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alekssr [168]
2 years ago
12

At Norris Middle School 11 out of 22 students bike to school. At Lewis and Clark Middle School 14 out of 28

Mathematics
1 answer:
Darina [25.2K]2 years ago
5 0
Both ratios are equivalent due to the fact that 11/22 as a simplified fraction makes 1/2 and 14/28 also makes 1/2 if simplified.
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Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units. Which statements bes
valentinak56 [21]

Answer:

<h3>Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.</h3><h3>The value of x is 8.</h3>

Step-by-step explanation:

Given that Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units

From the given Q is the middle point, which cut the diagonal PA into 2 equal halves.

By the definition of rhombus, diagonals meet at right angles.

Implies that PQ = QA

x+2 = 3x - 14

x-3x=-14-2

-2x=-16

2x = 16

dividing by 2 on both sides, we will get,

x =\frac{16}{2}

<h3>∴ x=8</h3><h3>Since Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles we can equate x+2 = 3x-14 to find the value of x.</h3>

The line segment \overrightarrow{PA}=\overrightarrow{PQ}+\overrightarrow{QA}

\overrightarrow{PA}=x+2+3x-14

=4x-12

=4(8)-12 ( since x=8)

=32-12

=20

<h3>∴ \overrightarrow{PA}=20 units</h3>
3 0
2 years ago
An equilateral triangle has a semiperimeter of 6 meters.
guapka [62]

Answer:

7

Step-by-step explanation:

An equilateral triangle has a semiperimeter of 6 meters.

Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot

An equilateral triangle has a semiperimeter of 6 meters. What is the area of the triangle? Round to the nearest square meter.

2 square meters

7 square meters

20 square meters

78 square meters

7 0
2 years ago
Read 2 more answers
What is the first term of the expression?<br><br><br> −6xyz + 9xy + 12x + 18y <br><br> TIA!
tatyana61 [14]

For this case we have that by definition:

  • <em>The terms of a polynomial expression are those that are composed of coefficients and variables separated by signs of addition and subtraction. </em>

We then have the following expression:

-6xyz + 9xy + 12x + 18y

According to the definition, we can conclude that the first term is given by:

-6xyz

Answer:

The first term of the expression is:

-6xyz

4 0
1 year ago
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What value of n makes the equation true? -1/5n + 7 =2
klasskru [66]
The answer is 25.
-1/5n = -5
-n = -25
n = 25
7 0
1 year ago
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What is not a pair of equivalent fractions for 5/8 and 1/2
n200080 [17]
Two fractions equivalent to each: Just divide or multiply both top AND bottom by the same number.<span>
5/6: 10/12 OR 15/18 
15/30: 5/10 OR 1/2 
45/60: 8/12 OR 4/6 

Rewrite each pair or fractions with common denominator: Find the difference between the two bottom numbers, and multiply top and bottom number. 

5/8 and 3/4: 4X2=8, 3X2=6. So, 5/8 and 6/8. 
2/5 and 1/2: 2/5 and 2.5/5 
9/9 and 5/7: 9/9 and ~5.7/9 

Rewrite each in simple form: Find greatest common factor and divide. 

9/54: 1/6 
20/40: 1/2 
100/110: 10/11 

Are these fractions equivalent? 
No. 5/1 and 5/5 are, because they are both 5 wholes. 1/5 is not because it is a fifth of a whole. 


In what situation can you use multiplication to find equivalent fractions? 
I'm sorry but I do not understand this question. 
</span>Source(s):<span>I hope I  helped, seeing as I have graduated with a math degree.</span>
7 0
2 years ago
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