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const2013 [10]
2 years ago
7

What value of x would make the figure below a parallelogram? please show your work!​

Mathematics
1 answer:
lara31 [8.8K]2 years ago
8 0

Answer:

x = 8

Step-by-step explanation:

Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.

16x-4 + 7x = 180, combine like terms

23x - 4 = 180, add 4 on both sides (isolate variable)

23x = 184, divide 23 on both sides

x = 8

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Assuming the pattern continues, what are the next two terms in this
pshichka [43]
D. 53, 107
The pattern is multiplying the previous number by two and then adding one to it.
4 0
4 years ago
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27
gavmur [86]

Answer:

Option (c)

Chuy will save more than he needs and will meet his goal in less than 27 week.

Step-by-step explanation:

Given that, Chuy wants to buy a new television. The television cost is $1,350.

He decides to save the same amount of money each week.

After 8 weeks he saved $440.

Each week he saved =\$\frac{440}{8}

                                 =$ 55

If he saved $55 each week.

At the end of 27 week he will save = $(27×55)

                                                          =$1485

Therefore he will save $1485 at the end of 27th week.

The saved money is more than the cost price of the television.

Therefore Chuy will meet his goal in less than 27 weeks.

7 0
3 years ago
Which is more, 3 yards or 107 inches? 3 yards 107 inches neither; they are equal Submit
MakcuM [25]

We know, 1 yard=3 feet.

1 feet =12 inches.

Therefore, 1 yard in inches is,

\begin{gathered} 1\text{ yard=3 f}eet\times\frac{12\text{ inches}}{1\text{ feet}} \\ =36\text{ inches} \end{gathered}

Hence, 3 yards in inches is.,

\begin{gathered} 3\text{ yards=3}\times36\text{ inches} \\ =108\text{ inches} \end{gathered}

Therefore, 3 yards is greater than 107 inches.

5 0
2 years ago
What is the solution to the system of equations?
vivado [14]

Solution is in the attachment.


Answer: (5, -2, -3)

7 0
3 years ago
Suppose Q and R are independent events. Find P(Q and R). P(Q) = 0.87, P(R) = 0.51
eimsori [14]

Answer:

0.4437

Step-by-step explanation:

First we will define independent events.

Two events are said to be independent when the occurrence of one event doesn't affect the probability of occurrence of second event.

Given

P(Q)=0.87

and  

P(R)=0.51

The probability of independent events is given as:

P(Q∩R)=P(Q)*P(R)

=0.87*0.51

=0.4437

So the probability of Q and R is 0.4437 ..  

5 0
3 years ago
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