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Answer:

Step-by-step explanation:

Supplementary angles are two or more angles that add up to give the measure of angle on a straight line (i.e [tex]180^{o}[/tex]).

It can be deduced from the given question that;

1. <1 and <2 are supplementary, also <1 and <3 are supplementary. Reason: as given in the question.

2. Given statements: m<1 + m<2 = [tex]180^{o}[/tex], and m<1 + m<3 =  [tex]180^{o}[/tex]. The reason is the definition of supplementary angles.

3. Statement: m<2 = m<3. The reason is a transitive property.

4. Statement: m<1 + m<2 = m<1 + m<3. The reason is subtraction property of equality.

5.Given statement: <2 ≅ <3. The reason is that definition of congruent angles.

Therefore, <2 ≅ <3.

Answer:wwwwhhhhhaaaaaatttttt

Step-by-step explanation:

Answer

$172.5

U find one percent of a 150 then times that by 15

Answer:

The length of EF = x = 18 cm

Option A is correct.

Step-by-step explanation:

Ware given perimeter of triangle = 97 cm

We need to find length of EF = x = ?

The length of EG = x+7

The length of EF = x

The length of GF = 3x

The formula used is: [tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle[/tex]

Putting values and finding x i.e length of EF

[tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm[/tex]

So, value of x=18 cm

The length of EF = x = 18 cm

Option A is correct.

Answer:

A

Step-by-step explanation:

Its A which ever is the one that is full

Answer:

V = x³ - 3x² + 3x - 1

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side )

Here s = x - 1 , thus

V = (x - 1)³

   = (x - 1)(x - 1)(x - 1) ← expand the second pair using FOIL

   = (x - 1)(x² - 2x + 1) ← distribute

   = x³ - 2x² + x - x² + 2x - 1 ← collect like terms

   = x³ - 3x² + 3x - 1

Answer:

(5,1)

Step-by-step explanation:

2x-y=9

(5,1)

There are many ordered pairs you could choose. For instance if x=0, then y=9. So you have the pair (0,9). If y=0, then 2x=9, so x=4.5. So you have the pair (4.5,0). You can keep making pairs by plugging in different values!

Answer:

-4/6, -8/12, -16/24, etc. look at the picture.

Step-by-step explanation:

Brainliest Please!!! Also, Tip: show the multiple choice options.

Answer:

4/6

Step-by-step explanation:

Step-by-step explanation:

Since area = length(width) = l(w)

We need to multiply 15 and 9.

15(9) = 135

Therefore, the area of the rectangle is 135 ft

Area of the rectangle is 135 feet square

A rectangle is a quadrilateral with four right angles.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

Given,

Length of the rectangle = 15 feet

Width of the rectangle = 9 feet

Area of the rectangle = Length × Width

=15×9

=135 feet square

Hence, the area of the Rectangle is 135 feet square

Learn more about Rectangle and Area here

https://brainly.com/question/20693059

#SPJ2

Answer:

0.72321

Step-by-step explanation:

Given that :

Mean = 21604

Standard deviation (s) = 727

Sample size (n) = 193

P(x < 21635) :

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s/√n

Z = (21635 - 21604) / 727/√193

Z = 31 / 52.330605

Z = 0.5923875

P(Z < 0.5924) = 0.72321 (Z probability calculator)

p(Z < 0) = 0.5 ( Z probability calculator)

Answer:

y=1/3x+4

Step-by-step explanation:

Slope = 1/3

y=1/3x-b

Through (6,-2)

-2=1/3(6)-b

-2=2-b

-4=-b

b=4

y=1/3x+4

Hope this helps!

Answer:

Adults living in San Francisco, California

Step-by-step explanation:

The population is the large group from which the sample is selected or chosen. In the question given the sample is drawn from the adult population of  San Francisco who are aged 40 to  50 to find out whether they can buy

an electric vehicle sometime in the next year.

The population it can be generalized to is adults living in San Francisco, California.

A population is defined as the group of all the individual members or objects having some common interest or characteristics.

The individual members are called the sampling units or simply units.

Answer:

adults only who live in San Francisco

Answer:

1. 45

2. 45

3. 90

4. 45

5. 45

6. 60

7. 60

8. 60

9. 60

10. 60

Step-by-step explanation:

Answer:

Adults = 300

Step-by-step explanation:

Answer:

[tex]1x^{2}+4x[/tex]

Step-by-step explanation:

Usually, you'd not include the "1" before x, but Edge has no brains and can't comprehend it not being there for some reason.

So 1 and 4.

The answer to the next question on the same page as the one I just answered:

What is the volume of Box 3?

B. x^4 + 4x^3 + x^2 + 4x

Answer:

1 & 4

Step-by-step explanation:

i did the question

Answer:

x = 111 degrees

Step-by-step explanation:

the angle next to 164 degrees :

any line = 180 degrees, so 180 - 164 = 16 degrees

now you have two out of three angles in the triangle. All three angles of every triangle must add together to equal 180, so

180 = 53 + 16 + x

or

x= 180 - 53 - 16

x=111 degrees

Answer:

When x = 2, there's a solid answer, if x > 2, it's an inequality

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Interpreting the results:

a) At least 99.3% of the data lies between 12 standard deviations of the mean

b) The data lies between points 0 and 168

Step-by-step explanation:

The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 5 points. Apply chebychev's theorem to the data using k= 12 interpret the results

Chebychev's theorem states that:

At least 1 - 1/k² data lies between k standard deviation of the mean

μ ± kσ

Where k is a positive number greater than 1

From the question above

μ = Mean = 84 points

σ = Standard deviation = 5 points

Hence: k = 12

We have:

1 - 1/12²

= 1 - 1/144

= 144 - 1/144

= 143/144

= 0.9930555556

Approximately = 99.3%

Interpreting these results means that At least 99.3% of the data lies between 12 standard deviations of the mean

Hence,

μ - kσ

84 - 12 × 7

= 84 - 84

= 0

μ + kσ

84 + 12 × 7

= 84 + 84

= 168

Hence, the data lies between points 0 and 168

Answer:

A. 32

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 1/2(4)ˣ

f(3) is x = 3

Step 2: Evaluate

Answer:

y=4/5x-5

Step-by-step explanation:

to find the slope intercept form (y=mx+b) we must find the slope(m) first. We take the two points given and use the slope formula (y2-y1/x2-x1) take the point (0,-5) as (x1,y1) and the point (5,-1) as (x2,y2).Using the slope formula {-1-(-5)/5-0}. We get the slope equal to 4/5. Now we have y= 4/5x+b.To find b we must choose one point from the given and substitute x and y in the formula we have(y=4/5x+b). I chose (0,-5) so substituting that, (-5=4/5(0)+b), and to finally get b=-5.Now substitute b in the equation y=4/5x+b to get y=4/5x-5.

Answer:

B. 3x^2 - 13x + 7

Step-by-step explanation:

6x^2 - 5x + 3 - (3x^2 + 8x - 4)

6x^2 - 5x + 3 - 3x^2 - 8x + 4

3x^2 - 13x + 7

Answer:

option c

Step-by-step explanation:

a guitar 15% off means that the cost is now 85%

[tex]100percent---200dollars\\85percent---x\:dollars\\\\x=\frac{200*85}{100}\\\\x=2*85\\\\x=170[/tex]

now the 8% of 170 is

[tex]100\:percent---170\:dollars\\\\8\:percent---x\:dollars[/tex]

[tex]x=\frac{8*170}{100}\\\\x=\frac{8*17}{10}\\\\x=13.6[/tex]

so the total cost is

170+13.6

183.6

Answer:

y^5

Step-by-step explanation:

you subtract the exponents

Answer:

Cups are the unit

Step-by-step explanation:

If you were using cups so 8 pancakes you use 5/6 of a cup per pancake

(a unit is just what you use to measure something, so cups, liters, or even cm or meters)

Answer:

report me if i cheat nah its 4

Step-by-step explanation:

Answer:

The order is

Sherry >> Rachel>>Bobby

Step-by-step explanation:

Step one:

We want to find the smallest unit rate

given data

1. Bobby fills his bucket at a rate of 3/4 gallon in 2 minutes.

unit rate

=3/4/2

=3/4*1/2

=3/8

=0.375 gallons per minute

2. Rachel can fill her bucket at 1/5 gallon in 1/2 minute.

unit rate

=1/5/1/2

=1/5*2/1

=2/5

=0.4 gallons per minute

3.  Sherry can fill 3/8 gallon in 3/4 minute.

unit rate

=3/8/3/4

=3/8*4/3

=12/24

=0.5 gallons per minute