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3 years ago

BD and AC are chords that intersect at point Y.

Mathematics

2 answers:

butalik [34]3 years ago

7 0

Answer:

c 4

Step-by-step explanation:

test on edg

Sindrei [870]3 years ago

6 0

Answer:

4 units

Step-by-step explanation:

The complete question is

BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?

The picture of the question in the attached figure

we know that

The Intersecting Chord Theorem states that: When two chords intersect each other inside a circle,the products of their segments are equal.

In this problem

$(BY)(YD)=(AY)(YC)$

substitute the given values

$(3)(8)=(x)(6)$

solve for x

$24=6x\\x=24/6\\x=4\ units$

therefore

The length of segment AY is 4 units

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-(-5 -6x( = 4(5x + 3)

rjkz [21]

Answer: The answer to this question is x=-1/2

Step-by-step explanation: Multiply the left hand side by - and the right hand side by 4 in order to remove the brackets. After removing the brackets we get: 5+6x=20x+12.

Then we add the like terms.

5-12=20x-6×

-7=14x

x=-1/2

3 0

3 years ago

Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

Verify if the polygon is a square

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

The triangle BDA is a right triangle

therefore

The polygon is a square

Find the Area of the polygon

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

Find the perimeter of the polygon

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

3 years ago

Which measurement is equal to 20 cups? 40 pints 320 fluid ounces 5quarts 1gallon?

Marina CMI [18]

20 Cups = 160 Fluid Ounces
20 cup = 10 pint US, liquid
20 cup = 5 quart US, liquid

6 0

3 years ago

Maren is buying carpet for her rectangular living room. The room is 4.8 yards wide and 5.2 yards long. How much carpet does she

nataly862011 [7]

Answer:

A = 24.96 yd^2

Step-by-step explanation:

We need to find the area of the room

Area is length times width

A = lw

We know the length is 5.2 yds and the width is 4.8

A = 5.2 * 4.8

A = 24.96 yd^2

8 0

3 years ago

Read 2 more answers

Alex restaurant bill is $58 and he wants to leave a 20% tip which expression of the total armor that Alex needs to

Liono4ka [1.6K]

The total amount he should pay is $69.6

20% of 58 is 11.6

11.6+58=69.6

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3 years ago