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solong [7]
3 years ago
11

in parallelogram abcd diagonals ac and bd intersect at point l . If Al= x-2 and ac =3x-16 , then which of the following represen

ts the length of cl answer
Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

The length of CI is 10 units.

Step-by-step explanation:

It is given that ABCD is a parallelogram and diagonals AC and BD intersect at point I.

The diagonals of a parallelogram bisect each other.

AI=CI

AC=AI+CI

AC=AI+AI                 [\because AI=CI]

AC=2AI

3x-16=2(x-2)

3x-16=2x-4

3x-2x=16-4

x=12

The value of x is 12.

CI=AI=x-2=12-2=10

Therefore the  length of CI is 10 units.

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Solving equations with rational numbers
Nonamiya [84]

Answer:

P= 2

T=6

3) 252$

Step-by-step explanation:

1) set up your equation 3/8p=6/8 then divide 3/8 from both sides (remember when you divide fractions you would multiply by the reciprocal so 3/8 x 8/6. Also make sure you simplify)

2) Do the same here. 38/7 divided by 19/21

3) Turn the fraction into an improper fraction then multiply 126 by that amount (3/6)

6 0
3 years ago
A line passes through the points (9,6) and (6,5). What is its equation in slope-intercept form?
Tju [1.3M]

Answer:

Y=X/3+3

Step-by-step explanation:

M= Y2-Y1/X2-X1

  = 5-6/6-9

  = -1/-3

  = 1/3

sub x=6, y=5, M=1/3 into Y=MX+C

5=6/3+C

5=2+C

5-2= 2+C-2

3=C

5 0
2 years ago
Please help me with 19 and 20 please
lesya [120]

9514 1404 393

Answer:

  19. B -- continued, but modest ...

Step-by-step explanation:

19. There is no decline or decrease indicated on this graph. If growth were exponential, the graph would be concave upward, which it is not. There is continued growth indicated.

__

20. The percentage change from 2005 to 2010 is ...

  (60 -20)/20 × 100% = 2 × 100% = 200%

One might compute an average rate of change per year of ...

  200%/(5 yr) = 40%/yr

_____

<em>Additional comment</em>

As with any statement of percentage, you need to be very clear about what the base is.

Here, 100% is the number of farms in 2005, so an increase of 40% per year is an increase by 40% of the number in 2005. That is very different from 40% of the number in the previous year, which is how an annual percentage increase is usually interpreted. (The average annual rate of change is closer to 24% with respect to the previous year's number.)

3 0
3 years ago
Nathan has 102 solid-colored disks that are red.
Alex787 [66]

Answer:

blue = 35

green = 29

red = 38

Step-by-step explanation:

Let r = red

Let g = green

let b = blue

r + g + b = 102

r = b + 3

b = g + 6    Subtract 6 from both sides of the equation

b - 6 = g

===================

substitute for red and green

(b + 3) + b + b - 6 = 102

b + 3 + b + b - 6 = 102

Combine like terms

3b - 3 = 102

Add 3 to both sides

3b - 3 + 3 = 102 + 3

3b = 105

Divide by 3

3b/3 = 105/3

b = 35

======================

r = b + 3

r = 35 + 3

r = 38

=======================

g = b - 6

g = 35 - 6

g = 29

========================

3 0
3 years ago
Read 2 more answers
Use a translator or whatever, just don't know how to do it. Will give most helpful answer brainliest, with an explanation and an
bekas [8.4K]
The answer is -60. this is because the signs implemented in front of numbers give it a sort pattern .

when there are two additions the last number after the positive sign will give a positive number 1 greater than the initial number for example + 5 + 6. Answer afterward will be + 7 and for negative sign eg: - 7 - 8 in the question will give the answer -8 the same number after a negative (-) sign .
Hope this helps
4 0
3 years ago
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