Somone help me on this free 20 poins

1. The Fill ups are as follow:

AB² +  BC² = AC. AD + AC. CD

2. Segment addition postulate

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

BC/ AC = CD/ BC and AB/ AC = AD/ AB

Now, BC² = AC. CD  and AB² = AC. AD

Using, Addition Property of Equality

AB² +  BC² = AC. AD + AC. CD

and, AB² +  BC² = AC (AD + CD)  [factor]

AD + CD = AD (segment addition postulate)

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PLATO

i got it correct :)

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

(x,y) ==> (x+2, y-1)

Step-by-step explanation:

Answer:

a = 5

Step-by-step explanation:

For the quadratic equation

ax² + bx + c = 0,

the discriminant is

b² - 4ac

Here we have ax² - x - 3, so we have

a = a

b = -1

c = -3

b² - 4ac = 61

(-1)² - 4(a)(-3) = 61

1 + 12a = 61

12a = 60

a = 5

answer:

the one described is the radius, so the diameter is 6 meters

3 X 2 = 6

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Answer:

6 meters

Step-by-step explanation:

The equation to find the diameter of a circle is,

radius * 2.

The radius of the swimming pool is 3, so 3 * 2 is 6.

The coordinates (4, 5) will make a rectangle with the three coordinates.

We have,

The coordinates on the graph are:

(2, 2), (2, 5), and (4, 2)

Now,

The coordinates (4, 5) will make a rectangle with the three coordinates given.

We see that,

(2, 2) to (4, 2), and (2, 5) and (4, 5) are parallel lines.

(2, 2) to (2, 5), and (4, 2) and (4,5) are parallel lines.

This proves a rectangle.

Thus,

The coordinates (4, 5) will make a rectangle with the three coordinates.

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Answer:

The police caught the bank robbers(passive)

Answer:

1. it's False because the radian measure of an angle is the length..

Transcribed image text: h of the following statements as true or false. replace lace the underlined word(s) or expression to produce a true statement. The radian measure of an angle equals the length of the arc it intercepts.on the Any degree measure can be converted to radians 180 by by _. To construct the inverse of a trigonometric function, the function must be restricted to a domain on which the function is either always increasing or The length of an arc intercepted by an angle is proportional to the radius; therefore, a central angle of - in a circle with radius k will intercept an an with length kt A triangle with side lengths 7, 11.and 14 has an area of 120-21 Area : Jlo (16-706-Ingen llo

Step-by-step explanation:

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Answer: 0.15meters

that the answer

Answer:

Angle ACB = 44°

There are two ways to solve it. Both are right

Solution number 1

From triangle ABC

angle BAC = 180°-(102° +44°) = 36°

Because BG is parallel with AC

Another solution

The sum of angles in the shape AGBC = 360°

9514 1404 393

Answer:

  (c)  5x and 3x, and 4 and 1

Step-by-step explanation:

Like terms have the same variable(s) to the same power(s).

The terms of this expression are ...

The like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.

Answer: 2.68cm²

Step-by-step explanation:

The front face has surface area 4x11 = 44mm². The one facing the left has surface area 6x4 = 24mm². Finally, the one facing upwards has surface area 11x6 = 66mm². Adding these up, we get 134mm² for the three faces we can see. Double this for the ones which are hidden and we get 268mm², or 2.68cm².

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Answer:  B) 3+y+3

This can be simplified to y+6, but the current un-simplified expression has 3 terms.

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

Explanation:

Terms are separated by a plus sign. If you had something like 10x-5y, then you would write that as 10x+(-5y) showing that 10x and -5y are the two terms.

Choices A and C, xy and 6y respectively, have one term each. They are considered monomials. Mono = one, nomial = name.

Choice D is the product of the constant 3 and the binomial y+3. Binomials have two terms.

Only choice B has three terms, though we can simplify it down to two terms. I have a feeling your teacher doesn't want you to simplify it.

Answer:

awea

Step-by-step explanation:

eae

Answer:

the definition of adjacent mathematically means two angles if they have a common side and a common vertex.

Step-by-step explanation:

a would b adjacent to d. c would be adjacent to d.

hightowerkatelyn94

This is the solution:

A. The constant of proportionality is :

1 : 28

For every gallon of gas, John can drive his car for 28 miles.

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

the answer is a

Step-by-step explanation:

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Answer:

a = 9

Step-by-step explanation:

First we substitute 1 into the quadratic equation :

(x+2)² = a

(1+2)² = a

(3)² = a

3×3 = a

a = 9

Hope you understood, hope this helped and brainliest please.

Answer:

c 48

Step-by-step explanation:

because they are all off by a factor of 6. 8*6 = 48

Answer:

Step-by-step explanation:

Answer:B is correct.

Step-by-step explanation:

Slope is a rate of change, so A is correct. Slope can be found on a graph by counting the vertical change (rise) over the horizontal change (run);

A small raindrop measuring 1.2 mm in diameter has a terminal velocity of 10.22 miles per hour. A large raindrop measuring 5.0 mm in diameter has a terminal velocity of 20.1 miles per hour. If there is a linear relationship between the diameter of a raindrop and its terminal velocity, what is the terminal velocity of a raindrop measuring 3.0 mm in diameter?​

Let

x -----> the diameter in mm

y -----> terminal velocity in miles per hour

so

In this problem we have the ordered pairs

(1.2,10.22) and (5.0,20.1)

step 1

Find the slope of the linear equation

m=(20.1-10.22)/(5.0-1.2)

m=9.88/3.8

m=2.6

step 2

Find the equation of the line

y-y1=m(x-x1)

we have

m=2.6

(x1,y1)=(1.2,10.22)

substitute

y-10.22=2.6(x-1.2)

step 3

For x=3.0 mm

substitute in the expression above

y-10.22=2.6(3.0-1.2)

y-10.22=4.68

y=4.68+10.22

y=14.9

therefore

Answer: y = 5x-2

Step-by-step explanation:

Answer:

9 days (round up)

Step-by-step explanation:

70 ÷ 8 = 8.75

           ≈ 9 (round up)

Answer:

1 23/28

Step-by-step explanation:

turn both of your numbers into fractions: 17/3 and 28/9

to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:

17/3 x 9/28

you can simplify this by simplifying 9 to 3 and 3 to 1.

this means you now have 17 x 3/28

multiply 17 and 3 together since they are the numerators, you should get 51/28

now turn this into a mixed fraction: 1 23/28

Answer:Note:  This symbol ≈ means approximately.

629 ≈ 600

215 ≈ 200

111 ≈ 100

588 ≈ 600

Now, we add the simplified numbers up: 600 + 200 + 100 + 600 = 1500. So, your answer is D or 1,500.

Step-by-step explanation:PLZZZ GIVE BRAINLYEST HOPE IT HELPS

Answer:

B,D,C,A,E

Step-by-step explanation:

-1, -4/3, 1/2, 2, 2 1/4

Answer:

BDCAE

Step-by-step explanation:

hope this help