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MAVERICK [17]
3 years ago
9

The perimeter of a triangle is 17x−5 units. One side is 3x+5 units and another is 8x−3 units. How many units long is the third s

ide?
Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

9514 1404 393

Answer:

  6x -7 units

Step-by-step explanation:

Let c represent the length of the third side. The perimeter is the sum of the three side lengths.

  P = a + b + c

  (17x -5) = (3x +5) +(8x -3) +c

 17x -5 = 11x +2 + c . . . . . . . . . . . . collect terms

  6x -7 = c . . . . . . . . . . . . . . subtract 11x+2

The third side is 6x -7 units.

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Quadrilateral CAMP below is a rhombus. The length of PQ is (x + 2) units, and the length of QA is
Phoenix [80]

Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.

<u>Step-by-step explanation:</u>

As given by the statement in the problem,

Q may be the middle point, which cut the diagonal PA into 2 equal halves.

In rhombus, diagonals meet at right angles.

which means that PQ = QA

x+2 = 3x - 14

Grouping the terms, we will get,

3x -x = 14+ 2

2x = 16

dividing by 2 on both sides, we will get,

x = 16/2 = 8

8+2 = 3(8) - 14 = 10 = PQ or QA

3 0
3 years ago
Write 640 : 30 in the lowest form.
OLga [1]

Answer:

should be 64:3

Step-by-step explanation:

divide by 10

6 0
2 years ago
Your family goes to a restaurant for dinner. There are 7 people in your family. Some order the chiken dinner for $ 12 dollars an
aleksandrvk [35]

Answer:

The number of people who ordered steak dinner is 5

The number of people who ordered chicken dinner is 2

Step-by-step explanation:

Given as :

The total number of people went for the dinner = 7

The total bill price for the dinner = $ 109

The price for the chicken dinner = $ 12

The price for the steak dinner = $ 17

Let The number of people who ordered chicken dinner = c

And The number of people who ordered steak dinner = s

Now, According to question

The total number of people went for the dinner = The number of people who ordered chicken dinner + The number of people who ordered steak dinner

Or, c + s = 7

And The total bill price for the dinner = The price for the chicken dinner × The number of people who ordered chicken dinner + The price for the steak dinner ×  The number of people who ordered steak dinner

Or, $ 12 × c + $ 17  × s = $ 109

Now, solving the equations

$ 12 × ( c + s ) = $ 12 × 7

Or,  $ 12 × c + $ 12  × s = $ 84

Or, (  $ 12 × c + $ 17  × s ) - (  $ 12 × c + $ 12  × s ) = $ 109 - $ 84

Or , (  $ 12 × c - $ 12  × c ) +  (  $ 17 × s - $ 12  × s ) = $ 25

Or, ( 0 ) + ( $ 5 s ) = $ 25

∴ s = \frac{25}{5}

I.e s = 5

So, The number of people who ordered steak dinner = s = 5

Put the value og s in Eq A

∵,  c + s = 7

or,  c = 7 - s

Or, c = 7 - 5

I.e   c = 2

So , The number of people who ordered chicken dinner = c = 2

Hence The number of people who ordered steak dinner is 5

And The number of people who ordered chicken dinner is 2   Answer

5 0
3 years ago
Mr. Omar assigns homework to his class and the homework requires students to
pychu [463]
Answer: no he is not correct
648
/ \
162 4
/ \ / \
81 2 2 2
/ \
9 9
/ \ / \
3 3 3 3

7 0
3 years ago
Helppppppppppppppppppppppppppp
d1i1m1o1n [39]

Answer:

(D) 59 MPH

Step-by-step explanation:

To do this, we simply must look at what the table is giving us. From the top left corner, we can see that they are supplying us with the mileage between each of the cities given. Since we're going from Dallas to Lubbock, find Dallas on the y-axis and go left until you see Lubbock.

The distance between Dallas and Lubbock is <u>351 miles</u>. Now, we have to take our given information, our desired travel time of <u>6 hours</u>, and divide from the miles to get our speed:

mph=miles/hours\\mph=(351)/(6)\\mph=58.5

Then, we round up to the nearest whole number to get our answer of 59 miles per hour.

8 0
3 years ago
Read 2 more answers
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