MATHEMATICS HIGH SCHOOL

Which statement can be used to prove that a given parallelogram is a rectangle?

Answers

Answer 1
Answer: Diagonals of the parallelogram are congruent.
Answer 2
Answer:

Answer:

Diagonals of the parallelogram are congruent.

Step-by-step explanation:

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What is 10% as a decimal point

Answers

10% as a decimal the answer is 0.10
Simply:

10% = 10 / 100              Cancel out

       = 1 /10

       = 0.1.          By long division.

        

A 4-pound bag of sugar contains 454 one-teaspoon servings and costs $3.49. A batch of muffins uses 1/4 cup of sugar. How many batches can you make if you use all the sugar? What is the cost of sugar for each batch? (1 cup = 48 teaspoons)

Answers

About 9 times with a remainder of 22 teaspoons

a pharmacy put 4.536 oz of vitamin pills into a bottle she put 0.042 oz of vitamin pills into each bottle how many bottles did the pharmacy use for these vitamin pills

Answers

Answer:

108 bottles

Step-by-step explanation:

the total is 4.536 oz of vitamin pills

each bottle can accomodate 0.042 oz of vitamin pills

to know the quantity of each bottle

we calculate

0.042 oz of vitamin pills  = 1 bottle

4.536 oz of vitamin pills = (4.536 x 1)/0.042=108

so therefore 4.536 oz of vitamin pills will accomodate 108 bottles

Round the decimal number to the nearest tenth 285.429

Answers

285.4

Because the .009 bumps the .02 up to a .03
.03 does nothing to .4 so it is 285.4

What is the most direct use of a compass in geometric constructions?A) to draw congruent angles


B) to draw arcs of a given size



C) to draw perpendicular lines



D) to draw straight lines

Answers

The most direct use of a compass in geometric constructions is to draw arcs of a given size.

What is the compass in geometry?

In geometry, a compass is a tool for drawing circles and arcs.

It consists of two arms, one with a pointed end and the other with a pencil or pen.

We have,

A compass is a tool used for drawing circles and arcs.

By adjusting the distance between the two arms of the compass, it can be used to draw circles and arcs of various sizes.

While a compass can also draw congruent angles and perpendicular lines, these constructions often require additional steps beyond simply drawing an arc of a given size.

Drawing straight lines typically requires using a straightedge, which is a different tool than a compass.

Thus,

The most direct use of a compass in geometric constructions is to draw arcs of a given size.

Learn more about compass in geometry here:

brainly.com/question/30909758

#SPJ2
(B) To draw arcs of a given size

Find the sum of the multiples of 3 from 3 to 99 inclusive

Answers

Multiples of 3 from 3 to 99 inclusive is a Aritmetic Progression where:

a1 = 3 
an = 99
r = 3

Using the formula of general terms:

a_n=a_1+(n-1).r\n \n 99=3+3(n-1)\n \n 99-3=3n-3\n \n 3n=99\n \n n=33

Calculating sum:

S_(33)=(33(a_1+a_(33)))/(2)\n \n S_(33)=(33(3+99))/(2)=(33*102)/(2)=1683
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