Find the length of CD shown in red below. Show all work.

Answer:

A

Step-by-step explanation:

an arithmetic sequence is a sequence that is increasing or decreasing by a constant number (addition)

The ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.

For two triangles to be similar, the ratio of the measure of similar sides of the triangle must be equal to a constant known as a scale factor.

From the given figures, the expression that can be used to prove that the triangles are similar is as shown;

UV/ZY = WU/ZX = WV/XY

Hence the correct option is to show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.

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The number, which on divided by 7 gives a quotient of 247 and a remainder of 3 is 1732. Computed using linear equations.

In the question, we are informed that a number when divided by 7, gives a quotient of 247 and a remainder of 3.

Assuming the number to be x.

We can say that x is our dividend, 7 is the divisor, 247 is the quotient, and 3 is the remainder.

The division algorithm equation is:

Dividend = Divisor*Quotient + Remainder,

Substituting values in this equation, we get a linear equation:

x = 7*247 + 3.

To solve for the unknown number x, we solve the equation as follows:

x = 7*247 + 3,

or, x = 1729 + 3,

or, x = 1732.

Thus, the number, which on divided by 7 gives a quotient of 247 and a remainder of 3 is 1732. Computed using linear equations.

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Using the given information, length of QR = 16.6 cm

The area of the trapezium is 304.5 cm²

From the question we are to calculate the length of QR and the area of trapezium PQRS

In the given diagram,

Let the midpoint of PS be T

Then, we can write that

|OP|² = |OT|² + |PT|²  (Pythagorean theorem)

|OP| = radius = 13 cm

|PT| = 1/2 × PS = 1/2 × 24 cm = 12 cm

∴ 13² = |OT|² + 12²

169 = |OT|² + 144

|OT|² = 169 -144

|OT|² = 25

|OT| = √25

|OT| = 5 cm

Also, let the midpoint of QR be U

Then, we can write that

|OQ|² = |OU|² + |QU|² (Pythagorean theorem)

|OQ| = radius = 13 cm

From the given information,

The distance of QR from O is twice the distance of PS from O

∴ |OU| = 2 × |OT|= 2 × 5 cm = 10cm

Thus,

13² = ||² + 12²

169 = 10² + |QU|²

|QU|² = 169 -100

|QU|² = 69

|QU| = √69

|QU| = 8.3 cm

Now,

Length of QR = 2 × |QU| = 2 × 8.3 cm

Length of QR = 16.6 cm

b)

Area of the trapezium = 1/2(|QR| + |PS|) × |TU|

Area of the trapezium = 1/2(16.6 + 24) × 15

NOTE: |TU| = |OT| + |OU|

Area of the trapezium = 1/2(40.6) × 15

Area of the trapezium = 20.3 × 15

Area of the trapezium = 304.5 cm²

Hence, the area of the trapezium is 304.5 cm²

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Answer:

For question 3, the slope would be -5

Step-by-step explanation:

If you wanted to graph this you would have to plot one of the points that is already given. Then from that point, you would move 5 units down and 1 unit to the right. If you run out of space, you can go to the other direction by going 5 units up and 1 to the left.

Hope this helps :)

Answer:

true

2. If ab = 0, then a = 0 or b = 0. This statement is true. It is a property of the real numbers which was stated in class

Jun Wei has a total of 40 coins. An algebraic expression or equation with the given information is formed to calculate the total number of coins.

An algebraic expression is the combination of one or more variables, coefficients, and constants separated by operators. Each of them is called terms of the expression.

Eg: a + 6x + 5y + 2

Here there are 4 terms with 3 variables, 3 coefficients, and one constant.

Given that,

Jun Wei has 12 more 10 cents coins than 20 cents coins.

So,

Consider the number of 20-cent coins = x

Then, the number of 10 cent coins = x + 12

It is given that the total value of all the coins is $5.40.

Where 1 $ = 100 cents. That implies, $5.40 = 540 cents

So,

the total value of the coins = 540 cents

⇒ 20(x) + 10(x + 12) = 540

⇒ 30x = 540 - 120

⇒ 30x = 420

∴ x = 40

Hence, there are 40 coins with Jun Wei.

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Answer:

ok so this might look confusing what you have to do is just ignore part of the problem in this one just ignore apples, blueberries and zucchini their not important

on saturday it looks like he sold 14 pounds on sunday 15 pounds

14+15=29

and each pound is 3.50 so

29*3.5= 29*3+29*0.5

29*3=87

29*0.5=14.5

87+14.5=101.5

c

Hope This Helps!!!

Answer:

26. y= 3/1 x + c

27. m = 1 so eqn will be y = 1x + c

Step-by-step explanation:

find the slope if not given and then use the eqn,

y= mx + c

where m is slope and c is y intercept

7 lbs 8 oz more weight can the trolley hold the trolley can hold 20 lbs of groceries and Annie put 12 lbs 8 oz of groceries on the trolley. This can be obtained by converting the values to oz and subtracting them.

We know that, 1 lbs = 16 oz

Capacity of the trolley = 20 lbs

                                     = 20 × 16 oz

                                     = 320 oz

Weight put in the trolley = 12 lbs 8 oz

                                        = ( 12 × 16 ) + 8 oz  

                                        = 192+8 oz

                                        = 200 oz

Remaining weight that the trolley can hold = 320 oz - 200 oz

                                                                       = 120 oz

                                                                       = (7 × 16) + 8 oz

                                                                       = 7 lbs 8 oz

Hence 7 lbs 8 oz more weight can the trolley hold the trolley can hold 20 lbs of groceries and Annie put 12 lbs 8 oz of groceries on the trolley.

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Answer:

6/8 is an equivalent fraction of 3/4.

We can find some other equivalent fractions by multiplying the numerator and the denominator of the given fraction by the same number. Thus, the equivalent fractions of 3/4 are 6/8, 9/12, 12/16, and 15/20.

Answer:

below

Step-by-step explanation:

6/8 = 3/4, 9/12, 12/16 and 15/20

Answer: f(2)=g(2)

Step-by-step explanation:

The graphs intersect at x=2.

The correct statement which is true regarding the functions on the graph is,

f (2) = g (2)

We have to given that,

Graph of functions f (x) and g (x) are shown in figure.

Now, From the graph,

At x = 2;

f (2) = 0

And, At x = 2;

g (2) = 0

Therefore, At x = 2,

f (2) = g (2) = 0

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Answer:

  (c)  y < x^2 -5x

Step-by-step explanation:

A quadratic inequality is one that involves a quadratic polynomial.

The degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a quadratic.

For the following inequalities, the degree of the polynomial in x is shown:

We see that the degree of the polynomial in x is 2 in ...

   y < x^2 -5x

so that is the quadratic inequality you're looking for.

__

Additional comment

When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.

In the given diagram, the value of y is 53°

From the question, we are to determine the value of y

The angle subtended by the arc is 74°. This is the angle the arc subtends at the center of the circle.

Then,

74° + y + y = 180° (Sum of angles in a triangle)

74° + 2y = 180°

2y = 180° - 74°

2y = 106°

y = 106°/2

y = 53°

Hence, the value of y is 53°

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Answer:

A. 13 < X < 14

Step-by-step explanation:

Because x is square rooted, that means the other values inside the equation will also be square rooted. If we square root 169, that would be 13 & since there is only one option with 13, the answer will be A.

Answer:

65°

Step-by-step explanation:

The sum of the internal angles of a triangle is 180°

40° + 75° + b° = 180°

115° + b° = 180°

b° = 180° - 115°

b° = 65

Answer:

1.6sides

Step-by-step explanation:

Sum of total exterior angle/One exterior angle

360/225=1.6sides

The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.

Based on the fact that this is a reflection, the angles would be equal measures.

What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.

The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.

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Answer:

The measures of the interior angles of polygon ABCD are equal to the measures of the corresponding angles in the reflected image. This means that angle measurements of the polygon are preserved as the image is reflected. The same is true for the side lengths. The measures of both angles and sides are preserved in a reflection. A reflection is a rigid transformation.

Step-by-step explanation:

Edmentum sample answer

It would be take upto 999 revolutions.

Let try to solve it,

Let n represent number of revolutions.

We are asked to find the number of revolutions it will take for a car wheel of diameter 30 in. to travel a distance of one mile.

1 mile = 63360 inches.

We will use circumference of circle formula to solve our given problem.

Circumference = pi*d , where, D represents diameter of circle.

Now, we will set the product of n and circumference of circle equal to 63360 inches as:

pi*22*n= 63360

n= 63360*7/ 22*22

n= 443520/444

n= 998.91

Therefore It would be take upto 999 revolutions.

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Answer:

24

Step-by-step explanation:

If x were to be 2, then we need to substitute the 2 in for x

So, it would be 6(2)^2

2 times 2 is 4 and 4 times 6 is 24

Hope this helped! :)

Answer: tan x

Step-by-step explanation: An angle determines if a side is opposite the angle, or adjacent the angle. Since p/a is something to do with the tangent, as it is not using the hypotenuse (the longest side.) Tangent is Opposite/Adjacent, while Sine is Opposite/Hypotenuse and Cosine is Adjacent/Hypotenuse. The only thing that makes sense is tangent.

So, that leaves us with either tan y or tan x. Well, with x, the angle that x points to (which is the opposite side) is p, and the adjacent is a, so p/a must be Tangent(x) since it is Opposite/Adjacent sides.

Only if it was r/p would it be tan y, since r becomes the opposite and p becomes the adjacent.

Answer:

64/7

Step-by-step explanation:

Each term is multiplied by -4 (a number not a fraction as the denominator stays the same each time).

[tex]\frac{-16}{7} *\frac{-4}{1}= \frac{64}{7}[/tex]

Answer

64/7

Step-by-step explanation:

Khan <3

Answer:

C

Step-by-step explanation:

please mark brainliest

Answer:

the 3rd answer option

Step-by-step explanation:

why ?

similar to the other questions.

we know the total number of coins, which is a sum of quarters and dimes. nothing else is in there.

so,

16 = q + d

and each type of coin has a defined value : a quarter is $0.25, a fine is $0.10.

and so, when you add up the value of all quarters and all dimes you get $3.10.

Answer:

Step-by-step explanation:

I assume you are talking about square roots when you say root...

Sqrt(-9) = 3i

Sqrt(-12) = 2Sqrt(3)i

Complex number is 3 + 2Sqrt(3) i

Hello and Welcome to Brainly!

Let's take this problem step-by-step:

The problem wants the final answer to be in the form ⇒ y = mx + b

Let's find both of these values first

            (x₁,y₁), (x₂,y₂) are any two points on the line

                 ⇒ let's use (-4,0) and (0,-4)

                      [tex]Slope = \frac{-4-0}{0--4} =\frac{-4}{4} =-1[/tex]

           ⇒, therefore, the y-intercept is -4

Our equation as of now: y __ -x - 4

Now let's use some points to test:

  ⇒ what way inequality should face:

       [tex]0 _._._. -(0) - 4\\0 _._._. -4\\0 \geq -4[/tex]

Therefore our equation is [tex]y\geq -x-4[/tex]

  * we use '≤' since the line is solid

        ⇒ if the line were dotted, we would use '>'

Answer: y ≥ -x - 4

Hope that helps!

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Answer:

y ≥ -x − 4.

Step-by-step explanation:

Effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.

Therefore, the effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.

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Answer:

578 sq ft

Step-by-step explanation:

he length of a rectangular garden is twice its width and its area is 578 square feet.