In a circle PQ & RS are two chords bisecting each other,prove that the two parts of one chord are equal to the two parts of the other.

Answers

Answer 1

Answer:

see proof below

Step-by-step explanation:

Let

p1,p2 = half lengths of chord p

q1,q2 = half length of chord q

By the intersecting chord theorem,

p1*p2 = q1*q2,    substituting p1=p2, q1=q2

p1^2 = q1*2

Take square-roots and reject negative roots

p1 = q1

therefore

p1=p2 = q1=q2, or

two parts of one chord are equal to the two parts of the other.


Related Questions

Directions: For
1.what is the square root
361​

Answers

Answer:

√361=19

Step-by-step explanation:

Which two of the following numbers round to 752.3 if we're rounding to the nearest tenth? Choose 2 answers: a 752.32 b 752.27 c 752.36

Answers

A, B is the answer..................

Answer:

its A and C

Step-by-step explanation:

Just because...........

Solve and CHECK the following:

8−(5x−2)=6−2(3x+1)

Answers

Answer:

X=6/11

Step-by-step explanation:

8-(5x-2)=6-2(3x+1)

8-5x+2=6-6x-2

10-5x=4-6x

6=11x

x=6/11

Answer:

8-5x-2=6-6x+2

8-2-6-2=5x-6x

-10+8=-x

-2 =-x

x=2 ........×-1

x=2

This recipe makes 6 portions of fajitas. Carly has 900 g of chicken, 1200 g of peppers, 150 g of onion, 60 g of spice mix and 30 tortillas. How much more of each ingredient will she need to make 18 portions by following this recipe? Recipe: Serves 6 500 g chicken 600 g peppers 90 g onion 25 g spice mix 12 tortillas

Answers

Answer:

600 g chicken

600 g peppers

120 g onion

15 g spice mix

6 tortillas

Step-by-step explanation:

To make 18 portions, Carly needs to make 3 times the original recipe.

1. Solve for how much of each ingredient is needed.

500 · 3 = 1500 g chicken

600 · 3 = 1800 g peppers

90 · 3 = 270 g onion

25 · 3 = 75 g spice mix

12 · 3 = 36 tortillas

2. Subtract how much of each ingredient Carly already has from how much is needed to find how much more she needs.

1500 - 900 = 600 g chicken

1800 - 1200 = 600 g peppers

270 - 150 = 120 g onion

75 - 60 = 15 g spice mix

36 - 30 = 6 tortillas

Answer:

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Step-by-step explanation:ejbfkwej

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How to do this question plz ​

Answers

Answer:

X=10

Step-by-step explanation:

the triangle is a right angled triangle so use pythagoras theorem a^2+b^2=c^2

x^2+(√200)^2=(√300)^2

x^2+200=300

x^2=300-200

x^2=100

x=√100=10

X=10

The real numbers $x$ and $y$ are such that \begin{align*} x + y &= 4, \\ x^2 + y^2 &= 22, \\ x^4 &= y^4 - 176 \sqrt{7}. \end{align*}Compute $x - y.$

Answers

You get everything you need from factoring the last expression:

[tex]x^4-y^4=-176\sqrt7[/tex]

The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with

[tex]x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)[/tex]

Plug in everything you know and solve for [tex]x-y[/tex]:

[tex]-176\sqrt7=(x-y)\cdot4\cdot22\implies x-y=\boxed{-2\sqrt7}[/tex]

Answer:

-2sqrt(7)

Step-by-step explanation:

Solution:

From the third equation, $x^4 - y^4 = -176 \sqrt{7}.$

By difference of squares, we can write

\[x^4 - y^4 = (x^2 + y^2)(x^2 - y^2) = (x^2 + y^2)(x + y)(x - y).\]Then $-176 \sqrt{7} = (22)(4)(x - y),$ so $x - y = \boxed{-2 \sqrt{7}}.$

A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check. Number of People a c c + a = 40 11 c + 20 a = 728 dollars 8 children and 32 adults 9 children and 31 adults 10 children and 30 adults 12 children and 28 adults

Answers

the 3rd one and that should be it

Answer:

C

Step-by-step explanation:

took test

For the example shown, Jesse said “The total monthly cost of using the ceiling light and the dishwasher was $0.74.” Is Jesse correct? Explain.

Answers

Answer:

what do u mean

Answer: FLOOR GANG OOOH

Step-by-step explanation:

URGENT! Please help me with this question.

Answers

The correct answer is A. 205.3


Step by step is below

Hopefully this help you

:)

Because 10 is a multiple of 90

Answers

Answer: 10 is a multiple of 90

Step-by-step explanation:

90/10 = 9.  Because 9 is a whole number, 10 is a factor of 90, and 90 is a multiple of 10.

Hope it helps <3

Answer:

Step-by-step explanation

:

Why is 10 a multiple of 90?

simply

10 · 9 = 90

What is the volume of a cone when the radius is 6 and the height is 13

Answers

Answer:

489.84 units³

Step-by-step explanation:

Given,

Radius ( r ) = 6

Height ( h ) = 13

Volume of cone = ?

Now, Let's find the volume of cone:

[tex] = \pi \: {r}^{2} \frac{h}{3} [/tex]

plug the values

[tex] = 3.14 \times {6}^{2} \times \frac{13}{3} [/tex]

Evaluate the power

[tex] = 3.14 \times 36 \times \frac{13}{3} [/tex]

Calculate

[tex]489.84[/tex] units³

Hope this helps..

Best regards!!

Find the volume in cubic meters, of the 3-Dimensional composite
figure.
8m
5m

Answers

Answer:

890 m^3 to the nearest whole number.

Step-by-step explanation:

Volume = volume of the cylinder + volume of the hemisphere:

= π r^2 h + 1/2 * 4/3 π r^3

= π*5^2 * 8 + 1/2 * 4/3  π 5^3

= 890.12

 

The value of 3x+2 is 9 plus twice the value of x+5. What is x?

Answers

Answer:

17

Step-by-step explanation:

3x+2 = 9 + 2(x+5)

3x + 2 = 9 + 2x + 10

3x + 2 = 2x + 19

x = 17

Answer:

[tex]\huge\boxed{x=17}[/tex]

Step-by-step explanation:

[tex]3x+2=9+2(x+5)\qquad\text{use the distributive property}\\3x+2=9+(2)(x)+(2)(5)\\3x+2=9+2x+10\\3x+2=2x+19\qquad\text{subtract 2 from both sides}\\3x+2-2=2x+19-2\\3x=2x+17\qquad\text{subtract}\ 2x\ \text{from both sides}\\3x-2x=2x-2x+17\\x=17[/tex]

Bao can eat 12 chicken wings in 3 minutes.She eats the chicken wings at a constant rate how many chicken wings can bao eat in 12 minutes

Answers

Answer:

48 wings

Step-by-step explanation:

12:3 is the ratio. So multiply both of it by 4. Then it would be 48:12

Answer:

48 chicken wings

Step-by-step explanation:

If Bao can eat 12 chicken wings in 3 minutes and 12 minutes is 3 minutes times 4, then the answer would be 12 chicken wings times 4, so 12 times 4, which is 48, so the answer would be 48 chicken wings.

The diagonals of kite KITE intersect at point P. If m A. 34°
B. 46°
C. 68°
D. 92°

Answers

Answer:

The diagonal of kite intersect at the point p is C. 68°

Can someone pls help me!

Answers

Answer: C) 12

Step-by-step explanation:

This problem makes use of Cross Multiplying.

Simply do:

2x*3y=9*8

6xy=9*8

6xy=72

xy=12

Hope it helps <3

Answer: C. 12

Explanation:

9/2x = 3y/8
2x • 3y = 8 x 9
2x • 3y = 72
3y = 72/2x = 36/x
y = 36/x • 1/3
y = 36/3x
y = 12/x

Plug y = 12/x in our equation:

9/2x = 3(12/x)/8
9/2x = 36/x/8
2x • 36/x = 9 x 8 (cross multiply)
36x = 72
x = 72/36 = 2

Plug x = 2 in the same to find y

9/2(2) = 3y/8
9/4 = 3y/8
3y x 4 = 72
3y = 72/4 = 18
y = 18/3 = 6

Find the product of x and y

6 x 2 = 12


Quiero volver a aprender matemáticas Pero Nose de donde empezar Que me recomiendan?

Answers

¡Khan Academy es una excelente manera de comenzar! ¡Empecé a aprender desde allí y es gratis!

Find total surface area of a solid
Cone of
diameter 6cm and

slant
height 5cm Take TT=22/7.​

Answers

HELLO MATE

HERE IS YOUR ANSWER

TSA OF CONE = πr ( l + r )

= 22/7 * 6/2 cm ( 5 cm + 6/2 cm )

= 22/7 * 3 cm ( 5 cm + 3 cm )

= 22/7 * 3 cm * 8 cm

= 528/7 cm²

HOPE IT HELPS.

[tex] <marquee> <font color = green > PLEASE MARK AS BRAINLIEST AND FOLLOW ME .. [/tex]

A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check. 8 children and 32 adults 9 children and 31 adults 10 children and 30 adults 12 children and 28 adults

Answers

Answer:

x=8 number of children

y=32 number of adults

Step-by-step explanation:

x be children and y for adults

x+y=40 ⇒ y=40-x

11x+20y=728 solve by substitution of y=40-x

11x+20(40-x)=728

11x+800-20x=728

-9x=728-800

x=72/9 ⇒ x=8 number of children

y=40-x

y=40-8⇒ y=32 number of adults

The landscape designer has drawn an angle on one side of the yard as wants to draw the same angle on the other side. Describe three ways he can do this

Answers

Answer:

1) by using a protractor

2) by finding a point

3) by extending the line of the angle until it reaches the other side of the field.

Step-by-step explanation:

There are different methods he can use to draw the angle on the other side of the yard, three of which are the following:

1) he can use a protractor to measure the angle he drew. That way he can go to the other side of the field and measure the same angle there. So then he can draw the angle in the new location.

2) He can draw a line on the given angle and find a point that passes through that line. Then he can draw a perpendicular line to the origin of the angle until it reaches the other side of the yard. This perpendicular line will cross the other side of the yard. This point where the line crosses the other side of the yard will be the new origin. With this new origin find the point again and draw a line that goes through the new origin and the new point he found.

3) Depending on the dimensions of the field, he can draw extend the line of the angle in such a way that it reaches the other side of the field. Then the angle will be on the other side. He can then use a square to move it around to where he wants it to be.

THE LANDSCAPER IS PLANTING A TREE THAT IS NOW 55 CM TALL. THE TREE WILL GROW 4 CM PER MONTH FOR X MONTHS. THE TREE WILL GROW TO BE AT MOST Y CM TALL. WRITE AN INEQUALITY SHOWING THIS RELATIONSHIP.

Answers

Answer: 55cm + X*4cm < Y.

Step-by-step explanation:

The initial height of the tree is 55cm

The tree will grow 4cm per month, for X months.

then the height of the tree is the initial height, plus X times 4cm

H = 55cm + X*4cm

If Y is the maximum height that this tree can grow, then we can write the inequality as:

H < Y.

55cm + X*4cm < Y.

3) Simplify:- (i) (45 x 2) ÷ [ 28 – { 14 + 9 } ] (ii) 72 ÷ [ 23 – { 4 + ( 3 x 5 ) }] (iii) 102 + 13 × 8 + 125 ÷ 5 × 10 (iv) 57 ÷ [ { ( 10 + 5) - 3 × 2 } + 10 ]

Answers

Answer:

1. 30

2. 18

3. 460

4. 3

Step-by-step explanation:

According to the hierarchy of operations, we first need to solve {},[] or () (starting by the inner ones). Then the multiplications and divisions and lastly we will add and subtract. Therefore we have:

(i) (45 x 2) ÷ [ 28 – { 14 + 9 } ]

(90) ÷ [ 28 – { 14 + 9 } ] solved the ()

(90) ÷ [ 28 – { 25 } ]  solved the {}

(90) ÷ [ 3 ] solved the  []

30.      

ii) 72 ÷ [ 23 – { 4 + ( 3 x 5 ) }]

72 ÷ [ 23 – { 4 + ( 15 ) }]  solved the ()

72 ÷ [ 23 – {19) ] solved the {}

72 ÷ 4 solved the []

18

(iii) 102 + 13 × 8 + 125 ÷ 5 × 10

102 + 104 + 25 x 10 Solved the first multiplication and division

102 +104 + 250 Solved the multiplication

460  

(iv) 57 ÷ [ { ( 10 + 5) - 3 × 2 } + 10 ]

57 ÷ [ { 15 - 3 × 2 } + 10 ] solved the inner ()

57 ÷ [ { 15 - 6 } + 10 ]  solved the multiplication

57 ÷ [ 9 + 10 ] solved the {}

57 ÷ 19 solved the []

3

Mr. SMITH had 4 daughters, each daughter had a brother ... How many sons does Mr. Smith have?

Answers

He tells us that the 4 daughters have a brother, so, since they belong to the same family, the sisters are the same because they have only one brother.

Answering our question:

or Mr. Smith has 4 daughters and also 1 son.

Answer:

one son

Step-by-step explanation:

each daughter had a brother, means there is only one son

Mr. smith has 1 son

2/3 of 27 equal 25% of a number

Answers

Answer:

The number is 72

Step-by-step explanation:

2/3*27 = 2*9 = 18

so 18 = 25%

25% = 1/4

so 1/4 = 18/?

so ? = 18*4 = 72

Answer:

x=72

Step-by-step explanation:

This is an easy equation.

2/3*27=25/100x

solve.

2/3 * 27 is 18

18=25/100x

Divide. (25/100 can be converted to 1/4

Divide 18 by 1/4x

x=72!

Cheers, I hope you can understand.

If the ratio of boys to girls at the school is 2:5, and there are 40 boys, how many girls are there?

Answers

Answer:

There are 100 girls in the school

Step-by-step explanation:

Let the total number of people be x

To find the number of girls in the class we must first find the total number of people in the class

First find the total parts

That's

2 + 5 = 7

2/7 of the total number of people are boys

So we have

2/7 × x = 40

Multiply through by 7

2x = 280

Divide both sides by 2

x = 140

There are 140 people in the school

Finding the number of girls we have

5/7 × 140

= 100

There are 100 girls in the school

Hope this helps you

What the answer question

Answers

Answer:

Side e = 5.7

Step-by-step explanation:

Given

d = 10

f = 7

<E = 34°

Required

Calculate length of side e

This can be calculated using law of cosine as follows;

e² = d² + f² - 2 * d * f * Cos(<E)

Substitute 10 for d, 7 for f and 34 for <E. This gives

e² = 10² + 7² - 2 * 10 * 7 * cos34

e² = 100 + 49 - 140 * cos34

e² = 100 + 49 - 140 * 0.8290

e² = 100 + 49 - 116.06

e² = 32.94

Take Square Root of both sides

e = √32.94

e = 5.7 (Approximated)

While standing in front of the school

Answers

Answer:

Step-by-step explanation:

what do u see!????????

50. At a booth at the school carnival in past years, they've found that 32% of students win a stuffed toy ($3.25), 10% of students win a jumprope ($1.70), and 8% of students win a t-shirt ($7.80). The remaining students do not win a prize. If 200 students play the game at the booth, how much money should the carnival committee expect to pay for prizes for that booth

Answers

Answer:

The expected amount to be paid by the carnival committee for prices would be $366.80

Step-by-step explanation:

Hello!

Here, we want to calculate the amount of money the carnival committee is expected to pay for the prizes for that booth

From the question, we have 3 categories of prices to be won

To calculate for people that won’t win anything , we simply subtract the percentages of all from 100

That would be 100-32-10-8 = 100-50 = 50%

So now let’s calculate the number of people out of 200 that will win each category based on the percentages

For stuffed toy

32/100 * 200 = 64

Jump rope

10/100 * 200 = 20

For t-shirt

8/100 * 200 = 16

So total price paid for stuffed toy= 3.25 * 64 = $208

For jump rope, we have 1.7 * 20 = $34

For t-shirt , we hav 16 * 7.8 = $124.8

So the total value spent on prices by the committee would be;

124.8 + 34 + 208 = $366.80

It’s timed please help

Answers

Answer:

4 is included in the domain

Step-by-step explanation:

The electromotive force V of an alternating current circuit at time t can be describe by the
following function, where V is volts and t is in seconds. V(t) = 220sin(180πt). How many cycles
will the circuit run through in 1 minute?​

Answers

Answer:

5400 cycles

Step-by-step explanation:

You have the following function:

[tex]V(t)=220sin(180\pi t)[/tex]

where t is in seconds.

In order to find the number of cycles in 1 minute, you first  calculate the frequency of the function, which is given by:

[tex]f=\frac{180\pi}{2\pi}=90s^{-1}[/tex]

The number of cycles is then given by:

[tex]n=ft=(90s^{-1})(60s)=5400\ cycles[/tex]

There are 5400 cycles in 1 minute

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