MATHEMATICS HIGH SCHOOL

The diagonals of parallelogram ABCD intersect at point E. Which of the following statements is not necessarily true?a. BD bisect AC
b. AB=CD
c. BAD=BCD
d. AC=BD

Answers

Answer 1

Answer:

Answer:

(D)

Step-by-step explanation:

It is given that The diagonals of parallelogram ABCD intersect at point E.

then, using the properties of parallelogram, we get

(A) BD bisects AC

This is correct statement because the diagonals bisect each other in parallelogram.

(B) AB=CD

This is correct statement because the opposite sides of the parallelogram are equal.

This is correct because opposite angles of the parallelogram are equal.

(D) AC=BD

This is not necessarily true, because if the diagonals of parallelogram are equal, then it is a rectangle.

Hence, option D is correct option that is not necessarily true.

Answer 2

Answer: I hope this helps you

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How to simplify -64^(1/3)
2x + y = -2x + y = 5The x-coordinate of the solution to the system shown is _____.

Which of the following expressions represents a function?{(1, 2), (4, –2), (8, 3), (9, –3)}

y2 = 16 − x2

2x2 + y2 = 5

x = 7

Answers

{(1, 2), (4, –2), (8, 3), (9, –3)} and x = 7 represents a function.

All of them are right except for number 1 like the “1 units up is wrong and the answer for that one is also not 5 or 6, I already tried so. Please I can’t get it wrong again!

Answers

Answer:

it is 5 to figure 9 you move 8 units and 2 units

If the volume of a cylinder with the height of 3 feet is 75 cubic feet, find the surface area of a cylinder in square feet. F25 G50 H80 J30

Answers

Surface area of cylinder = 2πrh+2πr²
Volume of cylinder = 2πr²×h
So:
75 = 2πr²×3
12.5 = πr²
r = 1.99(471140201)

A = 2π×1.99×3+2π×1.99²
= 62.39(265842) ft²

Final answer:

The surface area of a given cylinder with a volume of 75 cubic feet and a height of 3 feet is calculated to be 80 square feet by first finding the radius from the volume and height, then substituting those into the surface area formula.

Explanation:

To find the surface area of a cylinder, we first need to know the radius. Given the volume (V) of a cylinder is 75 cubic feet and the height (h) is 3 feet, we can use the formula V = πr²h to find the radius (r). Now, since V = 75 cubic feet and h = 3 feet, we can adjust our formula to solve for r: r = √(V/(πh)) = √(75/(3π)) and find the radius to be 2.88 feet. The formula for the surface area (SA) of a cylinder is SA = 2πrh + 2πr². Substituting r = 2.88 feet and h = 3 feet, we calculate the surface area to be 80 square feet. So the answer is H: 80 square feet.

Learn more about Cylinder Surface Area here:

brainly.com/question/31527481

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Cathy volunteered to collect cans for a school project. cathy collected 125 cans in 5 days. there were 6 volunteers including cathy who each collected about the same number of cans. about how many cans did they collect ?

Answers

Everyone got 4 cans a day but one person got 5 cans everyday. How? 125/5, cans collect/number of day equals 25 cans a day if you divide by 6 you get 4.1 and they can't collect a fraction of a can so then you do 6*4=24 but you need 25 a day so one of the people got an extra can.

Answer: They collected 750 cans.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Number of cans collected by Cathy: 125
Number of volunteers (including Cathy) : 6

So, calculate the total number of can that all the volunteers collected we have to simply multiply the number of cans that Cathy collected (125 ,Since each volunteer collected about the same number of cans) by the number of volunteers (6 including Cathy).

125 x 6 = 750 cans.

Feel free to ask for more if needed or if you did not understand something.

A) For ΔJKL use the Triangle Proportionality Theorem to solve for x. b) After you have solved for x, what is the Perimeter of ΔJKL?

(SHOW ALL YOUR WORK)

Answers

Answer:

Part a) The value of x is 10

Part b) The perimeter of triangle JKL is $79\ units$

Step-by-step explanation:

Part a) Find the value of x

we know that

The Triangle Proportionality Theorem, states that if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

$(3x-5)/(3x-5+10)=(28-8)/(28)\n \n(3x-5)/(3x+5)=(20)/(28) \n \n(3x-5)(28)=(3x+5)(20) \n \n84x-140=60x+100\n \n84x-60x=140+100\n \n24x=240\n \nx=10$

Part b) we know that

The perimeter of triangle JKL is equal to

$P=JK+KL+JL$

substitute the values

$P=(3x+5)+28+16=3x+49$

substitute the value of x

$P=3(10)+49=79\ units$

A sociologist conducts an experiment to see how watching a documentary on young men in gay relationships affects individual attitudes toward gay marriage. Both men and women are given a survey, but only those in the experimental group watch the video before answering the survey questions. Identify the dependent variables in this experiment.\

Answers

Answer:

those people in the experimental group who watch the video.

Step-by-step explanation:

A dependent variable is defined as a variable for which the value depends on the other factors. A change in the depended variable in an experiment changes the result of the experiment or the research.

In the context, a sociologist who conducts an experiment to see the affect on the relationship in the young men after watching a video. Here the dependent variable are the young men and women who are given the video to watch before they answer the question.

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