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AleksandrR [38]
4 years ago
15

Quadrilateral ABCD is a parallelogram with diagonals that intersect at point E. If AD=4w-5 DE=4 BE=x/2 BC=7w-17 solve for w.

Mathematics
1 answer:
Alex777 [14]4 years ago
8 0

Answer:

B. w = 4

Step-by-step explanation:

As we know, in a parallelogram length of opposite sides are equal.

so, AD = BC

⇒ 4w - 5 = 7w - 17

⇒ 12 = 3w

⇒ w = 4

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a business want to increase its number of employees by 65% to 20,460. How many employees does the company currently have?
Crazy boy [7]

Answer:

12,400

Step-by-step explanation:

Let the current employees be x

65% increase in number = 0.65x

If the total number of employees after the increase is 20,460, then;

x + 0.65x = 20,460

1.65x = 20,460

x = 20,460/1.65

x = 12,400

Hence the current number of employees is 12,400

5 0
3 years ago
The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for
larisa [96]

Let's assume

the price of each train ticket is x

we are given

total number of family members =5

so, total cost of ticket = total number of family members*the price of each ticket

so, total cost of ticket =5*x

so, total cost of ticket =5x

now, we have

each family member buys a boxed lunch for $6.50

so, total cost of lunch box = total number of family members*price of each lunch box

so, total cost of lunch box = 5*6.50

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we are given

total cost of trip is $248.50

now, we can plug values

and we get

248.50=5x+5*6.50

now, we can solve for x

248.50=5x+32.5

248.50-32.5=5x+32.5-32.5

216=5x

\frac{5x}{5} =\frac{216}{5}

x=43.2

so,

the price of each train ticket is $43.2..........Answer

8 0
3 years ago
Read 2 more answers
What value of n makes the equation true?​
Anastasy [175]

Answer:

6

Step-by-step explanation:

(4^{3} /4)^{3} = 4^{n} \\(4^{2})^{3} = 4^{n} \\4^{6} = 4^{n} \\n=6

5 0
3 years ago
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Sholpan [36]

Answer:

1. Three collinear points are R, X, and Q

2. Plane V is a quadrilateral

3. The three segments are PQ, RX, and XQ

4. The two rays are Xr and QS

5. The five lines (each taken alone) are Xr, QS, PQ, RX, and XQ

Step-by-step explanation:

1. Collinear points are points that lie in or can be located on the same line

2) A quadrilateral is a four sided two-dimensional shape

3) A line segment is a line portion between two end points

4) A ray is a line with one end point that extends to infinity in a direction

5) A line is a one dimensional straight geometric figure that extends to infinity in both directions.

5 0
3 years ago
What are the slope and the y intercept of the graph of the liner function shown on the grid
kow [346]
To find the slope use the Rise over Run rule
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Your slope is 2 and y-intercept is -4
6 0
3 years ago
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