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3 years ago

Prove that the difference between 9th square number and 5th square number is a multiple of 8?

Mathematics

1 answer:

Yuki888 [10]3 years ago

8 0

Answer:

Step-by-step explanation:

9th square number = 81

5th square number=25

81-25=56

56 is a multiple of 8 as 8 x 7=56

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HELP FOR 20 POINTSSS

Monica [59]

Answer:

The first one.

Step-by-step explanation:

solving for x:

5/2 = 7.5/x

cross multiply

2 ×7.5 =5x

x= 2×7.5/5

x= 3

solving for y:

values of the small triangle over the bigger triangle-

5/6 =7/y

cross multiply and solve for y

y= 8.4

therefore (x= 3; y= 8.4)

YOU ARE VERY WELCOME!

4 0

3 years ago

I will give a brainlest, i promise, please help me with this.

valkas [14]

Answer:

1) b and m

2) m∠8=m∠6

3) 160°

4)x=60°

Step-by-step explanation:

1) all straight lines sum to 180°

subtract the angles given from 180°

the other angle for b is 25°, while the other angle for m is 155°

so we can see that the angles for both lines are the same, hence they are parallel.

2) ∠8 should be the same as ∠6, ∠10 should be the same as ∠3, ∠7 same as ∠5 and ∠9 same as ∠4

in the options we are only given '∠8 should be the same as ∠6' as the correct answer, so we take that.

3) from the image we can see that both horizontal lines are parallel to each other, so both angles on the lines should be same, so ∠CET would be (2x-16)°

(2x-16)°+(7x+20)°=180°

we get x=20(nearest whole number)

∠CED=7x+20=7(20)+20=160°

4) since we need to show that they are parallel,

(2x+30)°=(4x-90)°

2x-4x=-90-30

-2x=-120

x=60

we then plug the x value into the two equations, in which we get 150° for both the angles [2(60)+30=4(60)-90] ⇒ (150=150)

I hope u understand it the way I put it.

8 0

3 years ago

Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always tur

daser333 [38]

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

$8=\underline{2}\times 2\times 2$

$22=\underline{2}\times 11$

Common is 2.

Therefore the LCM will be:

$2\times 2\times2\times 11 = \bold{88}$

So, the answer is 88 s.

5 0

3 years ago

Three corners of a rectangular dog park are located at the following coordinates: (–2, –1), (–2, 3), and (5, 3).

jekas [21]

Answer:

22 units

Step-by-step explanation:

8 0

3 years ago

What is 20.9/9.31? No need to explain. Just need the answer

Furkat [3]

2.24489795918
Is the answer

3 0

3 years ago

Read 2 more answers

Prove that the difference between 9th square number and 5th square number is a multiple of 8?​

Prove that the difference between 9th square number and 5th square number is a multiple of 8?