Which theorem or postulate proves the two triangles are similar? The diagram is not drawn to scale .

Answer:

Step-by-step explanation:

Given Question,

2x - 7

Given Value:

[tex]x = \frac{1}{2} [/tex]

Solution,

[tex]2( \frac{1}{2} ) - 7[/tex]

[tex] = 2 \times \frac{1}{2} - 7[/tex]

= 1 - 7

= - 6 (Ans)

Answer:

32, because when you are dividing by a fraction, you can multiply by the divident by reciprocal of the divisor.

Step-by-step explanation:

4 ÷ 1/8

4/1 ÷ 1/8

4/1 × 8/1

4 × 8

32

When you are dividing by a fraction, you can multiply by the divident by reciprocal of the divisor.

Answer:

32

Step-by-step explanation:

4

1

1

8

=(

4

1

)(

8

1

)

=

(4)(8)

(1)(1)

=32

Answer:

Just guest: 38

Step-by-step explanation:

6÷4 = 1,5

So to make 6 to 4 we have: 6÷1,5 = 4

Similar to x: 57÷1,5 = 38

Answer:

0.8 Miles per minute.  1.6 miles in 2 minutes

Step-by-step explanation:

It says 48 miles for 60 minutes. But we only want one minute, so we can divide 60 to get 1 and divide 48 by 60 to get 0.8 for 1 minute.

For the second question you want 2 munutes so you multily this rate by 2 (0.8*2) to get 1.6 miles.

Hope this helps

:)

Answer:

15

Step-by-step explanation:

f(x)=2x^2-3x+1

f(-2)=2*(-2)^2 -(3*-2)+1

=2*4-(-6)+1

=8+6+1

=15

f(-2)= 15

OPTION C is the correct answer

Answer:

x² + 7x - 4 = 0

Step-by-step explanation:

A quadratic equation in standard form is

ax² + bx + c = 0 ( a ≠ 0 )

Given

- 7x + 4 = x² ( subtract - 7x + 4 from both sides )

0 = x² + 7x - 4 , that is

x² + 7x - 4 = 0 ← in standard form

Tables--> 2

Each table--> (4*2) 8 boxes

Each box--> (8*6) 48 crayons

On each table--> 48/2

= 24 crayons on each table.

mark me brainliestttt :)))

Answer:

no

Step-by-step explanation:

First determine the discount

11.95 * 15%

11.95 *.15

1.79

Subtract the discount

11.95-1.79

10.16

You do not have enough money with a 10 dollar bill

Answer:

Then y = 6

Step-by-step explanation:

y = -x + 7

x = 1

y = -1 + 7

= 6

Mark Brainliest Please

Answer:

Answer is gicen in the image attached.

Step-by-step explanation:

Standard deviation (SD) measured the volatility or variability across a set of data. It is the measure of the spread of numbers in a data set from its mean value and can be represented using the sigma symbol (σ). The following algorithmic calculation tool makes it easy to quickly discover the mean, variance & SD of a data set.

For more help check Khan academy video

https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/sample-standard-deviation/v/sample-standard-deviation-and-bias

Answer:

2.6

Step-by-step explanation:

To calculate standard deviation:

(1) Find the mean - 4.33

4 + 5 + 9 + 1 + 2 + 5 = 26     26 / 6 = 4.333... ≈ 4.33

(2) Subtract the mean from each value and square each result

[tex](4 - 4.33)^2 = 0.1089[/tex]     [tex](5 - 4.33)^2 = 0.4489[/tex]     [tex](9 - 4.33)^2 = 21.8089[/tex]

[tex](1 - 4.33)^2 = 11.0889[/tex]    [tex](2 - 4.33)^2 = 5.4289[/tex]    [tex](5 - 4.33)^2 = 0.4489[/tex]

(3) Find a new mean with the new values from the previous step

0.1089 + 0.4489 + 21.8089 + 11.0889 + 5.4289 + 0.4489 = 39.3334

39.3334 / 6 = 6.555566667

(4) Take the square root of the new mean.

[tex]\sqrt[]{x6.555566667} =2.560384086[/tex]

2.560384086 rounded to the nearest tenth is: 2.6

Answer:

78.5398163397

Step-by-step explanation:

5x5= 25xpi=78.5398163397

Answer:

x=-8 or x=-1 (first option)

Step-by-step explanation:

[tex]\sqrt{1-3x}=x+3\\1-3x=(x+3)^{2} \\[/tex]

now expand the bracket on the right

[tex]1-3x=x^{2} +6x+9\\simplify:\\1-9=x^2+6x+3x\\-8=x^2+9x\\[/tex]

now make it a quadratic equation:

[tex]x^2+9x+8=0\\factorise:\\(x+1)(x+8)\\so:\\x+1=0 \\x=-1\\\\and \\x+8=0\\x=-8[/tex]

Answer: [tex]1\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

The equation in terms of a is

[tex]\Rightarrow \dfrac{a}{a-1}-\dfrac{a+5}{a}=0\\\\\Rightarrow \dfrac{a}{a-1}=\dfrac{a+5}{a}\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=\dfrac{5}{4}\ \text{or}\ 1\dfrac{1}{4}[/tex]

Answer:

4

Step-by-step explanation:

Answer:

m = 5

Step-by-step explanation:

to one side length of 4 to 2, we divided by 2 so why not divide 10 by 2

10 ÷ 2 = 5

Please give me brainliest!

Answer:

7 1/2 miles per half hour

Step-by-step explanation:

First let's find how many miles you travel per hour. To find that, you divide 45 by 3. This gives you 15 miles per hour. Now we need to find how many miles in half an hour. To do this we are going to convert into minutes. We need to find out how many miles per minute. There are 60 minutes in 1 hour, so we will divide 15 by 60. That gives 0.25, or 1/4 mile per minute. So now that we know how many miles per minute, we can find out how many for half an hour. Half an hour is 30 minutes, so we are going to multiply 1/4 by 30. You will get 15/2. We need to make that a mixed number, and that gives us 7 1/2 miles per 30 minutes, or 7 1/2 miles per half hour.

I hope this helped :)

(edit: I just realized I did this the hard way. Sorry. The easier way would be to just divide 15 by 2 since it would take two halves of 15 to make the amount of miles per hour.)

Answer:

2 times larger

Step-by-step explanation:

Area of a rectangle = length x width

assume width = 10

older area = 44 x 10 = 440

new area

length = 44 x 2 = 88

88 x 10 = 880

change in area = 880 / 440 = 2

Answer:

[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]

Answer:

39

Step-by-step explanation:

y=arctan(0.8)=38.65=39

Answer:

-7842 meters

Step-by-step explanation:

Since the point is below sea level, it is negative

-7842 meters

Answer:

it would probably be around 1.8 or either 1.7

Answer:

You need to post the angle too

Step-by-step explanation:

Answer:

x = 8 cm

Step-by-step explanation:

Given that,

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.

We need to find the value of x.

In a square, all the sides are equal. So,

PQ = QR

2x +3 = 3x – 5

3+5 = 3x - 2x

x = 8

So, the value of x is equal to 8 cm.

Answer:

the answer is true.

4/6

10/15

Answer:

The answer is "[tex]7x^2 +10x -7[/tex]"

Step-by-step explanation:

Let the given value is:

[tex]\to \bold{-2x +8x -9 +4x +7x^2 +2}\\\\[/tex]

Solving the given value:

[tex]\to7x^2 -2x +8x +4x-9 +2\\\\\to7x^2 +10x -7\\\\\to7x^2 +10x -7\\\\[/tex]

Note: Consider the below frequency distribution table of the ages of the participants is attached with this question.

Given:

The frequency distribution table of the ages of the participants.

To find:

The number of participants whose age fall between 31 to 33 years old.

Solution:

In the given frequency distribution table the frequencies represents the number of participants of corresponding age group.

From the given frequency distribution table of the ages of the participants, it is clear that the frequency for age class 31-33 is 5.

Therefore, there are 5 participants whose age fall between 31 to 33 years old.

Answer:

9

Step-by-step explanation:

Given that :

Total Number of scorings (both Teams) = 18

Let :

x = number of 5 point score ; y = number of 2 point score

Total points scored = 34 + 29 = 63

x + y = 18 - - - (1)

5x + 2y = 63 - - (2)

From (1)

y = 18 - x

In (2) ; we have ;

5x + 2(18 - x) = 63

5x + 36 - 2x = 63

3x + 36 = 63

3x = 63 - 36

3x = 27

x = 9

9 5-point plays

Answer:

9

Step-by-step explanation:

Answer:

LM = 20

LN = 160/7

Step-by-step explanation:

If M is between L and N, then LM = MN

Given

LM = 7x + 4, MN = 20, LN = 10x

7x+4 = 20

7x = 20 - 4

7x = 16

x = 16/7

LM = 16/7(7) + 4

LM = 16 + 4

LM = 20

LN = 10x

LN = 10(16/7)

LN = 160/7

Answer:

The ramp is safe.

The unknown angle measure is, ([tex]23.6[/tex])

Step-by-step explanation:

Assume that the ground makes a (90) degree angle with the wall. This means that the formed triangle is a right triangle. Thus, one can use the right angle trigonometric ratios. These ratios are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

The hypotenuse is the side opposite the right angle of a right triangle. This side's name doesn't change. However, the (opposite) and (adjacent) sides change names based on the angle one is using to describe them in the ratio.

In this case, one is given the side opposite to an angle, as well as the hypotenuse. However, one isn't given the measure of the angle. Thus, one should use the ratio of sine (sin) to find the unknown side. Let theta ([tex]\theta[/tex]) represent the measure of the unknown angle.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(\theta)=\frac{2}{5}[/tex]

Inverse operations,

[tex]\theta=sin^-1(\frac{2}{5})[/tex]

Simplify,

[tex]\theta=23.578178[/tex]

Since the value of ([tex]\theta[/tex]) is less than (30) degrees, the ramp can be used safely.