Hewwo!
In the figure, O is the centre of the circle , chords MN and RS are intersected at P. If OP is bisector of [tex] \angle[/tex] MPR , prove that : MN = RS
Answers
Answer:
See Below.
Step-by-step explanation:
Please refer to the diagram below.
We are given that O is the center of the circle, and chords MN and RS are intersected a P. OP is the bisector of ∠MPR. And we want to prove that MN = RS.
We will construct segments OK and OJ such that it perpendicularly bisects MN and RS.
Since OP bisects ∠MPR, it follows that:
[tex]\displaystyle \angle JPO\cong \angle KPO[/tex]
And since OK and OJ are perpendicular bisectors:
[tex]m\angle OKP=90^\circ \text{ and } m\angle OJP=90^\circ[/tex]
Therefore:
[tex]\angle OKP\cong \angle OJP[/tex]
By the Reflexive Property:
[tex]OP\cong OP[/tex]
Therefore:
[tex]\Delta OKP\cong \Delta OJP[/tex]
By AAS Congruence.
Hence:
[tex]OK\cong OJ[/tex]
By CPCTC.
Recall that congruent chords are equidistant from the center.
Thus, by converse, chords that are equidistant from the center are congruent.
Therefore:
[tex]MN\cong RS[/tex]
Answer:
this is your answer look it once.
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Sarah has saved $10. She doubles the amount she saves each week. Write the exponential equation that represents this situation.
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C stands for the number of weeks she saved.
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Answer:
I'm not positive on this but I think the answer might be C 27 sin (39)/ sin (51)
Step-by-step explanation:
riangle ABC and XYZ are similar. If AB = 6 in., BC = 13 in., AC = 14 in., and XY = 10in., what is XZ?
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In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=". ... Solving an equation containing variables consists of determining which values of the variables make the equality true.
What is 1 * 10 ^ - 3 written in standard form?
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Answer:
In standard form, 1 * 10^-3 would be 1/1000.
Step-by-step explanation:
what number is in the tenths place - 16.247
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Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Tenths place is right behind the decimal place.
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Answer:
B. (-3, -17)
Step-by-step explanation:
Piper has a balance of $1,500 on
her credit card with a 21% interest
rate. Piper will make payments of
$79.54 for 24 months to pay off
the card. How much will Piper pay
in interest?
Answers
Answer: $408.96
Step-by-step explanation:
The interest to be paid is $336.32.
What is credit card interest?For credit cards, the interest rates are typically stated as a yearly rate. This is called the annual percentage rate (APR). On most cards, you can avoid paying interest on purchases if you pay your balance in full each month by the due date.
Given the balance on the card = $1500,
Interest rate = 21%
Monthly payment = $79.54
Months = 24
The credit card interest rate is given by,
Interest = (Balance x APR) / 12
= 1500 × 0.21 / 12 = $26.25
Amount of Next Payment Applied to Principal:
$53.29
Amount of Next Payment Applied To Interest:
$26.25
Total Interest Cost Until Payoff:
$336.32
Number of Monthly Payments Until Payoff:
24
Total Years Until Payoff:
2
Hence the interest to be paid is $336.32.
Learn more about credit card interest click;
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What is an equation of the line that passes through the points (-3, 8) and (-7,8)?
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I'm so clueless please help!
I have no clue how to give people brainliest points or whatever u wanna call it
Can someone help me??
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Answer:
Nothng to it just mark them
Step-by-step explanation:
jaimie lu deposited $950.00 Into her new savings account no other deposits or withdrawals were made the bank pays an annual percentage rate of 5.75% compounded semiannually after 2 1/2 years how much interest will she earn
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Answer:
$1094.64 is the answer
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5 is 1/2 of what number?
Answers
Answer:
10
Step-by-step explanation:
10/2=5
Answer:
10?
Step-by-step explanation: 5 time 2 is 10
Help Math 60points please
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Answer:
solving equation by quadratic formula method, we get:
D = b² - 4ac
=(-5)² - 4 × 1 × 3
=25-12=13
D> 0,
so it has real roots.
x=- b ± √D/2a
- 5 ± √13/2
Correct choice [A] and [C].
Select all the angles that would have a cosine ratio of -sr3/2.
A. 510°
B. -5pi/6
C. -11pi/6
D. 120°
E. 19pi/6
F. 390°
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Sarah needs 3 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.20. How much will the fabric cost? [1 ft = 0.305 m]
Answers
Answer:
The 3 feet fabric will cost $ 1.09728 almost $ 1.10
Step-by-step explanation:
First we will find out how many meters 3 feet will be.
1 feet = 0.3048 meters
She needs 3 feet of fabric
3 *1 feet = 3* 0.3048 ( multiplying both sides by 3)
3 feet = 0.9144 meters
Using the unitary method we will find the cost of 3 feet of fabric
1 meter costs $ 1.20
0.9144 *1 meter costs $ 1.20 * 0.9144 ( multiplying both sides by 0.9144)
0.9144 meter = $ 1.09728
The 3 feet fabric will cost $ 1.09728 almost $ 1.10
Answer: 1.10
Step-by-step explanation: I did the test on FLVS, and got the answer right
Please help and explain why
Answers
9514 1404 393
Answer:
A function 2
Step-by-step explanation:
"Rate of change" in this context refers to the slope of the line.
Function 1
The slope of the line is the "rise" divided by the "run". That is, the vertical change between two points divided by the horizontal change between two points. Usually, we like to choose points where the line crosses gridline intersections. One of these is the y-intercept (0, -2). Another is 2 units right and 1 unit up at (2, -1).
The slope of function 1 is then ...
m = rise/run = 1/2
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Function 2
The equation for function 2 is written in the "slope-intercept form." That is, the form is ...
y = mx + b . . . . . . . . where m is the slope and b is the y-intercept
Comparing this form to the given equation, we find ...
m = 5/2, b = -2
The slope is m = 5/2.
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The slope of function 2 is 5/2. That is greater than the slope of function 1, which is 1/2.
Function 2 has the greater rate of change.
What is the surface area of the prism
Answers
Answer:
168 meters squared
Step-by-step explanation:
For one side 9*2, for one side 6*2, for the last side 6*9. Add them all and multiply by 2 to get 168.
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Answer:
8.6 ft
Step-by-step explanation:
I'm sure this is a problem where you use pythagorean theorem so since the person walks 7ft and climbs 5ft, you can form a right triangle.
So just do [tex]\sqrt{7^2+5^2}[/tex] and you get [tex]\sqrt{74}[/tex] which rounds to 8.6
Simply the monomials below
(-8x⁴ y³)•(2x⁵ y²)+7x⁹ y⁵
Answers
Answer:
-9x^9y^5
Step-by-step explanation:
Do the multiply first:
-16x^9y^5+7x^9y^5
=x^9y^5(-16+7)
=-9x^9y^5
Answer:
-9x^9y^5
Step-by-step explanation:
this could be wrong since there was a lot of terms but oh well
But for real, quick question for fifty points.
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Answer:
8√3
Step-by-step explanation:
adj = 16√3 ÷ 2 = 8√3
Answer:
D)16
Step-by-step explanation
we are given a 30-60-90 triangle and the longer side of the triangle
remember the properties of 30-60-90 triangle
the hypotenuse is twice as much as the shorter legthe longer leg is the square root of 3 times shorter legas we are given the longer leg we'll use the second property
let the shorter leg be x
so our equation is
[tex]\displaystyle x\sqrt{3}=16\sqrt{3}[/tex]
divide both sides by √3:
[tex]\displaystyle \frac{x\sqrt{3}}{\sqrt{3}}=\frac{16\sqrt{3}}{\sqrt{3}}[/tex]
[tex]\displaystyle x=16[/tex]
hence,
the length of the shorter leg is 16
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Answer:
B
Step-by-step explanation:
Because its just correct
This cartoon expresses a viewpoint that led to...
A) the passage of a federal statute prohibiting foreign companies from contributing to presidential campaigns.
B) a Supreme Court ruling declaring it unconstitutional for members of the same political party to serve consecutive terms as president.
C) creation of a congressional committee to investigate private presidential conduct.
D) the ratification of a constitutional amendment establishing term limits for presidents.
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Answer:The answer is D
Step-by-step explanation:
the ratification of a constitutional amendment establishing term limits for presidents.
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Answer:
V=15
Step-by-step explanation:
You have to make V the subject of the formula. Start by multiplying both sides of the problem by three to get rid of it on the left and multiply it to 8 on the right. Then carry 9 over to the answer on the right side and make sure tp change the sign to subtraction. Then carry out the operation and you have the answer.
3 (v+9/3)=(8)3
v+9=24
v=24-9
v=15
One of the legs of a right triangle measures 6 cm and the other leg measures 9 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answers
Answer: 10.8
Step by step explanation:
Use Pythagorean theorem
C^2= a^2+b^2
C^2=6^2+9^2
C=sqrt(6^2+9^2)
C=10.8
Find the measure of ∠HGF
Answers
Answer:
1/2FJH ARC
Step-by-step explanation:
The measurement of angle HGF=1/2 FJH Arc
it cover by arc FJH
Which of the following are valid names for the triangle below? Check all that apply.
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Find the X and Y intercepts
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Answer:
y intercept is 5 and the x intercept is 10
Step-by-step explanation:
The intercept is the number at which a line intercept an axis.
Hope this helps :)
The domain of a function, f(x), is all numbers equal to or greater than 1 but less than 3. What is the correct notation for expressing this domain?
Answers
Answer:
{x | 1 ≤ x < 3}
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Answer:
A
Step-by-step explanation:
because it is anything less than -2
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Answers
Answer:
To solve an inequality use the following steps:
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Step-by-step explanation:
Up there!
Find the slope of the line below. Enter your answer as a fraction or decimal. Use a slash mark ( / ) as the fraction bar if necessary.
Answers
Answer:
Slope = 2/3
Step-by-step explanation:
From the attached graph :
Point 1 = (-1, 4)
Point 2 = (-5, - 2)
x1 = - 1 ; x2 = - 5
y1 = 4 ; y2 = - 2
Slope = Rise / Run
Rise = (x2 - x1) = - 5 - (-1) = - 5 + 1 = - 4
Run = (y2 - y1) = - 2 - 4 = - 6
Hence,
Slope = - 4 / - 6 = 4 /6 = 2/3
Slope = 2/3