peach day means 3×10=30+20=50⁰C
Recall that Daniel's taxable income is $33,914. According to the single taxable income tax brackets for 2018, the amount of income tax that Daniel owes is____
A)$3,391.40
B)$3,501.16
C)$3,653.14
D)$3,879.18
E)$4,069.69
Answers
Answer: E. $4,069.69
Step-by-step explanation:
For individuals who have an income that's between $9,526 to $38,700, their tax rate is 12%.
Therefore, since Daniel's taxable income is $33,914. According to the single taxable income tax brackets for 2018, the amount of income tax that Daniel owes will be:
= 12% × $33,914
= 12/100 × $33,914
= 0.12 × $33,914
= $4,069.69
Answer: D)$3,879.18
Step-by-step explanation:
Teacher told me
What is the following sum?
16x²y +4/3/54x8,5
4x{X/)+12+y(2/28)
8x{X/Xy) + 12x2y? (1/6)
16x®y/2y2
[
48x©y(2/2)
PLEASE HELP!!!!!!!!
Answers
Answer:
the first one
Step-by-step explanation:
[tex]2(\sqrt[3]{16x^{3}y })+4(\sqrt[3]{54x^{6}y^{5} } )= 2(2x\sqrt[3]{2y })+4(3x^{2} y\sqrt[3]{2y^{2} } ) = 4x(\sqrt[3]{2y })+12x^{2} y(\sqrt[3]{2y^{2} } )[/tex]
g In a two-tailed hypothesis test situation, the test statistic is determined to be t = -2.560. The sample size has been 61. The p-value for this test is
Answers
Answer:
The p-value for this test is 0.013.
Step-by-step explanation:
To solve this question, we need a t-distribution calculator.
We have that:
t-statistic, so the t-distribution is used.
We need to find the p-value of the t-distribution with t = -2.56, 61 - 1 = 60 degrees of freedom, in a two-tailed hypothesis test.
With the help of a calculator, this p-value is of 0.013.
please help me please i really need help please
Answers
9514 1404 393
Answer:
100.5 ft²
Step-by-step explanation:
The surface area of the cylinder is given by the formula ...
SA = 2πr(r +h) . . . . for radius r and height h
Using the given numbers, we find the area to be ...
SA = 2(3.14)(2 ft)(2 ft +6 ft) = 32(3.14) ft² ≈ 100.5 ft²
The surface area of the cylinder is about 100.5 square feet.
The probability of picking a quarter from a jar of coins is 0.125. If Cindy has 280 coins in the jar, how many quarters are in the jar?
Answers
Answer:
35
Step-by-step explanation:
HELP ME PLWASE I WILL GIVE ALL POINTS.
What value of x makes this equation true?
0.6x + 7 = 0.1x -8
Answers
Answer:
-30
Step-by-step explanation:
0.6x+7=0.1x-8
0.6x-0.1x=-8-7
0.5x=-15
x=-15/0.5
x=-30
What ordered pair describes the location of point B?
Enter your answer by filling in the boxes.
Answers
Answer:
The coordinate pairs of Point B are (5, 4)
Step-by-step explanation:
To get to point B, you would move 5 units to the right, and then 4 units up. You will end up with (5, 4)
Hope this helps!
ANSWER ASAP WILL MARK BRAINLIEST
Answers
Answer: A
Step-by-step explanation:
A distribution center for a chain of grocery stores has determined that the total amount of time (in hours) required to fill an order from a store and load the order onto a truck for shipping is a normally distributed random variable. A new inventory system has made the process more efficient, and the operations manager decides to estimate the population mean time required to fill an order and have it loaded onto a truck. He selects a random sample of 30 orders and computes the following 98% confidence intervalL (5.85, 6.65) hours. Which of the following statements is true considering the interval given above?
a. 98% of all possible values for the population mean time are in this interval.
b. The margin of error for this interval estimate is 0.80.
c. The length of the interval could be decreased by using a 99% level of confidence.
d. The manager can be 98% confident that all possible times for filling the order and loading the truck are in this interval.
e. If another confidence interval using the same data that the manager used turns out to be [5.97, 6.53], then this interval is based on a smaller level of confidence.
Answers
Answer:
idc
Step-by-step explanation:
why are all your question long?
Please answer 15 points if answered !
Answers
Answer:
c) 108
Step-by-step explanation:
All angles of a regular polygon are the same.
Have a nice day
The supply function for a product is given by p = 40 + 100 underroot 2x + 9, where x is the number of units supplied and p is the price in dollars. If the price is increasing at a rate of $1 per month, at what rate is the supply changing when x = 20?
Answers
the supply changing when x=20 is 40
100 points What is the value of this question ? please help fastttt !!!!!!!!!!!!!!!
Answers
Answer:-5
Step-by-step explanation:
A video store's regular price of a video is $25.95, and
it's on sale for 25% off. What is the sale price of the video?
A) $19.46
B) $25.75
C) $6.49
D) $32.44
Answers
Answer:6.49
Step-by-step explanation:Discount = Original Price x Discount %/100
Discount = 25.95 × 25/100
Discount = 25.95 x 0.25
You save = $6.49
HELPP!! The transformation functions R, S, T, U, and V are shown below
Answers
Answer:
Point T(x, y) is translated 71 units up and then rotated 180° about the origin
Point U(x, y) is rotated 90° counterclockwise, then translated 124 units up.
Point V(x, y) is reflected about the y axis, then translated 8831 units to the left.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point R(x, y) is vertical stretched by a factor of 38 followed by a horizontal stretch of 7, the new point is at R'(x/7, 38y). That is (x, y) ⇒ (x/7, 38y).
If a point S(x, y) is translated 9 units to the right, the new point is (x + 9, y), if it is reflected over the y axis, the new point is S'(-x-9, y). That is (x, y) ⇒ (-x-9, y).
If a point T(x, y) is translated 71 units up, the new point is at (x, y + 71), if it is rotated 180° about the origin, the new point is at T'(-x, -y - 71). That is (x, y) ⇒ (-x, -y - 71).
If a point U(x, y) is rotated 90° counterclockwise, the new point is at (-y, x), if it is then translated 124 units up, the new point is U'(-y, x + 124).
If a point V(x, y) is reflected about the y axis, the new point is at (-x, y), if it is then translated 8831 units to the left, the new point is V'(-x - 8831, y).
What are m∠1 and m∠2?
Answers
Answer:
Angle 1 = 35
Angle 2 = 30
Answer B
Step-by-step explanation:
Angle 1)
You know the total angles in a triangle are 180
You also know that the angle across from 1, next to 115 has to be 180-115 (65) or , this gives you
180-80-(180-115)= 35
Angle 2 )
You know the total angles in a triangle are 180
You also know that the angle across from 85, next to 115 is the same value 65 as it was for the calculation of angle 1.
so this means
180-85-65 = 30
Twice a number a is less than 3.
Answers
Answer:
1
Step-by-step explanation:
1 twice is still 1. This is less then 3.
1 x 1 = 1 <3
Have a good day
(3-(-4)x)2 when x is = 3
Algebra
Class: 6
Answers
Answer:
5
Step-by-step explanation:
//////////////////////////////////////
so it would be (3-(-4)3)2
then you solve
the answer is 30
what is 2+3x1000
plzzzzzzz help need it so bad
Answers
Answer:
answer: 3002
Hope that helps!!
Answer:
3x^1000+2
Step-by-step explanation:
A rectangular prism has a length of 9 inches, a height of 5 inches, and a width of 7
inches. What is its volume, in cubic inches?
Answers
Answer:
315 cubic inches
Step-by-step explanation:
To calculate the volume you multiply all the numbers together.
9 × 7 × 5 = 315
The volume of the rectangular prism is 315 cubic inches
Have a wonderful day! :D
pls can you help me answer all of them
Answers
Answer:
dk
Step-by-step explanation:
dk search it up u may find sum help
An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high school grade point average (GPA) to predict first-year college GPA. The article states that "among these, SAT II scores are the best predictor, explaining 17 percent of the variance in first-year college grades. GPA was second at 15.6 percent, and SAT I was last at 13.3 percent." If the data from this study were used to fit a least squares line with y = first-year college GPA and x = high school GPA, what would the value of r2 have been?
Answers
Answer:
0.156
Step-by-step explanation:
Given that :
% of Explained variance by certain predictors of first year college grade :
SAT 11 scores = 17%
GPA = 15.6%
SAT 1 = 13.3%
Fitting a least squares line :
y = First year college GPA
x = high school GPA
THE r² value which is Coefficient of determination is the percentage of explained variance given by the regression line. The r² value of GPA will the as given above 15.6%
r² = 15.6% = 15.6/100 = 0.156
janine rented an aprtment for 900 a month after a 1year she bought a house
Answers
Answer: what’s the question
?
Step-by-step explanation:
If 12 assemblers can compleate a certain job in 6 hours, how long will the same job take if the number of assemblers is cut back to 9?
Answers
Answer:
8 hours
Step-by-step explanation:
total labor hours required
12 * 6 = 72
hours per worker with 9 workers
72/9 = 8
8 hours
The question is in the photo.
Answers
Which value from the set {3,10,90,108} will make the equation 3x + 3 = 33 true ?
Answers
Answer:
[tex]x = 10[/tex] will make the equation true
Step-by-step explanation:
Given
[tex]\{3,10,90,108\}[/tex]
[tex]3x +3= 33[/tex]
Required
Which is true for x
We have:
[tex]3x +3= 33[/tex]
Collect like terms
[tex]3x= 33 - 3[/tex]
[tex]3x= 30[/tex]
Solve for x
[tex]x = 30/3[/tex]
[tex]x = 10[/tex]
The window has the shape of a kite. How many square meters of glass were used to make the window?
Answers
Answer:
1568cm²
Step-by-step explanation:
28cm + 28cm = 56cm
35cm + 21cm = 56cm
56 × 56 = 3136cm²
3136cm² ÷ 2 = 1568cm²
I’ll mark brainlest
Answers
Answer:
2, 4
Step-by-step explanation:
BRANLIEST TO CORRECT PERSON.. plss help!
Answers
Answer:
C
Step-by-step explanation:
When the expression has an equal sign there is only one solution
6x = 150
* divide each side by 6 *
6x / 6 = x
150 / 6 = 25
we're left with x = 25
The answer would be C, because the dot is in between 24 and 26 which would be 25 and x equals 25