Examine the diagram.

A triangle has angles 1, 2, 3. Angle 4 is an exterior angle to angle 3.

For the angles shown in the diagram, which statements are true? Select all that apply.
The sum of m∠3 and m∠4 is 180°.
The sum of the measures of the adjacent interior angle and one of the remote interior angles is equal to the measure of the exterior angle.
∠3 is supplementary to ∠1.
m∠4 = m∠1 + m∠2.
m∠1 + m∠2 + m∠3 = 180°

Answer:

The positions of your north celestial pole and south celestial pole change as you change latitude on the Earth, as you move north or south. At the Earth's equator, the Celestial Equator is directly overhead, and the poles are on opposite sides of the horizon. All stars are visible as they rise, culminate at the meridian, and set. As you move north, the Celestial Equator mirrors your movement, moving south the same number of degrees away from the zenith. The altitude of any star will change with the observer's latitude (as well as the time of night).

Note: only the altitude of the star changes NOT their coordinates. The star's celestial coordinates remain the same.

Step-by-step explanation:

Declination is measured in degrees north (+) or south (-) of an imaginary line called the Celestial Equator (CE). The Celestial Equator is the projection of the Earth's Equator onto the Celestial Sphere. The CE has a declination of 0 degrees, by definition. At dec = +90 degrees (90 degrees N) is the North Celestial Pole (NCP), the projection of the Earth's North Pole onto the Celestial Sphere. The South Celestial Pole (SCP) is at dec = -90 degrees.

An Example would be:

You move 30 degrees North of the equator, hence, the Celestial Equator has moved away from the zenith, 30 degrees to the south.

While the NCP has risen 30 degrees into the sky and the SCP has sunk 30 degrees below the horizon.

If you moved south, the opposite would have occurred as the Celestial Equator moved north of the zenith.

Answer:

1) A number less than 32

2) 32

The number will be :

1) Any number less then 32 when divided by 32 will be less that 1.  

2) 32 when divided by 32 will be equal to 1.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Let, the number be = x

1) The value of __ divided by 32 is less that 1 that is :

x/32 < 1

x < 32

Any number less then 32 when divided by 32 will be less that 1.  

2)  The value of __ divided by 32 is equal to 1 that is :

x/32 = 1

x = 32

32 when divided by 32 will be equal to 1.

Therefore, the number will be :

1) Any number less then 32 when divided by 32 will be less that 1.  

2) 32 when divided by 32 will be equal to 1.

Read more about mathematics operations at:

https://brainly.com/question/23205626

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Answer:

Here is your answer!

Sorry I'm late but hopefully I can help others when looking for answers.

Step-by-step explanation:

Brainlist? :)

Answer:

use the slope formula!

Step-by-step explanation:

Rate of change is basically slope

you have to use the slope formula y2-y1/x2-x1

for example in the first question on the left 30-15 ÷ 5-2 = 5

would you like me to do the rest?

Answer:

3x² + 2x + 18

Step-by-step explanation:

24x² + 16x + 144 .......simplify by 4

6x² + 4x + 36

3x² + 2x + 18

Answer:

c

Step-by-step explanation:

3*8=24

2*8=16

18*8=144

then you put the variables behind em :)

Answer:

heres a screenshot of the correct answer

Hope This Helps!!!

Answer:

4x-18y

Step-by-step explanation:

[tex]x-\left(7y-3x\right)-11y[/tex]

Let's apply the distributive law: -a(a-b)=-a+b

[tex]-\left(7y-3x\right)=-7y+3x[/tex]

[tex]x-7y+3x-11y[/tex]

Now, we'll Group terms

[tex]x+3x-7y-11y[/tex]

[tex]4x-18y[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

well 20 models of 100's=2,000

so now we have 700 left over

so to get to 700 how many 100's does it take=7

so put those 2 numbers together 27

Hope it helps have a great day :}

Answer:

6.48

Step-by-step explanation:

[tex] \leadsto \sf \dfrac{p}{9} + 89 = - 103[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf \dfrac{p}{9} = - 192[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf p = - 192 \times 9[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf p = - 1728[/tex]

Check the picture below.

so each triangular face has a height of 91.4 and a base of 115, and there are four of them, now, we're only considering the "lateral area", that excludes the base.

[tex]\stackrel{\textit{area of 4 triangles}}{4\left[ \cfrac{1}{2}(115)(91.4) \right]}~~\implies ~~ 21022[/tex]

Answer:

3.4 gigabytes

Step-by-step explanation:

Because 57.20$ divided by 47 is 10.20 and 3 goes in to 10.2 3.4 times.

Answer:

Step-by-step explanation:

x+5=8

x=3

x+5= -8

x=-13

lesser x=-13

greater x= 3

Answer:

it is the heading so pick that and you answer is done

Answer:  EXPONENTIAL GROWTH AND DECAY a = starting or initial value ADD = Growth y=a(1Ær)* amount r = percent of change SUBTRACT-Decay Basic Equation Statements: Determine growth decay, the percent of change, and initial value. EQUATION Initial Value Growth or Decay? Percent of Change 1) y = 7500(1 +.03) 2)y = (0.85) 3)y=900 (1.27) 4) y = 24000(1-.08) 5)y = 750(1.15) 6) y = 250,000(0.65) 7) y = 11,275(1.1) 8)y = 673 (2.2) Exponential Growth and Decay Word Problems: Evaluate all answers exactly and then round when necessary 9. The price of a car that was bought for $10,000 and has depreciated 10% yearly. Find the price of the car 8 years later, PRICE: The equation for the price of a baseball card that was bought for 5 dollars and has appreciated 5% yearly. Find the value of the card 25 years later. VALUE: !!. A town of 3200, grows at a rate of 25% every year. Find the size of the city in 10 years. Population: 12 Acity of 100,000 is having pollution problems and is decreasing in size 2% annually (every year). Find the population of this city in 100 years. Population: In 1982, the number of Starbucks was shops. It has exponentially grown by 21% yearly. Let the number of years since 1982. Find an equation for this growth and find the number of Starbucks predicted in 2015

Step-by-step explanation:

Fraction is a quantity representing part of a hole. The specified fraction's quotient is obtained as: Option A: -343

If we have [tex]a^b[/tex], then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}[/tex]

For given case, the quotient of fraction is obtained as:

[tex]\dfrac{(-7)^2}{(-7)^{-1}} = (-7)^2 \times (-7)^{-(-1)} = (-7)^{(2 + 1)} = -7^3 = -343[/tex]

Thus, The specified fraction's quotient is obtained as: Option A: -343

Learn more about fraction quotient here:

https://brainly.com/question/7349976

Answer:

a if u don't want to read lma o

Step-by-step explanation:

Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.

Step-by-step explanation:

3 parts frozen yogurt

5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces

Answer:

Last choice

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

power stored during the day can be released in evening hours when the energy is most needed

Answer:

84 cm 2 :)

Step-by-step explanation:

a cube has 6 faces

14 x 6 = 84!

Given, Area of each face = 14 cm^2

So, surface area = 6 × Area of each face

= 6 × 14 cm^2 = 84 cm^2

Hope this helps :)

The volume of the ball is 636.38 cm^3. Option C shows the correct volume of the ball.

The volume of the sphere is defined as the amount of space occupied within the sphere. It is a space occupied by a three-dimensional object.

Given that the thickness of the ball is 2 cm and the outer radius r2 of the ball is 6 cm. The inner radius r1 of the ball is the difference between the outer surface and the thickness of the material.

r1 = 6-2

r1 = 4cm

The volume of the sphere ball is given as,

[tex]V = \dfrac {4}{3}\pi r^3[/tex]

For the inner radius, the volume is given as,

[tex]V_1 = \dfrac {4}{3}\times 3.14\times (4)^3[/tex]

[tex]V_1 = 267.94 \;\rm cm^3[/tex]

For the outer radius, the volume is given as,

[tex]V_2= \dfrac {4}{3}\times 3.14\times (6)^3[/tex]

[tex]V_2 = 904.32\;\rm cm^3[/tex]

The final volume of the ball is the difference between the volume of the inner and outer surface.

[tex]V = V_2 - V_1[/tex]

[tex]V = 904.32- 267.94[/tex]

[tex]V = 636.38 \;\rm cm^3[/tex]

Hence we can conclude that the volume of the ball is 636.38 cm^3. Option C shows the correct volume of the ball.

To know more about the volume, follow the link given below.

https://brainly.com/question/1578538.

Answer:

heyyy here's your answer hope it helps you

Step-by-step explanation:

1. 4a+7a=11a.

2.20y-6y=14y.

3.8m-8m=0.

4.9b+6=9b+3.

Answer:

Function : 1 input 1 output

not a Function : 1 input more than 1 output

ck12org

Answer:

x = 5

Step-by-step explanation:

Set up proportion and cross multiply to solve:

9/2x-1 = 15/3x

x = 5

Answer:

Step-by-step explanation:

An angle bisector divides the base into ratios obtained by the sides of the triangle that are not divided. So

9/(2x - 1) = 15/3x                  Divide 3 into 15

9/(2x - 1) = 5/x                     Cross multiply

9x = 5(2x - 1)                        Remove the  brackets

9x = 10x - 5                          Switch sides.

10x - 5 = 9x                          Subtract 9x from both sides

10x - 9x - 5 = 0                    Combine

x - 5 = 0                               Add 5 to both sides.

x = 5

Answer:

broken

Step-by-step explanation:

You use a dashed line when you have < or >.

When there is the "or equal to" bar under the <, > symbols then you use a solid line.

Answer:

The answer is B, C, D, and E

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

LC = 1/2 LH

2LC = LH

2(10) = LH

LH = 20

Answer:

B. 20

Step-by-step explanation:

Because the distance from L to C is ten so the distance from L to H is double of the distance from L to C.

Answer:

(a) d=65t

Step-by-step explanation:

If, for example she drove 10 hours, and she drove 65 miles each hour:

d=?

t= 10 hr

Speed= 65 mph

The formula for distance (check triangle linked below) is d=st (s*t)

so,

d=65t

hope this helps. It really simple, But I don't think I explained it too well.

Answer:

I= PRT ÷100

Step-by-step explanation:

I = 340000×30×3 ÷100