9. Select all the statements that must be true.

Parallelograms have four congruent sides

Both sets of opposite sides of a parallelogram are parallel and congruent

A trapezoid is a parallelogram

Diagonals of a parallelogram bisect each other

Diagonals of a parallelogram are congruent​

Answer:

Answer: g(x)=. Step-by-step explanation: We are given that: f(x)=x². We have to find g(x). Since, we are given that g(3)=1. Hence, we will ...  ·  g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4 2/3

Multiply the 4 and 3 together to get 12

Then you add the 12 to the 2 to get 14

Therefore, it'll take 14  1/3 cups.

Answer:

5.08 years

Step-by-step explanation:

We are to solve for time using compound interest formulas

For Hailey

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 3/8% = 2.375.

Time = ?

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 2.375/100

r = 0.02375 per year,

Then, solve the equation for t

t = ln(A/P) / r

t = ln(4,000.00/2,000.00) / 0.02375

t = 29.185 years

≈ 29.19 years

For Sophie

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 7/8% = 2.875

Time = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 2.875/100

r = 0.02875 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 0.02875/365)] )

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 7.8767E-5)] )

t = 24.11 years

How much longer would it take for Hailey's money to double than for Sophie's money to double?

For Hailey it takes 29.19 years

For Sophie it takes 24.11 years

We find the difference

= 29.19 - 24.11

= 5.08 years

Therefore, it would take 5.08 years for Hailey's money to double than Sophie

Answer:

5.07 a little late but oh well

Step-by-step explanation:

Answer:

21 hours

Step-by-step explanation:

After 2 hours the temperature has risen to 7°f

The time taken to rise to an additional 13°f can be calculated as follows

1 hour takes 3.5°f

13°f = 3.5×6

= 21 hours

Hence it would take 21 hours

Answer: 65.22%

Step-by-step explanation: 15 is more than half of 23 which means it can’t be the other options because the others aren’t more than half.

65.22 % of teachers ordered the salad bar

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

According to the question

A school cafeteria offers three lunch options on Mondays:

Spaghetti, sub sandwiches, or salad bar.

Percentage of teachers ordered the salad bar

Total number of teachers = 23

Total number of teachers ordered the salad bar = 15

= [tex]\frac{15}{23}[/tex]

= 0.6522

= 65.22%

Thus, 65.22 % of teachers ordered the salad bar

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Answer:

.2(x+1)(x+5)

Step-by-step explanation:

Well first lets start with the x intercepts which are -1 and negative 5 so the equation must be either -0.2(x+1)(x+5) or .2(x+1)(x+5)

Notice how the graph is going upwards this means the number in front of the equation -.2 or .2 must be positive making .2(x+1)(x+5) this is because if .2 was negative the graph would be going downwards

Answer:

Terminal point: (√3/2, 1/2); tan θ = √3/3

Step-by-step explanation:

The terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

θ = π/6

Taking tan on both sides:

tanθ = tanπ/6 = 1/√3 = √3/3

Terminal points:

= (cosπ/6, sinπ/6)

= (√3/2, 1/2)

Thus, the terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.

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Answer:

B. Right angles

Step-by-step explanation:

When perpendicular lines intersect, they create 90° angles (aka right angles)

Answer:

this so hard

Step-by-step explanation:

Answer:

option 2...........…..

part a

The x-intercept

part b

2

The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.

And, The value of slope will be 2.

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

She spends them at a rate of two every minute until she runs out.

Now,

Since, She spends them at a rate of two every minute until she runs out.

And, The number of quarters Mia has is graphed over time.

We know that;

Usually we represent the independent variable (time) by x and dependent variable (quarters) by y.

Hence, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.

So, The slope = 2/1

                       = 2

Thus, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters. And, The value of slope will be 2.

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Answer:

3 + 7 + 2= 12

Step-by-step explanation:

It is made true because the equation adds up to the number. If we take 3+7 it equals to 10. Then we take 10 and add it to 2, which gives us 12.

Hope this helps :)

The value of the missing number x will be 10.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Let the missing number be x. Then the equation can be written as,

3 + 7 + 2 = x + 2

Simplify the equation, then the value of the variable x will be

3 + 7 + 2 = x + 2

3 + 7 + 2 - 2 = x

x = 3 + 7

x = 10

The value of the missing number x will be 10.

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Answer:

f(x) = a(1 + r)x f(x) = 100000(1+0.04)^10 = 148,024 I believe

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

1) substitute a with 2 and b with 5

(3 + 2)^2 * (4-5) + √36

2) solve the brackets and the square root

(5^2) * (-1) + 6

3) solve the power

25 *(-1) + 6

4) solve the multiplication

-25 + 6

5) solve the sum

- 19

Answer:

-19

Step-by-step explanation:

i got the answer right

The expression is a prime polynomial is [tex]x^3 - 27y^6[/tex]

An irreducible polynomial is a polynomial (of degree greater than zero) that cannot be factored into polynomials of lower degrees. The irreducibility property depends on the nature of the coefficients that are accepted for the possible factors, that is, the field or ring to which the coefficients of the polynomial and its possible factors should belong.

In this way we have that:

[tex]x^3 - 27y^6[/tex]

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Answer: 1 is consecutive interior, 2 is corresponding, 3 is alt interior, and 4 is alt exterior

Step-by-step explanation: above

Answer:

area of a square= length ²

area of a rectangle=length*breadth

area of parallelogram=base *height

Answer:

he must score 32 points in the next game in order to average 14 points per game.

Step-by-step explanation:

14 x 6 = 84

84-(13+10+14+9+6)=32

checking:

32 + 13 + 10 + 14 + 9 + 6 = 84

84 divided by 6 = 14

Answer:

65

Step-by-step explanation:

115-180=65 degrees

Answer:

68+47+x= 180

x=180-115

x=65

Answer:

it is the middle one

Step-by-step explanation:

i did it

Answer: 120 Packages

Step-by-step explanation:

Given

75 random packages are check

3 package is found faulty

So, the percentage of error is

[tex]\Rightarrow \dfrac{3}{75}\times 100=4\%[/tex]

i.e. 4% packages is faulty

For 3000 sample, expected faulty packages are

[tex]\Rightarrow 3000\times \dfrac{4}{100}=120\ \text{Packages}[/tex]

Answer:

Since every 30 days  he  wil have both lessons on the same day , and  he already  had both lessons on the last day of the previous month, that means that the day 30  the current month   he  wil have both lessons on the same day (It may be the last day if the month has 30 days or it may not be the last day if the month has 31 days)

Step-by-step explanation:

Lets find the least common factor of 5 and 6

Multiples of 5

5  10  15  20  35  30  35  40......

Multiples of 6

6  12  18  24  30 36  

LCF of 5 and 6 = 30

Every 30 days  he  wil have both lessons on the same day

Answer:

x^5y^5

Step-by-step explanation:

here's your solution

=> if base are same then power get added in multiplication

=> so, x^2 * y^4 * x^3 * y^1

=> x^2 * x^3 * y^4 * y^1

=> x^5*y^5

hope it helps

Answer:

18.6 cm²

Step-by-step explanation:

99/7 + 9/2

= 18.6 cm²

Answer:

i think true hehehehehehehhehehehehe

Answer:

True

Step-by-step explanation:

Some people think a long drought may have occurred. However this information is not proven.

Answer:

Step-by-step explanation:

X=2,-6

Step-by-step explanation:

Suppose the persons are a, b, c, d, e, f and g.

Let us also assume that a and b always sit together.

Let us then put the remaining 5 persons in a circular arrangement. It can be done in (5–1)! = 4! = 24 ways. Now, the pair (a,b) can be placed between any two persons already placed in circular order. There are 5 such gaps. Finally the pair (a,b) can be placed in two ways viz. (a,b) and (b,a).

So, total number of ways a group of 7 persons can be seated around a circular table where 2 specified persons always sit together is 24 X 2 X 5 = 240

y=2x+23

2x is the for the number of people added every month and 23 is for the number you start with

The equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

In slope-intercept form, an equation of a line is represented as y = mx + b, where m is the slope (or rate of change) and b is the y-intercept (or the point at which the line crosses the y-axis).

Let's represent x is the number of months and y is the number of members.

The number of members y in x months is a linear function of the number of months, with a slope of 2 (the number of members added per month) and a y-intercept of 23 (the number of members at the beginning).

Thus, the equation in slope-intercept form to represent the number of members y in x months is : y = 2x + 23

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Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is [tex]100\%-20\%-20\%=60\%[/tex] of the total distance from home to school.

[tex]1200=\dfrac{60}{100}x[/tex]

[tex]1200=0.6x[/tex]

[tex]\dfrac{1200}{0.6}=x[/tex]

[tex]2000=x[/tex]

Therefore, the distance from home to school is 2000  metres.

How far, in metres, is it from my home to my school is 2,000 metres.

First step is to formulate

1200/(1-2×20%)

Second step is to find how far in metres

Distance=1200/(1-0.4)

Distance=1200/0.6

Distance=2,000

Inconclusion how far, in metres, is it from my home to my school is 2,000 metres.

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Answer:

x= 1

Step-by-step explanation:

sinceΔABC =ΔDEF

Therefore

4x-1 will be equal to x+2

then x = 1