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4 years ago

Which of the following quadrilaterals have diagonals that bisect each other?

1 answer:

6 0

The correct answer is option A. i.e parallelogram. In a parallelogram, the diagonals bisect each other i.e. one diagonal cuts the other diagonal into equal parts. So, The diagonals of a parallelogram bisect each other. And all the other options, rhombus, rectangle and square are also parallelograms only.

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The points with coordinates (x, -1), (2,2), and (4,3) lie on the same line. What is the value of x?

borishaifa [10]

Find the slope of the line passing throught the points (2, 2) and (4, 3).

The formula of a slope:

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

Substitute:

$m=\dfrac{3-2}{4-2}=\dfrac{1}{2}$

If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:

Substitute:

$m=\dfrac{-1-2}{x-2}=\dfrac{-3}{x-2}$

We have the equation:

$\dfrac{-3}{x-2}=\dfrac{1}{2}$ cross multiply

$(1)(x-2)=(-3)(2)$

$x-2=-6$ add 2 to both sides

$x=-4$

<h3>Answer: x = -4.</h3>

7 0

3 years ago

A conveyor belt dumps gravel into conical piles. Kevin measured the height of one pile of gravel. It was 10 1/2

Eddi Din [679]

Answer:

189

Step-by-step explanation:

8 0

3 years ago

Find the prime factorization of 30

sattari [20]

Let us start dividing 30 by small prime numbers in increasing order .

the smallest prime number we use is 2

Let's divide 30 by 2 quotient is 15

so we get : 30 = 2* 15

15 is not a prime number , it can be factorized further .

now we start dividing 15

2 can not divide 15 so we move to next prime number that is 3

can 3 divide 15? yes .

we get a quotient 5

so 30 is now : 2* 15 = 2* 3*5

now we have to work on 5 but 5 is a prime number so we stop here .

the prime factorization of 30 is : 2* 3* 5

Answer : 2 *3*5

5 0

3 years ago

Read 2 more answers

~~~ 30 POINTS ~~~

trasher [3.6K]

1) 3x-2=x+10

Now, lets solve this step-by-step.

3x - 2 = x + 10
-x -x

3x - x = 2x 2x - 2 = 10

2x - 2 = 10
2x - 2+2 = 10+2 The inverse operation helps isolate the variable.

2x = 12

2x/2 = 12/2

x = 12/2
x = 6

Answer: x = 6

2) x + 4 = 19 - 2x 

We can solve this much faster

x + 4 = 19 - 2x
+2x

x+2x = 3x

3x + 4 = 19
-4 -4

19-4 = 15

3x= 15
3x/3 = 15/3
x= 5

Answer: x = 5

3) 8x - 20 = x + 15

Much faster now!!

8x - 20 = x + 15
-x
8x-x = 7x

7x - 20 = 15
+20 +20
15+20 = 35

7x = 35
7x/7 = 35/7
x = 35/7
x = 5

Answer: x= 5

3 0

3 years ago

Read 2 more answers

Accounting procedures allow a business to evaluate their inventory costs based on two methods: LIFO (Last In First Out) or FIFO

ivanzaharov [21]

Answer: The FIFO method result in lower cost of inventory than the LIFO method.

Step-by-step explanation:

In the FIFO method old inventories are used to determine cost of goods sold (COGS), which result to less income because COGS is lesser, while it is greater in LIFO.

However, in LIFO, old and outdated inventories are valued lower than the present price. It not a good indicator of ending inventory value.

B. To calculate the degree of freedom of the inventory sample given: 1. 225221, 2. 119100, 3. 100113, 4. 212200, 5. 248245.

STEP 1. Find the mean or average of the samples.

Let x be the sample average, and N the sample size which is 5

x = 225221 + 119100 + 100113 + 212200 + 248245/5 = 180975.8

STEP 2. Degree of freedom Df is given as Df = N - 1

Remember, N is the sample size given as 5.

Df = 5 - 1 = 4.

CONCLUSION:

This shows that four numbers from the samples given have the freedom to vary as long as the average remains 180975.8.

8 0

3 years ago