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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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A table of values of a linear function is shown below.
ikadub [295]

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-6-(-3)}{0-(-1)}

$m=\frac{-6+3}{0+1}

$m=\frac{-3}{1}

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

3 0
3 years ago
What is the cost in dollars for the nails to build a fence 125 meters long if it requires 30 nails per meter? Assume that 40 nai
Aleksandr [31]

Answer: $70.50

Step-by-step explanation:

30npm x 125m = 3750 nails total

3750/40 = 93.75, meaning you will need 94 boxes to complete the fence

94x0.75= $70.50

6 0
2 years ago
Gillian eats 12 skittles. If there was originally 25 skittles in the bag, what percent of the skittles did Gillian eat? (NOT A S
Maslowich

you divide 12 by 25 which is 0.48 and multiply it by 48 and the answer is 48%


4 0
3 years ago
2g + h =2<br>g -h= -5<br><br>find g and h step by step explanation​
wel

Answer:

Step-by-step explanation:

2g + h = 2 --------------(I)

g - h = -5------------(II)

   g = -5 + h

Plugin g = -5 + h in equation (I)

  2(-5 + h) + h = 2              {Distributive property:a(b+c) = a*b +a*c}

(-5)*2 + h *2 + h= 2

-10 + 2h  + h    = 2

             3h = 2 + 10

       3h = 12

         h = 12/3

h = 4

Substitute h= 6 in equation (I)  

2g + 4 = 2

    2g = 2 - 4

    2g = -2

      g = -2/2

g = -1

6 0
2 years ago
Simplify 5/6i please help
Leni [432]

Answer:

5/6 can´t be simplified

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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