can someone please solve this crossword puzzle of proofs for me?

Can Someone Please Solve This Crossword Puzzle Of Proofs For Me?

Answers

Answer 1

Answers:

Across:

BisectsGivenABDAngle BisectorReflexiveABDAAS

Down:

GivenCM = MKMidpointNKMAlternate InteriorCMEVerticalASA

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

Explanations:

Always start with the given statements and build toward the thing you want to prove. The first line(s) will basically be restating the given facts word for word.

The term "bisect" means to "divide in two equal pieces". Angle ABC is split into the two equal pieces of angles ABD and CBD, hence ABD = CBD. Segment CK is split into the equal pieces of CM and MK, meaning that CM = MK.

The reflexive theorem says any segment is congruent to itself, so BD = BD.

Vertical angles are formed when we intersect two lines to form an X shape. The vertical angles are opposite one another and always congruent.

Alternate interior angles are always congruent when we have parallel lines.

The AAS (angle angle side) congruence theorem says that two triangles are congruent if we have two pairs of congruent angles, and a pair of congruent sides. The congruent sides are not between the angles mentioned. The order matters.

AAS is slightly different from ASA. With ASA, the congruent sides are between the congruent angles.


Related Questions

question 1. write the product using exponents

Answers

Answer:

(- 0.9)³

Step-by-step explanation:

(- 0.9) × (- 0.9) × (- 0.9)

= (- 0.9)³

Need help please answer ASAP!

Answers

#10

x²-9x²-3²(x+3)(x-3)

Option A and B

#11

√9a²+16a²√a²(9+16)√a²(25)√5²a²5a

Option C

Answer:

   10. (2) x - 3

    11. (3) 5a

Step-by-step explanation:

Question 10

x² - 9 = (x + 3)(x - 3)x² - 5x + 6 = (x - 3)(x + 2)x - 3 is a common factor(2) x - 3

Question 11

Simplifying

√9a² + 16a²√a² (9 + 16)a√25(3) 5a

8. People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor?

Answers

The probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.

What is the probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

People with type O-negative blood are known as the universal donors, which means any patient can receive a transfusion of O⁻ blood from the donors.

Only 7.2% of the population of America has O-negative blood group. Thus, the probability of this population to donate blood is,

[tex]P=\dfrac{7.2}{100}\\P=0.072[/tex]

The probability of  population to be not O-negative,

[tex]P^{-1}=1-0.072\\P^{-1}=0.928[/tex]

The 10 people appear at random to give blood. The probability of at least 1 of them is a universal donor is,

[tex]P{\text { at least 1 }}=1-(0.928)^{10}\\P{\text { at least 1 }}=0.526[/tex]

Thus, the probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.

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. Find the value of x for which ABCD must be a parallelogram.
B
3x
4x - 5
A
D

Answers

Answer:

x = 5

Step-by-step explanation:

make them equal to each other

3x = 4x-5

x = 5

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Solve the equation E = v + Ir for r
A. r = E-v / I
B. r = I(E - v)
C. r = v + I / E
D. r = E - v - I
Show ALL Work

Answers

Answer:

A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]

Step-by-step explanation:

E = v + Ir

E - v = Ir (subtract by v on both sides)

(E-v)/I = r (divide by I on both sides)

[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]

Question 3
ceiling fan the blades of a ceiling fan have a length of 26 inches. the tips of the blades follow a circular path. how far does the tip of a
blade travel in 1/5 of a rotation? round to the nearest hundredth of an inch,
________inches

Answers

The distance the blades travel in 1/5 of a rotation is 32.67 in

Since the distance the blades of the ceiling fan rotate is the length of an arc, we find this length

What is the length of an arc?

The length of an arc is given by

L = Ф/360° × 2πr where

Ф = angle of rotation and r = length of blades of fan

Since

Ф = 1/5 of a rotation = 1/5 × 360° = 72° and r = 26 in

The distance the blades travel

So, substituting the values of the variables into the equation, we have

L = Ф/360° × 2πr

L = 72°/360° × 2π × 26 in

L = 1/5 × 52π in

L = 10.4π in

L = 32.67 in

So, the distance the blades travel in 1/5 of a rotation is 32.67 in

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A grandsons age in years is equal to his grandfather's age in years. The difference of the grandsons age in years and the grandfather's age in years is 77. Find the grandsons age in years.

Answers

The age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the age of the grandsons is x years and

age of the grandfather's age is y years

Here some data are misprinted, so we are assuming the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Then according to the problem:

12x = y  (as in 1 year, there are 12 months)

y -x = 77 (as difference in age is 77)

After solving both equations, we get:

x = 7 years and y = 84 years

Thus, the age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

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What is the resulting ordered pair if the value of the independent variable is –2? f(x)=2x^3+3x^2 A. (–5, –2) B. (–2, –4) C. (–2, –28) D. (–4, –2)

Answers

The resulting ordered pair if the value of the independent variable is –2 will be B. (-2, -4).

How to solve the variable?

From the information given, it was stated that we should calculate the resulting ordered pair if the value of the independent variable is –2.

Therefore, in this case, x = -2. Therefore, we will play it into the equation. This will be:

f(x)=2x³ +3x²

= 2(-2)³ + 3(-2)²

= -16 + 12

= -4

Therefore, the ordered pair will be (-2, -4).

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Find the midpoint M of the line segment joining the points A = (7, - 8) and B = (- 3, - 4)

Answers

Answer:

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Use this calculator to calculate the midpoint, the distance between 2 points, or find an endpoint given the midpoint and the other endpoint.

Step-by-step explanation:

Step-by-step explanation:

(7+(-3))/2 , (-8+(-4))/2(7-3)/2 , (-8-4)/24/2 , -12/2midpoint = (2,-6)

A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 7. What is asked for in the problem? 120 m. What is its area? 8. What facts are given? 9. What is the formula to solve the problem? 10. What is the complete answer?​

Answers

Question : A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 120m . Find area .

Answer

36000 sq. m

Solution

Given :

parallelogram is 300 m long and distance between base and its opposite side is 120m* .

Length = 300 m

Perpendicular height = 120 m

Formula used :

Area of parallelogram = Length × Perpendicular height.

=> 300 × 120

=> 36000 sq. m

_____________Parallelogram is a type of quadrilateral whose opposite sides are equal .

What is -2/8 simplified?

Answers

Answer:

[tex]\huge\boxed{\sf -\frac{1}{4} }[/tex]

Step-by-step explanation:

Given Fraction:

[tex]\displaystyle =-\frac{2}{8}[/tex]

Divide both numerator and denominator by 2 to simplify.

[tex]\displaystyle =-\frac{2 \div 2}{8\div 2} \\\\= -\frac{1}{4} \\\\\rule[225]{225}{2}[/tex]

hey there!

The simplified form of -2/8 is [tex]-1/4[/tex]

Hope this helps you :)

Find the surface area of the cone to the nearest square unit. Use π = 3.14.

Answers

Answer:

339.12 cm²

Explanation:

surface area of cone: πr² + πrl

where "r" is radius, "l" is slant height

Here given:

radius: 6 cmslant height: 12 cm

Solve for surface area:

πr² + πrl(3.14)(6)² + (3.14)(6)(12)113.04 + 226.08339.12 cm²
radius=r=6cml=12cm

So

TSA

πr(r+l)π(6)(6+12)6π(18)108π339.12cm²

can someone help me Im lost here

Answers

Answer:

  walk area = 125.6 m²

Step-by-step explanation:

You are asked for the area of a sidewalk of given width that is around a circle of given radius. The pattern you're asked to fill in would have you compute the area of the inner circle, and of the outer circle, then find the difference between the areas.

__

The formula for the area of a circle is ...

  A = πr²

bigger circle

The radius is shown as 11 m, so its area is ...

  A = π(11 m)² = 121π m² = 379.94 m²

smaller circle

The radius is shown as 9 m, so its area is ...

  A = π(9 m)² = 81π m² = 254.34 m²

area difference

The difference between the two areas is ...

  walk area = big circle area - small circle area

  walk area = 379.94 m² -254.34 m² = 125.6 m²

_____

Additional comment

The area can also be computed by multiplying the centerline length of the sidewalk by its width. The center of the walk is (9+11)/2 = 10 m from the centers of the circles, so the circumference (centerline length) is

  C = 2πr = 2(3.14)(10 m) = 62.8 m

The width of the sidewalk is 11 -9 = 2 meters, so its area is ...

  (2 m)(62.8 m) = 125.6 m² . . . . sidewalk area

What percent of 4c in each expression?
*2a

Answers

A percentage is a way to describe a part of a whole. The percentage of 4c that is equal to 0.04c is 1%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The percentage of 4c that is equal to 0.04c can be found as,

x% of 4c = 0.04

(x/100) × 4c = 0.04

[tex]x = \dfrac{0.04c \times 100}{4c}[/tex]

x = 1%

Hence, the percentage of 4c that is equal to 0.04c is 1%.

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32 - 5v = 3v + 8
Please answer this lol I only have 30 minutes left on my skills-

Answers

Answer:

3

Step-by-step explanation:

32 - 5v = 3v + 8

Subtract V from both sides

32 -5v = 3v + 832 -3v = -3v + 8

So . .

= 32 -8v = 8

Now . .

Subtract 32 from both sides

-32 -8v = 32-8 = -24= -8v = -24

Now divide to get your answer!

-24 / -8 = 3

what shape always has four congruent sides

Answers

Answer:

A rhombus

Step-by-step explanation:

A rhombus is a parallelogram with 4 congruent sides and it always has four congruent sides. It also has two pairs of equal angles.

Answer: rhombus

Step-by-step explanation: Correct answer is a rhombus! A rhombus is a parallelogram with 4 congruent sides and it always has four congruent lines . a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Out of 75 students, 45 are taking Algebra 2 and 32 are taking Chemistry. Sixteen students are taking both Algebra 2 and Chemistry. If a student is chosen at random, what is the probability that the student is taking Algebra 2 but not Chemistry?

Answers

Answer
29/75
Explanation
Total number of students = 75
Number of students taking algebra n(A) =45
Number of students taking chemistry n(C)=32
Number of students both taking algebra and chemistry n (ANC) =16
Number of students taking algebra only = n(A)-n(ANC)
=45-16
=29
The probability That the students are taking algebra not chemistry = 29/75

A rectangular swimming pool has a length of 50 meters, a width of 25 meters, and a depth of 2 meters. How much paint would be needed to cover the sides and bottom of the pool?

Answers

Answer:

2500m³

Step-by-step explanation:

A = length x width x height

50m x 25m x 2 m

=2500m³

a basket contains a supply of marbles of 4 different colors. marbles with the same color are assumed to be identical. in how many ways can you choose 6 marbles from the basket

Answers

For the basket with 4 different types of marbles, there are  4,096 combinations in which we can select 6 marbles (in order).

in how many ways can you choose 6 marbles from the basket?

Here we need to identify the number of selections. We have 6 selections (assuming that order matters).

Marble 1:Marble 2:Marble 3:Marble 4:Marble 5:Marble 6:

Now we need to find the number of options for each of these. We know that there are 4 different colors of marbles, then for each selection, we have 4 options:

Marble 1: 4 optionsMarble 2: 4 optionsMarble 3: 4 optionsMarble 4: 4 optionsMarble 5: 4 optionsMarble 6: 4 options

The total number of combinations is given by the product between the numbers of options, so we have:

C = 4*4*4*4*4*4 = 4,096 combinations.

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Last semester 150 out of thwhat is the 800 student at jungle junior high made the honor roll
what percent of the students made the honor roll

Answers

Answer:

Your sentence got cut out or sum.

Step-by-step explanation:

I'm assuming it's asking: What is 150 out of 800?

If so:

150/800 --> 3/16

3/16 --> Percent Form: 18.75%

Final Answer: 18.75%

In a cage there are 10 rabbits between males and females. 4 of them escape. What is the probability that 3 are female and only one is a male? There are originally 6 females and 4 males.

Please give answer in fraction and not percentage!

Answers

Answer:

[tex]\frac{8}{21}[/tex]

Step-by-step explanation:

let S be the sample space for this experiment.

card(S) = 10C4 = 210

Let E be the event “having 3 female and only one  male”

card(E) = 6C3 × 4C1 = 80

therefore

p(having 3 female and only one male escaped) is 80/210

[tex]\frac{80}{210} =\frac{8}{21}[/tex]

get it right for brainliest

Answers

Answer:

U={1,2,3,4,5,6,7,8,9,}

A={1,3,5,7,9}

B={2,4,6,8}

C={1,2,3,4,5,6}

now,

A∩B={nothing}U c

={1,2,3,4,5,6,7}

mark me as brainliest

Given the point (3, 3.5), name a second point so that the two points form a horizontal segment.

Answers

For the horizontal segment, the value of the ordinate will not change. Then the second point will be (x, 3.5).

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The point is given as (3, 3.5).

Then name a second point so that the two points form a horizontal segment.

For the horizontal segment, the value of the ordinate will not change.

Let x be the abscissa.

Then the point will be given as (x, 3.5).

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Simplify these four questions

Answers

Answer:

a. 5a + 3b-5

b. 4e^2 + f^2 + f

c. 42xy(z)^2

d. 7x(y)^2

Step-by-step explanation:

I added/subtracted/multiplied/divided like terms.

f(x) = 2x + 3
g(x) = 3x + 2
What does (f+g) (x)equal?
To obtain credit, provide your answer with no spaces. Example answer: 42x+9

Answers

Answer:

The product of the functions f(x) = x2 and g(x) = x - 8 is f(x).

NEED HELP QUICK - State the reference angle and what quadrant the terminal side of the angle is in.

Answers

Answer:

the answer is 225

Step-by-step explanation:

y+135=360

y=360-135

y=225

Suppose that the mean GPA (grade point average) for a random sample of all seventh graders at your school is 3.25 and the mean GPA for a random sample of all eighth graders at your school is 2.85. Explain why this does not tell us that the mean GPA of all seventh graders at your school is different from the mean GPA of all eighth graders at your school.

Answers

Answer:

I don't know how to explain

3. Find the probability of rolling a prime number when a 14-sided die is rolled.

Answers

Answer:

3/7

Step-by-step explanation:

Probability = number of favorable outcomes/total number of possible outcomes

We know the total number of possible outcomes is 14 since there are 14 sides to the dice.

Let's find how many of those numbers are prime numbers.

2, 3, 5, 7, 11, and 13 are all the prime numbers between 1 and 14, so there are 6 favorable outcomes.

Now create the fraction then reduce.

6/14 reduce by 2/2

3/7

Consider the sequence an = 9(0.4)n. which rule defines sn? sn = 6(0.4n) sn = 9(0.4n) sn = 6(1 – 0.4n) sn = 9(1 – 0.4n)

Answers

The rule that the defines the sum Sn is [tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]

How to determine the expression for Sn?

The formula of the sequence is given as:

an = 9(0.4)^n

The above means that:

The first term, a = 9Common ratio, r = 0.4

The sum Sn is then represented as:

[tex]S_n =\frac{a(1 - r^n )}{1 - r}[/tex]

So, we have:

[tex]S_n =\frac{9 * (1 - r^n )}{1 - 0.4}[/tex]

Evaluate the difference and divide

[tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]

Hence, the rule that the defines the sum Sn is [tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]

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BC = ??
need help asap

Answers

Answer:

BC = 5.87

Step-by-step explanation:

To find the last angle:

180° - 50° - 90° = 40°

Once we know that, we can use our given side angle pair to figure out the length.

[tex]\frac{7}{sin(50)}[/tex] * [tex]\frac{?}{sin(40)}[/tex] -> [tex]\frac{7*sin(40)}{sin(50)}[/tex]= ?

Then we plug into a calculator to get: 5.87

Answer:

5.87

Step-by-step explanation:

Concepts

The three different trigonometric functions are sine, cosine, and tangent. They can be memorized as the mnemonic SOHCAHTOA, where:

Sine = Opposite/HypotenuseCosine = Adjacent/HypotenuseTangent = Opposite/Adjacent

The hypotenuse will always stay the same, but depending on the highlighted angle, the opposite and adjacent side can change.

Application

In this case, we're asked to find the length of BC. We're given the length of the opposite side as 7 units. The adjacent side to m∠50° is BC. Since we're dealing with opposite and adjacent, we're going to be using tangent.

Solution (Calculator Needed)

tan(50°) = 7/xtan(50°) * x = 7/x * xtan(50°)x = 7x = 7/tan(50°)x ≈ 5.87
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