Given that the quadrilateral QRST is a parallelogram, m∠S = 6x + 6 and m∠R =3x + 24, what is the measurement of ∠S?

Given That The Quadrilateral QRST Is A Parallelogram, MS = 6x + 6 And MR =3x + 24, What Is The Measurement

Answers

Answer 1

Answer:

42°

Step-by-step explanation:

→ Since this quadrilateral is a parallelogram, ∠S is equal to ∠R. Let's represent the situation in terms of equations

6x + 6 = 3x + 24

→ Minus 3x from both sides to collect the 'x' terms

3x + 6 = 24

→ Minus 6 from both sides isolate 3x

3x = 18

→ Divide by 3 on both sides isolate x

x = 6

⇒ The value of x is 6, but this isn't the measurement of ∠S, we need to substitute in x = 6 into the expression 6x + 6

6 (6) + 6 ⇔ 36 + 6 = 42°

Answer 2

m<S= 42°

Step-by-step explanation:

6x + 6 = 3x + 24

-6 -6

6x= 3x + 18

-3x -3x

3x = 18

[tex] \frac{3x}{3x} = \frac{18}{3x} [/tex]

x= 6

m<S= 6x + 6

m<S= 6(6) + 6

m<S= 42°


Related Questions

It takes 464646 minutes for 101010 people to paint 333 walls. How many minutes does it take 444 people to paint 666 wallsIt takes 464646 minutes for 101010 people to paint 333 walls. How many minutes does it take 444 people to paint 666 walls?

Answers

Answer:Answer:  It takes 4 person 230 mins to paint 6 walls

Step-by-step explanation:

10 people : 46 mins : 3 walls

--------------------------------------------------------------------------------------

Find the number of people needed to paint 6 walls

--------------------------------------------------------------------------------------

(10 x 2) people : 46 mins : (3 x 2) walls

       20 people : 46 mins : 6 walls

⇒ It takes 20 people 46 mins to paint 6 walls.

--------------------------------------------------------------------------------------

Find amount of time to paint all 6 wall by 1 person

--------------------------------------------------------------------------------------

(20 ÷ 20) people : (46 x 20) mins : 6 walls

             1 person :     920 mins     : 6 walls

⇒It takes 1 person 920 mins to paint 6 walls

--------------------------------------------------------------------------------------

Find the amount of time to paint 6 walls by 4 people

--------------------------------------------------------------------------------------

(1x 4) person :     (920 ÷ 4) mins     : 6 walls

       4 person :        230 mins         : 6 walls

⇒ It takes 4 person 230 mins to paint 6 walls

--------------------------------------------------------------------------------------

Answer:  It takes 4 person 230 mins to paint 6 walls

--------------------------------------------------------------------------------------

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

                   ✌ -ZYLYNN JADE ARDENNE

Question 14. A carousel makes one complete revolution every 75 seconds. Levi sits on the carousel 4 feet from its center. If the length of a carousel ride is 5 minutes, how many feet did Levi travel? E. 4 F. 16 G. 8π H. 32π

Answers

Answer:

The correct option is;

H. 32·π

Step-by-step explanation:

The given information are;

The time duration for one complete revolution = 75 seconds

The distance from the center of the carousel where Levi sits = 4 feet

The time length of a carousel ride = 5 minutes

Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)

n = (5 minutes)/(75 seconds) = (5×60 seconds/minute)/(75 seconds)

n = (300 s)/(75 s) = 4  

The number of complete revolutions - 4

The distance of 4 complete turns from where Levi seats = 4 ×circumference of circle of Levi's motion

∴ The distance of 4 complete turns from where Levi seats = 4 × 2 × π × 4 = 32·π.

(2.5×2.0)-4.3 please slove this question and how to explain ​

Answers

First multiply what is inside the brackets.
(2.5x2.0) -4.3
Then subtract
5 - 4.3 = 0.7

Answer:

0.7

Step-by-step explanation:

multiply 2.5 by 2 first

5-4.3=0.7

pls I need help i don't understand this question it's confusing

Answers

Answer:

54

Step-by-step explanation:

10m +n^2 /4

= 10*5 + 4^2 /4

= 50 + 16/4

= 50 + 4

= 54

Answer:

54

Step-by-step explanation:

I WILL GIVE BRAINLIEST AND THANKS SOLVE THE QUADRATIC EQUATION

Answers

Answer:

x = -0.907, 2.57

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

Since we are given a = 3, b = -5, and c = -7 from our quadratic, we simply use the Quadratic Formula:

Step 1: Plug in variables

[tex]x=\frac{-(-5)+/-\sqrt{(-5)^2-4(3)(-7)} }{2(3)}[/tex]

Step 2: Solve

[tex]x=\frac{5+/-\sqrt{25+ 84} }{6}[/tex]

[tex]x=\frac{5+/-\sqrt{109} }{6}[/tex]

Step 3: Evaluate for decimals

You should get x = -0.906718 and 2.57338 as your answers.

Answer:

x = 2.57338441, − 0.90671775

Step-by-step explanation:

x = 5 ±√109/2 x 3

Times 2 by 3

x = 5 ± √109/6

x = 5 ± √109/6

x = 5 + √109/6

x = 5 ± √109/6

x = 5 - √109/6

x = 5 + √109/6, 5 - √109/6

x = 2.57338441, − 0.90671775

Please answer this in two minutes

Answers

Answer:

469.4ft²

Step-by-step explanation:

We have ∆ WXY in the above question,

From which we have obtained the following values

Angle W = 27°

Angle X = ?

Angle Y = 40°

Side w =?

Side x = ?

Side y = 38ft

Area of the triangle= ?

Step 1

We find Angle X

We know that the Sum of angles in a triangle = 180°

In the question above, we are given 2 angles

Hence,

Angle X = 180 - ( Angle W + Angle Y)

= 180° - (27 + 40)°

= 180° - 67°

Angle X = 113°

Step 2

Find the sides w and x

We find these sides using the Rule of sines

Rule of Sines =

a/ sin A = b/ Sin B = c/Sin C

Hence for triangle WXY

w/ sin W = x/ sin X = y/ sin Y

We have the following values

Angle W = 27°

Angle X = 113°

Angle Y = 40°

We are given side y = 38ft

Determining side w

w/ sin W= y/ sin Y

w/sin 27 = 38/sin 40

Cross Multiply

sin 27 × 38 = w × sin 40

w = sin 27 × 38/sin 40

w = 26.83879ft

w = 26.84ft

Determining side x

w/ sin W = x/ sin X

26.84/ sin 27 = x/sin 113

Cross Multiply

sin 113 × 26.84 = x × sin 27

x = sin 113 × 26.84/sin 27

x = 54.42041ft

x = 54.42ft

To find the area of triangle WXY

We apply the use of heron formula

= √s(s - w) (s - x) (s - y)

Where S = w + x + y/ 2

s = (38 + 26.84 + 54.42)/2

s = 59.63

Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)

Area of the triangle = √ 220343.61423

Area of the triangle = 469.40772706541ft²

Hence, Approximately to the nearest tenth =469.4yd²

Determine whether these two functions are inverses. Show your work please. f(x)= 1/x+4-9; g(x)=1/3x+9

Answers

Answer:  No they are not inverses.

Step-by-step explanation:

If they are inverses,  then the inverse of f(x) will equal g(x).

[tex]y=\dfrac{1}{x+4}-9\\\\\\\text{Swap the x's and y's:}\\x=\dfrac{1}{y+4}-9\\\\\\\text{Solve for y:}\\x+9=\dfrac{1}{y+4}\\\\y+4=\dfrac{1}{x+9}\\\\y=\dfrac{1}{x+9}-4[/tex]

f⁻¹(x) ≠ g(x) so they are not inverses

PLEASE PLEASE HELP ME A pinecone drops from a tree branch that is 36 feet above the ground. The function h = -16t2 + 36 is used. If the height h of the pinecone is in feet after t seconds, at about what time does the pinecone hit the ground? Could 2 seconds be a reasonable answer to this model?

Answers

Answer:

T = 1.5s

Step-by-step explanation:

Hello,

To find the time the pincone hits the ground, we need to use the equation given.

Note that h = 0 when the pinecones hits the ground.

This question relates to motion under gravity.

h = -16t² + 36

0 = -16t² + 36

Make t² the subject of formula

16t² = 36

t² = 36 / 16

t² = 2.25

Take the square root of both sides

t = √(2.25)

t = 1.5s

The time it takes the pinecone to hit the ground is 1.5s.

What is the solution to x + 7 = 23?
3 of 12 QUESTIONS
X= 14
X=7
X = 30
X = 16
SUBMIT​

Answers

Answer:

x=16

Step-by-step explanation:

x+7=23

23-7=x

x=16

Do you find this with synthetic and long divison?

Answers

Answer:

p=-2

Step-by-step explanation:

we can solve by both methods

if it is divisible by x-1,then remainder is zero.

i solve by synthetic division.

x-1=0,x=1

1 |  1 -1  p  2

 |      1  0  p

_________

   1   0  p |2+p

Here 2+p is remainder.

p+2=0

p=-2

Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like to buy souvenir
bracelets, which are $3.25 each. All prices include taxes.
Which inequality can be used to solve for how many bracelets Omar can buy?
OA.
3.25x + 13.50 < 40
O B.
3.25x + 13.50 > 40
OC.
13.50X+3.25 < 40
OD
13.50x + 3.25 2 40​

Answers

Answer:

The answer is A- 3.25x + 13.50 < 40

Answer:

13.50X+3.25 < 40

Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5

Answers

C) Step 3 is wrong because the subtraction property of equality was used incorrectly.

I just took the quiz on edge

Answer:

its c

Step-by-step explanation:

i did the test on edge

Which of the following is the complete factorization of the polynomial below? x^3-5x^2+2x+8

Answers

Answer:

(x+1)(x-4)(x-2)

Step-by-step explanation:

The price of a technology stock was $9.77 yesterday. Today, the price fell to $9.70 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

There would be a 0.71% decrease, rounded to the nearest tenth of a percent would be a 0.7% decrease. :)

Use De Morgan's laws to write negations for the statement. Sam is an orange belt and Kate is a red belt.
A. Sam is an orange belt or Kate a red belt.
B. Sam is not a red belt and Kate is not an orange belt.
C. Sam is not an orange belt and Kate is not a red belt.
D. Sam is not a red belt or Kate is not an orange belt.
E. Sam is not an orange belt or Kate is not a red belt.

Answers

Answer:

C. Same is not an orange belt and Kate is not a red belt.

Step-by-step explanation:

The negation for the statement is Sam is not an orange belt or Kate is not a red belt.

What is Negation of De- Morgan's Law?

The negation of a conjunction is equivalent to the disjunction of the negation of the statements making up the conjunction. To negate an “and” statement, negate each part and change the “and” to “or”.

Given statement:

Sam is an orange belt and Kate is a red belt.

Now, to make the negation we have to consider the rule "To negate an “and” statement, negate each part and change the “and” to “or”."

So, the negation statement would be

Sam is not an orange belt or Kate is not a red belt.

Learn more about  De Morgan's laws here:

https://brainly.com/question/13317840

#SPJ2

A blueprint for a house has a scale factor n = 10. A wall in the blueprint is 7 in. What is the length of the actual wall?

840 ft.
5.83 in.
70 ft.
5.83 ft.

Answers

Answer:

5.83 ft

Step-by-step explanation:

Given that

Scale factor, n = 10

Wall in blueprint = 7 in

To find:

Length of actual wall = ?

Solution:

Whenever a blueprint is created for any house or building, it is made smaller by a scale factor.

Here this factor is 10 times.

That means, the blueprint size is 10 times smaller than that of its actual size.

Or we can say that actual wall of building is 10 times the wall of blueprint.

So, wall of building = 10 [tex]\times[/tex] 7 = 70 inches

Now, we know that 12 inches = 1 ft

1 inch = [tex]\frac{1}{12}\ ft[/tex]

70 inches = [tex]\frac{1}{12}\times 70\ ft = 5.83\ ft[/tex]

so, the answer is Wall of building is 5.83 ft.

Jessica calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle was it?
E
F
G
H

Answers

Answer:

G

Step-by-step explanation:

We can find a missing length of a triangle using a Pythagorean theorem if and only the triangle is a right angled triangle.

The side of the missing length is:

a^+b^=c^

2^+4^=c^

4+16=c^

20=c^

[tex] \sqrt{20} = c ^{2} \\ 4 \sqrt{5} = c[/tex]

What is (sqrt2+sqrt8+sqrt18+sqrt32) to the second power P.S. not 60

Answers

Answer:

to solve that it gonna be 10 square root of 2 and in decimal form it gonna be 14.14213562

Hope this helps

Step-by-step explanation:

Answer:  200

=====================================

Work Shown:

One approach is to simplify the stuff under the second power exponent. After that simplification, you would then square the result.

[tex]x = \sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\\\\x = \sqrt{2}+\sqrt{4*2}+\sqrt{9*2}+\sqrt{16*2}\\\\x = \sqrt{2}+\sqrt{4}*\sqrt{2}+\sqrt{9}*\sqrt{2}+\sqrt{16}*\sqrt{2}\\\\x = 1\sqrt{2}+2\sqrt{2}+3\sqrt{2}+4\sqrt{2}\\\\x = (1+2+3+4)\sqrt{2}\\\\x = 10\sqrt{2}\\\\x^2 = \left(10\sqrt{2}\right)^2\\\\x^2 = \left(10\sqrt{2}\right)*\left(10\sqrt{2}\right)\\\\x^2 = 10*10\sqrt{2}*\sqrt{2}\\\\x^2 = 100\sqrt{2*2}\\\\x^2 = 100\sqrt{4}\\\\x^2 = 100*2\\\\x^2 = 200\\\\[/tex]

So,

[tex]\left(\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\right)^2 = 200[/tex]

-----------------------------------------------------

Checking the answer:

Using a calculator,

sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32) = 14.142135623731

Then you square that to get (14.142135623731)^2 = 200.000000000001

Your calculator may not have that 1 at the end. It shouldn't be there and it's a result of rounding error. But it's close enough to 200.

Pease help me I was confused

Answers

Answer:

E, 13728

Step-by-step explanation:

You can set up a equation

x=(1-0.12)(15600)

This turns out to be 13728.

HELP ME PLSSSSSSSSSSS ALL MY POINTS

Answers

Answer:

B

Step-by-step explanation:

You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.

Help please... thx if you do

Answers

Answer:

C.

Step-by-step explanation:

y≥-3

{y:y=-3,-2,-1....}

y<0

{y:y=...-3,-2,-1}

When we see the above inequalities they both start from zero and then go toward the negative numbers.

Hope this helps ;)❤❤❤

Let me know if there is an error in my answer!

Find the volume of the figure.

Answers

Answer:

144cm^3

Step-by-step explanation:

A=1/2bh = 1/2 (6)(8)

=24

v=A×H=(24)(6)

=144cm^3

Answer: 144 cm³

Step-by-step explanation:

The volume of a triangular prism can be found by multiplying the area of the base by the prism height.  Thus, first calculate the area of the triangle(1/2*bh): 24.  Then multiply 24*prism height(6) to get 144.

The perimeter of a triangle is 44 inches. If
one side is 5 inches longer than the
smallest side and another side is 1 inch
less than twice the smallest side, how
many inches are there in the smallest side?

Answers

Answer:

The sides are  

6  inches,  8 inches and  10  inches

Explanation:

I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'

Then the shortest side is  

6

and the longest side is  

10

I hope this helps  :)

For each of the following statements about sets A, B, and C, either prove the statement is true or give a counterexample to show that it is false.
a. If A⊆BA⊆B and B⊆CB⊆C, then A⊆CA⊆C.
b. If A∈BA∈B and B⊆CB⊆C, then A⊆CA⊆C.
c. If A∈BA∈B and B⊆CB⊆C, then A∈CA∈C.
d. If A∈BA∈B and B∈CB∈C, then A∈CA∈C.

Answers

Answer:

a. True

b. False

c. True

d. False

Step-by-step explanation:

a. Meaning

as we can see that x is an element of Y

So notation is

[tex]x \in Y[/tex]

Therefore x is the subset of Y if each of an element of X is also an element of Y.

So notation is

[tex]X \subseteq Y[/tex]

2. (a) We need to proof

When [tex]A \subseteq B and B \subseteq C \so A \subseteq C[/tex]

We will say that A, B and C are the set that is [tex]A\subseteq B\ and\ B\subseteq C[/tex]

When A = ∅ then [tex]A\subseteq C[/tex] which shows true, as the set of empty is a subset of each set.

Hence, it is safe to say that A is not the empty set.

Now we will proof directly

Let us say x be an element of A

[tex]x \in A[/tex]

As [tex]A \subseteq B,[/tex] each of the element of A is also an element of B

[tex]x \in B[/tex]

As [tex]B \subseteq C[/tex], each if the element of B is also an element of C

[tex]x \in C[/tex]

Therefore, as we can see that each of an element of A is also known an element of C, that states [tex]A \subseteq C[/tex]

So, the given statement is true, as we conclude with a proof.

(b). We will assume {1}, B = {{1},2} and C = {{1},2,3}

As in the point a, which is an element of B, that is [tex]A \in B[/tex] which is true

As all of the elements in B are also an element in C, [tex]B \subseteq C[/tex] which is also correct.

Although, [tex]A \subseteq C[/tex] is false as 1 is an element of A that is not in C.

(c) We need to proof

When  [tex]A \in B\ and \ B \subseteq C[/tex] then [tex]A \in C[/tex]

Let us assume that A, B and C are the sets that [tex]A\in B\ and\ B \subseteq C[/tex]

As, [tex]A \in B, \which\ is\ an\ element\ of\ the\ set\ B[/tex]

[tex]A\in B[/tex]

As, [tex]B \subseteq C[/tex], each of the element of B is also an element of C

[tex]A\in C[/tex]

So, its true.

(d) We will assume {1}, B = {{1},2} and C = {{1},2,3}

As in the point a, which is an element of B, that is [tex]A \in B[/tex] which is true

As {{1},2} is an element of B, [tex]B \in C[/tex] is correct

Although [tex]A \in C[/tex] is not correct as {1) is not an element in C.

SO the statement is false

The population of a city increase exponentially at a rate of x% every 5 years
In 1960 the population was 60100
In 2015 the population was 120150
Calculate the value of x

Answers

Answer:

1.1460277. Put in your decimal place given to you.

This is the percentage rate.

Step-by-step explanation:

f(x)=0=60100

55=120150

60100=a*b^0

120150/60100=60100/60100*b^5

b^5^(1/5)=5square root(120150/60100)=1.14860277

pleaseeeeee hellppp me pleadeee ​

Answers

Answer:

Mode: 100

Mean: 46.94444...

Median: 29.5

Range: 150

Step-by-step explanation:

Mode: most occurring number: 100

Mean: Plus everything and divide by how many number there is: 845/18=46.94....

Median: The middle number, but you need to line it from smallest to greatest.

0, 0, 0, 1, 3, 4, 5, 12, 29, 30, 40, 50, 100, 100, 100, 100, 121, 150

29 and 30 is in the middle. In this case, you plus 29+30 and divide by 2. =29.5

Range: Largest number-Smallest number. You also need to line it from smallest to largest: 150-0=150

Hope this helps, BRAINLIEST would really help me:)

Based on your work in Question 1 through 3, what is the relationship between the radius, AB , and the tangent line, BC ? What can you conclude about any tangent line to a circle and the radius of the circle? Explain.

Answers

Without further context I can't say much other than the radius is perpendicular to the tangent. In other words, the radius and tangent line form a 90 degree angle. This is one particular radius and its not just any radius. The radius in question must have the point of tangency as its endpoint.

The radius, AB  is perpendicular to the tangent line,  BC  so their slopes are negative reciprocals of one another. Because I generated a circle at random for this activity, this conclusion likely applies to any tangent line to a circle. In other words, the tangent line to any circle is perpendicular to the radius at their point of intersection.

What is the slope of line m?

Answers

Answer:

2.

Step-by-step explanation:

The slope is calculated by doing rise over run.

The rise is: 6 - 0 = 6.

The run is: 0 - (-3) = 0 + 3 = 3.

6 / 3 = 2 / 1 = 2.

Hope this helps!

The roof of a cabin is to be shingles at a cost of $70 of a square ( a square, shingling, is a region with an area of 100 sq. ft.) Find the cost of the shingling the roof shown, assuming the roof is symmetrical

Answers

Answer:

Just multiply 2 by (36*15) which equals 1080

Than divide 1080 by 100

1080/100

Which would give us 10.8 10.8 * 70 = $756.00

So, the answer is $756.00

Step-by-step explanation:

What is the simplified form of y^2+7y+12/y^2-2y-15? Choices:

Answers

Answer:

[tex] \frac{y + 4}{y - 5} [/tex]

Option C is the correct option

Step-by-step explanation:

[tex] \frac{ {y}^{2} + 7y + 12}{ {y}^{2} - 2y - 15 } [/tex]

Write 7y as a sum

[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} - 2y - 15} [/tex]

Write -2y as a difference

[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} + 3y - 5y - 15} [/tex]

Factor out y from the expression

[tex] \frac{y(y + 4) + 3y + 12}{ {y}^{2} + 3y - 5y - 15 } [/tex]

Factor out 3 from the expression

[tex] \frac{y(y + 4) + 3(y + 4)}{ {y}^{2} + 3y - 5y - 15 } [/tex]

factor out y from the expression

[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5y - 15} [/tex]

Factor out -5 from the expression

[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5( y + 3)} [/tex]

factor out y + 4 from the expression

[tex] \frac{(y + 4)(y + 3)}{y(y + 3) - 5(y + 3)} [/tex]

Factor out y + 3 from the expression

[tex] \frac{(y + 4)(y + 3)}{(y + 3)(y - 5)} [/tex]

Reduce the fraction with y + 3

[tex] \frac{y + 4}{y - 5} [/tex]

Hope this helps..

Best regards!!

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Which nations were part of the Triple Alliance? Select the equation that could represent the relationship between f(x) and g(x). Question of 20Which row on the diagram best represents the Maryland Court of SpecialAppeals?MoreauthorityRow ARow BRow CUTILITI TILRow DLessauthority SOMEBODY!!! HEELLLLLLP if you can help me with one question that's fine! Which of the following would be an effective approach for encouraging authentic feedback? A. Defend yourself if you disagree with criticisms you receive. B. In the beginning, ask for feedback each time you see the person. C. Ask for feedback only when you are open to hearing it. D. only in formal situations, so employees understand the importance of the feedback. Is it unlawful to bypass justice court where felony cases are heard and , go directly to district court ? PLS HELP --- what are 3 decisions Jem takes in To kill a mocking bird between chapters 1-11? Rita Gonzales won the $53 million lottery. She is to receive $2.2 million a year for the next 20 years plus an additional lump sum payment of $9 million after 20 years. The discount rate is 12 percent. What is the current value of her winnings You are having a small party and the Pizza driver dropsoff 5 Pizza's. They are all cut into eighths. You alsohave 3 slices left over in your fridge from the nightbefore. Write how much pizza you have as animproper fraction(Remember that an improperfraction has the numerator larger than thedenominator) NEED HELP!!!!!!WILL GIVE BRAINLYIEST!!!!!Read and then choose the option that best answers the question. What formal command would you use with your boss for the verb estornudar? Estornuda Estornude Estornuden Estornudes Based on what you learned about the main elementsin living things, which element do you think forms themain structureof organic molecules?A. Oxygen, because it is the element present inhighest amount in living thingsB. Carbon, because it readily forms long chains andrings Y+15 displacement reaction with example grade 10 Put the steps of storm formation in the correct order.Ice and water droplets fallThe Sun heats theWater vapor condensesWater droplets freeze.Warm air rises into theto the surfacesurfaceupper atmosphere. After reading the paragraph below, answer the question that follows In the North Pacific Ocean, two groups of the same species of killer whales (Orcinus orca) appear to be forming two different species based on what they eat. One group eats fish and the other eats mammals such as seals. Another difference between the two groups is in how they hunt. Whales that hunt fish tend to travel in large pods (groups of whales) and vocalize often. Whales that hunt seals, however, tend to travel in very small groups and vocalize very little. If these hunting differences brought about speciation, the separation would be considered:____________ Find the sum. Express your answer in simplestform. A 2.0-cm length of wire centered on the origin carries a 20-A current directed in the positive y direction. Determine the magnetic field at the point x can someone please help me? Lengths of pregnancies (in humans) have a mean of 267.6 days and a standard deviation of 15.4 days. A woman tracked her pregnancy and found it to be 309 days. Find the z score for 309 days. Is such a length unusual? QUESTION 4 (10 MARKS)A retired couple requires an annual return of $2,000 from investment of $20,000. There are 3options available:(A) Treasury Bills yielding 9%;(B) Corporate bonds 11%;Junk Bonds. 130%How much should be invested in each to achieve their goal? Give 3 sets of options that canachieve their goal.[10 Marks]