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2 years ago

Show that any number of the form ABCABC (e.g. 356356) is divisible by 13.

Mathematics

1 answer:

Shtirlitz [24]2 years ago

8 0

We could write such a number as

$10^5a+10^4b+10^3c+10^2a+10b+c$

$=10^2(10^3+1)a+10(10^3+1)b+(10^3+1)c$

$=(10^3+1)(100a+10b+c)$

$10^3+1=1001=13\cdot77$ so we're done.

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What is the area of this triangle? PLEASE HELP!!!!

SashulF [63]

9514 1404 393

Answer:

10 square units

Step-by-step explanation:

The triangle appears to have a base length (JL) of 4 units, and a height (JL to K) of 5 units. The area formula can be used:

A = (1/2)bh

A = (1/2)(4)(5) = 10

The area of the triangle is 10 square units.

3 0

2 years ago

8x+5y=24 y=-4x Solve for y and x

Cloud [144]

Answer:

x= -2 and y= 8

Step-by-step explanation:

8x+5y=24-------A

y=-4x---------B

Putting the value of y from B in A

8x+5(-4x)=24

8x +(-20x)= 24

8x-20x=24

-12x=24

x= -24/12

x=-2--------C y =-4(-2)=8

8 0

2 years ago

Please help! Worth 36 points!

CaHeK987 [17]

Answer:

a. Same Side Interior Angles

b. Corresponding Angle

c. Alternate Exterior Angle

d. Alternate Interior Angles

e. 20

f. 70

Step-by-step explanation:

e. Corresponding angle add up to 90 degrees. Which you have to subtract 110 to 90 and is 20

f. same side interior angle adds up to 180 degrees. Which you have to subtract 180 to 110 and it is 70

6 0

2 years ago

Is 12/35 less than 3/5

stepan [7]

Answer:

yes

Step-by-step explanation:

3/5 is closer to being a full number =D

7 0

2 years ago

Violin strings are parallel. Viewed from above, a violin bow in two different positions forms two transversals to the violin str

svlad2 [7]

ANSWER

$x=10$

and

$y=20$

EXPLANATION

Since corresponding angles are equal,

$4x+y=60---(1)$

Alternate angles are also equal, therefore,

$8x+y=100---(2)$

Equation (2) minus equation (1) gives,

$\Rightarrow 4x=40$

$\Rightarrow x=10$

We put $x=10$ in to equation (1)

$4(10)+y=60$

$y=60-40$

$y=20$

4 0

3 years ago