Determine the measure of each indicated angle.

Determine The Measure Of Each Indicated Angle.

Answers

Answer 1

Answer:

∠ABC =   52°

∠BCA =  48°

∠CAB = 80°

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180.

13x² + 12x² + 20x² = 180

Combine like terms,

                 45x²  = 180

                     x² = 180 ÷ 45

                     x² = 4

                     x = √4

                     x = ± 2

x = 2 ; -2

∠ABC = 13x² = 13*4 = 52°

∠BCA = 12x² = 12 *4 = 48°

∠CAB = 20x² = 20 *4 = 80°

Answer 2

The value of x is +2 and -2 and the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

∠ABC = 13x² ∠ACB = 12x² and ∠CAB = 20x²

The angles will be calculated as follows:-

13x² + 12x² + 20x² = 180

45x²  =  180

x²  =  4

x   =  ±2

The angles will be:-

∠ABC = 13x²  = 13 x ( 2² ) = 52

∠ACB = 12x²  = 12 ( 2² )    = 48

∠CAB = 20x²  = 20 ( 2² )  = 80

Therefore value of x is +2 and -2 the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

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Related Questions

Need help (pic included)

Answers

The value of the coefficient of xy is 0.

What is an algebraic expression?

It is an expression made of numbers and letters where the numbers are called coefficient.

Analysis:

(ax+by)(cx-dy)

ac[tex]x^{2}[/tex] -adxy +bcxy -bd[tex]y^{2}[/tex]

But, ac = 18, ad=bc, bd = 50

18[tex]x^{2}[/tex] -xy(bc -ad) - 50[tex]y^{2}[/tex]

since bc = ad, the coefficient of xy = 0

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A trash can is in the shape of a cylinder. It has a radius of 2 feet and a height of 5 feet. What is the volume of the trash can? Round to the nearest tenth. Use 3.14 for pi

Answers

Answer: 62.8 cubic feet

Step-by-step explanation:

R is radius

H is height

R=2ft

H=5ft

V=(3.14)(2)^2(5)

V=62.8 cubic feet

Which statement is true about the ordered pair (3 , 4)? A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin. B. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin. C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin. D. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.

Answers

Answer:

C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.

Step-by-step explanation:

Which statement is true about the ordered pair (3, 4)?

A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin.

The y-axis is the vertical line you can't go left or right, you go up or down

Hence this answer is NOT correct

B. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin.

The coordinates of a point is (x, y) where x = 3 and y = 4 so moving right 4 units is wrong as x = 3

Hence this answer is NOT correct

C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.

three units to the right on the x-axis

four units up on the y-axis

Hence this answer is the correct

D. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.

y does not equal 3 and you cant move right or left on the y-axis

Hence this answer is NOT correct

the gomez family drove 476 miles in 7 hours. what was their average speed, in miles per hour?

Answers

The average speed is 68 miles per hour

How to determine the average speed?

The given parameters are:

Distance = 476 miles

Time = 7 hours

The average speed is calculated as:

Speed = Distance/Time

So, we have:

Speed = 476 miles/7 hours

Evaluate

Speed = 68 miles per hour

Hence, the average speed is 68 miles per hour

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A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?

Answers

A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?

[tex] {p}^{2} > {p}^{2} \: \: and \: \: p {1}^{2} - \: p {2}^{2} \: < \frac{1}{3} [/tex]

Step-by-step explanation:

HOPE ITS HELP

I need help with a question

Answers

Answer:

y = 3

x = -15        

Step-by-step explanation:

When substituting, we want to get rid of one of the variables. (It's easiest ot find the variable in terms of other variable)

so, we know that...

 x + 5y = 0

    - 5y     - 5y

x = -5y

We can plug this x-value into the second equation to find our y-value:

 3y + 2x = -21

  3y + 2(-5y) = -21

3y - 10y = -21

      -7y = -21

     ÷ -7      ÷ -7

y = 3

So, if x = -5y,

x = -5y

x = -5(3)

x = -15

(we can test these values in one of the original equations):

    x + 5y = 0

(-15) + 5(3)= 0

-15 + 15 = 0

 {true}                        

so, y = 3 ; and x = -15    

hope this helps!! :)

y=3 x=-15 because that’s just the answer

How many feet of fencing will George need for the dog run?
22 feet
68 feet
76 feet
82 feet

Answers

George will need to do 76 ft. of fencing , Option C is the correct answer.

What is a Rectangle ?

A rectangle is a polygon with four sides , angles and vertices , the opposite sides are parallel and equal.

Area of the dog run = 240 sq.ft

Length of the run is 30 ft

Width is 30-x ft.

Area of a Rectangle = Length * Width

240 = 30 * (30-x)

8 = 30 -x

x = 22 ft.

Width is (30-220 = 8)

The perimeter of the rectangle is = 2(Length + Width )

Perimeter = 2( 30 +8)

Perimeter = 2 * 38 = 76 feet

Therefore George will need to do 76 ft. of fencing.

The complete question is

George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled  How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet

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Answer:

late a-s-f but 68 ft

Step-by-step explanation:

Let f(r) = 42 - 5, find f(3).

Answers

F (x) = 4x - 5
F (3) just means substituting x with 3
For further please ask in question

this ven diagram shows sports played by 10 students.

let event a = the student plays basketball

let event b = the student plays soccer

what is p(A/B)?

Answers

The answer is B because 4 x 5 is 20 times the amount of player 10

The average of three unique number is 50.if the loweat number is 30 what is the sum of other two numbers

Answers

Answer:

The sum of the other two numbers is 120.

Step-by-step explanation:

To find an average, you add all the numbers involved and divide it by the amount of numbers involved. in this case,

(x+y+z) ÷ 3 =50

x=30

Divide both sides by three to remove the denominator.

(30+y+z)÷ 3 (*3) = 50(*3)

(30+y+z)=150

Subtract 30 from both sides.

(30+y+z)-30= 150-30

y+z=120

Colton solved an equation incorrectly, as shown below: Step 1: x − 13 = 26 Step 2: x = 26 − 13 Step 3: x = 39 Which statement best explains why Step 2 is incorrect in Colton’s solution?

Answers

Answer:

Step 2 explains why Colton's solution is incorrect because he subtracted 13 on both sides instead of adding it on both sides.

Hope it helps!

Answer:

'Cause he didn't use the inverse operation! ^^

Step-by-step explanation:

Heres the correct way to solve it:

x-13=26

x=26+13

x=39

The correct way is to add 13 to both sides and not subtract.

--

Hope that this helped! Best wishes.

--

The sum of 8 and a number is less than 15. Which of the following
inequalities expresses the solution?

Answers

The inequality which expresses the solution to the task is; x < 7.

Which inequality expresses the solution to the graph?

According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;

let

The unknown number = x

sum of 8 and a number:

8 + x

sum of 8 and a number is less than 15:

8 + x < 15

x < 15 -8

x < 7.

Ultimately, the required inequality is; x < 7.

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Drag each tile to the correct location. The labels can be used more than once.

Match each polynomial expression with its degree.

0, 1, 2

Answers

The degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.

What is the degree of a polynomial?

The degree of the polynomial is defined as the highest power of the variable of the given polynomial or it is the maximum power of the polynomial.

The degree of the given expressions are shown as follows:-

(x-9)                 →  degree 1,

(-4x²-6x+9)      → degree 2,

(x²-2x+9)         → degree 2,

(-3)                   → degree 0,

(3x-2)               → degree 1,

(6x+2)              → degree 1

(5)                    → degree 0.

Therefore the degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.

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Give me the hardest math equation you know and solve it
(Beware, if you joke and waste the points, I will not be very happy!)

Answers

1B + 26M - 26K

Answer That!! Hehehehe

Which ordered pair is included in the solution set to the following system?

y > x2 + 1
y < x2 – x + 1


(–3, 4)
(–2, 6)
(0, 2)
(2, 4)

Answers

Answer:

The answer is (-2,6)

Step-by-step explanation:

Answer: (-2, 6)

Step-by-step explanation:

An easy way to solve this is to plug in each answer into the system of inequalities to figure out with ordered pair adheres to the rules of both equation.

Let's use the first ordered pair as an example: (-3,4)

Is this true?:

4 > (-3)² +1

4 < (-3)² - (-3) + 1

No, it is not:

4 < 10

4 < 13

Let's try the second answer:

Is this true?:

6 > (-2)² + 1

6 < (-2)² -(-2) + 1

YES, it is!

6 > 5

6 < 7

(-2, 6) is your answer. To check, verify that the last two answer choices are wrong.

Help i need it What is the product?

Answers

A or 12x^9+15^8-8x^6-10x^5 :)

Answer:

[tex]12x^9+15x^8 -8x^6-10x^5[/tex]

Step-by-step explanation:

[tex]~~(x^4)(3x^3 -2)(4x^2 +5x)\\\\=(3x^7-2x^4)(4x^2 +5x)\\\\=12x^9+15x^8 -8x^6-10x^5[/tex]

Chocolate cost $1.50 and was paid for with $5 which three coins were given as change

Answers

Answer: $3.5

Step-by-step explanation:

If a product cost $1.50 and you paid $5, the change will be equal to

$5 - $1.50 = $3.5 for change

PLEASE ANSWER ASAP!!!!!!
The function f(x)=−6sin(7/3x+1/6)−5 models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.

Over what range of temperatures does the average rate of change in temperature fall?

Enter a value in each box to correctly complete the statement.

The range in the average rate of change in temperature of the substance is from a low
temperature of ____ F to a high of ________ F

Answers

The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.

What is a formula for Fahrenheit?

The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;

°F = (9/5 × °C) + 32.

Given function:

f(x)= -6 sin(7/3 x+ 1/6) -5

The function will be maximum at the 7/3 x +1/6= 3π/2

So, the maximum temperature will be

= -6 sin (3π/2) -5

= 6 -5

= 1 F

The function will be minimum at the 7/3 x +1/6= π/2

Therefore, the maximum temperature will be

= -6 sin (π/2) - 5

= -6 -5

= -11 F

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Find each difference.
(-6s² + 12s-8) - (3s² +8s - 6) =
O-9s² + 4s-14
O-9s² + 4s-2
O-9s² + 20s - 14
O-9s² +20s-2
DONE ✔

Answers

Answer: [tex]-9s^2 + 4s-2[/tex]

Step-by-step explanation:

[tex](-6s^2 +12s-8)-(3s^2 + 8s-6)\\\\=-6s^2 + 12s-8-3s^2 - 8s+6\\\\=\boxed{-9s^2 +4s-2}[/tex]

Plot the foci of the hyperbola represented by the equation x^2/625 − y^2/3600 =1 100pts

Answers

The attached image represents the foci of the hyperbola

How to determine the foci?

The equation of the hyperbola is given as:

[tex]\frac{x^2}{625} - \frac{y^2}{3600} = 1[/tex]

Rewrite as:

[tex]\frac{x^2}{25^2} - \frac{y^2}{60^2} = 1[/tex]

A hyperbola is represented as:

[tex]\frac{(x - h)^2}{b^2} - \frac{(y - k)^2}{a^2} = 1[/tex]

This means that:

h = 0

k = 0

b = 25

a = 60

Next, calculate c the distance from the center to the focus using:

[tex]c = \sqrt{a^2 -b^2}[/tex]

This gives

[tex]c = \sqrt{60^2 -25^2}[/tex]

Evaluate

[tex]c = \pm \sqrt{2975}[/tex]

This means that:

Foci = (0, -√2975) and (0, √2975)

See attachment for the hyperbola and the foci

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Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2). Mark this and return

Answers

The function is shown to be positive throughout the whole range [-3, -2] in graph (B).

According to the question,

Four alternative graphs representing various functions are supplied to us; our task is to identify the function graph that is positive over the whole range [-3, -2]. A closed interval exists. Therefore, it includes both -3 and -2.The graph of the Y value must be in a positive area during this interval. Therefore, we must choose a function that is positive over the whole range [-3, -2].

Looking at the graph, we can see that the graph B has positive y-values in the range [-3, -2].

Hence The function is shown to be positive throughout the whole range [-3, -2] in graph (B).

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if x = 5 and y = 2 , work out the value of a) 3x+y b) 2x squared c) ( x-y) 2 squared out of the brackets

Answers

Answer:

a) 17

b) 50

c) 6

Step-by-step explanation:

a) 3x+y

3(5)+2

15+2

17

b) 2x²= 2×5²

2×25

50

c) (x-y)2= (5-2)2

(3)2

3×2

6

Topic: Speed
Subject: Mathematics
Answer the Question

Q1: Express each of the following in km/h

a: 8.4 km/min b: 315 m/s
c: 242 m/min d: 125 cm/s

Answers

Hope this helps you

........

another equation for y = 8x + 7

Answers

Linear function is the other equation

Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ($505)((1+0.004) - 1) ? (0.004)(1+0.004) Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ( $ 505 ) ( ( 1 + 0.004 ) - 1 ) ? ( 0.004 ) ( 1 + 0.004 )​

Answers

The TVM solver is a tool found in graphing calculators, that solve Time Value of Money problems.

The group of values that will return the same value as the given expression is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

What is Present Value?

Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date.

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

[tex]P = \frac{M[(1+r/n)^{nt} - 1]}{(r/n)(1+r/n)^{nt}}[/tex]

M = [tex]\frac{P.(r/n)(1+ r/n)^{nt} }{(1+ r/n)^{nt} - 1}[/tex]

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

0.003 = I/12

I = 0.003 X 12 = 3.6%

N = n X t = 24

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression

P = [tex]\frac{(415)[(1+0.003)^{24}-1]}{(0.003)(1+0.003)^{24}}[/tex]

when plugged into the TVM solver of a calculator is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

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Given: JLM is equilateral. Z is the midpoint of JM.
Prove: JZL is congruent to MZL.

Answers

Proving Congruence

There are multiple ways to prove congruence between two triangles:

SSS - three sides are congruentSAS - two sides and the angle in between are congruentASA - two angles and the side in between are congruentAAS - two angles and one side are congruentHL - (applies only to right triangles) the hypotenuse and one leg are congruent.

Keep in mind that the order of the letters matters.

Solving the Question

Given triangle JLM, we know that

S - Z is the midpoint of JM, meaning JZ is congruent to MZ.S - Both triangles share side LZ.S - Because JLM is an equilateral triangle, LJ is congruent to LM.

This is only one of the ways to prove congruence with these two triangles.

Solve the following:
a) 4x 3= 2x + 7

b) 2x+6= 7x14

Answers

Correct question : 4x - 3 = 2x + 7

Solution : 4x - 3 = 2x + 7

[tex]4x - 2x = 7 + 3 \\ \\ 2x = 10 \\ \\ x = \frac{10}{2} \\ \\ x = 5.[/tex]

•••••••••••••••••••••••••••••••••••••••

Correct Question : 2x + 6 = 7x - 14

Solution : 2x + 6 = 7x - 14

[tex]2x - 7x = - 14 - 6 \\ \\ - 5x = - 20 \\ \\ x = \frac{20}{5} \\ \\ x = 4.[/tex]

(x+y)(x+6y) pls help me solve question pls and pls also give explanation if possible

Answers

Step-by-step explanation:

[tex] = (x + y)(x + 6y)[/tex]

[tex] = x \times x + x \times 6y + y \times x + y \times 6y[/tex]

[tex] = {x}^{2} + 6xy + xy + 6 {y}^{2} [/tex]

[tex] = {x}^{2} + 7xy + 6 {y}^{2} [/tex]

Shreya and Shanice are selling pies for a
school fundraiser. Customers can buy
blueberry pies and lemon meringue pies.
Shreya sold 4 blueberry pies and 2 lemon
meringue pies for a total of $76. Shanice
sold 4 blueberry pies and 13 lemon
meringue pies for a total of $230. What is
the cost each of one blueberry pie and
one lemon meringue pie?

Answers

Answer:

$26

Step-by-step explanation:

Let blueberry pies = x and lemon pies = y.

4x + 13y = 230

4x + 2y = 76

Using elimination, we see that 11y = 154. Therefore, y = 14.

4x + 2(14) = 76

4x + 28 = 76

4x = 48

x = 12

x + y = 12 + 14 = 26.

$26 is your answer.

Answer:

Step-by-step explanation:

Let B be the price of a blueberry pie.  Let L be the price of a lemon meringue pie.

We are told that Shreya makes a total of $76 by selling 4 blueberry and 2 lemon meringue pies.  This can be made into an equation:

Shreya:  4B + 2L = $76

We also learn that Shanice is doing particularly well:

Shanice:  4B + 13L = $320

We want to determine the prices for each type of pie, B and L.  We have two equations and two unknowns.  That means we should be able to find the answers by substitution.

Rearrange Shreya's equation to isolate B:

Shreya:  4B + 2L = $76

               4B   = $76 - 2L

                 B = ($76-2L)/4

Now use this definition of B in Shanice's equation:

Shanice:  4B + 13L = $320

                4( ($76-2L)/4) + 13L = $320

                     ($76-2L) + 13L = $320

            11L = 244

                L = $22.18

Use L = $22.18 in either equation and solve for B:

4B + 2L = $76

4B + 2*($22.18) = $76

4B = $31.64

B = $7.91

---

Blueberry pies are $7.91 each.

Lemon meringue pies are $22.18 each

=========

CHECK:  Do these prices provide the correct sales for each person?

            Price($/pie)        Shreya     Shanice

Blueberry          7.91               4            4

Lemon Mer.    22.18                2           13

Blueberry Sales ($)                    31.64        31.64

Lemon Mer. Sales ($)               44.3       288.36

Total Sales                              $76        $320

YES - These prices account for each person's sales.

I'm gonna need so help​

Answers

Answer:

-4 and -6 are the answers

Other Questions
Given that 2x^2-5 = a(x+2)^2 _ b(x+1)+x for all values of X, find the value of a, of b and of c 3. What mathematical symbol is appropriate to use given theword?4. What word is appropriate to use given the symbol? modern observations have shown that the geometry of the universe is ____. please help!!!!picture below In an article about foods that have a lot of vitamin C, which image would connect most with the text?A. A picture of someone drinking orange juiceB. A picture of a big vitamin that has "C" written on itOC. A picture of someone eating an orangeD. A picture of all the fruits and vegetables that have a lot of vitaminC What wrong of "old nepal" does the poet wants to amend? Explain . Software that functions as an electronic version of a filing cabinet? The graph shows the function f(x).On a coordinate plane, a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).Which equation represents f(x)?f(x) = Negative RootIndex 3 StartRoot x EndRootf(x) = Negative RootIndex 3 StartRoot x minus 1 EndRootf(x) = Negative RootIndex 3 StartRoot negative x EndRoot minus 1f(x) = Negative RootIndex 3 StartRoot negative x EndRoot in which area of the galaxy would you find stars with fairly circular orbits about the galactic center? Please help!!! Thanks so much Which expression could help you find the distancebetween (10, 4) and (-6, 4)?O [10] +1-41O 1101 +141O 1-61 +141O |10| +-61 Clara y Juan ______en San Jos , Costa Rica .a)viveb)vivimosc)vivend)vivo What is 2/5 divided by 4/7 equal too _______ uses a rigid or flexible scope, which is inserted through the urethra and advanced into the renal pelvis and ureter. - REARRANGE EQUATIONS PLEASE HELP ITS DUE IN TOMORROW In The Code Book, what evidence does the author primarily use to support his claim that Zimmermann was the first to make a simple encryption product?factsquotesstatisticshypotheticals find the area of the shaded portion in each of the following which part of the body contains enyzmes that break down protein Hydrogen fusion in the Sun requires a temperature (in Kelvin) of Group of answer choices any temperature, as long as gravity is strong enough. millions of degrees. billions of degrees. thousands of degrees.