Answers
I'll do problem 9 to get you started.
Refer to figure 1 shown below. I've highlighted triangle AOB in red. This is an isosceles triangle with AO = OB as the congruent sides. These sides are congruent because they are radii of the same circle. Consequently, it means that the base angles opposite those sides are congruent.
I'll let x be the base angles. I'll let the remaining interior angle be y. Furthermore, z is adjacent to angle y.
For triangle AOB, and any triangle really, the interior angles add to 180 degrees.
A+O+B = 180
x+y+x = 180
2x+y = 180
y = 180-2x
Then we can say
(angle AOB) + (angle AOP) = 180
y + z = 180
180-2x + z = 180
z = 180+2x - 180
z = 2x
The punchline here is that angle ABP doubles to angle AOP.
angle AOP = 2*(angle ABP)
You'll repeat these same type of steps for triangle BOC in figure 2. The steps are effectively identical so there's not much for me to explain that I already haven't done so. You should find that r = 2m which shows angle PBC doubles to angle POC.
-----------------------------
To wrap everything up for problem 9, we will combine the results we found for variables z and r.
angle AOC = z+r
angle AOC = 2x + 2m
angle AOC = 2(x+m)
angle AOC = 2*(angle ABC)
This concludes the inscribed angle theorem proof. Any inscribed angle doubles to get the corresponding central angle, where both subtend the same arc. In this case, they both subtend the arc APC.
Related Questions
Solve the following inequality
Answers
Answer:
14<x<20
Step-by-step explanation:
14<x<20 is your required answer
3.873... express in p/q form
Answers
p/q formula
The theorem states that each rational solution x = p⁄q, written in lowest terms so that p and q are relatively prime, satisfies: p is an integer factor of the constant term a0, and.
WILL GIVE BRAINLIEST
What is a basic definition of wind?
Question 4 options:
Air that is moving below 60 mph.
Air that is moving above 15 mph.
Air that s moving primarily in a vertical direction.
Air that is moving primarily in a horizontal direction.
Answers
Answer:
Air that is moving primarily in a horizontal direction.
Answer:
Wind is the movement of air horizontally.
I need help on number 16 these instructions say to solve these equations by cross multiplying
Answers
Answer:
15. x = 4
16. a = 19
Step-by-step explanation:
"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."
__
15.[tex]\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}[/tex]
This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:
x = 6(2/3) = 4
That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.
__
16.[tex]\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}[/tex]
) What is the slope and y-intercept of this line?
y = –4x + 7
Question 8 options:
slope: 4, y-intercept: –7
slope: –4, y-intercept: 7
slope: 7, y-intercept: –4
slope: -7, y-intercept: -4
Answers
Answer:
slope: -4 y intercept 7
Step-by-step explanation:
when using the formula y=mx+b
The slope is the fraction for m -4/1 or -4.
The y intercept is 7 and thats where the graoh starts.
Answer: slope: -4, y-intercept: 7
Step-by-step explanation: I just took the test :)
=
2) Solve the system 2x + 5y = 7 and 3x + 4y = 6 by elimination. Which
procedure produces opposite terms to eliminate x? Include proper
justification
Explain step by step
Answers
Answer:
I'd times the first equation by 3 and the second equation by 2. Giving:
6x + 15y = 21
6x + 8y = 12
then I'd subtract the second from the first
6x-6x + 15y-8y = 21-12
7y = 9
y = 7/9
then sub y into one of the equations and solve for x.
Answer:
Step-by-step explanation:
Solving simultanius equation by elimination
2x + 5y = 7 -------------(I)
3x + 4y = 6 ---------------(II)
To eliminate x, multiply equation (I) by (-3) and equation (II) by 2. Then add the two equations. Now, 'x' will be eliminated and we can find the value of 'y'.
(I) *(-3) -6x - 15y = -21
(II)*2 6x + 8y = 12 {Now add}
- 7y = -9
y = -9/-7
y = 9/7
In a times table test, Mr. Dolan's students score 21, 25, 17, 23, 25, 21, 27, 21, and 18 out of a total of 35. Find the measures of center and then type a numerical answer only in spaces below. mean = median = mode =
Answers
The measures of center of the students score are:
Mean = 22
Median = 21
Mode = 21
What are Measures of Center?Measures of center of a data distribution are the mean, median, and mode.
Given the data, 21, 25, 17, 23, 25, 21, 27, 21, 18:
Mean = sum of all data values / number of data values = 198/9 = 22
Median = the middle value in the ordered data set = 21
Mode = the most appeared data value = 21 (appeared 3 times)
Learn more about the measures of center on:
https://brainly.com/question/1378589
pls help, photo below. will give brainliest
Answers
5 22 34 68 ur band
find the area of a circle with a radius of 10 centimeters. use 3.14 for pie
Answers
Answer:
Formula for area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
10 squared is 100cm. 100cm*3.14 equals 314cm.
The area of the circle is [tex]314cm^{2}[/tex]
x^4+ 4x² – 45 =0
factored form (x² - 5)(x² +9)=0
does anyone know how to solve this?
Answers
Answer:
[tex]( {x}^{2} - 5)( {x}^{2} + 9) = 0 \\ {x}^{2} - 5 = 0 \: \: \: \: \: \: \: \: {x}^{2} + 9 = 0 \\ {x}^{2} = 5 \: \: \: \: \: \: \: \: {x}^{2} = - 9 \\ x = \sqrt{5} \: \: \: \: \: \: \: \: x = \sqrt{ - 9} [/tex]
Find the volume of the rectangular prism
Answers
Answer:
336
Step-by-step explanation:
V=whl=8·7·6=336
A circle with center O(3,3)O(3,3) contains the point A(-1,14)A(−1,14).
Write a subtraction expression for each length OF AB and ABAB:
Answers
The equation for the subtraction of length of AB is -3-(-14)
How to calculate the distance between two points:The distance between two points is the measure of the distance covered by an object.
From the given diagram, we are to find the distance between the point A and B. Since the x-coordinate are equal, hence:
AB = y2 - y1
AB= -3 - (-14)
AB = 11 units
Hence the equation for the subtraction of length of AB is -3-(-14)
Learn more on distance here: https://brainly.com/question/24775607
If x is directly proportional to y, and x = 4.5 when y = 3, find
(i) an equation connecting x and y
(ii) the value of x when y = 6,
(iii) the value of y when x = 12.
Answers
Answer:
1. don't know what you want for the first one but..
2. x=9
3. y= 8
Step-by-step explanation:
x = 1.5y
ex y=2 x=2
In experimental studies, we follow a logical method to arrive at a conclusion. Arrange the given steps in the correct sequence.
Answers
Answer:
state the problem
ask relevant questions
perform an experiment to collect data
compare with the baseline value of the control group
arrive at a logical conclusion
make a hypothesis
Which of the following statements about AB and AC is true?
C44)
A(-11)
-5
3
3 4 5
BIO4)
A. AB and AC are the same length
B. AC is longer than AB
OC. AB is longer than AC.
D. AC is 6 units lona.
PREVIOUS
Answers
Answer:
C. AB is longer than AC
Step-by-step explanation:
Using the distance formula, find the lengths of both AC and AB.
d=√((x_2-x_1)²+(y_2-y_1)²)
The point B is at the centre of the circle. The points P and Q are on the circumference of the circle. Calculate the area of the shaded sector. Take it to be 3.142 in your working. Give your final answer to 1 decimal place.
Answers
Answer: 24.7 square cm
Step-by-step explanation:
Find the distance between (−3, 8) and (4, 1). Round your answer to the nearest tenth.
In distance units.
GIVING TONS OF BRAINIEST!!
Answers
Answer:
[tex]7\sqrt{2}[/tex] to the nearest tenth would be, 9.9
Step-by-step explanation:
Use distance formula:
(-3-4)^2 + (8-1)^2 all under square root.
49 + 49
[tex]\sqrt{98\\[/tex]
Which simplifies to 7[tex]\sqrt{2\\}[/tex]
Hope this helps,
Feel free to mark this brainliest! :)
the answer is 5.099 rounded too 5.1
what is the value of the expression below 2816 * 7
Answers
Answer: 19,712
Step-by-step explanation: 2816 times 7 = 19712
Answer:
19,712
With multiplication, you have to follow 4 easy steps to get your answer, as listed below.Count the number of decimal places in both the multiplicand, and the multiplier.Remember to ignore decimals, you need to right align the numbers one on top of the other as if they were integers.Multiply the numbers using long multiplication, an algorithm.Make sure to insert a decimal point into the product, your final result, so that it has the same number of decimal places equal to the total of decimal places from step 1.________________________________________________________
What have we learned?We learned the four steps to solving a multiplication problem, which can be helpful here, and in the future.
Questions?Ask me in the comments box.
Determine the perimeter
Answers
Answer:
139
Step-by-step explanation:
14+14+28+33+33+17 = 139
Answer: 150 feet
Step-by-step explanation:
bottom blank = top sides added
bottom blank = 14 + 33 = 47
missing right piece is left side and right side subtracted
missing right piece = 28 - 17 = 11
add all sides
28 + 14 + 11 + 33 + 17 +47 = 150
150 feet = perimeter
Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce?A. Sue
B. They paid the same amount per ounce.
C. Sarah
(Will mark brainliest and pls fast)
Answers
Answer:
The answer is Sue or B
Step-by-step explanation:
Sue Paid : 0.12 per ounce when divided
Sarah Paid 0.13 per ounce when divided
Answer:
C, Sarah paid less
Step-by-step explanation:
3.84/32 = 0.12
5.20/40 = 0.13
Sarah paid less per ounce.
a scientist plans to study exotic birds in the rain forest. the helicopter flight to and from the rain forest costs$499. supplies costs $122 for each day. how many days can the scientist spend in the rain forest on $1,283 budget ?
Answers
Answer:
The scientist would be able to go to the rain forest for only 2 days.
Step-by-step explanation:
The scientist only has 1,283. You subtract 1,283 by 122 and 499 and you are left with 662. The scientist wants to go to the rain forest again so he spends 122 and 499 with 662. All he has left now is 41. He can't afford it anymore.
Graph the function using the graphing calculator. find the least positive value of t at which the pendulum is in the center. t = sec to the nearest thousandth, find the position of the pendulum when t = 4.25 sec. d = in.
Answers
The least value of the function at which the pendulum is in the center is 0 and the position of the pendulum when t = 4.25 sec. is 4.24
The graph of the functionThe function is given as:
y = 6cos(πt)
See attachment for the graph of the function
The least positive value of tThe value of t is given as: -0.5
From the attached graph, the smallest value of the function when t = -0.5 is 0.
Hence, the least value of the function at which the pendulum is in the center is 0.
The position of the pendulum when t = 4.25 sec.We have:
y = 6cos(πt)
Substitute 4.25 for t
y = 6cos(4.25π)
Evaluate
y = 4.24
Hence, the position of the pendulum when t = 4.25 sec. is 4.24
#SPJ1
Read more about cosine function at:
https://brainly.com/question/10078563
Answer:
t = 6
next one is 5
Step-by-step explanation:
~Hope this helps! :)
A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?
Answers
Answer:
6x=46.50
Step-by-step explanation:
Please help MATH!!!!!?
Answers
Answer:
A, C
Step-by-step explanation:
A rectangle that measures 1 foot by 5 feet.
What is the perimeter of the rectangle?
5 feet
6 feet
12 feet
36 feet
Answers
Answer:
C. 12 feet
Step-by-step explanation:
If a rectangle measures 1 foot by 5 feet, that means that one side is 1 foot and one side is 5 feet. Since a rectangle has two sets of parallel sides, the other sides of the rectangle will also measure 1 foot by 5 feet.
Adding all of the side lengths will give us the perimeter.
1 + 5 + 1 + 5 = 12
hope this helps :)
pls help me to answer this
Answers
Answer:
225
135
450
270
6750
all the answers
Calculatep the perimeter of the figure
Answers
Answer:
76 m
Sorry if this answer is not correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
First of all, we know all of the sides already except for two, so we need to find them. (The side on the very left and top).
The side on the very top is 18 since the top and bottom are the same lengths. This also implies to the side on the very left. The sides (4+4+4) is equivalent to the side we are trying to find. We now know it is 12.
Second, to find the perimeter of almost every shape, we add all of the sides together.
18+4+8+4+8+4+18+12
This gives the answer of 76 m. (don't forget the label!)
HELP! Amber was asked to solve the following inequality and show all of her work. She made an error when solving.
2x − 3.5 ≥ 10.5
2x − 3.5 − 3.5 ≥ 10.5 − 3.5
2x ≥ 7
2x ≥ 7(2)
x ≥ 14
- A description of what Amber did wrong and what he should have done instead
- Your work solving the inequality
Answers
Amber did wrong at the second and third step : She completely simplify both sides but she has to minus 3.5 twice on the left side in order to do so. But instead, she just make them gone.
Work :
[tex]2x-3.5\geq 10.5 - > 2x\geq 14 - > x\geq 7[/tex]
find the value of x by factoring x^2-9x-36=0
Answers
PLEASE HELP. WILL GIVE BRAINLIEST !! Find the cross product <-1, -3, -8> x <7,4, -5>. Is the resulting vector perpendicular to the given vectors?
<47, -61, 71>; yes
<41, -59, 77>; no
<-59, 71, 41>; yes
<41, -61, -59>; no
Answers
Answer:
Answer:
The cross product is 47 i - 61 j + 17 k.
Step-by-step explanation:
Given that-
a = < -1, -3, -8 > , b = < 7, 4, -5 >
The cross product is
a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤
= i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )
= i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )
= i ( 47) - j (61 ) + k (17)
= 47 i -61 j + 17 k
As we know that if two vectors A & B are perpendicular then
A . B = 0
So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .
Step-by-step explanation:
47, -61, 71>; yes