I need helpp!! match the building block of geometry to the statement that defines it.

1)DIAGRAM

A)a formal statement declaring the meaning of
a word

2)DEFINITION

B)a visual tool representing mathematical
ideas to be interpreted

3)THEOREM

C)a mathematical statement proven using
postulates and definitions

4)POSTULATE

D)a mathematical statement taken as a fact

Answer:

third option

Step-by-step explanation:

In a linear relationship, the y variable is the dependent variable (meaning that it depends on the independent variable) and the x variable is the independent variable. Basically, y depends on x, and since in this case, by looking at the graph, we know that y is the total price and x is the number of pounds of tomatoes, the answer is the total price depends on the number of pounds.

Answer:

f(x) = 8

Step-by-step explanation:

Como x = 2, simplemente lo sustituiría por x en la función y sumaría.

f(x) = 2+6

f(x) = 8

Answer: D

Step-by-step explanation:

If segment D moves downward it means its function has a negative slope so the line will be  decreasing.  

Answer:

D

Step-by-step explanation:

Obviously just because the slope is going down hence decreasing. \

Hope this helps! :)

Answer:

10

Step-by-step explanation:

the distance is given by

[tex] \sqrt{ {(2 - ( - 6))}^{2} + {(10 - 4)}^{2} } [/tex]

=

[tex] \sqrt{100} [/tex]

= 10

Answer:

1) Please find attached the box and whiskers chart created with Excel

2) The conclusions are;

a) The measure of central tendency (the mean and the median) are approximately equal,

b) The standard deviation for the first five data points is 14.17 while the standard deviation for the whole ten data points is 23.99 as such the data values appeared more clustered at the center and show wider spread towards right ends of the chart

Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed

Step-by-step explanation:

The given data is as follows;

1,    2,    3,    4,   5,    6,    7,    8,    9,    10

15, 18,   22,  32, 50, 50,  55, 56,  81,    81

The first quartile Q₁ = 22

The second quartile, Q₂ (Median) = 50

The third quartile, Q₃ = 56

The interquartile range IQR = 56 - 22 = 34

The minimum value = 15

The maximum value = 81

The mean = 46

The standard deviation = 23.99

Therefore, the measure of central tendency (the mean and the median) are approximately equal,

The data values appeared more clustered at the center and show wider spread towards the left and right ends of the chart

The standard deviation for the first five data points is 14.17 while the standard deviation for the last five data points is

Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed.

All sides are equal in an equilateral triangle and the perpendicular bisects the side too.

so BC will be bisected and the segments be 5 each.

you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.

[tex] 5^2+h^2=10^2[/tex]

$h^2=100-25=75$

$h=\sqrt{75}=5\sqrt3$

Answer:

[tex]\frac{14}{55}[/tex]

Step-by-step explanation:

note that

n! = n(n - 1)(n - 2) .... × 3 × 2 × 1

Given

[tex]\frac{8!9!}{5!12!}[/tex]

Cancel the terms from 8! ( 5 × 4 × 3 × 2 × 1 ) with the same terms from

5! ( 5 × 4 × 3 × 2 × 1 ) leaving

8 × 7 × 6 = 336 on the numerator

Similarly

Cancel the terms from 9! and 12!

leaving 12 × 11 × 10 = 1320 on the denominator, thus simplifies to

[tex]\frac{336}{1320}[/tex]

= [tex]\frac{14}{55}[/tex]

Answer:

9 hours

11 hours

19 hours

Step-by-step explanation:

The graph represents the percentage of battery life remaining after a certain number of hours is attached below.

At which times could Rory's phone have been plugged into the charger? Select three options.

6 hours

9 hours

11 hours

14 hours

19 hours

Answer: From the graph, the line segment with negative slope (that is decreasing value) shows that the phone is not plugged but being used while the line segment with positive slope (increasing value) or stays at 100% shows that the phone is plugged to the charger.

As shown, from 0 to 8 hours their is a decreasing value, the phone is not plugged. From 8 to 10 hours their is an increasing value therefore the phone is plugged also from 10 to 12 hours the phone is plugged since it is constant. From 12 to 16 hours it is not plugged. From 16 to 18 hours it is plugged and from 18 to 20 hours it is plugged.

From the options it is plugged at 9 hours, 11 hours and 19 hours

Answer:

B - 9 HOURS

C - 11 HOURS

E - 19 BHOURS

Step-by-step explanation:

i took the test

6 cm from what im seeing

Answer: 7 cm

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

-14 = x - 12

-14 + 12 = x

-2 = x

check:

-14 = -2 - 12

Answer:

35

Step-by-step explanation:

it's the same value each side

Answer:

M (-3, -5/2)

N (3, -1)

Step-by-step explanation:

Solve the first equation for x.

4y = x − 7

x = 4y + 7

Substitute into the second equation.

x² + xy = 4 + 2y²

(4y + 7)² + (4y + 7)y = 4 + 2y²

Simplify.

16y² + 56y + 49 + 4y² + 7y = 4 + 2y²

18y² + 63y + 45 = 0

2y² + 7y + 5 = 0

Factor.

(y + 1) (2y + 5) = 0

y = -1 or -5/2

Plug back into the first equation to find x.

x = 4(-1) + 7 = 3

x = 4(-5/2) + 7 = -3

M (-3, -5/2)

N (3, -1)

Answer:5.173973328

Step-by-step explanation:

Answer: 17 hours

Step-by-step explanation:

Given that On each of the last 2 days, he worked 2 hours more than the mean number of hours he worked per day during the first 8 days. That is he worked additional 4 hours for the two days.

Let the total hours for the 8 days = E

The mean = E/8 = 0.125E

For the two last days, he worked

( 0.125E + 2 ) × 2 = 0.25E + 4

If he worked 69 hours in all, then

E + 0.25E + 4 = 69

Collect the like terms

1.25E = 69 - 4

1.25E = 65

E = 65/1.25

E = 52.

Now find the mean of the first 8 days

Mean = 52 / 8 = 6.5 hours

Nam works during the last 2 days together for:

(6.5 + 2)×2

8.5 × 2 = 17 hours

Answer:

28 degrees

Step-by-step explanation:

there is a square in the corner which means it is a right angle, 90 degrees.

90-62=28

Answer:

28 deggrees

Step-by-step explanation

Answer:

he was 32

Step-by-step explanation:

8x5 is 40 because he was born 8 years ago you subtract 8 from 40 to get 32

The length of the side can be both 5 and 9.

An Isosceles Triangle is a triangle that has two equal sides.

The length of the sides of an isosceles triangle is given as 5 and 9

To determine the third side, the property of Triangle Inequality will be used

According to the property, the sum of any pair of a triangle’s sides is always greater than the third side.

If the third side is 5 then

5+5 > 9

10 >9

true

if the third side is 9 then

5+9 > 9

14>9

Therefore, the length of the side can be both 5 and 9.

To know more about Isosceles Triangle

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Answer:

-3 and infinity

Step-by-step explanation:

Answer:

(a) and (a)

Step-by-step explanation:

In both questions the denominator of the rational functions cannot be zero as this would make them undefined. Equating the denominators to zero and solving gives the values that x cannot be.

Given

[tex]\frac{x-3}{(3-x)(2+x)}[/tex]

solve (3 - x)(2 + x) = 0

Equate each factor to zero and solve for x

3 - x = 0 ⇒ x = 3

2 + x = 0 ⇒ x = - 2

x = 3 and x = - 2 are excluded values → (a)

------------------------------------------------------------------------

Given

[tex]\frac{-9x+3}{6x^2+10x-4}[/tex]

solve

6x² + 10x - 4 = 0 ← in standard form

(x+ 2)(6x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

6x - 2 = 0 ⇒ 6x = 2 ⇒ x = [tex]\frac{1}{3}[/tex]

x = [tex]\frac{1}{3}[/tex] and x = - 2 are excluded values → (a)

Answer:

Brainleist!

Step-by-step explanation:

This is the equation I'm solveingg [tex]3^{2(107)}[/tex]

if so...

here

3^214

or

1.2704234747596538696295415610762e+102

Answer:

third option

Step-by-step explanation:

∠ E = 180° - (65 + 53)° = 180° - 118° = 62°, then

∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° , thus

Δ ABC ~ Δ FDE by the AA postulate

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AB}{FD}[/tex] , substitute values

[tex]\frac{x}{z}[/tex] = [tex]\frac{w}{r}[/tex] ( multiply both sides by z )

x = z × [tex]\frac{w}{r}[/tex]

The expression to solve for x would be x = r × w/z Therefore, the correct option is 3.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Since,

∠ E = 180° - (65 + 53)°

= 180° - 118° = 62°,

then

∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° ,

Thus, Δ ABC ~ Δ FDE are congruent by the AA postulate.

Since the triangles are similar then the ratios of corresponding sides are equal so,

BC / DF = AB / ED

Substitute;

x / r = w/ z ( multiply both sides by z )

x = r × w/z

Therefore, the correct option is 3.

Learn more about congruent triangles;

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Answer: 4/15

Step-by-step explanation:

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

Number sentence: [tex]30x^{2}[/tex] = [tex]8x[/tex]

You can start by applying algebra to the left side of the equation by dividing each side by x. This should be how it looks now: 30x = 8

Now divide each side by 30 to keep reducing it: [tex]x = \frac{8}{30}[/tex]

Now that we have [tex]\frac{8}{30}[/tex], we can reduce that by dividing the top and bottom by 2:

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

Therefore, the number is [tex]\frac{4}{15}[/tex].

Answer: 0.29 or 29%

Step-by-step explanation:

Given :

Probability that the athletes are football players : P(football ) = 0.28

Probability that the athletes are basketball players : P(basketball) = 0.25

Probability that the athletes play both football and basketball: P( both football and basketball ) = 0.24

Now, using formula

P(either  football or basketball)= P(football )+ P(basketball+ P( both football and basketball )

⇒P(either  football or basketball)= 0.28+0.25-0.24 = 0.29

Hence, the probability that they are either a football player or a basketball player = 0.29 .

Answer:

f(x) = 8(1/2)^x.

Step-by-step explanation:

According to the graph, there is a point at (0, 8) and (1, 4).

That means that when x = 0, y = 8.

8 = a(b)^0

1a = 8

a = 8

That means that a = 8, and when x = 1, y = 4.

4 = 8(b)^1

4 = 8b

8b = 4

b = 4/8

b = 1/2

So, f(x) = 8(1/2)^x.

Hope this helps!

Answer:

7/12 is a rational

Step-by-step explanation:

because it is containing a quantity which are expressible

Answer:

b. they have the same sides but different angles

Step-by-step explanation:

this answer makes the most sense

Answer:

C they have the same ratios for the sides

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

Answer:

Group A has less variability in the data.

Step-by-step explanation:

Examining the data for both groups virtually as represented on the dot plot, we can easily tell that the data in group A are less spread compared to group B data.

Group A has a range value of 10 (14 - 4), while group B has a range value of 19 (26 - 7).

Therefore, "Group A has less variability in the data."

Answer:

[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex]

Step-by-step explanation:

A geometric recursive formula has the form

[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex]

where r is the common ratio

Here r = - 14 ÷ 7 = - 2, thus

[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex] with a₁ = 7

Answer:

Third option is the correct answer

[tex]y = -(2)x+ 3[/tex]

Step-by-step explanation:

Given functions are:

[tex]y=3(2)x\\ y = 3(3)x\\ y = -(2)x+ 3\\ y = (2)x-3[/tex]

To find:

The function which has a range [tex]y <3[/tex] ?

Solution:

First of all, let us learn about the terms Domain and Range for a function:

[tex]y = f(x)[/tex]

Domain is the value of [tex]x[/tex] which is given as input to the function and gives a valid value of output as [tex]y[/tex] (i.e. function is defined).

Range of a function is the value [tex]y[/tex] that comes as output when given a valid value of [tex]x[/tex] as input.

Now, let us consider the given options above.

Third option is the correct answer.

[tex]y = -(2)x+ 3[/tex]

As we can see, [tex](2)x[/tex] is subtracted from 3 so [tex]y[/tex] will have a value which is lesser than 3.

i.e. range will be [tex]y <3[/tex].

No other function has such condition present in it.

[tex]y = -(2)x+ 3[/tex] is the correct answer.