What’s the length of AZ. If A is between Y and Z, Y A = 22, AZ = 16x, and Y Z = 166

A) 9
B) 22
C) 144
D)188

Answer:

The sides are 62, 69, and 49

Step-by-step explanation:

x + (x + 7) + (x - 13) = 180

3x - 6 = 180

3x = 186

x = 62

Step-by-step explanation:

complementary means together they are 90°.

x = 3y - 6

x + y = 90

(3y - 6) + y = 90

4y - 6 = 90

4y = 96

y (the smaller angle) = 24°

x (the larger angle) = 3y - 6 = 3×24 - 6 = 72 - 6 = 66°

The maximum number of point of intersection of a line and circle is two

Circle:

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre. The following is the circle formula in the plane:

[tex](x-x1)^{2} +(y-y1)^{2} =r^{2}[/tex] Here,(x1,y1) are the centre of circle and r is the radius of circle.

Line:

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

Line and Circle can intersect at two points maximum

Therefore,The maximum number of point of intersection of a line and circle is two

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The number of cats the nemesis have is 4

A fraction is defined as the part of a whole.

Types of fractions;

From the information given, we have that the Nemesis number of cats is ' Five-sixths of my cats plus three

This is expressed as;

Number of cats =  1 - 5/ 6 + 3

Number of cats = 1/ 6 + 3

Number of cats = 6 + 18 /6

Number of cats = 24/6 = 4

Thus, the number of cats the nemesis have is 4

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Answer:

5.4 lbs

Step-by-step explanation:

5.94 / 1.10 = 5.4

hope this helps! <3

The left over sand is a 3/10 bag of the colored sand.

According to the statement

We have to find that the how much sand does she use for the project.

So, For this purpose, we know that the

Left over is a something that remains unused or unconsumed

From the given information:

amber has a 4/5 pound bag of colored sand she use 1/2 of the bag for an art project

then it means

Total sand is = 4/5 pound bag of colored sand

Used sand is = 1/2 of the bag of colored sand

Then

Left over sand is = Total sand - Used sand

Left over sand is = 4/5 - 1/2

Left over sand is = 8 - 5/10

Left over sand is = 3/10.

So, The left over sand is a 3/10 bag of the colored sand.

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Answer:

57.3

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}[/tex]

[tex]\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}[/tex]

[tex]\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}[/tex]

[tex]\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}[/tex]

[tex]\mathsf{=\dfrac{32\times43}{3\times 8}}[/tex]

[tex]\mathsf{= \dfrac{172}{3}}[/tex]

[tex]\mathsf{= 57\dfrac{1}{3}}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

DETERMINE COMMON FACTORS

Step-by-step explanation:

The total amount of each ingredient are as follows;

Pears = 1/2 pound

Grapes = 3/8 pounds

Pineapple = 3/4 pounds

Oranges = 3/8 pounds

We are given the amounts of fruits as;

4 pounds of pears

3 pounds of grapes

6 pounds of pineapple

3 pounds of oranges

Now, total pounds of fruits = 4 + 3 + 6 + 3 = 16 fruits

Ratio of pears = 4/16 = 1/4

Ratio of grapes = 3/16

Ratio of pineapple = 6/16 = 3/8

Ratio of oranges = 3/16

Thus. amount of each ingredient required are;

Pears = 1/4 * 2 = 1/2 pound

Grapes = 3/16 * 2 = 3/8 pounds

Pineapple = 3/8 * 2 = 3/4 pounds

Oranges = 3/16 * 2 = 3/8 pounds

Thus, the total amount of each ingredient are as follows;

Pears = 1/4 * 2 = 1/2 pound

Grapes = 3/16 * 2 = 3/8 pounds

Pineapple = 3/8 * 2 = 3/4 pounds

Oranges = 3/16 * 2 = 3/8 pounds

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Answer:

  288 miles

Step-by-step explanation:

Kevin's trip took 9 hours one way, and 4 hours the other way, driving 40 mph faster. You want to know the one-way length of Kevin's trip to the mountains.

The relation between time, speed, and distance is ...

  speed = distance/time

Using d to represent the one-way distance Kevin drove, we can relate his speeds with ...

  d/4 = 40 +d/9 . . . . . . speed coming home was 40 mph more than going

Multiplying by 36 to clear fractions, we have ...

  9d = 1440 +4d

  5d = 1440 . . . . . . . subtract 4d

  d = 288 . . . . . . . divide by 5

Kevin lived 288 miles from the mountains.

Answer: -8w+2v+2

Step-by-step explanation:

The elements of the given set A' ∩(B ∪ C') = {1, 3, 7. 9}

From the question, we are find the given set

The given set is

A' ∩(B ∪ C')

From the given information,

U = {1, 2, 3, ... , 9}

A = {4, 5, 6, 8}

B = {1, 3, 4}

C = {1, 2, 3, 4, 5}

First, we will determine A' and C'

A' = {1, 2, 3, 7, 9}

C' = {6, 7, 8, 9}

Now, we will find

B ∪ C' = {1, 3, 4, 6, 7, 8, 9}

Then,

A' ∩(B ∪ C') = {1, 3, 7, 9}

Hence, the elements of the set A' ∩(B ∪ C') = {1, 3, 7. 9}

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The coordinates of the image of the reflection of the parallelogram, HIJK, over the y-axis are;

H'(1, 3), I'(1, - 1), J'( -2, -2), K'( -2, 2)

The reflection of a pre-image, (x, y), over the y-axis gives an image at the point (-x, y), on the coordinate plane.

The given vertices of the parallelogram HIJK are;

H(-1, 3), I(-1, -1), J(2, -2), and K(2, 2)

The coordinates of the image are therefore;

[tex]H(-1, 3) \: \underrightarrow{ R_{ y-axis}} \: H ' (1, 3)[/tex]

[tex] I (-1, - 1) \: \underrightarrow{ R_{ y-axis}} \: I ' (1, - 1)[/tex]

[tex] J (2, -2) \: \underrightarrow{ R_{ y-axis}} \: J'( -2, -2)[/tex]

[tex] K (2, 2) \: \underrightarrow{ R_{ y-axis}} \: K'( -2, 2)[/tex]

The coordinates of the image, H'I'J'K' are therefore;

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The answer would be 3f.

Answer:

Step-by-step explanation: bnnnnnnnnnnnnnnm

The value of AB that is 5x is equal to 30.

It is given that the points A, B and C are collinear. Collinear points may be defined as three or more points which lie on a straight line.

Here B lies between A and C and the three points A, B and C are collinear. Thus, according to property of collinear points:

AB+BC=AC

Now, according to question AB=5x, BC= 4x+12 and AC= 10x+6.

So, 5x+4x+12=10x+6

Taking the like terms on one side;

12-6 = 10x+9x

=> x=6

Now, AB=5x, thus AB= 5×5=30

Therefore, the value of AB is 30.

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Complete question:

Three points A, B and C are collinear. Point B is between points A and C. AC=10x+6, AB=5x, and BC=4x+12, Find AB.

The speed of the fox should be 35/t + 40 to catch up to the rabbit.

Speed is the ratio of distance and time.

Speed = Distance / Time

We have,

The distance between the rabbit and fox = 35 feets

The rabbit's speed = 40 feet per second

Let fox's speed = F

Let the time taken to catch up to the rabbit = t

Now,

Rabbit's distance from fox after time t will be:

= 35 + (40 × t)

= 35 + 40t

Fox's distance after time t:

= F × t

Fox and rabbit distance must be the same in order for the fox to catch up with the rabbit.

35+40t = Ft

Dividing both sides by t.

35/t + 40 = F

Therefore the fox's speed must be 35/t + 40 in order to catch up with the rabbit.

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Answer:

Step-by-step explanation:

Find the area of the figure. (Sides meet at right angles.)

1 rettangle on a square

Area Rectangle

(2+2+5)*5=

9*5=

45in²

Area of the Square

5*5=

25in²

sum

45+25=

70in²

The fraction of the bag that are red and yellow are  [tex]\frac{17}{30}[/tex].

To calculate the total fraction of red and yellow candies in the bag of skittles we add the two fractions together.

To add the two fractions together but first rewrite the fractions with a common denominator;

[tex]\frac{4}{15} =\frac{8}{30}[/tex]

[tex]\frac{3}{10} =\frac{9}{30}[/tex]

[tex]\therefore\frac{8}{30} +\frac{9}{30} \\\\=\frac{17}{30}[/tex]

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Answer:

15. x<-2 or x>1

16. -5<=x<=-1

17. -0.5<=x<0.25

18. x<=-1.2 or x>=-0.4

Step-by-step explanation:

Answer:

x = 2.4

Step-by-step explanation:

see image for explanation.

Hope it helps

8 + x / 3 = 75

Minus 8 on both sides

x / 3 = 67

Multiply by 3 on both sides.

x = 201

Step-by-step explanation:

it seems there is some trick question involved.

we find such answers by putting a horizontal line through the y points and see, where the horizontal line is intersecting the function graph and go straight down to the x-axis to see the value of x for that y value.

the horizontal line through y = -1.5 does not intersect at all.

so, in one hand the answer is "no solution".

but on the other hand, we could assume that the function graph continues further to the right (and down).

and then the intersection point would be

(7.5, -1.5),

and the corresponding x = 7.5.

for y = 0 the horizontal line is the x-axis itself. so, for what values of x does the x-axis intersect the function curve ?

at x = -3, and at x = 6.

for y = 2 the corresponding horizontal line is intersecting the function curve at

x = -2.125 (it looks like it is at the half of the half of the half unit as the grid unit left of -2, so it is -2 - 1/2³ = -2 1/8 = -2.125)

x = 0.5

x = 4 (it just touches the tip of the curve there)

for y = 2.5 there is truly no solution. that horizontal line does not intersect the function curve at any point.

Answer:

12

Step-by-step explanation:

Answer: 13 cm x 9cm is the correct answer:)

Answer:

14 dollars

Step-by-step explanation:

182 divided by 13 is 14 dollars

may starclan light ur path

1. If payments are made at the end of each period, the amount of money that will be in the account in 18 months (future value) is $2,094.46.

2. The total interest that Karl earned will be $294.46.

3. Total amount: $2,094.46

Interest earned = $294.46

The future value is the future cash deposits compounded at an interest rate for a period.

The future value can be computed using the future value table or future value formula.  It can also be computed using an online finance calculator.

N (# of periods) = 18 months

I/Y (Interest per year) = 21% (or 1.75% monthly)

PV (Present Value) = $0

PMT (Periodic Payment) = $100

Results:

Future Value (FV) = $2,094.46

Sum of all periodic payments = $1,800 ($100 x 18)

Total Interest = $294.46

Thus, the total future amount in the account will be $2,094.46 with an interest of $294.46.

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Another form of the given expression using associative property is 10y + (-3y -6y)

Associative property shows that if two or more property are added or multiplied, the result remains the same. For instance;

a +(b + c) = (a+b) + c

Given the expression below;

-3y - 6y + 10y

Group to have

(-3y - 6y) + 10y

10y - 3y - 6y

This can also be grouped as;

(10y - 3y) - 6y = 10y + (-3y -6y)

Hence another form of the given expression using associative property is 10y + (-3y -6y)

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