Missing value of why worth 20 points pls help

Missing Value Of Why Worth 20 Points Pls Help

Answers

Answer 1

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The value of x, y and z is 90°, 53°, and 100°, respectively.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

In ΔABD is made on the diameter of the circle, therefore, the measure of ∠BAD = 90°. Therefore,

x° = 90°

In ΔAOD, the measure of ∠AOD is 74°, also, the triangle is an isosceles triangle with OA and OD of equal length. Therefore, the sum of the angles can be written as,

y° + y° + 74° = 180°

2y° = 106°

y = 53°

Similarly, ΔBOC is an isosceles triangle with OB and OC having an equal length. Therefore, ∠OBC=∠OCB. Also, the sum of all the angles can be written as,

∠BOC + ∠OBC + ∠OCB = 180°

∠BOC + 40° + 40° = 180°

∠BOC = 100°

Hence, the value of x, y and z is 90°, 53°, and 100°, respectively.

Learn more about Triangle:

https://brainly.com/question/2773823

#SPJ1

Missing Value Of Why Worth 20 Points Pls Help

Related Questions

This graph shows the solution to which inequality?

Answers

The graph shows the solution to inequality is; y > ¹/₃x - 2

How to interpret Inequality Graphs?

From the given graph, we see that the line joining the two dotted coordinates is a dashed line and as such the inequality will be less than or greater than.

Now, If a line passing through two points, then the equation of line is;

y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)

Using the two given coordinates, we have;

y - (-3) = [(-1 - (-3))/(3 - (-3))](x - (-3))

y + 3 = (2/6)(x + 3)

y = ¹/₃x - 2

Since the related line is dashed and the shaded region is above the line, therefore the sign of inequality is >.

The graph shows the solution to inequality is;

y > ¹/₃x - 2

Read more about Inequality Graphs at; https://brainly.com/question/11234618

#SPJ1

Laila guesses on all 20 questions of a multiple-choice test. each question has 4 answer choices. what is the probability of a success and a failure for this experiment? p (success) = one-fourth; p (failure) = three-fourths p (success) = one-fourth; p (failure) = one-half p (success) = three-fourths; p (failure) = one-fourth p (success) = 1; p (failure) = 0

Answers

The probability of a success and a failure is as follows,

P(success) = one - fourth

P(failure) = three - fourth

Definition of Probability

The area of mathematics that deals with numerical representations of the likelihood that an event will occur or that a statement is true is known as Probability. An event's probability is a number between 0 and 1, where, 0  generally denotes the event's impossibility and 1 denotes certainty of that event.

Calculating the Probability

The formula for finding the probability of an event to occur is given by,

P = (favorable outcomes)÷(total number of outcomes)

Now, it is given that each multiple choice question consists of 4 choices.

And, out of these four choices, only one answer is true.

Then, if Laila guesses the answer, the probability of choosing the right answer is given by,

P(success) =1/4

Thus, the probability of choosing the wrong answer will be,

p(failure) = 1 - P(success)

⇒ P(failure) = 1 - (1/4)

⇒ P(failure) = 3/4

Learn more on probability here:

https://brainly.com/question/11234923

#SPJ4

Find the value of X:

Answers

Answer:

15

Step-by-step explanation:

180-150 = 30

30 = 3x-15

45 = 3x

x = 15

Find the Value of -3/7 ÷ 4
please answer fast

Answers

Answer:

Step-by-step explanation:

george drives the first 30 miles of a trip at a constant rate of 40 miles per hour. if he drives the remaining 75 milse of the trip at a constrant rate of 50 miles per hour, what is his average speed for the entire trip

Answers

His average speed for the entire trip is 46.6 mph

We have,

30 miles at 40 mph

time taken at this speed = 30/40 = 3/4 hours

..

75 miles at 50mph

time taken = 75/50 = 3/2 hours

Total time taken = 3/4 +3/2 hours=3+6 /4

=9/4 hours

Total distance traveled = 30+75 = 105 miles

Average speed = 105/ 9/4

=105*4/9

46.6 mph is the average speed.

Learn more about average Speed:

https://brainly.com/question/11753352

#SPJ4

Evaluate each polynomial when a=3, b=5 , c=10.
1. 10a - 15
2. -5b^3 +7b+10
3. 6abc+ 4a^2

Answers

Answer:

15; -580; 936

Step-by-step explanation:

1. 10a-15=10*3-15=15

2. -5b^3+7b+10=-5*5^3+7*5+10=-580

3. 6abc+4a^2=6*3*5*10+4*3^2=936

I’m a football game the home team scored 2 times as many points as the visiting team, if the game ended with a total of 21 points. How many points did the visiting team score?

Answers

the visiting team scored ten points

The graph above is a transformation of the function x2 Write an equation for the function graphed above

Answers

Answer: y=0,5x²-x-1,5.

Step-by-step explanation:

[tex](-1;0)\ \ \ \ (3;0)\ \ \ \ (1;-2) \ \ \ \ y=ax^2+bx+c\ ?\\\left\{\begin{array}{ccc}a*(-1)^2+b*(-1)+c=0\\a*3^2+b*3+c=0\\a*1^2+b*1+c=-2\end{array}\right \ \ \ \ \ \left\{\begin{array}{ccc}a-b+c=0\ \ (1)\\9a+3b+c=0\ (2)\\a+b+c=-2\ (3)\end{array}\right \\[/tex]

We summarize (1) and (3):

[tex]2a+2c=-2\ |:2\\a+c=-1\ \ \ \ \Rightarrow\\a+b+c=-2\\(a+s)+b=-2\\-1+b=-2\\b=-1.[/tex]

Substitute b=-1 into (2):

[tex]9a+3*(-1)+c=0\\9a-3+c=0\\9a+c=3\ \ (5).\\[/tex]

From (5) subtract (4):

[tex]8a=4\ |:8\\a=0,5.\ \ \ \ \Rightarrow\\[/tex]

Substitute a=0,5 into (4):

[tex]0,5+c=-1\\c=-1,5.[/tex]

Hense:

y=0,5x²-x-1,5.

URGENT NEED ANSWER NOWWWW!!! WORTH 27 POINTS!!!

Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive.

A. 9+x=108
B. x=108-9
C. x=108/9
D. x=9/8

Answers

The equation that shoes the pieces of candy each kid would receive is x = 108 / 9.

How many pieces of candy would each kid receive?

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

Candy each kid would get = total number of candy / total number of kids

x = 108/9

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ1

what is slope of line graped below?

Answers

The slope of the line is 1

to find the slope its rise (y value)/run (x value); the equation is

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

plugging the values from the graph into the equation:

[tex] \frac{4 - 2}{4 - 2} [/tex]

which simplifies to simply 1

HELP PLEASE. 3(2x+3)=15​

Answers

If you are  solving for X then we have to do a few process

What you would want most is to remove the parentheses, so to do that i would use distributive property

3*2x is 6x and 3*3 is 9  so our new equation will look like

6x+9=15 if you don't understand please tell me

now we must bring the 9 over

If you bring the 9 over than it would become negative

6x=15-9

so 6x=6

and now you can solve the answer is x=1

Answer:

The solution is x = 1

Step-by-step explanation:

3(2x+3) = 15

6x+9 = 15

6x = 15-9

6x = 6

x = 6/6

x = 1

help please!

| 2x^2 + 5x + 3 | > 0
solve the inequality

Answers

Factorize the quadratic.

[tex]2x^2 + 5x + 3 = (2x + 3) (x + 1)[/tex]

We have [tex]|ab| = |a||b|[/tex], so

[tex]|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0[/tex]

Now, both [tex]|2x+3|\ge0[/tex] and [tex]|x+1|\ge0[/tex] (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

[tex](2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1[/tex]

So the solution to the inequality is the set

[tex]\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}[/tex]

A store sells cards on each of which there are drawing of different flowers: either roses, either daisies, either tulips, either sunflowers. Each card also has a message "happy birthday!", Happy Holidays". Or "happy anniversary!". What is the greatest possible amount of different cards that this store sells?

Answers

The greatest number of different cards based on the permutations is 144.

How to compute the value?

From the information given, there are 4 versions which are either roses, daisies, tulips, or sunflowers and this is further divided into either Happy birthday, anniversary, or holidays.

Therefore, the greatest number of different cards will be:

= 4! × 3!

= 24 × 6

= 144

Learn more about permutations on:

brainly.com/question/4658834

#SPJ1

Solve each triangle – find any missing side and angle measures. Round answers to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Things we already know:

Angle B = 56 degrees

Angle C = 90 degrees

Side CB = 7 units

We need to find angle A and sides AC and AB.

We know that every triangle has its angles equal to 180 degrees

angle A + B + C = 180 degrees

angle A + 56 + 90 = 180 degrees

angle A + 146 = 180 degrees

subtract 146 from both sides.

angle A = 34 degrees

Now we know angle A.

To find side AC, we can use the tangent of theta.

The hyp (hypothenuse) = AB

The adjacent side = CB

And the opposite side = AC

The tangent of theta is the opposite side divided by the adjacent side.

[tex]tan(56) = \frac{AC}{7}[/tex]

Now we just need to solve for AC.

multiply 7 on both sides, to cancel it out on the right side.

7tan(56) = AC

10.3 = AC

Now we know the side AC.

AC = 10.3 units

To find the hypothenuse, we can use the sine, cosine, or the Pythagorean theorem.

I will choose the Pythagorean theorem, though.

[tex]7^{2} +10.3^{2} =AB[/tex]^2

49 +106.09 = AB^2

AB = 155.09 units^2

AB = 12.4 units

And now we know everything about this triangle.

A = 34 degrees

C = 90 degrees

B = 56 degrees

AC = 10.3 units

CB = 7 units

AB = 12.4 units

Hope I Helped!

(a) Work out
8 × 1/1/1
x
3
Give your answer as a mixed numbers

Answers

Answer:

well.. 1/1/1 would be 1.

8 x 3 = 24

24x 1 = 24

sooo the answer would be 24...

Step-by-step explanation:

The product of the given expression 8 × 1/1/1 x 3 would be equal to 24.

What are proper and improper fractions and how to convert mixed fraction to simple fraction?

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

We know that 1/1/1 would be 1.

So,

8 x 3 = 24

24x 1 = 24

Thus, the answer would be 24.

Learn more about fraction of a quantity here:

https://brainly.com/question/22284829

#SPJ5

Solve the proportion.
3/6 = 7/d

Answers

To solve this proportion:

[tex]\frac{3}{6} =\frac{7}{d}[/tex]

Simplify 3/6, it reduces to 1/2

[tex]\frac{1}{2} =\frac{7}{d}[/tex]

Then do the Criss cross method

1d = 7 ×2

d=14

Hope it helps!

Answer:

d = 14

Step-by-step explanation:

We can use cross products to solve the proportion

3/6 = 7/d

3*d = 7*6

3d = 42

Divide each side by 3

3d/3 = 42/3

d = 14

help please!!! need it asap
no wrong answers

Answers

Displacement at t = 0 :

x = 4 cos(π (0) + π/4)x = 4 cos(π/4)x = 4 × 1/√2x = 2√2 meters

Displacement at t = 1 :

x = 4 cos (π (1) + π/4)x = 4 cos (π + π/4)x = -4 cos(π/4) [∴ cos is negative in the interval (π, 3π/2)x = -4 × 1/√2x = -2√2 meters

Displacement between t = 0 and t = 1 :

-2√2 - 2√2[tex]\boxed {-4\sqrt{2}}[/tex]

∴ The displacement between t = 0 and t = 1 is -4√2 meters.

Answer:

[tex]-4\sqrt{2} m[/tex]

Step-by-step explanation:

Similar question to the previous one you asked, and I swear I will not make the same mistake again :)

First we will find the displacement at t = 0 and t = 1 to find both displacements.

t = 0,

[tex]x(0)=4cos(\pi (0)+\frac{\pi }{4} )=4cos(\frac{\pi }{4} )\\=4(\frac{\sqrt{2} }{2} )\\=2\sqrt{2} m[/tex]

t = 1,

[tex]x(1)=4cos(\pi (1)+\frac{\pi }{4} )=4cos(\pi +\frac{\pi }{4} )\\=4(-\frac{1}{\sqrt{2} } )\\=-\frac{4}{\sqrt{2} }[/tex]

Total Displacement = Final Position - Initial Position

= x(1) - x(0)

= [tex]-\frac{4}{\sqrt{2} } -2\sqrt{2} \\=-4\sqrt{2} m[/tex]


Add: -8x8+ (-3x8 + 3)

Answers

Answer:

-11x^8 + 3

Step-by-step explanation:

-8x^8 + (-3x^8 + 3)

-8x^8 - 3x^8 + 3

-11x^8 + 3

-8x8+(-3x8+3)=
-64+(-24+3)=
-64+(-21)=
-85

Answer: -85

How many square meters are there in a floor that is 9 meters long by 14 meters wide?

Answers

Answer:

126 sq. meters

Step-by-step explanation:

A = lw

= 9(14)

= 126 sq. meter

Select the correct answer. What are the zeros of the graphed function? A polynomial function graph where the solid line intersects X-axis on origin (0, 0), (2, 0) and (4, 0). The same line intersects Y-axis at (0.5, 4) and (3.5, 4) A. 0 and 4 B. -4, -2, and 0 C. 0, 2, and 4 D. -4 and 0

Answers

Considering the situation described, the zeros of the function are given by:

C. 0, 2, and 4.

What are the zeros of a function f(x)?

The zeros of a function are the values of x when f(x) = 0, and can also be described as the values of x for which the line intersects the x-axis.

In this problem, the line intersects the x-axis at x = 0, x = 2, and x = 4, hence option C is correct.

More can be learned about the zeros of a function at https://brainly.com/question/446160

#SPJ1

Can someone help me? It’s 7th grade geometry

Answers

The area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

Calculating the area of a sector

From the question, we are to determine the area of the shaded quarter of the circle

The shaded quarter of the circle is a sector.

The area of a circle is given by the formula,

[tex]A = \frac{\theta}{360^\circ}\times \pi r^{2}[/tex]

Where A is the area

θ is the angle subtended

and r is the radius

First, we will calculate the radius of the circle

The radius of the circle equals the length of a side of the square.

From the given information,

Area of the square = 4 cm²

∴ s² = 4 cm²

s =√4 cm²

s = 2 cm

∴ A side of the square is 2 cm in length

Thus,

r = 2 cm

and

θ = 90°

Then,

[tex]A = \frac{90^\circ}{360^\circ}\times \pi \times 2^{2}[/tex]

[tex]A = \frac{1}{4}\times \pi \times4[/tex]

[tex]A = \pi \ cm^{2}[/tex] OR 3.14 cm²

Hence, the area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

Learn more on Calculating the area of a sector here: https://brainly.com/question/3539709

#SPJ1

The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

What are the coordinates of P'?
P’(1, 2)
P'(1, 1)
P'(1, –3)
P'(4, 4)

Answers

The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

How to determined a resulting point by translation

In this question we need to determine the new location of a point by using a translation formula. Translations are rigid transformations in which a point is translated on a Cartesian plane. We have the following formula:

P'(x, y) = P(x, y) + (- 5, - 2)     (1)

Where:

P(x, y) - Original pointP'(x, y) - Resulting point

If we know that P(x, y) = (6, - 1), then the resulting point is:

P'(x, y) = (6, - 1) + (- 5, - 2)

P'(x, y) = (1, - 3)

The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

To learn more on translations: https://brainly.com/question/17152175

#SPJ1

Answer:

c

Step-by-step explanation:

Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x² + 3x-5=0
A. x = 1
B. x=-1
C.
D. x==2
E.
F.
x==2
X
=
+√8
x = 3-1
SUBMIT

Answers

Step-by-step explanation:

[tex]therefore \: x = 1[/tex]

The roots of the quadratic equation 2x² + 3x - 5 = 0 are  [tex]\frac{-5}{2}[/tex] and 1.

A quadratic equation is an equation of the form ax² + bx + c = 0. It is a polynomial with degree 2. In this equation, a is the coefficient of x², b is the coefficient of x, and c is the constant term.

The given quadratic equation is 2x² + 3x - 5 = 0.

Use the quadratic formula, also known as the Shreedharachrya formula to find the roots of the given equation:

[tex]x = \dfrac{-b\ \pm\ \sqrt{b^2-4ac}}{2a}[/tex]

  [tex]= \dfrac{-3\ \pm\ \sqrt{3^2-4\times2\times(-5)}}{2\times 2}\\= \dfrac{-3\ \pm\ \sqrt{9+40}}{4}\\\\= \dfrac{-3\ \pm\ \sqrt{49}}{4}\\= \dfrac{-3\ \pm\ 7}{4}[/tex]

[tex]x = \dfrac{-3-7}{4}[/tex] or [tex]x = \dfrac{-3+7}{4}[/tex]

[tex]x = \dfrac{-10}{4}[/tex] or [tex]x = \dfrac{4}{4}[/tex]

[tex]x = \dfrac{-5}{2}[/tex] or [tex]x = 1[/tex].

Hence, the roots of the given quadratic equation are [tex]\frac{-5}{2}[/tex] and 1.

Learn more about Quadratic Equation here:

https://brainly.com/question/30098550

#SPJ7

Do all these angles equal 360 degrees?

Answers

Answer:

The sum of the interior angles of any quadrilateral is 360 °

Step-by-step explanation:

Do all these angles equal 360 degrees?

The sum of the interior angles of any quadrilateral is 360 °

what would not be a step in solving 18=2(4+x)

Answers

Step-by-step explanation

Well you gave no answer choices so here are the steps and maybe you can just find out which one isn't here :)

18=2(4+x) first multiply 2 into 4+x

18=8+2x then subtract 8 from the other side

10=2x divide both sides by 2

x=5

Best of luck <3

Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
334. (9c − 2d)(9c + 2d)

Answers

Answer:

The product is the difference of squares is [tex]$$(9c-2d)(9c+2d)=81{{c}^2}-4{{d}^2}$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (9c-2d)(9c+2d).We have to multiply the given expression.Square the first term 9c. Square the last term 2d.

[tex]$$\begin{aligned}&(9 c-2 d)(9 c+2 d)=(9 c)^{2}-(2 d)^{2} \\&(9 c-2 d)(9 c+2 d)=81 c^{2}-4 d^{2}\end{aligned}$$[/tex]

9 out of 20 students who graduate from J. H. S. of 1,2000 students gained admission to S. H. S. How many students gained admission?

Answers

540 students gained admission

How to determine the number of students?

The given parameters are:

Students = 1200

Proportion that gain admission. p = 9/20

The number of student that gain admission is calculated as:

Admission = p * Students

So, we have:

Admission= 9/20 * 1200

Evaluate

Admission= 540

Hence, 540 students gained admission

Read more about proportion at:

https://brainly.com/question/1781657

#SPJ1

I NEED THIS FAST! :(

What was the original price of the sneakers?

Answers

Answer:

n=45

Step-by-step explanation:

[tex]n=\dfrac{54.100}{120} \\\\n=45[/tex]

Which equation represents a line that passes through (–2, 4) and has a slope of 2/5

Answers

Equation of a line is given by y - y1 = m(x - x1); where m is the slope.

y - 4 = 2/5 (x - (-2))

y - 4 = 2/5 (x + 2)

Hope this helps! :)

Answer:

Step-by-step explanation:

y = 2/5x + p

We now that passes through (–2, 4)

 2/5 × (-2) + p = 4

⇔ -4/5 + p = 4

⇔ p = 4 + 4/5

⇔ p = 20/5 + 4/5

p = 24/5

⇒ y = 2/5x + 24/5

Let a, b, and c be positive integers that form a geometric sequence. Given that a has 3 factors and c has 9 factors, how many factors can b have, at most?
Answer choices: 14, 9, 6, 8, 10.
DO NOT ATTEMPT IF YOUR NOT 98% SURE

Answers

Answer:

9

Step-by-step explanation:

it’s clear that a ,b and c are in geometric progression.

Then we have :

a

b = q×a

c = q²×a

also , b² = a×c

………………………

NOTE : b² and b have the same factors

also ,since b² = a×c then b and a×c

have the same number of factors.

_______________________________

Since c = q²×a then any factor of a is also a factor of c

Which means the number of factors of a×c

is equal to the number of factors of c.

Therefore b at most has the same number of factors as c.

Conclusion:

at most b has 9 factors.

……………………

As a side note :

You can take as example the numbers 3 , 30 , 300.

3 ——-> 1 factor

30 = 3×5×2 ——-> 3 factors

300 = 3 × 5² × 2² ——-> 3 factors

Other Questions
Given a sample variance of 6, what is the approximate sample standard deviation? In Initiation, one example of a character vs. self conflict is when Millicent Solve the triangle. Round your answers to the nearest tenth Read and choose the correct option.Buenas tardes, amigos. Mi nombre es Susana y vivo en Madrid, Espaa. Mi mam viaja mucho por el mundo y me gusta ir con ella. Me gusta el pas de Colombia porque es grande y me gusta pedir la bandeja paisa en el restaurante. La bandeja paisa cuesta veinte pesos. Tambin me gusta viajar a Guatemala. En Guatemala siempre compro mucha ropa. Yo pago noventa quetzales por un vestido en Guatemala. Cuando viajo a Honduras, yo compro la gorra. Una gorra en Honduras cuesta treinta lempiras.What is the main idea? Susana and her mom travel and shop. Susana and her mom shop in their country. Susana and her mom carry lots of money. Susana always gets presents from her mom. Question 9 of 25Which of the sequences is an arithmetic sequence?OA. -3, -10,-17, -24, -31, ...OB. 3, 6, 9, 15, 24,...OC. 1, -2, 3, 4, 5, ...OD. 1, 8, 16, 24, 32, ... How many pages should the manufacturer advertise for each cartridge if it wants to be correct 99% of the time __________ begins to happen when schools exceed enrollment of 1,200 students. It increases the likelihood of engaging in risky behaviors, such as drug use, violence, and early sexual activity. Smaller schools and smaller classes create a(n) _________ that can improve performance. Read the following excerpt from Mark Twains The Adventures of Huckleberry Finn and answer the question.Two or three days and nights went by; I reckon I might say they swum by, they slid along so quiet and smooth and lovely. Here is the way we put in the time. It was a monstrous big river down there--sometimes a mile and a half wide; we run nights, and laid up and hid day-times. () Then we set out the lines. Next we slid into the river and had a swim, so as to freshen up and cool off; then we set down on the sandy bottom where the water was about knee deep, and watched the daylight come. Not a sound anywheres--perfectly still--just like the whole world was asleep, only sometimes the bull-frogs a-cluttering, maybe.Which of the following best describes the style of this excerpt?informalemotivedetachedornate HELP PLEASE If in response to an increase in investment of $5 billion, equilibrium output rises by a total of $20 billion, then the marginal propensity to consume isA) .8B) .75C) .7D) .6E) .85 TUSCBSTwo similar triangles. Triangle TUS is similar to triangle CBS. Segment BU and segment CT pass through point S. Side TU and side BC are horizontal. Side BS has a length of 8 point 5. Side CS has a length of 7 point 5. Side US has a length of 42 point 5. The length of side TS is unknown, and is labeled x.What is the value of x?Enter your answer as a decimal in the box.x = In the figure below AOD is a diameter of the circle cetre O. BC is a chord parallel to AD. FE is a tangent to the circle. OF bisects angle COD. Angle BCE = angle COE = 20 BC cuts OE at X Calculate; (a) angle BOE (b) angle BEC (c) angle CEF (d) angle OXC (e) angle OFE What is thirty six times thirty eight divided by three Jumping up is the work against gravity. A researcher surveyed 67 business majors My teacher asked me about my Career goal, what should I say? I dont have any goals or dreams Can I say my career goal is find my interest? What are m and b in the linear equation y = 28x + 8? What information can historians learn by studying relative chronology? a. the exact date, and possibly time, an event took place b. how people at an event are related to one another c. how people solved problems in the past d. the time an event took place in relation to other events Read the excerpt from "Choice: A Tribute to Dr. Martin Luther King, Jr. by Alice Walker.But add to all of these things the one thing that seems to me second to none in importance: He gave us back our heritage. He gave us back our homeland; the bones and dust of our ancestors, who may now sleep within our caring and our hearing. He gave us the blueness of the Georgia sky in autumn as in summer; the colors of the Southern winter as well as glimpses of the green of vacation-time spring. Those of our relatives we used to invite for a visit we now can ask to stay. . . . He gave us full-time use of our own woods, and restored our memories to those of us who were forced to run away, as realities we might each day enjoy and leave for our children.What does Walker emphasize with the metaphor in this excerpt?how King struggled to achieve his goal how little society has changed over timethe progress that has been made because of Kingthe work that has yet to be done in the fight for equality Can someone help me. What number is it can anyone help? To use the two sample t procedure to perform a significance test on the difference of two means, we assume: