100 POINTS! Fully correct and explanatory answers only!

In the figure, ∠4 is an exterior angle to triangle ∠A∠U∠L .


(a) What is the angle measurement of Angle 3? Explain the angle relationship you used.



(b) What is the angle measurement of Angle 4? Explain the angle relationship you used.



(c) What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar and different between the angle relationship between angles 1, 2, & 3 and that between 3 & 4?



(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.


ANSWER ALL 4 PARTS FULLY AND EXPLANITORY!

Answer:

cylinder surface area = 201.06in²

surface area of cone = 56.56in.²

Step-by-step explanation:

cylinder surface area formula = 2πrh + 2πr²

refer the pic

cone surface area formula = πr ( r + √h² + r² )

refer the sec pic

surface area of the solid

= ( 201.06 + 56.56 ) in.²

= 257.62in.²

= 258in.²

Answer:

False.

Step-by-step explanation:

It is false because when dividing an odd number by an odd number, it usually isn't divisible. In this case, 690,269. Is an odd number, because the last number, 9, is odd, which makes the whole thing odd. So, odd divided by odd never turns out well. (By the way the answer is 76,696.5555556).

Answer:

x = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{1}{x}[/tex] = 5 ( multiply both sides by x to clear the fraction )

1 = 5x ( divide both sides by 5 )

[tex]\frac{1}{5}[/tex] = x

Answer:

(i use app I'm sorry if I'm wrong)

Answers:

Explanation:

For the first box, we add the two values 90 and 150 to get 240.

The same goes for the second box as well, except we cannot combine n and p together. We leave it as n+p. If we knew what numbers replaced n and p, then we could simplify further.

Answer:

28/60

Step-by-step explanation:

There are 60 people in total and only 28 people said they prefer strictly vanilla and no other flavor.

28/60

Answer:

88th term = -431

to solve, keep subtracting 5

Answer:

a₈₈ = - 431

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 4 and d = a₂ - a₁ = - 1 - 4 = - 5 , then

a₈₈ = 4 + (87 × - 5) = 4 + (- 435) = 4 - 435 = - 431

Answer: 50

Let's first of all assume the son's age as x.

So,

Father's age will be 2x i.e. twice as old as the son

Given that,

Sum of their ages = 75 years

So,

x + 2x = 75

3x = 75

x = 75/3

x = 25

Hence,

Son's age = x = 25 years

Father's age = 2x = 2 * 25 = 50 years

Answer:

A

Step-by-step explanation:

The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units

Answer:

the answer is =

y = [tex]-\frac{1}{4} x[/tex]

Answer:

30 + 5y

Step-by-step explanation:

Distribute the 5

5*6 = 30

5*y = 5y

and add

Answer:

[tex]5y+30[/tex]

Step-by-step explanation:

This equation on the left wants us to use the distributive property. That means we can distribute 5 to the 6, and the y in the equation. So, we will multiply.

[tex]5(6)=30\\5(y)=5y[/tex]

And, it wants us to add the two, so therefore it would be [tex]5y+30[/tex]

You needed to do q and a questions about the same as in the morning

Answer:

  -101

Step-by-step explanation:

Put 9 where x is, and do the arithmetic.

  f(x) = -x² -20

  f(9) = -9² -20 = -81 -20

  f(9) = -101

Answer:

4 units to the right

Step-by-step explanation:

A(-1,4) is translated into A'(3,4)

so this point was shifted four to the right because only the x- value was changed

Answer: 1

Step-by-step explanation: only 1 because since each include only 3 diff designs, and she currently owns 5 diff designs, and you can exactly go any further, because 3 + 3 = 6, and its only 5. If it werent for the designs, then she could make 3 texts, because 2 x 3 = 6. Sorry if I got it wrong, I'm just confused on how this is explained.

150 unique packs can be created.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

Given:

Loren has 5 different designs and 6 different greeting texts.

Each holiday pack includes 3 different designs and 2 different texts.

So, the unique ways to create

= [tex]^5C_3 . ^6C_2[/tex]

= 5! / 3! 2! x 6! / 2! 4!

= 10 x 15

= 150

Hence, 150 unique packs can be created.

Learn more about Combination here:

https://brainly.com/question/28720645

#SPJ2

Answer:

yellow box

Step-by-step explanation:

slope is rise over run

from any given point you go up 1 and over to the RIGHT 3 (1/3)

or you can go down one and to the LEFT 3 (-1/-3)

y intercept is -2 so you have y = 1/3x - 2

Math is not present only in exercises of  school, but it is present in day-to-day life of society. For example, math can be used to:

   • pay your bills;

   • go to supermarket;

   • go to restaurant;

   • make a cake or a favorite dish ;

   • play music;

   • read time in a watch;

   • take a medication;

   • write a code for an app mobile.

A great advantage is that numbers are universal, thus the number are the same independent of your location.

It is the science that relates everyday practices and nature to human reasoning and numerical logic.

Learn more about  mathematics here:

https://brainly.com/question/1146295

15 inches is the height of the pyramid

Step-by-step explanation:

The volume of a cube is a³

Given a = 5 inches

→ Volume = a³

= 5³

= 5×5×5

= 125 in²

The volume of a pyramid is [tex] \frac{1}{3} {a}^{2}h[/tex]

Given a = 5 inches , h = height of pyramid

[tex] = > \frac{1}{3} {a}^{2} h[/tex]

[tex] = > \frac{1}{3}(5)^{2}h[/tex]

[tex] = > \frac{1}{3} \times 25 \times h[/tex]

[tex] = > \frac{25}{3}h[/tex]

then,

[tex]125 = \frac{25h}{3}[/tex]

[tex] = > 25h = 125 \times 3[/tex]

[tex] = > 25h = 375[/tex]

[tex] = > h = \frac{375}{25} [/tex]

[tex] = > h = 15[/tex]

Hence, the height of pyramid is 15 inches

Answer:

Step-by-step explanation:

the function is decaying exponentially at a rate of 90%

0.1-1=0.9 x100 =90 and it’s decaying because r (0.1) is less than one

Answer:

4.5 cm 2

Step-by-step explanation:

Formula of the area of a Triangle =  [tex]\frac{H_{2} *B} {2}[/tex]

3*3=9

9/2=4.5

area= 4.5 cm 2

Answer:

[tex]y=1/4+1\\[/tex]

Step-by-step explanation:

There are a few ways to do this.

1) Make a graph

You can graph [tex]y=1/4x[/tex] by placing a dot 1 y-value above every time you go four x-values to the left. Place (4,2) on the graph and plug in different values of b.

2) Make and solve an equation

Our equation will use the point given to us, and the slope

Since 2 = y and 4 = 2, we will plug those in for [tex]y=mx+b\\[/tex]

[tex]2=1/4(4)+b\\2=1+b\\1=b[/tex]

Therefore, the equation for this question is [tex]y=1/4x+1[/tex]

Answer:

Step-by-step explanation:

5)50=x+59 => x=-9

6)x+77=70 => x=-7

7)x+123=115 => x=-8

8)11x-1=10x+10 +> x=11

9)120+5x+10=180 => 5x=50 =>x=10

10)125=x+134 => x=9

The picture below will help you to understand this question better.

[tex] \sf \: 2(5x - 7) = 8x + 15[/tex]

[tex] \: \: [/tex]

[tex] \sf 10x - 14 = 8x + 15[/tex]

[tex] \: \: [/tex]

[tex] \sf \: 10x - 8x = 15 + 7[/tex]

[tex] \: \: [/tex]

[tex] \sf \: 2x = 8[/tex]

[tex] \: \: [/tex]

[tex] \sf \: x = \cancel\frac{8}{2} [/tex]

[tex] \: \: \: [/tex]

[tex] \boxed{\sf \: x = 4}[/tex]