Two tangents PQ and PR are drawn to a circle with center o from an external point P. prove that
Angle QPR = 2 angle OQR
Answers
Answer:
Refer the digram & explanation.
Step-by-step explanation:
GIVEN :-
Tangents PQ & PR drawn to a circle with center O from an external point P.TO PROVE :-
∠QPR = 2∠OQRCONSTRUCTION :-
QR joined.FACTS TO KNOW BEFORE SOLVING :-
(Angle at which tangents are inclined to each other from the external point) + (Angle the tangents subtend at the center of the circle) = 180°.PROCEDURE :-
∠QPR + ∠QOR = 180°
⇒ ∠QOR = 180° - ∠QPR
In ΔQOR , OQ = OR (∵ Radii of the circle are equal)
⇒ ΔQOR is an isosceles triangle (∵ OQ = OR i.e. two sides of the triangle are equal.)
⇒ ∠OQR = ∠ORQ (∵ In an isosceles triangle , the base angles are equal)
So,
∠QOR + ∠OQR + ∠ORQ = 180°
⇒ ∠QOR + 2∠OQR = 180° (∵ ∠OQR = ∠ORQ)
⇒ 180° - ∠QPR = 180° - 2∠OQR (∵ ∠QPR + ∠QOR = 180°)
⇒ -∠QPR = -2∠OQR (∵ Cancelling 180° from both the sides.)
⇒ ∠QPR = 2∠OQR (Proved)
Related Questions
please help besties omg
Answers
Answer:
i believe it would be (iii) DTQ
Step-by-step explanation:
if im correct can i has brainliest
Answer:
DTQ is you're answer
Step-by-step explanation:
can i ave brainly i can help more
Which cards are equivalent to 1/4+2/3 choose all the correct answers
Answers
Answer:
3/12 + 8/12
11/12
Step-by-step explanation:
Use substitution to determine if O is a solution of 5x = 5.
HELP!
Answers
Answer:
x=1
Step-by-step explanation:
5x1=5
A professional tennis player has a serve-return rate of p = 0.71. A random sample of 55 serve returns is selected. Which of the following is the mean of the sampling distribution of p hat ?
Mu Subscript p hat Baseline = p = 0.71
Mu Subscript p hat Baseline = n p = 55 (0.71) = 39.05
Mu Subscript p hat Baseline = 1 minus p = 1 minus 0.71 = 0.29
Mu Subscript p hat Baseline = n (1 minus p) = 55 (1 minus 0.71) = 15.95
Answers
Answer:
I would say A is the answer
PLEASE ANSWER QUICKLY, I WILL LOVE YOU FOREVER. AND GIVE YOU THE BRAINLY THINGY
The scatter plot shows the average movie ticket prices since 1995.
write an equation in slope intercept form for the line that is drawn
use your equation to make a conjecture about the average cost of a movie ticket in 2020
Answers
Answer:
The average movie ticket prices in 2020 was $ 10.25.
Step-by-step explanation:
If (0 , 4) and ( 8, 6) are two points on a line, the slope of the line is:
m= y2 - y1/ x2 - x1
m= (6 - 4) / (8 - 0)
m= 1 / 4
The y-intercept is $ 4, meaning it is the average movie ticket price in 1995.
Therefore,
Y = mx + b
Y = 1/4 x + b
It is m= 1/4, interpreting the slope we have that for every additional 4 years the average movie ticket price will increase by $ 1.
The year 2020 is 25 years after 1995, then
Y= 1/4 (25) + 4
Y = $ 10.25
The average movie ticket price was $10.25 in 2020.
an someone please solve this -18=m+12
Answers
Answer:
m = ‐ 30
Step-by-step explanation:
it is because I say it is
What is the area? I NEED THE ANSWER ASAP. I will BE SCREWED. ANSWER BY 1:30. I'll NAME YOU BRAINLYST
Answers
I don’t know what they talking about or asking
Answers
Answer:
purple
Step-by-step explanation:
systems of equations involves lines that cross
I need help whats dose d = ? 41 = 21d - 7
Answers
Answer:
[tex]\frac{16}{7}[/tex]
Step-by-step explanation:
We have: [tex]41 = 21d - 7[/tex]. We add 7, to get rid of the 7, to the other side. [tex]41+7=21d. \\41+7=48.\\48=21d.[/tex]
41÷21, is[tex]\frac{16}{7}[/tex]
Answer:
4
Step-by-step explanation:
72 paper clips to 63 paper clips
Answers
Answer:
The percent change for this question is -12.5%
Step-by-step explanation:
I don't really understand what you want me to find so Im going to find percent change and difference. The difference is -9 and percent change is -12.5
An angle measures 56° less than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
118, 62
Step-by-step explanation:
We can set a system of equations where x and y are the two angles and x is the larger one
x+y=180
x-y=56
If we subtract the second equation from the first, we get 2y=124, simplifying that, we get y=62. Plugging it into either equation, we get x=118. We can check that 118 is 56 larger than 62, which it is. Thus, x=118, y=62.
CAN U HELP ASAP ILL GIVE 15 POINTS AND PROLLY BRAINLIEST IT
Answers
Answer:
(2, 8) and (3, 11) --- > For example
Step-by-step explanation:
Plug in any number for x
I will use 2.
So if the equation is y = 3x + 2, then the new equation will be ...
y = 3(2) + 2
y = 6 + 2
y = 8 ----> One coordinate can be (2, 8)
Another number you could use is 3.
y = 3(3) + 2
y = 9 + 2
y = 11 ----> Another coordinate may be (3, 11)
PLLLZZZZ HEEELLLPPPP!!!!!!!!!!! Questions are below! :D
Answers
Answer:
12) m∠BXD = 122°
13) m∠GXE = 50°
Step-by-step explanation:
12) m∠BXD = ∡BXC + ∡CXF + ∡FXD = 32° + 50° + 40° = 122°
13) m∠GXE = (90° - m∠AXG) = 90° - 40° = 50°
Carlos deposits $250 into a savings account that earns 4% interest added to it annually. How much interest is added at the end of the year?
The O’Neill Raiders fundraiser has raised $700, which is 28% of their total fundraising goal. What is their total goal?
Sameer scored better than 78% of all students taking a standardized exam. If 650 students took the exam, how many did Sameer score better than?
Answers
The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.
What is Percentage?Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Initial amount, P = $250
Rate of interest, r = 4% = 0.04
Interest amount = P × r × t, where t is the number of years = 1 here.
= 250 × 0.04 × 1
= $10
28% of the total fundraising goal = $700
Let x be the total fundraising goal.
28% × x = 700
0.28x = 700
x = 700 / 0.28 = $2500
Total number of students = 650
Sameer scored better than 78% of all students.
Number of students that Sameer scored better = 78% × 650
= 0.78 × 650
= 507
Hence all the answers are found.
Learn more about Percentage here :
https://brainly.com/question/626448
#SPJ2
A bag contains different colored jelly beans. In the bag, there are 5 red jelly beans, 3 blue jelly beans, 2 green jelly beans, and 2 yellow jelly
beans.
a. What is the probability of picking a blue jelly bean from the bag?
b. Some orange jelly beans are added to the bag. After adding these new jelly beans, the probability of picking a yellow jelly bean changes to 1/8. How many orange jelly beans were added?
Answers
Step-by-step explanation:
hope this help you have a great day!
1/4
Step-by-step explanation:
3/12 = 1/4
(We got 12 by adding all the numbers together.)
HELP ME PLEASEE Select all of the following that could be classified as a Perfect Square Trinomial.
Answers
Son el B el C y el E
PLS HELP ASAP WILL GIVE BRAINLEAST
Answers
Answer:
32
Step-by-step explanation:
Evaluate the expression
9
−
z
9−z9, minus, z when
z
=
4
z=
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 5
Explanation:
9-4 = 5
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
The donut shop sells mini an extra large sizes for each flavor of donut they make. Today they are making powdered sugar glaze chocolate coconut and jelly filled donuts. If Karynah wants to buy one donut how many choices that she have?
Answers
Powdered sugar
Glaze
Chocolate
Coconut
Jelly
Which of the following properties is always true for a parallelogram
Answers
Answer:
C,
Step-by-step explanation:
This is because in a parallelogram the opposite angles are supposed to be congruent showing that when you draw line from opposite ends of the angles they will bisect at the middle of the parallelogram.
If you don't understand my explanation, you can comment and I make it more clear.
Express in y=mx+b
3x-2y=8
Answers
Ms. Ponse knows that only 44% of the pencils she
leis students borrow will be returned to her. She will
let students borrow 125 pencils in the second
semester. How many pencils can Ms. Ponse plan on
getting back?
Answers
Answer:
55
Step-by-step explanation:
44% * 125 = 0.44 * 125 = 55
Answer:
She can expect to receive back 0.44(125 pencils) = 55 pencils
Step-by-step explanation:
She loans out 125 pencils. If 44% will likely be returned, then 100% - 44%, or 56%, will not be returned.
She can expect to receive back 0.44(125 pencils) = 55 pencils
A function is a relation in which every input has exactly one output. Which choice represents a function?
Answers
In a survey of 292 students, about 9.9% have attended more than one play. Which
is closest to the number of students in the survey who have attended more than one
play?
3 students
10 students
20 students
30 students
Witch one
Answers
Answer:
30
Step-by-step explanation:
So we know that there are 292 people and 9.9% attended one play so you just find 10% of 300(approximated) which is the same thing as 30.
Answer:
Step-by-step explanation:
Tina said that circles in a Venn diagram must always overlap. Is Tina correct yes or no? Explain your answer.
Answers
Answer:
No
Step-by-step explanation:
This is because a Venn diagram is made up of two or more circles. The Venn diagram is used to find the amount that everyone agrees with. This means you have to make them overlap in order to find the answer.
Find the volume of a pyramid with a square base, where the side length of the base is 4.7\text{ in}4.7 in and the height of the pyramid is 4.5\text{ in}4.5 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
33.1in³
Step-by-step explanation:
Volume of the square based pyramid = BH/3
B is the base area
H is the height
Base area = L²
Base area = 4.7²
Base area = 22.09 square inches
Height = 4.5in
Get the volume
Volume of the pyramid = 22.09*4.5/3
Volume of the pyramid = 22.09 * 1.5
Volume of the pyramid = 33.135in³
Hence the volume of the square based pyramid to the nearest tenth of a cubic inch is 33.1in³
CAN SOMEONE HELP ME WITH THESE 3??? I NEED THEM SUPER BAD
Answers
Answer:
D
Step-by-step explanation: if you see the weight times length and calulated it you'll get 64 or 84
Answer:
Option B.[tex]5\sqrt{21}[/tex]
Step-by-step explanation:
(x)^2=(CD)(CA)
=(21)(21+4)
=21 × 25
x=√21×25
x=5√21
hope it helps :)
PLEASE HELP PELASE
For ΔABC, the measure in degrees of angles A, B, and C are 60, 55, and x + 20 respectively. What is the value of x?
A.
65
B.
45
C.
95
D.
25
Answers
Answer:
B.45
Step-by-step explanation:
A sum of all angles in a triangle is 180°55+60+x+20=18060+55=115
180-115=65
65-20=45
Answer: 45°
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Answers
Answer:
Step-by-step explanation:
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?
36 + (12 - 8) + 2 × 5
Answers
Answer:
50
Step-by-step explanation:
To answer this we need to use the PEMDAS strategy, first solve any questions in parentheses, next solve all multiplication and division problems from left to right. Next, solve all addition and subtraction problems from left to right.
36 + (12 - 8) + 2 × 5
36 + 4 + 2 x 5
36 + 4 + 10
40 + 10
50
Answer:
[tex]50[/tex]
Step-by-step explanation:
Follow the PEMDAS order of operations:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction.
Calculate the Parentheses- (12-8)
This will equal 4.
[tex]36+4+2x5[/tex]
(x= times)
Multiply and divide, left to right.
[tex]2x5=10[/tex]
[tex]36+4+10=50[/tex]