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3 years ago

Prove that the shape below is a rectangle.

Mathematics

2 answers:

Ulleksa [173]3 years ago

5 0

Answer:

HG = EF

GF = HE

Step-by-step explanation:

zlopas [31]3 years ago

4 0

Answer:

There are 4 sides and 4 corners, a rectangle has 4 angles, each measuring 90 , and the opposite sides of a rectangle have the same lengths and are parallel.

a parallelogram is known to have one right angle, then repeated use of co-interior angles proves that all its angles are right angles. If one angle of a parallelogram is a right angle, then it is a rectangle.

Step-by-step explanation:

It would be greatly appreciated if you gave me brainlest.

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What is the least common multiple of the two denominators?

rusak2 [61]

Answer:

Step-by-step explanation:

32 × 1 = 32

8 × 4 = 32

Therefore, the LCM is 32

8 0

2 years ago

HDTV screens usually have a width-to -height ratio of 16:9. Which screen dimensions are in the same proportion?

love history [14]

Answer:

4 feet by 3 feet

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

width-to -height ratio of 16:9

Let analyse all possible answers:

4 feet by 3 feet

16 divided by 4 is the same as 9 divided by 3 => it is true

28 inches by 21 inches

16 divided by 28 is different as 9 divided by 21 => it is wrong

48 centimeters by 27 centimeters

16 divided by 48 is different as 9 divided by 27 => it is wrong

26 inches by 19 inches

16 divided by 26 is different as 9 divided by 219=> it is wrong

We choose A.

Hope it will find you well.

7 0

3 years ago

In the pic thank you guys

Ahat [919]

Answer:

The soda costs 2.20 and the sandwich costs 7.70

Step-by-step explanation:

To find this, set the soda cost as x. We now know that the sandwich cost is 3.5x. Add these together and set equal to 9.90

x + 3.5x = 9.90

4.5x = 9.90

x = 2.20

This is the cost of the soda. Now we can multiply that by 3.5 to get the sandwich cost.

3.5 * 2.20 = 7.70

7 0

3 years ago

Find the missing value 8- = -5

podryga [215]

Answer:

x = 13

Step-by-step explanation:

call the missing number x

8 - x = - 5 Subtract 8 from both sides

8-8 - x = -5-8 Combine

-x = - 13 Multiply by -1

x = 13

6 0

3 years ago

Prove that the difference between a two-digit number and the product of its digits will always be a 2 digit number.

slamgirl [31]

Step-by-step explanation:

Let the two-digit number is $xy$

This can be written as:

10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9

The difference between the number and product of its digits is:

d = 10x + y - xy

Rewrite this as below:

d = 10x - xy + y - 10 + 10 =

x(10 - y) - (10 - y) + 10 =

(x - 1)(10 - y) + 10

We see that:

0 ≤ x - 1 ≤ 8 according to the condition given above
1 ≤ 10 - y ≤ 10 again according to the condition given above

The value of d is then:

0 + 10 ≤ d ≤ 8*10 + 10
10 ≤ d ≤ 90

<h3>Proved</h3>

7 0

3 years ago

Read 2 more answers